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Sindrei [870]
3 years ago
15

Solve for x! please help giving BRAINLIEST.

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer:

its 45

Step-by-step explanation:

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Solve for all theta radians. sin(3 theta)=0
Tema [17]
Sin 3θ = 0
3θ = sin^-1 0 = nπ
θ = nπ/3
4 0
3 years ago
If ABC and EDC are similar, what is the value<br> of x?<br> A
abruzzese [7]

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

BC/DC = EC/AC , substitute values

3x×5/32 - 5x-5/56 ( cross- multiply )

56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides

168x - 280 = 160x - 160 ( subtract 160x from both sides )

8x - 280 = - 160 ( add 280 to both sides )

8x = 120 ( divide both sides by 8 )

x = 15

3 0
3 years ago
A circular swimming pool has a diameter of 40 meters. The depth of the pool is constant along west-east lines and increases line
Nataliya [291]

Answer:

Volume is 2000\pi\ m^{3}

Solution:

As per the question:

Diameter, d = 40 m

Radius, r = 20 m

Now,

From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:

iff

h(y) = cy + d

Then

when y = 1 m

h(- 20) = 1 m

1 = c.(- 20) + d = - 20c + d              (1)

when y = 9 m

h(20) = 9 m

9 = c.20 + d = 20c + d                  (2)

Adding eqn (1) and (2)

d = 5 m

Using d = 5 in eqn (2), we get:

c = \frac{1}{5}

Therefore,

h(y) = \frac{1}{5}y + 5

Now, the Volume of the pool is given by:

V = \int h(y)dA

where

A = r\theta

A = rdr\ d\theta

Thus

V = \int (\frac{1}{5}y + 5)dA

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}rsin\theta + 5) rdr\ d\theta

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}r^{2}sin\theta + 5r}) dr\ d\theta

V = \int_{0}^{2\pi} (\frac{1}{15}20^{3}sin\theta + 1000) d\theta

V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}

V = 0 + 2\pi \times 1000 = 2000\pi\ m^{3}

7 0
3 years ago
A farmer makes a pen for his animals with a total perimeter of 46 feet. (see diagram)
ratelena [41]
Yes I love this problem so good
5 0
3 years ago
The hockey team won 8 out of their first 14 games. At the same rate, how many games should they except to win out of 84
babunello [35]
The answer is 48.

8/14=x/84

Cross mutiply, to get:

14x=672

Divide each side by 14

You get 48.

Hope this help!!! :)

3 0
3 years ago
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