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3 years ago

6

If you reduce the size of a triangle to a height 2 inches. If the original rectangle was 2 feet wide and 12 inches tall. What is

the width of the reduced rectangle?

1 answer:

stealth61 [152]3 years ago

4 0

4 inches wide is the answer

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How to find 60% of 38

finlep [7]

Alright. So we know 60% is .6

And as a fraction it is 3/5. This means 38 x .6 would equal 22.8.

Hope this helps.

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3 years ago

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In the diagram below, ST is parallel to PQ. If ST is 4 more than PS,SR = 12, and PQ = 15, find the length of PS. Figures are not

Tpy6a [65]

Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,

$\frac{SR}{PR}=\frac{RT}{RQ}=\frac{TS}{QP}$

Furthermore,

$PS=PR-RS$

Finding PR and RS,

$\begin{gathered} ST=4+PS \\ SR=12 \\ PQ=15 \end{gathered}$

Then,

$\frac{12}{PR}=\frac{TS}{15}$ $\begin{gathered} \Rightarrow\frac{12}{PR}=\frac{4+PS}{15} \\ \Rightarrow\frac{12}{PS+12}=\frac{4+PS}{15} \end{gathered}$

Solving for PS,

$\begin{gathered} 12\cdot15=(PS+12)(PS+4) \\ \Rightarrow180=PS^2+16PS+48 \end{gathered}$

Solve the quadratic equation in terms of PS, as shown below

$\begin{gathered} \Rightarrow PS^2+16PS-132=0 \\ \Rightarrow PS=\frac{-16\pm\sqrt[]{16^2-4(-132)}}{2}=\frac{-16\pm28}{2} \\ \Rightarrow PS=-22,6 \end{gathered}$

And PS is a segment; therefore, it has to be positive.

Hence, the answer is PS=6

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1 year ago

Find the area of a circle with radius 2cm, leave your answer in terms of pi

vaieri [72.5K]

Answer:

$Area = 4 \pi \ cm^2$

Step-by-step explanation:

$Area = \pi r^2 = \pi \times 2^2 = 4 \pi \ cm^2$

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2 years ago

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The variable used to predict changes in the values of another value is called the response variable.

Sholpan [36]

I think the statement given above is false. The variable used to predict changes in the values of another value is not called the response variable. The variable used to predict another variable is called the independent, <span>predictor or </span><span>explanatory variable. Hope this answers the question.</span>

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3 years ago

50 POINTS! The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?

Oxana [17]

<em><u>The common difference d is </u></em>

(41–11) / (10–5) = 6.

<em><u>The first term is</u></em>

11 - 6(5–1) = -13.

<em>so , the first term is -13 </em>

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3 years ago

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