A circle is divided into 8 sectors. Each sector has an area of approximately 5 square inches. What is the approximate area of the circle?

Question 5 options:

A. 25 square inches


B. 40 square inches


C. 15.7 square inches


D. 78.5 square inches

Answer:

8 minutes.

Step-by-step explanation:

We have been given that the guards change over between 10:16 pm and 10:25 pm which means the hallway is clear during that time.

We can see that the very first minute to cross the hallway without being noticed will be after 10:16 pm as guards start change over at 10:16 pm.

The very last minute to cross the hallway without being noticed will be before 10:25 pm as guards end change over at 10:25 pm.

So let us count number of minutes between 10:16 pm to 10:25 pm without including 10:16 pm and 10:25 pm.

So these minutes will be: 10:17 pm, 10:18 pm, 10:19 pm, 10:20 pm, 10:21 pm, 10:22 pm, 10:23 pm, 10:24 pm.  

Since given time interval includes 8 minutes, therefore, we have only 8 minutes to cross the yard without being noticed.

The person have only [tex]\boxed{{\mathbf{8 minutes}}}[/tex] to cross the yard without being noticed.

Further explanation:

It is given that the guards change over between [tex]10:16{\text{ pm}}[/tex] and [tex]10:25{\text{ pm}}[/tex] that means hallway is clear on that time.

The person can cross the halfway in the absence of the guard when the guards change over.

The person can cross the hallway after [tex]10:16{\text{ pm}}[/tex] without being noticed therefore, it is the very first minute to cross the hallway.

The person can cross the hallway before [tex]10:25{\text{ pm}}[/tex] without being noticed therefore, it is the very last minute to cross the hallway.

Now count the timings in which the person can cross hallway without being noticed.

[tex]\begin{aligned}10:17{\text{ pm,}}10:18{\text{ pm}},10:19{\text{ pm}},10:20{\text{ pm,}} \hfill \\10:21{\text{ pm, }}10:22{\text{ pm,}}10:23{\text{ pm, }}10:24{\text{ pm}} \hfill\\{\text{ }}\hfill\\\end{aligned}[/tex]  

Therefore, it can seen from the above timings that the time interval is 8 minutes in which the person can cross hallway as the hallway is clear.

Thus, the person have only [tex]8{\text{ minutes}}[/tex] to cross the yard without being noticed.

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Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Time.

Keywords: Time, minutes, hallway, cross, noticed, without being, person, time interval, clear on the time, seconds, yard, distance, change over, absence.

Final answer:

Felicia took out 1 quarter from her change. The difference in amount between before and after removing the quarters, which is $0.25, indicates that only one quarter was removed as each quarter is worth $0.25.

Explanation:

To determine how many quarters Felicia took out of her total change, we need to calculate the difference between the amount she had initially and the amount she had after removing the quarters.

Initially, Felicia had $4.17. After she removes the quarters, she is left with $4.42. The difference between these two amounts will tell us the total value of the quarters removed.

Subtract the smaller amount from the larger amount: $4.42 - $4.17 = $0.25.

Since each quarter is worth $0.25, we divide the total value of the quarters taken out by the value of one quarter to find the number of quarters.

$0.25 ÷ $0.25 per quarter = 1 quarter.

Therefore, Felicia took out 1 quarter.

Answer:

b = -5

Step-by-step explanation:

So we know

3a = -9

Divide 3 on both sides

a = -3

Plug a in to the other equation

-3b = 15

divide -3 on both sides

b = -5

Answer:

3400 grams.

Step-by-step explanation:

We have been that Noah made 12 kg of trail mix for his family's hiking trip. His family ate 8600 g of the trail mix on the hiking trip.

Let us convert 12 kg into grams.

1 kg= 1000 grams  

12 kg = 12*1000 grams =12000 grams.

Let u subtract 8600 from 12000 grams to find the amount of trail mix left.

[tex]\text{The amount of trail mix left}=12000-8600[/tex]

[tex]\text{The amount of trail mix left}=3400[/tex]

Therefore, Noah had 3400 grams left of trail mix.

Answer:

6.6% Would be the answer.

