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2 years ago

Shane purchased a television at a 20% discount. If the sale price is $375.00, what is the original price ?

Mathematics

1 answer:

Sveta_85 [38]2 years ago

8 0

the answer is going to be 450. all you have to do is add 375+20%

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A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. Which expression represe

mash [69]

Recall that the volume of a regular prism is given by the area of the base times the height.

Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.

Recall that the are of a triangle is given by 1/2 base times height.

Thus the area of of the pentagon base of the prism is given by
$Area= \frac{5}{2} x\times2.8=7x$

Therefore, the volume of the prism is given by
$Volume=7x(2x+1)=14x^2+7x$

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3 years ago

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The general manager of a fast food restaurant chain must select 6 restaurants from 11 for a promotional program. How many differ

Arisa [49]

Answer:

Step-by-step explanation:

This question will be solved using the combination formula which is nCr because the order is unimportant and we need the selection.

11C6

11!/(11-6)!*6!

= 462

Therefore the manager can select the restaurant in 462 ways.

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3 years ago

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How we can differentiate between direct proportion and inverse proportion?

Yakvenalex [24]

Answer:

Please check explanations for answer

Step-by-step explanation:

Here, we want to differentiate between inverse and direct proportion

Let x and y be two quantities

If they are directly proportional;

x/y = k

x = ky

where k is proportionality constant

If inversely;

xy = k

In verbal terms;

For direct proportionality, when one value increase, the other too does so and vice versa

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3 years ago

If sin theta = -5/7 , which of the following are possible?

Sav [38]

Solution:

we are given that

$sin \theta=-5/7$

As we know that

$cos \theta =\sqrt{1-sin^2 \theta} \\$

Substitute the value we get

$cos \theta=\sqrt{1-(\frac{-5}{7})^2} \\
\\
cos \theta=\sqrt{1-(\frac{25}{49})} \\
\\
cos \theta=\sqrt{(\frac{24}{49})} =\frac{\sqrt{24}}{7}\\$

Since $sec \theta=\frac{1}{cos \theta}\\$

So here $sec \theta=\frac{7}{\sqrt{24}}\\$

As we know that

$tan \theta=\frac{sin \theta}{cos \theta}\\
\\ \text{Substitute the values we get}\\
\\
tan \theta=\frac{-5/7}{\frac{\sqrt{24}}{7}}\\
\\
tan \theta=\frac{-5}{\sqrt{24}}\\$

Hence the correct option is C.

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3 years ago

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#2 is the question<br> convert that number to radians from degrees.

fiasKO [112]

8pi/20 *180/pi
Answer is 72

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3 years ago

Shane purchased a television at a 20% discount. If the sale price is $375.00, what is the original price ?​

Shane purchased a television at a 20% discount. If the sale price is $375.00, what is the original price ?