Find the area of the trapezoid. Answer without units.

Mathematics

1 answer:

Leto [7]3 years ago

5 0

Answer:

180

Step-by-step explanation:

Since the type of trapezoid is not listed, I cannot really explain, sorry :/

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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

svet-max [94.6K]

Answer:

tan (C) = 2.05

Step-by-step explanation:

Given:

A right angled triangle CDE right angled at ∠D.

Side CD = 39

Side DE = 80

Side CE = 89

We know, from trigonometric ratios that, the tangent of any angle is equal to the ratio of the opposite side to the angle and the adjacent side of the angle.

Therefore, tangent of angle C is given as:

$\tan(\angle C)=\frac{DE}{CD}$

Plug in the given values and solve for angle C.This gives,

$\tan(\angle C)=\frac{80}{39}\\\\\tan(\angle C)=2.051\approx 2.05(Rounded\ to\ nearest\ hundredth)$

Therefore, the measure of tangent of angle C is 2.05.

4 0

3 years ago

Two cities have nearly the same north-south line of 117 degrees Upper W. The latitude of the first city is 29 degrees Upper N c

Mariulka [41]

Answer:

1117 km

Step-by-step explanation:

Because the two cities are approximately on the same North-South line, they are on the same longitude. The difference in their latitudes is 39° - 29° = 10°. We are subtracting because they are both in the northern hemisphere. The distance between them is

$\dfrac{10}{360}\times2\pi\times6400 \text{ km} = 1117 \text{ km}$

4 0

3 years ago

I need help with this so could you give me the answers with an explanation if you can.

Katarina [22]

Answer:

$2.44745763 \times {10}^{6}$

Step-by-step explanation:

$R = \frac{ {x}^{2} }{y} \\ \\ = \frac{ {(3.8 \times {10}^{5}) }^{2} }{5.9 \times {10}^{4} } \\ \\ = \frac{14.44 \times {10}^{10} }{5.9 \times {10}^{4} } \\ \\ = 2.44745763 \times {10}^{10 - 4} \\ = 2.44745763 \times {10}^{6}$