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Pani-rosa [81]
3 years ago
6

Which figure has the longer side and by how much , a square with an area of 81ft ^2 or a square with a perimeter of 84 ft

Mathematics
1 answer:
stellarik [79]3 years ago
4 0
The square that has a perimeter of 84 ft has the longer side.
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Find the taxable income of a married couple with two children, who have a combined income of $75,000.
Dima020 [189]

Answer:

$47,200

Step-by-step explanation:

Given :

The total income of a married couple =  $75,000.

Number of children = 2

Therefore to find the taxable income of  a U.S.  family is given by the following formula ---

taxable income = total income- exemption deduction - standard deduction

We know that exemption deduction for a U.S couple as fixed by the government is $15,600.

And the standard deduction for a U.S couple as fixed by the government is $12,200.

Thus in order to find the taxable income of the couple, use the formula

taxable income = total income- exemption deduction - standard deduction

                          = $75,000 - $15,600 - $12,200

                          = $47,200.

Thus the taxable income is $47,200.

8 0
4 years ago
The deck off the back of the house creates a right triangle. The side of the deck resting against the house is the hypotenuse of
goblinko [34]

Approximately 2 gallons will be needed if each gallon of stain and  the project will cost be $73.96 if  each gallon costs $36.98

<h3>How to find the area of a triangle</h3>

The formula for calculating the area of a triangle is expressed as:

A = 0.5bh

where

base = 15feet

height = 20feet

Area of the deck = 20 * 15 * 0.5

Area of the deck is  150 square feet

Number of gallons needed  = 350/150 = 2.3

Hence approximately 2 gallons will be needed if each gallon of stain covers a maximum of 350 square feet.

Cost of the two gallons  = 36.98 * 2

Cost of the two gallons  = $73.96

Hence the project will cost be $73.96 if  each gallon costs $36.98

Learn more on area of a triangle here: brainly.com/question/23945265

8 0
2 years ago
Name a transversal<br><br> Name all corresponding angles<br><br> Name all alternate exterior angles
fgiga [73]

Answer:

Name a transversal - i

Name all corresponding angles -

6 = 8

1 = 3

2 = 4

5 = 7

Name all alternate exterior angles -

1 = 5

4 = 8

7 0
3 years ago
Can someone check my answer? i got 600.
lubasha [3.4K]

Answer:

Volume = 120 cubic cm

Step-by-step explanation:

We would apply the formula for determining the volume of a square bases pyramid which is expressed as

Volume = 1/3 x base area x height

From the diagram,

length of square base = 6 cm

The base area = 6^2 = 36

height = 10

Thus,

Volume = 1/3 x 3/6 x 10

Volume = 120 cubic cm

I hope this help you! :)

7 0
3 years ago
H (x) =4x-2 complete the function table
Helen [10]

<em>Note: </em>

<em>You did not mention the table of the points. But, I would try to clear your concept by taking 6 sample points.</em>

Answer:

The table and the graph of the function h(x) = 4x-2 is also attached below.

Step-by-step explanation:

Given the function

h(x) = 4x-2

substituting x = 0 in the function

h(0) = 4(0) -2 = 0 -2 = -2

Therefore, the point (0, -2) satisfies on the function.

substituting y = 1 in the function

h(1) = 4(1) -2 = 4 -2 = 2

Therefore, the point (1, 2) satisfies on the function.

substituting y = 2 in the function

h(2) = 4(2) -2 = 8 -2 = 6

Therefore, the point (2, 6) satisfies on the function.

substituting y = 3 in the function

h(3) = 4(3) -2 = 12 -2 = 10

Therefore, the point (3, 10) satisfies on the function.

substituting y = 4 in the function

h(4) = 4(4) -2 = 16 -2 = 14

Therefore, the point (4, 14) satisfies on the function.

substituting y = 5 in the function

h(5) = 4(5) -2 = 20 -2 = 18

Therefore, the point (5, 18) satisfies on the function.

Therefore, we conclude that table:

x                  h(x) = 4x-2

0                  -2

1                    2

2                   6

3                   10

4                   14

5                   18

The graph of the function h(x) = 4x-2 is also attached below.

5 0
3 years ago
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