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3 years ago

Tell whether the statement is true or false. If A is 45% of B, then the ratio A:B is 9:20.

Mathematics

1 answer:

Damm [24]3 years ago

6 0

Answer:

True

Step-by-step explanation:

A ratio is a numerical comparison broken down to its most simplest form. Theoretically, a ratio can be the same as a percentage.

45% is the same as 45/100. It can be simplified by dividing 5 from it to get 9/20...

which is the same as the 9:20 ratio.

Hope this helps!

Hope this

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Find the quotient 9/10 / 5/8 Simplify your answer

Sergeeva-Olga [200]

9/10 / 5/8
=9/10 x 8/5
=36/25
= 1 11/25 (1 and 11/25)

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3 years ago

Read 2 more answers

Solve for x and round to the nearest tenth for both (please:) )

Dmitrij [34]

Answer:

see explanation

Step-by-step explanation:

using the sine ratio in the right triangle.

sin23° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{7}$ ( multiply both sides by 7 )

7 × sin23° = x , then

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using the tangent ratio in the right triangle

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2 years ago

Find the slope and reduce p=(-8,3) q=(-6,2) slope of pq=-?/?

nirvana33 [79]

Answer is -1/2
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4 0

4 years ago

An attacker at the base of a castle wall 4 m high throws a rock straight up with speed 7.5 m/s from a height of 1.5 m

Sergeu [11.5K]

Answer:

a) Yes, b) $v\approx 2.686\,\frac{m}{s}$ , c) $v_{o} \approx 7.002\,\frac{m}{s}$

Step-by-step explanation:

a) The maximum height reached by the rock is:

$\Delta y = \frac{\left(0\,\frac{m}{s} \right)^{2}-\left(7.5\,\frac{m}{s} \right)^{2}}{2\cdot \left(-9.807\,\frac{m}{s^{2}} \right)}$

$\Delta y = 2.868\,m$

$y = 1.5\,m + 2.868\,m$

$y = 4.368\,m$

Yes, the rock will exceed the top of the wall.

b) The speed when the rock reaches the top of the wall:

$v = \sqrt{\left(7.5\,\frac{m}{s} \right)^{2}+2\cdot \left(-9.807\,\frac{m}{s^{2}} \right)\cdot (4\,m-1.5\,m)}$

$v\approx 2.686\,\frac{m}{s}$

c) The initial speed required so that stone does not exceed the top of the wall is:

$v_{o} = \sqrt{\left(0\,\frac{m}{s} \right)^{2}-2\cdot \left(-9.807\,\frac{m}{s^{2}} \right)\cdot (4\,m-1.5\,m) }$

$v_{o} \approx 7.002\,\frac{m}{s}$

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4 years ago

There are 4 seats available at a table in the lunch room of an elementary school, and 12 students are looking for seats. In how

Flauer [41]

Answer:

495

Step-by-step explanation:

12 Choose 4 = (12!) / 4! 8! = (12 · 11 · 10 · 9) / (4 · 3 · 2) = 495

4 0

3 years ago