You can check by multiplying 1000 people by 0.06 and get 66 people which is the number of families for that survey.

If you can please mark brainliest ¯\_(ツ)_/¯

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Degree of 5 means there are 5 roots.

If 3 roots are real, then there are 2 remaining - which must be imaginary.

Answer:

The answer is C.

Step-by-step explanation:

Recall that as consequence of the Fundamental Theorem of Algebra, a polynomial of n-th degree has n complex roots (some roots, or all of them, can be real).

Now, as we have a polynomial of degree 5, it has 5 roots. From the statement we know that its graph has three intercepts with the X-axis, which is equivalent to the existence, at least, of three real roots. Moreover, we know that the multiplicity of each root is one. Then, we have exactly three real roots.

The above deduction means that there are other two roots, and those must be complex.

Answer:

Step-by-step explanation:

Answer:

7665 arrangements

Probability of rolling a 5: 1/6

Probability of rolling a number greater than 3: 3/6

The probability of rolling a 5 or a number greater than 3 on a six-sided die is calculated by summing the individual probabilities of rolling a 4, 5, or 6, which are each 1/6. Therefore, the total probability is 3/6 or 1/2, equating to a 50% chance.

To solve this, we need to identify the favorable outcomes and divide them by the total number of possible outcomes. A six-sided die has six possible outcomes: {1, 2, 3, 4, 5, 6}. The event of rolling a 5 or a number greater than 3 includes the outcomes {4, 5, 6}. Hence, there are three favorable outcomes for the desired event (rolling a 4, 5, or 6).

The probability of any single outcome is 1/6, as there are six sides to the die. Therefore, the probability of rolling a 5 or a number greater than 3 is calculated by adding the probabilities of rolling each of these numbers:

Adding these probabilities gives us 3/6 or 1/2, making the probability of rolling a 5 or a number greater than 3 being 50%.

Answer:

The correct answer is Option 4, the fourth graph

Step-by-step explanation:

We will go through why the other graphs are not the correct answer and then explain why the fourth is indeed the correct answer.

Option 1 is wrong because it has the general shape of the graph of an even valued function. These functions are either concave up or concave down.

Option 2 is wrong because it has the general shape of the cubic function. These functions are defined for both negative and positive values of x.

Option 3 is wrong because it is not defined for negative values of x. It has the general shape of the square root function.

Option 4 is correct because it has the general shape of the function [tex]f(x)=\sqrt[3]{x}[/tex]. Functions of this kind are defined for both negative and positive values of x.

Answer: the fourth Graph

Step-by-step explanation:

Answer:

In #1, the slope of the line is 3

Step-by-step explanation:

To find the slope of any line, you need to use the points in the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - 2)/(0 - -1)

m = 3/1

m = 3

This means the slope is equal to 3.

Given equation is:

[tex]T=36x+60[/tex]

Where T is the total cost; $36 is the entry fee per person and $60 is the one time bus parking fee.

As given, the bus holds up to 40 people, so let the total number of people be represented by 'x'

The bus holds up to 40 people so 'x' is either less than 40 or equal to 40.

Or this can be written as : [tex]x\leq 40[/tex]

Hence, the domain will lie between 0 and 40.

So option C : 0≤ x≤ 40 is the answer.

Answer:

c

Step-by-step explanation:

Answer:

x<=11

Step-by-step explanation:

2(x-3 ) <= 16

Distribute the 2

2x -6 <= 16

Add 6 to each side

2x -6+6<= 16+6

2x <= 22

Divide by 2

2x/2 <= 22/2

x<=11

11n is most probably the correct one.

Answer:

37.5

Step-by-step explanation:

The average rate of change is the amount over an interval the outputs change in a ratio to the input change. In a linear function, this is constant and called slope. In all other function, it is called the average rate of change because the rate of change varies over the interval. We use the same formula for the average rate of change as we do slope. First we need both the inout and output values of the function over the interval.

For x=1, [tex]f(1)=5(2^1)=5(2)=10[/tex].

