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2 years ago

Find the exact value of sin (arccos (3/5)). For full credit, explain your reasoning.

1 answer:

6 0

The equation for cosine is cos(x)=Adjacent/Hypotenuse
The inside trig function is arccos(3/5), which means cos(x)=3/5. Comparing cos(x)=Adjacent/Hypotenuse with cos(x)=3/5

Find Adjacent=3 and Hypotenuse=5.
Then, using the Pythagorean theorem, find Opposite=?
a² = c² - b²
a² = 5² - 3² = 25 - 9 = 16
a = √16 = 4

Adjacent=3Opposite=4Hypotenuse=5

Plug in the value for sin(x) = opposite/hypotenuse

sin(x) = 4/5

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frosja888 [35]

Answer:

1:144

Step-by-step explanation:

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3 years ago

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There is an ice cream and candy shop next door that is the same size as your bakery. How many thirtieths of the space does it ta

SSSSS [86.1K]

Answer:

135,000 times

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.

We need to know the size of your bakery store.

As we can see, the entire shopping center is: 45000 square feet and your shop is 1/10 of that space

=> Your shop area is: 45000*1/10 = 4500 square feet

In the question, they want to know how many thirtieths of the space does it take up, so let say thirtieths in numerical is: 1/30

Hence, the number of thirtieths it takes:

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2 years ago

3,857 rounded to the nearest thousand

alekssr [168]

3,857:

1. 3 is located in the thousands place

2. Since 8 is bigger than 3, it's telling it to go up a number (turning 3 into a 4)

Stays the Same: 1,2,3,4
Goes Up: 5,6,7,8, etc.

So 3,857 is now rounded into 4,000

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2 years ago

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What is the volume of a cylinder with a base radius of 2 and height of 6 ?

vodomira [7]

Answer:

V = 24pi

or 75.36 ( using 3.14 for pi)

or 75.39822369 ( using the pi button)

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius and the height

V = pi (2)^2 * 6

V = pi 4*6

V = 24 pi

If we approximate pi by 3.14

V = 3.14 * 24 = 75.36

If we use the pi button

V =75.39822369

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rodikova [14]

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2 years ago