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Art [367]
2 years ago
9

Find the surface area of the triangular prism shown below.

Mathematics
1 answer:
max2010maxim [7]2 years ago
3 0

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3.  lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

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Merry Soy, married, earns a weekly salary of $830 and claims one withholding allowance. By the percentage method, how much incom
xxMikexx [17]
You need to find the amount subject to withholding, subtracting from the weekly salary the amount for one withholding allowance for weekly salaries, which is 77.90$:

830 - 77.90 = 752.1 $.

Then, look in the Fed Tax tables (
http://www.opers.ok.gov/Websites/opers/images/pdfs/2016-Fed-Tax-Tables.pdf ) for a married person with a weekly payroll.

You previously found an amount of  752.1 which is greater than 521 but less than 1613$: therefore the income tax to withhold is 35.70$ + 15% of excess over $521.

Therefore, calculate the income tax due: 35.70 + (752.1 - 521) × 15 ÷ 100 = 70.37$

The total amount of income tax that will be withheld is 70.37$
4 0
3 years ago
Margo can purchase tile at a store for $0.89 per tile and rent a tile saw for $45. At another store she can borrow the tile saw
umka21 [38]

Answer:

She must buy 90 tiles for the cost to be the same at both stores

Step-by-step explanation:

Let x be the no. of tiles bought for the cost to be the same at both stores

Margo can purchase tile at a store for $0.89 per tile at shop 1

Cost of x tiles =0.89x

She rent a tile saw for $45.

So, total cost at Store 1 = 0.89x+45

At another store she can borrow the tile saw for free if she buys tiles there for $1.39 per tile.

So, cost of 1 tile = 1.39

Cost of x tiles = 1.39x

ATQ

0.89x+45=1.39x

45=1.39x-0.89x

45=0.5x

\frac{45}{0.5}=x

90=x

Hence She must buy 90 tiles for the cost to be the same at both stores

3 0
3 years ago
What is an arc measure
Wewaii [24]

An arc is a segment of a circle. An arc measure is the measure of a angle that the arc creates in the center of a circle while an arc lenght is the span of the arc. This measure can be given in degrees or radians. We can easily convert between the two using the fact that pi radians =180 degrees.

5 0
4 years ago
Find the area of the shaded region. Round your answer to the nearest hundreth. Big Ideas Math
denis-greek [22]

The area of the shaded region is the space occupied by the shaded region

The area of the shaded region is 5x^2+7x-26

<h3>How to determine the area of the shaded region</h3>

The dimension of the big rectangle is 3x - 4 by 2x + 2.

So, the area of the big rectangle is:

A_1 = (3x - 4)(2x + 2)

Multiply

A_1 =x^2 -9x + 18

The dimension of the small rectangle is x - 3 by x - 6

So, the area of the small rectangle is:

A_2 =(x - 3)(x - 6)

Multiply

A_2 = x^2 - 9x +18

The area of the shaded region is the difference between the above areas.

So, we have:

A = 6x^2 - x^2-2x+9x-18-8

Evaluate the like terms

A = 5x^2+7x-26

Hence, the area of the shaded region is 5x^2+7x-26

Read more about areas at:

brainly.com/question/12208883

4 0
3 years ago
What is the solution of these two lines?<br> y = 40 + 10x<br> y = 200 + 2x
sammy [17]
Are you trying to find x, or combining the two problems?
7 0
3 years ago
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