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Artyom0805 [142]
2 years ago
11

Which equation can be used to find the measurement of ∠C? To the nearest degree, what is the measurement of ∠A? A) 5sin∠C = 2; 2

4° B) 29 sin∠C = 2; 68° C) 5sin∠C = 29 ; 22° Eliminate D) 29 sin∠C = 2; 22°

Mathematics
2 answers:
finlep [7]2 years ago
8 0

Answer:

Option B

\sqrt{29}sin(C)=2  

A=68\°

Step-by-step explanation:

see the attached figure to better understand the problem

Part A) Which equation can be used to find the measurement of ∠C?

we know that

In the right triangle ABC

sin(C)=\frac{2}{\sqrt{29}}

therefore

\sqrt{29}sin(C)=2  

Part B) What is the measurement of ∠A?

In the right triangle ABC

tan(A)=\frac{5}{2}

A=arctan(\frac{5}{2})=68\°

egoroff_w [7]2 years ago
7 0
First guy is incorrect.Answer is actually B

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If a 4 x 16 rectangle has the same area as a square, what is the length of a side of the square?
Licemer1 [7]

Answer:

Option D. 8 units

Step-by-step explanation:

step 1

Find the area of rectangle

The area of rectangle is

A=(4)(16)=64\ units^2

step 2

Find the length side of the square with the same area of rectangle

The area of a square is

A=b^2

where

b is the length side of the square

we have

A=64\ units^2

substitute

64=b^2

take the square root both sides

b=8\ units

therefore

The length side of the square is 8 units

7 0
3 years ago
Find the x-coordinate where the graph of the function f(x) = e(–sinx) has a slope of 0
balandron [24]

y = e^{-sin(x)}

y' = -e^{-sin(x)}(cos(x))

0 = -e^{-sin(x)}(cos(x))

When is cos (x) = 0?  <em>at 90° (aka π/2)</em>

Answer: \frac{\pi}{2}

4 0
3 years ago
Read 2 more answers
Divide the number 480 in a ratio of 3:5
Schach [20]

If it is a ratio of 3:5 you are dividing 480 into 8 parts (3+5).


So divide 480 by 8: 480/8 = 60


Then the ratio is (3x60):(5x60) or 180:300


To check it is correct, add up the two parts to see that they come to 480:


180+300 = 480. All good.


Hope this helps


6 0
3 years ago
Read 2 more answers
Question 2 (1 point)
nikdorinn [45]

Answer: 24 hours - no; because depending on where you are on Earth, you have a  different amount of sunlight.

Step-by-step explanation:

The day-night cycle is a complete day or a complete rotation of the earth around its axis. This takes 24 hours which is why 24 hours is the length of a full day.

People around the world however, do not get the same amount of sunlight or darkness and this is because of where they are on Earth. Due to the way the planet is tilted on its axis, some areas see sunlight more than other in a period and others see more darkness.

6 0
2 years ago
How would you calculate the area and perimeter of 3yd 6yd 5yd 10yds
spayn [35]
Okay, start with the smaller square, you know the side length is 3 and that the width is 5, multiply this together:
3 * 5 = 15

That's the smaller left side of this shape, now the bigger side, divide the 10 yards at the bottom by 2 to properly represent the other side then multiply this by the 6 over there.
5 * 6 = 30

Conclusion for Area: After adding the results the answer should be 45.

The perimeter is solely adding all the sides together. You have a 10, two 5's, one 6, and two 3's. Add this together:

10 + 5 + 5 + 6 + 3 + 3 = 32

Conclusion for Perimeter: So the perimeter would be 32.

I hope this helps in someway, have a great rest of your day! ^ ^
| | Ghostgate | |
3 0
3 years ago
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