A kite is designed on a rectangular grid with squares that measure 1cm by 1 cm. A hexagonal piece within the kite will be reserved for the company logo. Use the grid to identify the perimeter and area of the space reserved for the logo.

A Kite Is Designed On A Rectangular Grid With Squares That Measure 1cm By 1 Cm. A Hexagonal Piece Within

Answers

Answer 1

Answer:

The answer is the first answer

P = 8 + 8√17 cm

A = 96 cm²

Step-by-step explanation:

* Lets study the figure

- Its a kite with two diagonals

- The shortest one is 12 cm

- The longest one is 26 ⇒ axis of symmetry of the kite

* To find the area reserved for the logo divide

 the hexagonal piece into two congruent trapezium

- The length of the two parallel bases are 4 cm and 8 cm and

  its height is 8 cm

- The length of non-parallel bases can calculated by Pythagoras rule

∵ The lengths of the two perpendicular sides are 2 cm and 8 cm

- 8 cm is the height of the trapezium

- 2 cm its the difference between the 2 parallel bases ÷ 2

  (8 - 4)/2 = 4/2 = 2 cm

∴The length of the non-parallel base = √(2² + 8²) = 2√17

* Now we can find the area of the space reserved for the logo

- The area of the trapezium = (1/2)(b1 + b2) × h

∴ The area = (1/2)(4 + 8) × 8 = (1/2)(12)(8) = 48 cm²

∵ The space reserved for the logo are 2 trapezium

∴ The area reserved for the logo = 2 × 48 = 96 cm²

* The area of the reserved space for the logo = 96 cm²

* The perimeter of the reserved space for the logo is the

  perimeter of the hexagon

∵ The lengths of the sides of the hexagon are:

   4 cm , 4 cm , 2√17 cm , 2√17 cm , 2√17 cm , 2√17 cm

∴ The perimeter = 2(4) + 4(2√17) = 8 + 8√17 cm

* The perimeter of the reserved space for the logo = 8 + 8√17 cm


Related Questions

if the air temperature is 20°c and the relative humidity is 55 percent, will the dew point be reached if the temperature drops to 20°C?

Answers

Answer:

Your dew point would be at 10.

Step-by-step explanation:

Which choice is equivalent to the product below? Square root Of 8 Times Square root 3

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Answer:

The answer would be around 3.7

Step-by-step explanation:

Complete the statements describing investments by filling in the correct words. Different investments have different levels of and offer different rates of return. For example, investing in property than investing in bonds.

Answers

Answer:

Risk

More risky

Step-by-step explanation:

Got it right on edmunto

Answer:

Different investments have different levels of - RISKS and offer different rates of return. For example, investing in property is MORE RISKY than investing in bonds.

The property rates can change drastically within a short period of time, while bonds are static in income. This is why investing in property is riskier than investing in bonds.

(Q8) The graph of an exponential function is given. Which of the following is the correct equation of the function? (Picture Provided)

Answers

Answer:

b. [tex]y=3.9^x[/tex]

Step-by-step explanation:

Remember that the standard exponential function is [tex]y=ab^x[/tex]

where

[tex]a[/tex] is the coefficient

[tex]b[/tex] is the base

If [tex]b>0[/tex], the function is growing

If [tex]0<b<1[/tex] the graph is decaying

We can infer from the graph that the function is growing, so we can discard [tex]y=0.45^x[/tex] and [tex]y=0.73^x[/tex].

