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Tomtit [17]
3 years ago
10

If y varies inversely as x and x = 9 when y = 45 , find x when y = 9 .

Mathematics
1 answer:
Harman [31]3 years ago
6 0
I believe it's 1.8, but correct me if I'm wrong.
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How long will it take a bus to travel 825 miles at a rate of 55 mph
liubo4ka [24]

Answer:

8,.5 hours

Step-by-step explanation:

.

3 0
3 years ago
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The FDA recommends that women who are pregnant avoid eating more than three 6.00 oz servings of bluefish per month because of th
kirza4 [7]

Answer:

5,562 x 10^{-6}

Step-by-step explanation:

  • Firts, we need to find the maximum recommended amount of bluefish per month. Since the FDA recommends <em>3 servings of 6.00 oz each</em>, the maximum amount would be:

the maximum amount of bluefish per month = 3 * 6.00 oz = 18.00 oz

  • Since bluefish contains <em>0.309 ppm of mercury per 1x10^{6} oz of fis</em>h, then:

0.309 oz mercury --------> 1x10^{6} oz of fish

How many  (y)      --------> 18.00 oz of fish

y = \frac{18.00 oz of fish * 0.309 oz of mercury}{1 x 10^{6} oz of fish }  = 0.000005562 = 5.562 x 10^{-6} oz mercury

5 0
3 years ago
If A={4,5,6,7} and b={a,e,i,o,u} then find n (A)+n(B) ​
kompoz [17]

Answer:

9

Step-by-step explanation:

n(A)+n(B) [n(A)=cardinal numbers of set A.so we have to count the elements and write .

=4+5

=9

6 0
3 years ago
Paul bags of raisin bars in a pan shaped like a rectangle or prism the volume of the pan is 252 in.³ the length of the pants 12
e-lub [12.9K]

Answer:

The height of the pan is 2 inches.

Step-by-step explanation:

Given : Paul bags of raisin bars in a pan shaped like a rectangle or prism the volume of the pan is 252 in.³ the length of the pants 12 inches and it's with is 10\frac{1}{2} inches.

To find : What is the height of the pan ?

Solution :

The volume of a rectangle or prism is

V=l\times w\times h

Where, l=12 inches is the length

w=10\frac{1}{2} inches is the width

V=252 in.³ is the volume

h is the height

Substitute the value,

252=12\times 10\frac{1}{2}\times h

252=12\times \frac{21}{2}\times h

h=\frac{252\times 2}{12\times 21}

h=2

Therefore, the height of the pan is 2 inches.

7 0
3 years ago
You're standing on the ground 7777 meters away from the bottom of a tall tower. The tower itself is 346346 meters tall. What is
lys-0071 [83]

Answer:

88.7°

Step-by-step explanation:

First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:

∠A = ?

∠B = ?

∠C =  90

a = 346346

b = 7777

c = ?

Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)

c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:

a² + b² = c²

Rearranged:

c = ± \sqrt{a^{2} +b^{2} }

Substitute a and b:

c = ±\sqrt{346346^{2} +7777^{2} }

Comes out to ~346433.3 meters.

Now if we use the Law of Sines:

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

We can use c and a, since we're trying to find what angle A is, so the ratio is set up as:

\frac{346346}{sinA} = \frac{346433.3}{sinC}

Well we know that C = 90, and so sin(90) in degrees (as opposed to radians) is 1. So then the set of equations is now:

\frac{346346}{sinA} = \frac{346433.3}{1}

Cross Multiply to get rid of the fractions:

346346 = 346433.3 * sin(A)

Divide:

\frac{346346}{346433.3} = sin(A)

Using a calculator, if you take the arcsin of that fraction, you will get what angle A is supposed to be:

arcsin( \frac{346346}{346433.3} ) = ∠A = 88.7°

5 0
3 years ago
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