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3 years ago

Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only) (6 points)

Mathematics

1 answer:

wolverine [178]3 years ago

4 0

Answer:

35.68°

Step-by-step explanation:

In the picture attached, the triangle is shown.

From sine definition:

sin(y) = opposite/hypotenuse

The leg measuring 7 units is opposite to angle y, and the hypotenuse measures 12 units, therefore:

sin(y) = 7/12

y = arcsin(7/12)

y = 35.68°

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Evaluate the integral. pls help me see the steps. thank you

Alona [7]

Answer:

$-\frac{2}{15}(1-x)^\frac{3}{2}(3x+2)+C$

Step-by-step explanation:

Use the method of integration by parts. The method is based in the following rule of derivation of two functions f and g :

$(fg)' = f'g+fg'\implies fg'=(fg)'-f'g\implies \\\int fg' dx = fg -\int f'g dx$

Identify suitable f and g in the original expression. I use:

$f=x\,\,\,, \,\,\,g=\sqrt{1-x}\\f'=1\,\,\,,\,\,\,g'=-\frac{2}{3}(1-x)^\frac{3}{2}$

and write the integration by parts :

$\int x\sqrt{1-x} dx = -\frac{2}{3}x(1-x)^\frac{3}{2}+\frac{2}{3}\int (1-x)^\frac{3}{2}dx=\\ =-\frac{2}{3}x(1-x)^\frac{3}{2}-\frac{4}{15}(1-x)^\frac{5}{2}+C=\\=-\frac{2}{15}(1-x)^\frac{3}{2}(3x+2)+C$

with C an arbitrary integration constant.

8 0

2 years ago

A bingo card has 25 spaces but 1 free space, and if the card deck is 100 cards how do i know how many game cards i need for play

german

Answer:

Step-by-step explanation:

5 0

2 years ago

(2ax)^3 I NEED THE ANSWER ASAP

weeeeeb [17]

Answer:

Then answer will still be the same, unless you have a number for a and x to multiply it

Step-by-step explanation:

4 0

3 years ago

What is the percent of incerse between 10 and 24

lisabon 2012 [21]

To work out the percent increase, we can use the following equation:

24 / 10 = 2.4
2.4 x 100 = 240%

Hope I helped!

6 0

3 years ago

5000 containers are stacked 20 wide and 50 long on a ship. How many containers high are they? Pls answer and give explanation, t

shutvik [7]

Answer:

5 containers high

Step-by-step explanation:

Given that :

Given :

Width = 20 containers

Length = 50 containers

Total containers = 5000

Hence,

Total containers = width * length * height

5000 = 20 * 50 * height

5000 = 1000 * height

Height = 5000 / 1000

Height = 5 containers

3 0

3 years ago