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4 years ago

Please help me I really need help

Mathematics

1 answer:

Finger [1]4 years ago

7 0

Answer:

NS ≈ 79.3 m
∠PNS ≈ 30.3°

Step-by-step explanation:

The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.

PN² = 33² +60² = 4689

PN = √4689 ≈ 68.476 . . . meters

Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.

NS² = PN² +PS² = 4689 +1600 = 6289

NS = √6289

NS ≈ 79.3 . . . meters

We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:

tan(PNS) = NS/PN = 40/68.476

∠PNS = arctan(40/68.476)

∠PNS ≈ 30.3°

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Answer:

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The expression that represents the amount that was not paid off is $\text { Debt amount that was not paid off }=\text { original amount of debt }- \frac{1}{3}\text { of original amount of debt }$

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$\text { Debt amount that is not paid off }=\text { original amount of debt }-\frac{1}{3}\text { of original amount of debt }$

$\begin{array}{l}{=\text { original amount of debt }\left(1-\frac{1}{3}\right)} \\\\ {=\text { original amount of debt } \times \frac{3-1}{3}} \\\\ {=4,920,000,000,000 \times \frac{2}{3}} \\\\ {=1,640,000,000,000 \times 2=3,280,000,000,000}\end{array}$

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3 years ago

Please help me I really need help ​

Please help me I really need help