Answer:
14/25
Step-by-step explanation:
All percentages can be represented by PERCENTAGE/100
So 56% is 56/100
Then simplify by dividing by 2
28/50 Then simplify again by 2
14/25
There are 16 fruits in each of the boxes found under the stairs.
<h3>What is an
equation?</h3>
An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of pears, hence:
Number of fruit in first box = 12 + (1/9)x
Number of fruit in second box = number of fruit in third box = (8/9)x ÷ 2 = (4/9)x
Therefore:
12 + (1/9)x = (4/9)x
x = 36
First box = second box = third box = (4/9) * 36 = 16
There are 16 fruits in each of the boxes found under the stairs.
Find out more on equation at: brainly.com/question/2972832
The volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches
<h3>How to calculate the volume of a cylinder?</h3>
The formula for calculating the volume of cylinder is expressed as:
V = πr²h
where
r is the radius
h isthe height
Given the following parameters
h = 15in
r = 6in
substitute
V = 6^2 * 15π
V = 540 π cubic inches
Hence the volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches
Learn more on volume of a cylinder here: brainly.com/question/9554871
it equals <span>(−<span>12</span>)</span> because <span><span>cos<span>(<span>60∘</span>)</span></span>=<span>12</span></span>
Explanation:
The reference angle for <span>240∘</span> is <span>60∘</span> (since <span><span>240∘</span>=<span>180∘</span>+<span>60∘</span></span>)
<span>60∘</span> is an angle of one of the standard triangles with
<span><span>cos<span>(<span>60∘</span>)</span></span>=<span>12</span></span>
<span>240∘</span> is in the 3rd quadrant so (either by CAST or noting that the "x-side" of the associate triangle is negative)
<span><span>cos<span>(<span>240∘</span>)</span></span>=−<span>cos<span>(<span>60∘</span>)</span></span></span>
<span><span>cos<span>(<span>240∘</span>)</span></span>=−<span><span>12</span></span></span>