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Levart [38]
1 year ago
5

Mason used a 30% coupon to buy a new computer. After the discount, the cost of the computer was $728.

Mathematics
1 answer:
shtirl [24]1 year ago
5 0

Answer:

The original price of computer is $ 1040

Solution:

Given that, Mason used a 30% coupon to buy a new computer

After the discount, the cost of the computer was $728

To find: original price of computer

From given question,

price after discount = $ 728

discount = 30 % of original price

Let "x" be the original price of computer

price after discount = original price - discount price

Step-by-step explanation:

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Answer:

your answer is a and d

Step-by-step explanation:

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2 years ago
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Given right triangle XYZ, what is the value of tan(60°)?
Svetlanka [38]

we know that

Step 1

in the right triangle XYZ

Applying the Pythagorean Theorem

Find the value of ZY

XY^{2}=XZ^{2} +ZY^{2} \\   ZY^{2}=XY^{2}-XZ^{2}\\ ZY^{2}=42^{2}-21^{2}\\ ZY^{2}=1,323\\ ZY=\sqrt{1,323}\ units

ZY=21\sqrt{3}\ units

Step 2

in the right triangle XYZ

Find tan60°

we know that

tan\ 60=\frac{opposite\ side\ angle\ 60}{adjacent\ side\ angle\ 60}

in this problem

opposite side angle 60 is ZY

adjacent side angle 60 is XZ

so

tan\ 60=\frac{ZY}{XZ} \\ \\ tan\ 60=\frac{21\sqrt{3}}{21}  \\ \\  tan\ 60=\sqrt{3}

therefore

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\sqrt{3}


3 0
1 year ago
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A rectangular pool 18 meters by 12 meters is surrounded by a walkway of width x
vesna_86 [32]

Answer:

x=3 meters

Step-by-step explanation:

step 1

Find the area of the rectangular pool

A=LW

we have

L=18\ m\\W=12\ m

substitute

A=18(12)=216\ m^2

step 2

Find the area of rectangular pool including the area of the walkway

Let

x ----> the width of the walkway

we have

L=(18+2x)\ m\\W=(12+2x)\ m

substitute

A=(18+2x)(12+2x)

step 3

Find the area of the walkway

To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway

so

A=(18+2x)(12+2x)-216

step 4

Find the value of x if the area of the walkway equal the area of the pool

so

(18+2x)(12+2x)-216=216

Solve for x

(18+2x)(12+2x)=432\\216+36x+24x+4x^{2}=432\\4x^{2} +60x-216=0

Solve the quadratic equation by graphing

The solution is x=3 meters

see the attached figure

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2 years ago
Eight times the reciprocal of a number equals 2 times the reciprocal of 9. Find the number
vfiekz [6]

Answer:

8 * 1/x = 1/9 *2

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1 year ago
Solve the equation -x + 8 + 3x = x - 6
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2X+8=x-6
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