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2 years ago

A store sells pool floats.

Mathematics

1 answer:

Andrei [34K]2 years ago

6 0

Step-by-step explanation:

the original retail price was 120% of the manufacturer price (100% manufacturer price + 20% markup).

now, the whole retail price is reduced by 12%.

that means we have to subtract 12% from the 120%.

but careful, we cannot just do 120-12=108.

that is simply because these 120% are now for this calculation the new basic amount and therefore 100%.

we actually need to calculate and subtract 12% of 120 to get the new percentage over the manufacturer price.

we do this by multiplying 120 by (100-12)/100 = 88/100 = 0.88 :

120 × 0.88 = 105.6%

so, the new retail price is now only 5.6% over the manufacturer price.

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2 years ago

A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches. What is the volume of the p

Rudik [331]

Answer: $\frac{385}{4}\ in.^3$

Step-by-step explanation:

Given

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Height of prism $h=\frac{11}{2}\ in.$

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2 years ago

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juin [17]

1. To find this we are going to use the converse of the Pythagorean theorem: if the square of the longest side of a triangle is equal to the sum of the squares of its smaller side, the triangle is a right one.
We know from our picture that the longer side of the triangle is 36 and its shorter sides are 24 and 15.
$36^2=24^2+15^2$
$1296=576+225$
$1296 \neq 801$
The converse also says that if the square of the longest side is greater than the sum of the squares of the shorter sides, the triangle is obtuse, and if the square of the longest side less than the sum of the squares of the shorter sides, the triangle is acute.
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We can conclude that our triangle is an obtuse one; the correct answer is the third one: obtuse

2. Here we have a right triangle with longer side 80 feet and one of the shorter sides 65 feet. Lest $x$ be the distance from the base to the guy wire attached point.
Using the Pythagorean theorem:
$80^2=65^2+x^2$
$x^2=80^2-65^2$
$x= \sqrt{80^2-65^2}$
$x=46.64$

We can conclude that the correct answer is fourth choice: 46.64

3. Here we are going to use the Pythagorean theorem. We know that the longest side of our triangle is 40 and its shorter sides are 9 and $x$ . Using the Pythagorean theorem:
$40^2=9^2+x^2$
$x^2=40^2-9^2$
$x= \sqrt{40^2-9^2}$
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We can conclude that the correct answer is the fourth option: 38.97

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3 years ago