Now, to evaluate our tow remaining equations, we are using the test values [tex]x=0[/tex] and [tex]x=1[/tex]:

For [tex]y=1.8^x[/tex]

For [tex]x=0[/tex]

[tex]y=1.8^0[/tex]

[tex]y=0[/tex]

For [tex]x=1[/tex]

[tex]y=1.8^1[/tex]

[tex]y=1.8[/tex]

The graph passes through the points (0,1) and (1, 1.8)

For [tex]y=3.9^x[/tex]

[tex]x=0[/tex]

[tex]y=3.9^0[/tex]

[tex]y=0[/tex]

[tex]x=1[/tex]

[tex]y=3.9^1[/tex]

[tex]y=3.9[/tex]

The graph passes through the points (0,1) and (1, 3.9)

We can see in the graph when [tex]x=1[/tex], [tex]y[/tex] is almost 4, so we can conclude that the correct equation is [tex]y=3.9^x[/tex]

Which expression best represents the product of two consecutive integers? CLEAR CHECK x?(2+x) x?(x+1) 2?(x+1) 2x+2

Answers

Answer:

The product of two consecutive integers:x · (x+1) = x(x + 1)

Step-by-step explanation:

Consecutive integer:

... -2, -1, 0, 1, 2, 3, ...

Difference between two consecutive integers is equal to 1.

Therefore two consecutive integers is x and x + 1.

What is the surface area of a box that is 237.7 in squared if it is scaled up by 10

Answers

What is the problem or question that goes with this statements?

20 POINTS!!!!!!!!!
Which data sets could be used to create the box plot below?
4, 11, 8, 12, 1, 6, 14
10, 6, 9, 14, 1, 6, 12, 7
14, 10, 6, 9, 11, 8, 1
6, 8, 11, 1, 7, 14, 10
7, 9, 11, 1, 6, 7, 14, 8

Select more than one answer

Answers

4,12,16,22,32,45648383929282

Answer:

B.)  10, 6, 9, 14, 1, 6, 12, 7

&

D.)  6, 8, 11, 1, 7, 14, 10

Step-by-step explanation:

i got it right

will mark brainliest !!!!!!

Answers

The base of the middle triangle is 3 and the base of the larger one is 6, so the larger triangle is twice the size of the middle one.

Multiply the height of the middle one by 2 to get the height of the larger one, which is labeled n.

n = 5 x 2 = 10

Justin receives $15 $ 15 and puts it into his savings account. He adds $0.25 $ 0 . 25 to the account each day for a number of days, d , after that. He writes the expression 15+0.25(?1) 15 + 0 . 25 ( d - 1 ) to find the amount of money in his account after d days. Which statement about his expression is true?

Answers

Answer:

15.25

Step-by-step explanation:

Answer:

It is the sum of the initial amount and the additional amount after d days.

Step-by-step explanation:

It is the sum of the initial amount and the additional amount after d days.i have ttm

Myra invested $10,000 in an account earning a nominal 8% per year compounded continuously. How much was in the account at the end of one year? Round the answer to nearest dollar.

Answers

Answer:

[tex]\$10,833[/tex]  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

[tex]A=P(e)^{rt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

[tex]t=1\ years\\ P=\$10,000\\ r=0.08[/tex]  

substitute in the formula above  

[tex]A=\$10,000(e)^{0.08*1}=\$10,833[/tex]  

Final answer:

Compound interest computed continuously after one year on a principal sum of $10,000 with an 8% interest rate will yield $10,833, rounded to the nearest dollar.

Explanation:

Your question relates to the mathematics topic of compound interest. When interest is compounded continuously, we use the formula A = P * e^(rt), where A is the amount of money accumulated after n years, including interest. P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal form), and t is the time in years.

In your case, you are looking to find how much $10,000, invested at a nominal 8% per year compounded continuously, would amount to at the end of one year. Substituting the given values into the formula, we have:
A = $10,000 * e^(0.08*1).

The value of 'e' is approximately 2.71828. Therefore, we calculate:
A = $10,000 * 2.71828^0.08 = $10,833.

So, the amount in the account at the end of one year, rounded to the nearest dollar, would be $10,833.

Learn more about Compound Interest here:

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How do the expressions 72 / 9 and -72/ (-9) compare when they are evaluated?


