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vagabundo [1.1K]

3 years ago

15

Someone please help me!!

1 answer:

Dmitriy789 [7]3 years ago

8 0

A) 71/435 = 8.2 % 17/100 = 17% So the first statement is true. Higher percent of women in senate.
b) Just take the inverse of those numbers to find the percentage so you can find that the house is mostly men thus they are more likely being men.
c) 17% of the members in the senate are women.
d) Higher percentage of women in the house compared to the senate. This is incorrect but it could look true due to there being more women in the house but the percentage is lower.

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Answer:

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b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

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