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Brut [27]
2 years ago
8

Given the values of x and y find the exact (fraction) values of all six trig ratios

Mathematics
1 answer:
Anna35 [415]2 years ago
4 0

Answer:

Step-by-step explanation:

Distance of (-3,4) to origin = √((-3)^2+4^2) = 5

sinθ = 4/5

cosθ = -3/5

tanθ = 4/(-3) = -4/3

cscθ = 1/sinθ = 5/4

secθ = 1/cosθ = -5/3

cotθ = 1/tanθ = -3/4

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What does this mean
liraira [26]

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Step-by-step explanation:

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3 years ago
The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal
Fynjy0 [20]

Answer:

The volume of a single tennis ball is 14.14\ in^{3}

The volume of three tennis balls is 42.42\ in^{3}

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

V=\frac{4}{3}\pi r^{3}

where r is the radius of the sphere

In this problem

r=3/2=1.5\ in

substitute

V=\frac{4}{3}\pi (1.5)^{3}

V=14.14\ in^{3}

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

V=\pi r^{2} h

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

r=3/2=1.5\ in

h=8.4\ in

substitute

V=\pi (1.5)^{2}(8.4)

V=59.38\ in^{3}

Statement

<u>case A)</u> The volume of a single tennis ball is 14.14\ in^{3}

The statement is true

See the procedure in Step 1

<u>case B)</u> The volume of the can is 56.55\ in^{3}

The statement is false

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<u>case C)</u> The empty space inside the can is 14.13\ in^{3}

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}

<u>case D)</u> The volume of three tennis balls is 42.42\ in^{3}

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

14.14*3=42.42\ in^{3}

8 0
3 years ago
What is half of 18 !!!
skelet666 [1.2K]

Answer:

9

Step-by-step explanation:

5 0
3 years ago
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5               x

5 0
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