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3 years ago

13

(05.05 HC)The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. What is the area, in square unit

s, of this polygon?
27 units^2
33 units^2
36 units^2
51 units^2

2 answers:

Hitman42 [59]3 years ago

8 0

The points define a trapezoid of height 6 and midsegment length 6. The area is
6×6 = 36 units²

JulsSmile [24]3 years ago

5 0

Hello,

The correct answer is C) 36 units^2

Hope this helps!!!! (:

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A sprinter who weighs 706 N runs the first 5.5 m of a race in 1.6 s, starting from rest and accelerating uniformly. What are the

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Answer:

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Step-by-step explanation:

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2 years ago

Find the missing side lengths leave your answer as a racials simplest form

Aleksandr-060686 [28]

Answer:

m= $7\sqrt3$

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Step-by-step explanation:

Hi there!

We are given a right triangle (notice the 90°) angle, the measure of one of the acute angles as 60°, and the measure of the hypotenuse (the side OPPOSITE from the 90 degree angle) as 14

We need to find the lengths of m and n

Firstly, let's find the measure of the other acute angle

The acute angles in a right triangle are complementary, meaning they add up to 90 degrees

Let's make the measure of the unknown acute angle x

So x+60°=90°

Subtract 60 from both sides

x=30°

So the measure of the other acute angle is 30 degrees

This makes the right triangle a special kind of right triangle, a 30°-60°-90° triangle

In a 30°-60°-90° triangle, if the length of the hypotenuse is a, then the length of the leg (the side that makes up the right angle) opposite from the 30 degree angle is $\frac{a}{2}$ , and the leg opposite from the 60 degree angle is $\frac{a\sqrt3}{2}$

In this case, a=14, n= $\frac{a}{2}$ , and m= $\frac{a\sqrt3}{2}$

Now substitute the value of a into the formulas to find n and m to find the lengths of those sides

So that means that n= $\frac{14}{2}$ , which is equal to 7

And m= $\frac{14\sqrt3}{2}$ , which simplified, is equal to $7\sqrt3$

Hope this helps!

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3 years ago