Find the measure of CD.
Round to the nearest tenth.
Please Help Me I Need It.

Answer:

The number of students per year increasing

Answer:

44 and 46

Step-by-step explanation:

Let

x,x+2-----> the  two consecutive positive even integers

we know that

[tex](x+x+2)^{2}=x^{2}+(x+2)^{2} +4,048[/tex]

Solve for x

[tex](x+x+2)^{2}=x^{2}+(x+2)^{2} +4,048\\ \\4x^{2} +8x+4=x^{2}+x^{2} +4x+4+4,048\\ \\2x^{2} +4x-4,048=0[/tex]

Solve the quadratic equation by graphing

The solution is x=44

see the attached figure

therefore

the numbers are

x=44

x+2=46

What is the question?

I would say there would be 5 blue pencils, 4 green pencils, and 2 red pencils. I say this because the chance of grabbing a green pencil is smaller than the blue, and the chance of grabbing a red one is smaller than the green one, as a result, we are left wit 5 blue pencils, 4 green pencils, and 2 red pencils.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Compare the ratio of the measure of corresponding sides, that is

AB = 6 and A'B' = 2

BC = 3 and B'C' = 1

Calculate the ratio of A'B'C' to ABC, then

scale factor = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

a=4

Step-by-step explanation:

6.97a = 27.88

Divide 6.97a on both sides

6.97a/6.97a = 27.88/6.97a

a=4

6.97a = 27.88

Divide both sides by 6.97.

6.97a/6.97 = 27.88/6.97

a = 4

ANSWER

[tex]y = - \frac{3}{x + 2} [/tex]

EXPLANATION

The given parent function is:

[tex]y = \frac{1}{x} [/tex]

When this function is vertically stretched by a factor of 3, then we have

[tex]y = \frac{3}{x} [/tex]

A reflection across the y-axis transforms the function to;

[tex]y = - \frac{3}{x} [/tex]

When the resulting function is shifted to the left, the transformed function becomes;

[tex]y = - \frac{3}{x + 2} [/tex]

The answer is:

It will take 7.5 hours to paint the room together.

Using the given information we need to write an equation considering both Colleen and Rebecca rates.

For Colleen we know that she can paint a room in 12 hours, so, her equation will be:

[tex]\frac{1Room}{12hours}*t=\frac{t}{12}[/tex]

Being "t" the time used to paint.

For Rebecca, we know that she can paint a room in 20 hours, so, her equation will be:

[tex]\frac{1Room}{20hours}*t=\frac{t}{20}[/tex]

Now, if we want to calculate the time needed to paint 1 room, we have:

[tex]\frac{t}{12}+\frac{t}{20}=1\\\\\frac{12*t+20*t}{12*20}=1\\\\\frac{12t+20t}{240}=1\\\\\frac{32t}{240}=1\\\\32t=240*1\\\\t=\frac{240}{32}=7.5[/tex]

Hence, we have that it will take 7.5 hours to paint the room together.

Have a nice day!

Answer:

7

1

0.1666666667

The following exponents can be simplified as follows:

The exponent of a number says how many times to use the number in a multiplication.

For example: 8 to the Power 2( or 8^2)

In 8^2 the "2" says to use 8 twice in a multiplication,

so 8^2 = 8 × 8 = 64

In words: 8^2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared".

So coming to the question:

a) 7^1 = 7 times 1 from definition that 7*1=7

b)To prove this one, I will go with the property of exponents:

  [tex]a^{(b-c)}=\dfrac{a^b}{a^c}[/tex]

implies:

[tex]4^0=4^{(2-2)}=\dfrac{4^2}{4^2} =1[/tex]

c)Applying the previous property:

[tex]6^{-1}=6^{0-1}=\dfrac{6^0}{6^1}=\dfrac{1}{6}[/tex]

Therefore, with the help of definitions and property of exponent, we can simplify it.

To know more about properties of exponent refer to:

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Final answer:

The coordinates of the y-intercept of 5x − 5y = 4 are (0, -4/5).