A. They have different values and are different signs.

B. They have different values but are the same sign.

C. They have the same value but are different signs.

D. They have the same value and the same sign.

Answers

Answer:

D. They have the same value and the same sign.

Step-by-step explanation:

72 / 9 and -72/ (-9)

Answer:

D

Step-by-step explanation:

just took the test

35 POINTS HELP PLEASE! RUNNING OUT OF TIME!

Answers

Answer:

[tex]\large\boxed{9x^8,\ 25x^{12},\ 36x^{16}}[/tex]

Step-by-step explanation:

[tex]Use\\(\sqrt{s})^2=s\ for\ s\geq0\\(a^n)^m=a^{nm}\\(ab)^n=a^nb^n\\a^n\cdot a^m=a^{n+m}\\===========================\\6x^2=(\sqrt6)^2x^2=(x\sqrt6)^2\to\boxed{NOT}\\\\9x^8=3^2x^{4\cdot2}=3^2(x^4)^2=(3x^4)^2\to\boxed{YES}\\\\16x^9=4^2x^{8+1}=4^2x^{4\cdot2}\cdot x=4^2(x^4)^2x=(4x^4)^2x\to\boxed{NOT}\\\\25x^{12}=5^2x^{6\cdot2}=5^2(x^6)^2=(5x^6)^2\to\boxed{YES}\\\\36x^{16}=6^2x^{8\cdot2}=6^2(x^8)^2=(6x^8)^2\to\boxed{YES}[/tex]

Answer:

[verb] to allow someone to do; to allow something; to acquiesce on something; to concede something.

The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 60. Jake scored 520 on the test. What percent of students scored below Jake? Include a step by step description of the process you used to find that percentage. (Round your answer to the nearest whole number.)

Answers

Answer:

63 percent student scored below Jake.

Step-by-step explanation:

For finding the percentile

Step 1: Subtracting mean from Jake’s score

=520-500

=20

Step 2: Calculating z-score

The z-Score is found by dividing the difference obtained in step 1 by SD of the data

z-score=  20/60

z-score=0.333

Step 3: Converting the z-score to percentile

The z-score will be converted to percentile using the z-score to percentile conversion table, the value of percentile for 0.3333 is 63rd .  

So, 63 percent students scored below Jake.  

Please help me out if possible. :)

Answers

Answer:

R(c - a, b)

Step-by-step explanation:

Look at the picture.

R(x, y)

y - is the same as second coordinate of the point Q → y = b

x - is first coordinate of the point S reduced by distance a → x = c - a

What is the value of X in the triangle below to the nearest degree? The triangle is not drawn to scale. I selected an answer but I’m not sure about it

Answers

Answer:

x = 25

Step-by-step explanation:

To find the value of x we use the formula:

tan x° = opposite side /adjacent side

Opposite Side = 8

Adjacent Side = 17

tan x° = 8/17

tan x° = 0.4705882352941

[tex]Tan^{-1}[/tex] of [tex]0.4705882352941[/tex]

x° = 25

What is the sum of the series 3,---5,-13..........-229

Answers

ANSWER

[tex]S_{30}= - 3390[/tex]

EXPLANATION

The given sequence is

3,-5,-13,.....-229.

The first term of this sequence is

a_1=3

There is a common difference of

[tex]d = - 5 - 3 = - 8[/tex]

The last term of this sequence is -229.

The nth term of this sequence is given by:

[tex]a_n=a_1+d(n-1)[/tex]

We use the last term to determine the number of terms in the sequence.

[tex] - 229 = 3 + - 8(n - 1)[/tex]

[tex]- 229 - 3= - 8(n - 1)[/tex]

[tex]- 232= - 8(n - 1)[/tex]

Divide through by -8;

[tex]29= (n - 1)[/tex]

[tex]n = 30[/tex]

Hence there are thirty terms in the sequence.

The sum of the first n terms is given by:

[tex]S_n= \frac{n}{2} ( a_{1} + l)[/tex]

The sum of the first 30 terms is given by:

[tex]S_{30}= \frac{30}{2} ( 3 + - 229)[/tex]

[tex]S_{30}=15( - 226)[/tex]

[tex]S_{30}= - 3390[/tex]

Need Answer ASAP

What is the equation of a line that is parallel to y=47x−3 and passes through (14, 4) ?