For x=5, [tex]f(1)=5(2^5)=5(32)=160[/tex]

Slope:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We substitute [tex]x_1=1\\y_1=10[/tex] and [tex]x_2=5\\y_2=160[/tex]

[tex]m=\frac{160-10}{5-1}[/tex]

[tex]m=\frac{150}{4}=\frac{75}{2} =37.5[/tex]

Answer:

37.5

Step-by-step explanation:

D. Heptagon

A decagon has 10 sides

an octogon has 8 sides

a pentagon has 5 sides

a heptagon has 7 sides which in turn leaves you with your answer

plz mark brainliest hope this helps and have a nice day:)

Answer:

heptagon

Step-by-step explanation:

Decagon has 10 sides

Octagon has 8 sides

Pentagon has 5 sides

Heptagon has 7 sides

Answers: (a→b), (b→a), (c→c)

Explanation:

Column A:

a) [tex]y = -3x + \dfrac{1}{3}[/tex]

  m = -3  ⇒  m⊥ = [tex]\dfrac{1}{3}[/tex]

b) 6x - 2y = 4

         -2y = -6x + 4

            y =  3x - 2

  m = 3  ⇒  m⊥ = [tex]-\dfrac{1}{3}[/tex]

c) y - 3 = [tex]\dfrac{1}{3}[/tex](x - 3)

  m = [tex]\dfrac{1}{3}[/tex] ⇒  m⊥ = -3

Column B

a) y - 3 = [tex]-\dfrac{1}{3}[/tex](x - 3)

  m = [tex]-\dfrac{1}{3}[/tex]

b) y = [tex]\dfrac{1}{3}x + 6[/tex]

   m = [tex]\dfrac{1}{3}[/tex]

c) 3x + y = 3

           y  = -3x + 3

  m = -3

******************************************************************************

Column A letter a matches to Column B letter b

Column A letter b matches to Column B letter a

Column A letter c matches to Column B letter c

Answer:

The correct explaination is Point G can be the centroid because 12:6 equals 2:1

Step-by-step explanation:

Given in  triangle ABC, the segments drawn from vertices intersect at point G.

Segment FG measures 6 cm and and segment FC measures 18 cm.

FG = 6 cm & FC = 18 cm

and also FC = FG + GC

               18 = 6 + GC   ⇒ GC = 12

Note: The centroid divides each median in a ratio of 2:1

& 12:6 give rise to 2:1

Hence, the correct explaination for this is Point G can be the centroid because 12:6 equals 2:1

Answer:

C

Step-by-step explanation:

Answer:

The value for the expression [tex](A+B)^{2}[/tex] is the largest

Step-by-step explanation:

Since both A and B must be greater than 0 and A>B then we can assume the least possible values for B=1 and A=2.

So,

i) 2(A+B) = 2(2+1) = 2*3 = 6

ii) [tex](A+B)^{2}[/tex] = (A+B)*(A+B) = (2+1)*(2+1) = 3*3 = 9

iii) [tex]A^{2} + B^{2}[/tex]  = [tex]2^{2} +1^{2}[/tex] = 4+1 = 5

iv) [tex]A^{2} - B^{2} = 2^{2} - 1^{2}[/tex] = 4-1 =3

Inspecting the answers of the above four expressions, we see that the value for the expression [tex](A+B)^{2}[/tex] is the largest.

Answer: (A+B)^2 is the largest because it equals 9 when A=2 and B=1 are plugged in and the rest are less than 9

Answer:

DF=3.0cm, EF=3cm

Step-by-step explanation:

Given: ΔABC is similar to ΔDEF,

Therefore: [tex]\frac{AB}{DE} =\frac{AC}{DF}[/tex]

            ⇒[tex]\frac{2}{1.5}= \frac{4}{DF}[/tex]

            ⇒ DF=3.0cm

Now, by the similarity of triangles, we have Ef=3cm.

