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3 years ago

What is the area of the trapezoid shown? (1) angle a = 120 degrees (2) the perimeter of trapezoid abcd = 36?

Mathematics

1 answer:

Maurinko [17]3 years ago

4 0

Not enough information to solve this

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10 points!!! please help :(

daser333 [38]

To complete the identity, we need these fundamental identities:

$1)\displaystyle{sec(x)=\frac{1}{cos(x)}$

$2) cos(x-y)=cos(x)cos(y)+sin(x)sin(y)$

$\displaystyle{csc(x)= \frac{1}{sin(x)}$

Thus, by identity 1 we have:

$\displaystyle{ sec( \frac{ \pi }{2}-\theta )= \frac{1}{cos(\frac{ \pi }{2}-\theta)}$

by identity :

$\displaystyle{cos(\frac{ \pi }{2}-\theta)=cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)$

recall the values :

$\displaystyle{ sin(\frac{ \pi }{2})^R=sin(90^o)=1\\\\$

$\displaystyle{ cos(\frac{ \pi }{2})^R=cos(90^o)=0$ ,

so:

$cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)=0+sin(\theta)=sin(\theta)$

Putting all these together, we have:

$\displaystyle{ sec( \frac{ \pi }{2}-\theta )= \frac{1}{cos(\frac{ \pi }{2}-\theta)}= \frac{1}{cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)}= \frac{1}{sin(\theta)}}$

which is equal to $csc(\theta)$ , by identity 3

Answer: D

7 0

3 years ago

Ellie uses 12.5 pounds of potatoes bto make mashed potatoes. She uses one tenths as many pounds of butter as potatoes how many p

In-s [12.5K]

Answer:

1.25 Pounds were used for butter.

Step-by-step explanation:

6 0

3 years ago

Maria and Liam work in a banquet hall. Maria earns a 20% commission on her food sales. Liam earns a weekly salary of $625 plus a

Ksju [112]

Let us say that S is the total food sales therefore we can create the following equation:

0.20 S = 625 + 0.10 S

Solving for S:

0.10 S = 625

S = 6250

<span>Therefore the food sales should amount to $6,250</span>

4 0

3 years ago

Which equation models this problem? Carol paid $271 to rent a car for 4 days.What was the rate,r, per day to rent the car? A: 27

nirvana33 [79]

Answer:

the answer is c because if you divide 4 by 271 you would get the daily cost of the cars rent

Step-by-step explanation:

4 0

3 years ago

Paisley has $53 in her piggy bank. Recently she has been saving and that amount has

elixir [45]

The answer would be 129.85

53 x 1.45 = 76.85
76.85 + 53 = 129.85 dollars

3 0

3 years ago