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xeze [42]
3 years ago
10

In the diagram of

Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0
Basically, you could set these proportions up in two ways. You could set it up as 5/35=10/x, or you could set it up as 5/10=35/x. Either way, you will get the same answer. After setting one of them up, cross multiply. You should come out with 5x=350. Divide 350/5. Here you should get the answer of 70. 70 should be the length of LN
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True or false
valina [46]
False because a number is rational if we can write it as a fraction where the top number of and bottom number are both whole numbers but irrational numbers is any number that is not rational. It is a number that cannot be written as a ratio of two integers(or cannot be expressed as a fraction)
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
4<br> Select the correct answer.<br> Which of these mappings is a function?
melomori [17]

Answer:

? i need a better explanation for ur questoin

Step-by-step explanation:

3 0
3 years ago
Find a counterexample for the statement. <br> If p is prime, then p2 + 4 is prime.
uysha [10]
P=2 then 2^2+4=8
P=11 then 11^2+4=125
7 0
3 years ago
Find the value of b in the graph of y=3x+b if it is known that the graph goes through the point: N(0,5)
tino4ka555 [31]

Answer:

I believe b is 5.

Step-by-step explanation:

When you place the points in the values, you get 5=3(0)+b. When you simplify it, you get 5=b. I really hope this is correct, I apologize if it isn't! I hope this helps! :)

4 0
4 years ago
Read 2 more answers
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