Answers

PARALLEL slopes always have the same slope no matter what because they are parallel

Answer:

[tex]y=47x-654[/tex]

Step-by-step explanation:

To find the line parallel to the given linear equation, we have to use the same slope, because the condition of parallelism is that they must have the same slope.

So, the slope of the given line is [tex]m=47[/tex], because it's expressed in slope-intercept form, where the coefficient of the variable x is the slope.

Now, we know that they new parallel lines must have a slope equal to 47, and must pass through (14,4). Using this data, we apply the point-slope formula to find the equation of the new line:

[tex]y-y_{1}=m(x-x_{1})\\y-4=47(x-14)\\y=47x-658+4\\y=47x-654[/tex]

The image attached shows the parallelism.

Therefore, the answer is [tex]y=47x-654[/tex]

In 2000 there were approximately 27 million people 18-24 years old in the United States.

Answers

I don’t know why I never think there’s that many people

The ratio of boys to girls in a group is 5:3. If there are 16 more boys than girls, work out how many people there are in total.

Answers

We find that there are 24 girls and 40 boys, leading to a total of 64 people in the group.

To solve for the total number of people in the group given the ratio of boys to girls and the information that there are 16 more boys than girls, we can set up a proportion based on the ratio 5:3. Let the number of girls be represented by x and the number of boys be represented by x + 16, as there are 16 more boys than girls. From the ratio 5:3, we know that for every 8 parts (5+3), there are 5 parts boys and 3 parts girls. This gives us two equations: 5/8 of the total is boys, and 3/8 of the total is girls.

From the information given:

(x + 16) / x = 5 / 3

Cross-multiplying gives us:

3(x + 16) = 5x

3x + 48 = 5x

48 = 5x - 3x

48 = 2x

x = 24

This means there are 24 girls. Since there are 16 more boys, this means there are 24 + 16 = 40 boys. Adding up the boys and girls gives us the total number of people in the group:

40 boys + 24 girls = 64 people in total.

Find the exact value of sine, cosine, and tangent of A and T for each triangle.

Answers

Answer:

See below  

Step-by-step explanation:

19)

  13² =  4² + AM²

 169 = 16  + AM ²

AM ² = 153

AM =√153 = √(9× 17) = 3√17

sinA = MT /AT  = 4/13

cosA = AM/AT  = (3√17)/13

tanA = MT/AM  = 4/(3√17)   = (4√17)/51

sinT = AM/AT  = (3√17)/13

cosT = MT/AT  = 4/13

tanT = AM/MT = (3√17)/4

20)

10² =  5² + AJ²

100 = 25  + AJ²

AJ² = 75

AJ = √75 = √(25×3) = 5√3

sinA = JT/AT  = 5/10       = ½

cosA = AJ/AT = (5√3)/10 = (√3)/2

tanA = AJ /AJ = 5/(5√3)  = (√3)/3

sinT = AJ/AT = (5√3)/10 = (√3)/2

cosT = AJ/AT = 5/10       = ½

tanT = AJ/JT  = (5√3)/5   = √3

1.) 2x + y = 3 2.) x - 2y = -1 If equation 1 is multiplied by 2 and then the equations are added, the result is

Answers

3×2=6
6+(-1)=6-1=5
The answer is 5

Ernestine deposited $6800 into a savings account that earns 3.5% simple interest each year calculate annually what is the future value of understands account to 16 years

Answers

Answer:

[tex]\$10,608[/tex]

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]A=P(1+rt)[/tex]

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=16\ years\\ P=\$6,800\\r=0.035[/tex]

substitute in the formula above

[tex]A=\$6,800(1+0.035*16)=\$10,608[/tex]

Quick does anyone know the answer to this algebra question? Will give brainiest

Answers

Reducing the equation, we get:

3^(3-3a) = 3^(-2a)

So 3-3a = -2a, a = 3.

