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3 years ago

What is the image of (-1, 1) after a dilation of 2? (1, 3) (-2, 2) (2, 2)

1 answer:

4 0

A dilation is a multiple of the x and y values so we have to multiply -1 and 1 by 2 so the dilation moves the point (-1,1) to (-2,2)

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Which of the following are considered skew lines?

Gennadij [26K]

The answer is AE and GH

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3 years ago

The side length of a smaller square is one-fourth the side length of a larger square. Which of the following statements describe

evablogger [386]

Answer: B

Step-by-step explanation:

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2 years ago

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a counselor at sleepy hollow camp has 225 yards of lanyard to give to 100 campers to make landyard key chains. Each camper will

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Each camper will get a lanyard 2.5 yards long

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What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi

Sphinxa [80]

Answer:

$15,000\:\mathrm{mm^3}$

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by $V=s^2\cdot h$ , where $s$ is the base length and $h$ is the height. Substituting given values, we have: $V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}$

The volume of a trapezoidal prism is given by $V=\frac{b_1+b_2}{2}\cdot l\cdot h$ , where $b_1$ and $b_2$ are bases of the trapezoid, $l$ is the length of the height of the trapezoid and $h$ is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases ( $\frac{b_1+b_2}{2}$ ) multiplied by the trapezoid's height ( $l$ ).

Substituting given values, we get:

$V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}$

Therefore, the total volume of the composite figure is $5,880+9,120=\boxed{15,000\:\mathrm{mm^3}}$ (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

$V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark$

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2 years ago

8^x=2^6 What is the value of x?

Anon25 [30]

The answer to your question is 2.

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3 years ago