Explanation:

The y-intercept of a linear equation represents the point where the line intersects the y-axis. To determine the coordinates of the y-intercept, we set the x-coordinate to 0 and solve for y. In the equation 5x - 5y = 4, To determine the coordinates of the y-intercept of the equation 5x − 5y = 4, we set the x-value to 0 since, by definition, the y-intercept occurs where the line crosses the y-axis (x=0). The equation simplifies to -5y = 4. we substitute x=0 and solve for y:

5(0) - 5y = 4
-5y = 4
y = -4/5

Therefore, the coordinate of the y-intercept is (0, -4/5).

Answer:

i think its -2

because the object increased in size but nothing else changed the slope stays the same the slope is the same as the original shape

if i am wrong i apologize  

Step-by-step explanation:

The slope of the rectangle will be the same as ABCD option (B) -2 is correct, which is the slope of the ABCD.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′.

As we know, if dilate the rectangle by factor 2 the slope of the sides will not change.

Thus, the slope of the rectangle will be the same as ABCD option (C) -2 is correct, which is the slope of the ABCD.

Learn more about the rectangle here:

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Answer:

The first example: a · (b · c) = (a · b) · c

Step-by-step explanation:

The associative property regroups values by changing the location of parentheses. If you notice, the order of the values is not changed. Both sides have a x b x c, only the parentheses have been moved. Moving the parentheses changes the progression of what is multiplied (whatever is in the parentheses is multiplied together first) but doesn't change the final answer.

The statement a. (b . c)  =  ( a . b ) . c describes the correct property.

Associative property for multiplication states that rearranging the terms and brackets places in a multiplication of two or more than two terms does not change the result of the multiplication.

There are more properties multiplication is commutative also for example a×b = b×a

a . ( b . c ) = ( a . b) . c is the right answer here brackets have been changed according to the statement.

Learn more about Associative property :

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Answer:  [tex]24\sqrt{3}in^2[/tex] or  [tex]41.56in^2[/tex]

Step-by-step explanation:

You can find the area of a regular hexagon with the following formula:

[tex]A_{(hexagon)}=\frac{3\sqrt{3}s^2}{2}[/tex]

Where "s" is any side of the regular hexagon.

For this hexagon you know that the length of each side is 4 inches. Then, you must substitute [tex]s=4in[/tex] into the formula  [tex]A_{(hexagon)}=\frac{3\sqrt{3}s^2}{2}[/tex].

Therefore, the area of this regular hexagon is:

 [tex]A_{(hexagon)}=\frac{3\sqrt{3}(4in)^2}{2}[/tex]

 [tex]A_{(hexagon)}=24\sqrt{3}in^2[/tex] or [tex]A_{(hexagon)}=41.56in^2[/tex]

Answer:

the answer is 24 square root 3

Step-by-step explanation:

Answer:

38: is A

39: is A

Step-by-step explanation:

To express rates in the lowest terms, divide both the numerator and denominator by their greatest common divisor. For unit rates, calculate the rate per single unit of item or time. Example: $7 for 2 kg simplifies to a rate of $3.50 per kg, six teachers for 108 students simplifies to one teacher for 18 students, $20 for 5 T-shirts becomes $4 per T-shirt, and 45 miles in half an hour translates to 90 miles per hour.

Question 38: Our goal is to express the rates in the lowest terms.

Question 39: Here, we will convert the given rates to unit rates.

Answer:

Step-by-step explanation:

(LOOK AT THE PICTURE)

ΔADC and ΔCDB are similar (AAA). Therefore the corresponding sides are in proportion:

[tex]\dfrac{AD}{CD}=\dfrac{CD}{DB}[/tex]

We have

[tex]AD=16,\ CD=x,\ DB=9[/tex]

Substitute:

[tex]\dfrac{16}{x}=\dfrac{x}{9}[/tex]          cross multiply

[tex]x^2=(9)(16)\to x=\sqrt{(9)(16)}\\\\x=(\sqrt9)(\sqrt{16})\\\\x=(3)(4)\\\\x=12[/tex]

bear in mind that, a perpendicular line stemming from the right-angle like so, creates three similar triangles, a large one, containing the other two smaller ones, a medium and a small.

so.. .we can just use the medium and small proportions.