The value of the variable 'a' will be 3. Then the correct option is C.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

[tex]7 + 42 \cdot 3^{2 - 3a} = 14 \cdot 3^{-2a} + 7[/tex]

Simplify the equation, then we have

[tex]42 \cdot 3^{2 - 3a} = 14 \cdot 3^{-2a}\\\\3^{2 - 3a} = \dfrac{1}{3} \cdot 3^{-2a}\\\\\left (3 \right )^{2 - 3a } } = (3)^{-1 - 2a}[/tex]

Compare the power of the number 3, then we have

- 1 - 2a = 2 - 3a

3a - 2a = 2 + 1

a = 3

The value of the variable 'a' will be 3. Then the correct option is C.

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Each bottle of lemonade costs the local soccer team $0.75 they have $437.25 in their treasury to buy as many bottles of lemonade as possible to sell for a profit at their soccer games. How many bottles can they afford to buy.

Answers

$437.25 ÷ $0.75 = 583 bottles of lemonade

Hope this helps :)

State the domain and range of the graph in interval notation.

Answers

Answer:

The domain is the interval [tex][-6,6][/tex]

The range is the interval [tex][-2,2][/tex]

Step-by-step explanation:

we know that

Observing the graph

The domain is the interval [tex][-6,6][/tex]

All real numbers greater than or equal to -6 and less than or equal to 6

The range is the interval [tex][-2,2][/tex]

All real numbers greater than or equal to -2 and less than or equal to 2

The graph's domain spans from -6 to 6, and the range extends from -2 to 2. In summary, the domain is [-6, 6], and the range is [-2, 2].

In the given graph, the domain represents all possible input values, and it spans from -6 to 6, inclusive. This is because the graph includes every real number greater than or equal to -6 and less than or equal to 6 along the horizontal axis.

The range, on the other hand, corresponds to the output values of the function and extends from -2 to 2, inclusive. This is derived from the observation that the graph encompasses all real numbers greater than or equal to -2 and less than or equal to 2 along the vertical axis.

The domain is [-6, 6], indicating all real numbers between -6 and 6, and the range is [-2, 2], signifying all real numbers between -2 and 2. The graph visually illustrates these intervals as the inclusive bounds for both domain and range.

To learn more about domain

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in the symbol AB, the letter A represents a(n) ANSWERS : a.) segment b.) ray c.) point d.)plane

Answers

It would have to be C. point.

Since it says AB that marks two points and a line in between them. If only talking about A, it would be a point.

Answer:

Option: C is the correct answer.

                c.)  Point

Step-by-step explanation:

In the symbol AB:

AB represents a line segment which connects point A to point B.

If there would be an arrow over this with right arrow then it would represent a ray which originates at point A an it extends to infinity from the other direction.

Hence the letter A will represent a : Point.

Which expressions are equivalent to 5x-15?Check all that apply


5(x+15)

5(x-3)

4x+3y-15-3y+x

-7y-6x-8y+x

-20-3x+5+8x

Answers

Answer:

Step-by-step explanation:

4×+3Y-15-3y+×

The equivalent expressions to 5x-15 are 5(x-3), 4x+3y-15-3y+x, and -20-3x+5+8x. These simplify to 5x-15 when combining like terms and distributing, matching the original expression.

The student is asking which expressions are equivalent to 5x-15. To find the equivalent expressions, we need to check each option to see if they simplify to the same form.

5(x+15) is not equivalent because when you distribute the 5, you get 5x + 75, which is not the same as 5x - 15.5(x-3) is equivalent because when you distribute the 5, you get 5x - 15, which matches the original expression exactly.4x+3y-15-3y+x is equivalent because when you combine like terms (4x + x and 3y - 3y), you get 5x - 15.-7y-6x-8y+x is not equivalent because even if you combine like terms, the x terms do not add up to 5x, nor do the constants add up to -15.-20-3x+5+8x is equivalent because when you combine like terms (-3x + 8x), you get 5x, and when combining constants (-20 + 5), you get -15; hence, it simplifies to 5x - 15.

