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ANTONII [103]
2 years ago
15

Which of the following best explains how this relationship and the value of sin theta can be used to find the other trigonometri

c values?

Mathematics
1 answer:
Lena [83]2 years ago
8 0

Answer:

OPtion I is right

Step-by-step explanation:

Once we know sin of an angle, and it lies in II quadrant, we know that

cos, sec, tan and cot would be negative but csc will be positive.

So use the fact that

sin^{2}t+cos^{2} t=1\\cost =-\sqrt{1-sin^2 t}

Thus cos is obtained using negative square root.

Now tan = sin/cos, and sec = 1/cos:

cot =1/tan and csc =1/sin

Thus all value can be obtained easily

So option I

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Find the volume of a right circular cone that has a height of 12.5 cm and a base with a circumference of 5.8 cm. Round your answ
BaLLatris [955]

Answer:

V = 11.2 cm^3

Step-by-step explanation:

Given

Shape: Right Circular cone

Height, h = 12.5 cm

Base circumference, C = 5.8cm

Required:

Calculate Volume

The volume of a cone is calculated as thus;

Volume, V = \frac{1}{3}\pi r^2h

Where V, r and h represent the volume, the radius and the height of the cone respectively

But first we need to calculate the radius of the cone.

Using formula of circumference.

C = 2\pi r

We have C to be 5.8cm

By substituting this value;

5.8 = 2\pi r

Divide through by 2\pi

\frac{5.8}{2\pi} = \frac{2\pi r}{2\pi}

r = \frac{5.8}{2\pi}

r = \frac{2.9}{\pi}

Now, we can calculate the volume of the cone

By substituting r = \frac{2.9}{\pi} and h = 12.5 cm;

V = \frac{1}{3}\pi r^2h becomes

V = \frac{1}{3}\pi * (\frac{2.9}{\pi})^2 * 12.5

V = \frac{1}{3}\pi * \frac{8.41}{\pi^2} * 12.5

V = \frac{1}{3} * \frac{8.41}{\pi} * 12.5

Take \pi as 3.14

V = \frac{1}{3} * \frac{8.41}{3.14} * 12.5

V = 11.15976

V = 11.2 cm^3 ---- Approximated

Hence, the volume of the cone is; V = 11.2 cm^3

4 0
2 years ago
Select the two figures that are similar to the 9 by 6 figure that’s is shown.
Eduardwww [97]

Answer:

The correct option is 3. The green figure is similar to the 9 by 6 figure.

Step-by-step explanation:

Let a small square represents 1 unit.

From the given figure it is noticed that

1. The dimensions of red figure is 4 by 3.

2.The dimensions of brown figure is 4 by 6.

3.The dimensions of green figure is 2 by 3.

3.The dimensions of purple figure is 3 by 6.

The dimensions of given figure is 9 by 6. The proportion of its dimensions is

\frac{9}{6}=\frac{3}{2}

The corresponding sides of two similar figure are proportional. It means the ration of sides must be \frac{3}{2}.

The dimensions of green figure is 2 by 3. It means the proportion of its dimensions is \frac{3}{2}.

Therefore the correct option is 3. The green figure is similar to the 9 by 6 figure.

3 0
2 years ago
Read 2 more answers
NO JOKE 70 POINTS!!!!!!!! I WILL GIVE BRANLIEST AND RATE!!!! MATH EXPERTS COME HELP!!! AT LEAST TAKE A LOOK!!! LIKE WHERE ARE TH
Rufina [12.5K]

Answer:

The quadratic equation is f(x)=20x^{2} -400x +3000.

1. This number represents the amount of money it was sold for.

2. Vertex =(10,1000)

Step-by-step explanation:

This point represents the amount of money the computer was worth at its lowest point.

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2 years ago
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In a small community, a survey on the favorite television programs of 63 housewives was made. Based on the survey, 38 housewives
scoundrel [369]

Answer:

x = 4

Step-by-step explanation:

3 0
2 years ago
Which is a zero of the quadratic function f(x) = 16x2 32x − 9?
tankabanditka [31]
A zero of a function is the value of x for which f(x) = 0
f(x) = 16x^2 + 32x - 9 = 0
16x^2 - 4x + 36x - 9 = 0
(16x^2 - 4x) + (36x - 9) = 0
4x(4x - 1) + 9(4x - 1) = 0
(4x + 9)(4x - 1) = 0
4x + 9 = 0 and 4x - 1 = 0
4x = -9 and 4x = 1
x = -9/4 and x = 1/4
8 0
2 years ago
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