Check the picture below.

Answer:

9

Step-by-step explanation:

namely, how many times does 2/3 go in 6?

[tex]\bf 6\div\cfrac{2}{3}\implies \cfrac{6}{1}\div\cfrac{2}{3}\implies \cfrac{6}{1}\cdot \cfrac{3}{2}\implies \cfrac{3}{1}\cdot \cfrac{6}{2}\implies 3\cdot 3\implies 9[/tex]

Answer:

34

Step-by-step explanation:

The volume is calculated as approximately 33.5 cubic inches when rounded to the nearest tenth.

The question asks us to calculate the volume of a sphere with a known radius using the value of 3.14 for pi. The formula for the volume of a sphere is V = (4/3)πr³. Given that the radius (r) is 2 inches, we substitute the given values into the formula to find the volume:

V = (4/3)πr³

V = (4/3) × 3.14 × (2 inches)³

V = (4/3) × 3.14 × 8

V ≈ 33.51 cubic inches

We then round the result to the nearest tenth to get the final answer:

The approximate volume of the ornament is 33.5 cubic inches.

Answer:

Step-by-step explanation:

simplify both sides of the equation

-x^2+16=-7

subtract 16 form both sides

-x^2= -23

divide by -1

x^2=23

take square root

and your answer is x= plus or minus (square root) of 23 or -23

Answer:

Step by STEP explanation

Answer:

D. 12 units

Step-by-step explanation:

The distance between two points is found by

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

   sqrt( (4 -4)^2 + (-5-7)^2)

 sqrt((0^2 + (-12)^2)

 sqrt(0+144)

sqrt(144)

12

For this case, to find the roots of the function, we equate to zero.

[tex]x ^ 3 + 2x ^ 2-x-2 = 0[/tex]

We rewrite how:

[tex]x ^ 3 + 2x ^ 2- (x + 2) = 0[/tex]

We factor the maximum common denominator of each group:

[tex]x ^ 2 (x + 2) -1 (x + 2) = 0[/tex]

We factor the polynomial, factoring the maximum common denominator[tex](x + 2):[/tex]

[tex](x + 2) (x ^ 2-1) = 0[/tex]

By definition of perfect squares we have to:

[tex]a ^ 2-b ^ 2 = (a + b) (a-b)[/tex]

ON the expression[tex](x ^ 2-1):[/tex]

[tex]a = x\\b = 1[/tex]

So:

[tex](x ^ 2-1) = (x + 1) (x-1)[/tex]

Thus, the factorization of the polynomial is:

[tex](x + 2) (x + 1) (x-1) = 0[/tex]

[tex]x_ {1} = - 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]

ANswer:[tex]x_ {1} = - 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]

Answer:

is it a right triangle or no ?

Step-by-step explanation:

Answer: For Last Question 4.50

Step-by-step explanation:It depends on the price per pound. Let's say the price per pound is 50 cents (or 0.50). (This is an example, the answer I'm giving will most likely NOT be correct, due to the nature of your question - sorry!) To calculate the price of Derek's package, you would multiply 7 (the weight of the package) by 0.50 (the price per pound), which totals to 3.50 Next, to calculate the price for Keisha's package, you'd do the same thing, but instead of multiplying 7 by the price per pound, you would multiply 10 by the price per pound, or 0.50. This multiplies out to 5 dollars. Next you'd subtract Derek's price from Keisha's, which is 5 - 3.50 or 1.50. If it is asking for a percentage, it would be about 150%.