Therefore, the expressions 5(x-3), 4x+3y-15-3y+x, and -20-3x+5+8x are equivalent to 5x - 15.

HELP PLEASE LAST QUESTION I NEED!!!!!!!!!!!!!!!!!

Answers

The question is a little blurry. I can't read it.

Answer:

I believe the answer is c.

Step-by-step explanation:

Solve the equation (linear equation)

[tex]4^{x-7}[/tex] × [tex]8^{2x-3} =\frac{32}{2^{x-9} }[/tex]

Answers

Answer: [tex]x=\frac{37}{9}[/tex]

Step-by-step explanation:

By the negative exponent rule, you have that:

[tex](\frac{1}{a})^n=a^{-n}[/tex]

By the exponents properties, you know that:

[tex](m^n)^l=m^{(nl)}[/tex]

[tex](m^n)(m^l)=m^{(n+l)}[/tex]

Rewrite 4, 8 and 32 as following:

4=2²

8=2³

32=2⁵

Rewrite the expression:

[tex](2^2)^{(x-7)}*(2^3)^{(2x-3)}=\frac{32}{2^{(x-9)}}[/tex]

Keeping on mind the exponents properties, you have:

[tex](2)^{2(x-7)}*(2)^{3(2x-3)}=32(2^{-(x-9)}[/tex]

[tex](2)^{2(x-7)}*(2)^{3(2x-3)}=(2^5)(2^{-(x-9)})\\\\(2)^{(2x-14)}*(2)^{(6x-9)}=(2^5)(2^{(-x+9)})\\\\2^{((2x-14)+(6x-9))}=2^{(5+(-x+9))}[/tex]

As the bases are equal, then:

[tex](2x-14)+(6x-9)=5+(-x+9)\\\\2x-14+6x-9=5-x+9\\\\8x-23=14-x\\9x=37[/tex]

[tex]x=\frac{37}{9}[/tex]

Answer:

[tex]x=4\frac{1}{9}[/tex]

Step-by-step explanation:

We are given the following linear equation and we are to solve it:

[tex] 4 ^ { x - 7 } \times 8 ^ { 2x - 3 } = \frac { 32 } { x ^ { x - 8 } } [/tex]

Changing the constants to the same base to make it easier to solve:

[tex] 2 ^ { 2 ( x - 7 ) } \times 2^ { 3 ( 2x - 3 ) } = \frac { 2 ^ 5 } { 2 ^ { x - 9 } } [/tex]

[tex]2^{2x-14} \times 2^{6x-9} = 2^{5}(2^{-x+9})[/tex]

[tex] 2 ^ { 2x - 14 + 6x - 9 } = 2 ^ { 5 - x + 9 } [/tex]

[tex] 2 x + 6x - 14 - 9 = 5 - x + 9 [/tex]

[tex]8x+x=14+9+5+9[/tex]

[tex]9x=37[/tex]

[tex]x=4\frac{1}{9}[/tex]

A warehouse worker moved 108 pallets in 4.5 hours. In minutes, what is the rate to move one pallet? The worker will be off the clock in 2 hours. How many pallets can he move before quitting time?

Answers

Number of pallets moved in 4.5 hours = 108

converting 4.5 hours in minutes we get,

4*60 + 0.5*60 = 240+30 = 270 minutes

So, 108 pallets were moved in = 270 minutes

1 pallet was moved in = [tex]\frac{270}{108}=2.5[/tex] minutes

As the tie will get over in 2 hours or 2*60 = 120 minutes, the number of pallets that can be moved will be = [tex]\frac{120}{2.5}= 48[/tex] pallets.

Hence, 48 pallets can be moved before quitting time.