Answer:

Step-by-step explanation:

We know that

[tex]\triangle ABC \sim \triangle DE\ F[/tex]

[tex]AB=2cm\\BC=3cm\\CA=4cm\\DE=1.5cm[/tex]

Remember that a similarity between two triangles represent a proportional relation between corresponding side. In this case, such proportions are

[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]

So, we have to find sides DF and EF. Using given values, we have

[tex]\frac{AB}{DE}=\frac{BC}{EF}\\ \frac{2}{1.5}=\frac{3}{EF}\\ EF=\frac{3(1.5)}{2}=2.25[/tex]

Then,

[tex]\frac{AB}{DE}=\frac{AC}{DF}\\\frac{2}{1.5}=\frac{4}{DF}\\ \\DF=\frac{4(1.5)}{2}=3[/tex]

Therefore, the sides of △DEF are DE = 1.5cm, DF = 3cm, and EF= 2.25 cm.

Final answer:

The math club must sell at least 42 pies to meet their fundraising goal of $500, as they're selling each pie for $12.

Explanation:

To determine how many pies the math club needs to sell to raise at least $500, we can define a variable and create an inequality. Let's define the variable x to represent the number of pies sold. Since each pie is sold for $12, the inequality will be:

12x ≥ 500.

To solve for x, we divide both sides of the inequality by 12:

x ≥ 500 / 12,

x ≥ 41.67.

Since the math club cannot sell a fraction of a pie, they must sell at least 42 pies to meet their fundraising goal of at least $500.

There are 40 different ways could you choose a car black or blue Hyundai.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that Each dealership carries the same two car companies, and sells eight different models that all come in four colors.

The following steps can be used to determine the different ways could you choose a car:

Now Multiply 5 and 4 that is multiply five exterior color choices and six interior color choices.

5 x 4

Now Multiply the above expression with 2 that is with two model choices.

20 x 2

Further simplify the above expression.

= 40

There are 40 different ways could you choose a car.

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To determine the number of different Hyundais available in black or blue, you multiply the number of dealerships (6) by the number of Hyundai models (8) and the number of relevant colors (2), resulting in 96 different cars.

The question asks how many different cars you can buy if you want a black or blue Hyundai, given certain constraints. There are six dealerships, two car companies, eight models, and four colors available. To answer this, we calculate the total combinations possible with the given choices: dealerships (6), car companies (2), models (8), and colors (4). Since we are only interested in Hyundai cars in black or blue, we eliminate other colors and car companies from the choice set. The calculation is as follows:

Number of dealerships: 6
Car companies: 1 (only Hyundai)
Car models: 8
Car colors: 2 (black or blue)

To find the total number of possible combinations, we multiply the number of each category's choices together:

6 (dealerships)
* 1 (Hyundai)
* 8 (models)
* 2 (colors)
= 96 different cars

Cost of 12 basketball is $7.2

Given that;

Price of 15 basketball = $9

Find:

Cost of 12 basketball = 12

Computation:

Cost of 12 basketball = 12[9 / 15]

Cost of 12 basketball = 4[9 / 5]

Cost of 12 basketball = 36 / 5

Cost of 12 basketball = $7.2

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The problem can be solved using the power of a point theorem. First, let BD = x and EC = x + 12. Construct an equation: 8x = 6(x+12). Solving for x gives BD = 9 and EC = 21. The length of AC is then 35.

This problem can be solved using the concept of power of a point theorem in circle geometry. The power of a point theorem states that for any point outside a circle, the product of the lengths of the two line segments obtained by drawing secants from that point to the circle are always equal.

To apply this theorem to this problem, we'll first denote BD as x. Because the problem states that EC is 12 more than BD, we can denote EC as x + 12.

Now, using the power of a point theorem, we can write the equation (AD)*(DB) = (AE)*(EC). Substituting in the given values and the values we denoted for DB and EC, we get (8)*(x) = (6)*(x+12).

Solving this equation gives x = 9. Therefore, the length of BD is 9, and the length of EC is 21. To find the length of AC, we add the lengths AE, EC, and AD, which gives us AC = 6 + 21 + 8 = 35.

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Answer:$13

Step-by-step explanation:

Answer:

Leading coefficient = - 15

Degree = highest power on a variable = 4

Step-by-step explanation:

It might be easier to see if you rewrote the polynomial in the order it is normally presented.

Highest power goes on the left.

y = -15x4  -  10x^2 - 2x + 9

The leading coefficient (-15) is the number in front of the variable with the  highest power (x^4 or 4)

The highest power on a variable is the degree.