Answer:

the answer is 42.93

Step-by-step explanation:

just did it

For this case we have that by definition, the volume of a cylinder is given by:

[tex]V = \pi * r ^ 2 * h[/tex]

Where:

A: It is the radius of the cylinder

h: It's the height

We have according to the data that:

[tex]r = \frac {34} {2} = 17 \ m\\h = 27 \ m[/tex]

Substituting in the equation we have:

[tex]V = \pi * (17) ^ 2 * 27\\V = \pi * 289 * 27\\V = 24501.42\ m^3[/tex]

ANswer:

[tex]V = 24501.42\ m^3[/tex]

Answer:

1536 in²

Step-by-step explanation:

S = 6s²

We are told that s = 16 inches, so plugging in:

S = 6 (16)²

S = 1536 in²

Answer:

13

Step-by-step explanation:

x² = 5²+12²

x² = 25+144

x² = 169

x² = 13²

x = 13

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} r=4 \end{cases}\implies A=\pi 4^2\implies A=16\pi \implies \stackrel{\pi =3.14}{A=50.24}[/tex]

Answer:

50.24 sq units

Step-by-step explanation:

Answer:

The angle is 50.2°.

Step-by-step explanation:

The tree and its shadow from a right triangle with the tree being the perpendicular and the shadow being the base as shown in the figure attached.

Therefore the angle θ formed by the sun's rays and the ground is:

[tex]\theta = tan^-1(\frac{18}{15} )=\boxed{50.2^o}[/tex]

The angle formed by the sun's rays and the ground can be found using trigonometry and it is approximately 50.19°

Given: length of tree is 18 ft. and the shadow of tree is 15 ft.

To find: angle formed by suns rays and the ground

This question involves using trigonometry to find the angle formed by the sun's rays and the ground. We can use the tangent function which is:

[tex]\tan \theta = \frac{\text{perpendicular}}{\text{base}}[/tex]

Here the perpendicular is the length of the tree, base is the shadow of the tree and θ is the angle formed by suns rays and ground. So, plugging the values we get:

[tex]\tan \theta = \frac{18}{15}[/tex]

We see that 15 and 18 have 3 as a common factor so we can divide the numerator and denominator by 3 to simply the fraction and we get:

[tex]\tan \theta = \frac{6}{5} = 1.2[/tex]

To find the angle, we take the inverse tangent of the ratio:

[tex]\theta = tan^{-1} (1.2)[/tex]

θ ≈ 50.19°

Thus, the angle formed by the sun's rays and the ground is approximately 50.19°.

Answer: option a

Step-by-step explanation:

You can calculate the volume of a prism with this formula:

[tex]V_{prism}=lwh[/tex]

Where l is the lenght, w is the width and h is the height.

You can identify from the figure that:

[tex]l=12cm\\w=5cm\\h=2.54cm[/tex]

Then, substituting these values into the formula, you get that the volume of this prism is:

[tex]V_{prism}=(12cm)(5cm)(2.54cm)=152.4cm^3[/tex]

Answer:

Final answer is choice a) [tex]Volume = 152.4 \, cm^3[/tex]

Step-by-step explanation:

Given that length of the prism = 12 cm

Given that width of the prism = 5 cm

Given that height of the prism = 2.54 cm

Then volume of the rectangular prism is given by formula:

[tex]Volume = (Length)(Width)(Height)[/tex]

[tex]Volume = (12 cm)(5 cm)(2.54 cm)[/tex]

[tex]Volume = 152.4 \, cm^3[/tex]

Hence final answer is choice a) [tex]Volume = 152.4 \, cm^3[/tex]

Step-by-step Answer:

There is a total of 10 coins, 5 dimes, 2 quarters and three pennies.

By picking a coin, it could be any that shows up out of the 10, so the probability of picking any coin in particular is 1 / 10.

If there are 5 dimes, the probability of picking ANY one particular dime is 1/10, so with 5, the probability of picking ANY of the five dimes is 5/10 = 1/2.

Going along the same line of thought, the probability of picking any of quarters and pennies would be 2/10+3/10 = 5/10 = 1/2 as well.