Answer:

The answer is 2.5 minutes; 48 pallets

Step-by-step explanation:

Number of pallets worker moved in a warehouse = 108

Number of hours it takes to do so  = 4.5

Rate at which they require to move one pallet is given by

Number of pallets worker moved in a warehouse = 108

Number of hours it takes to do so  = 4.5

Rate at which they require to move one pallet is given by

4.5/108 x 60 minutes = 2.5 minutes

Now, if the worker will be off the clock in 2 hours ,

So, number of pallets he can move before quitting time is given by

In 4.5 hours, number of pallets they moved = 108

In 1 hour, number of pallets they moved = 108/4.5 = 24

In 2 hours, number of pallets they moved = 24 x 2 = 48

Other Questions
The division algorithm states that if p(x) and d(x) are polynomial functions with d left parenthesis x right parenthesis not equals 0 comma and the degree of d(x) is less than or equal to the degree of p(x), then there exist unique polynomial functions q(x) and r(x) such that What arguments can be made to support the claim that the Protestant Reformation was a very important consequence of the printing press? Select the boxes to show results of Otto the Great's rule.Results of Otto the Great's Rule Charlemagne's empire collapses.The German part of Charlemagne's kingdom is divided among several dukes.The region becomes known as the Holy Roman Empire.The Church's power grows.Alliances are formed by several German nobles. Which is an example of a sphere of influence? A. A nation is politically independent, but an imperial power controls its trade. B. A nation is under complete political and cultural control of an imperial power. C. A nation is protected by an imperial power in return for trade privileges. D. A nation forms an alliance with an imperial power, and both reap benefits. Remi invests ?600 for 5 years in a saving account. By the end of the 5 years he has received a total of ?75 simple interest. Work out the annual rate of simple interest Which of these statements is true?A.The amount of money spent on education in Colombia is one of the lowest rates in South America.B.The amount of money spent on education in Colombia is one of the highest rates in South America.C.The quality of education in Colombia is the same in both urban and rural areas.D.Over 90 percent of eligible students attend school in Colombia. Suppose you are a casino owner, and your casino runs a very simple game of chance. The dealer flips a coin. The customer wins $9 from the casino if it comes up heads and loses $10 if it comes up tails. Question 1. Assuming no one is cheating and the coin is fair, if a customer plays twice, what is the chance they make money? Which best describes the view of Earths surface from space? A. a planet covered in alternating bands of land and water B. a planet covered mostly by land C. a planet covered equally by land and water D. a blue planet covered mostly by water Women have a greater BAL then men of the same weight because women have less Which phrase defines the reasons why the federal government collects taxes? Which phrase grants the federal government the power to collect taxes? In the poem "Counting Small-boned Bodies" by Robert Bly, the speaker is _____. Is there a proportional relationship between x and y? Explain. x8101214 y57911 1. Andrew will roll a number cube and flip a coin for a probability experiment. The faces of the number cube are labeled 1 through 6. The coin can land on heads or tails. If Andrew rolls the number cube once and flips the coin once, write a list that contains only the outcomes in which the number cube lands on a number less than 3? 2. A study of a population of 1,500 dogs revealed that 15 out of every 125 dogs in the population have spots on their back. Based on the results of this study, how many dogs in the population do NOT have spots on their back? 3. For his lunch, David is making a sandwich that must consist of bread, cheese, and meat. David can choose from white, French or rye bread, either American or Swiss cheese, and the choice of turkey, ham or pastrami as a meat. Create a tree diagram to represent the combinations of bread, cheese, and meat David could make for his sandwich. 4. Joel has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Joel's Jumble has 2 classical songs, 13 rock songs, and 5 rap songs on it. What is the probability that the first song that Joel hears is a rap song? 5. You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from. If you randomly choose your character and tool, what is the probability that you'll be a magic elf? Molecules in a gas dont stick together, so they cant form drops as a liquid does. How could you compare two different gases to determine which gas particles are more strongly attracted to each other? How does the kinetic molecular theory explain the pressure exerted by gases Tenochtitln is laid out on a grid plan that is reminiscent of which earlier culture? What does the o in front of irish surnames mean? Help me plz show work What is the first threat to life from a massive third-degree burn? given -1/2 x>6.choose the solution set Steam Workshop Downloader