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krok68 [10]
3 years ago
11

The figure shown is made up of a triangle and a square. The perimeter of the figure is 56 inches. Complete

Mathematics
1 answer:
musickatia [10]3 years ago
4 0

Image of figure is missing so i have attached it.

Answer:

The total length of three sides of the square = 36 in

Side length of square = 12 in

A_triangle = 48 in²

Area of square = 144 in²

Total area of figure = 192 in²

Step-by-step explanation:

Total perimeter = 56 inches

Let the side of the square be s.

Thus, perimeter of the 3 sides of the square = 3s

Therefore, adding all the external sides of the figure, we have;

3s + 10 + 10 = 56

3s + 20 = 56

3s = 56 - 20

3s = 36

s = 36/3

s = 12

Area of triangle is given by the formula;

A_triangle = ½bh

Where;

b is base

h is height

Thus;

A_triangle = ½ × 12 × 8

A_triangle = 48 in²

Area of square = 12 × 12 = 144 in²

Total area of figure = 144 + 48 = 192 in²

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Marina CMI [18]

9514 1404 393

Answer:

  0

Step-by-step explanation:

In week 44, Natasha's gross salary comes to 93,500, so she already exceeds the 90,000 limit on social security taxable income.

Natasha pays no social security tax in week 45.

4 0
3 years ago
Please Help! Will Give A Brainliest!!
Ray Of Light [21]
A) because when they are equal it means that their y has the same value, which means their intersection point.


B) You should take all integers from (-2, 2) which are: -2, -1, 0, 1, 2 and put them one by one in the example:
x = -2    
    y1 = 4^-(-2) = 4^2 = 16 
    y2 = 2^(-(-2) + 1) = 2^(2+1) = 2^3 = 8
y1 ≠ y2      =>      so x=-2 isn't our answer
-------------------------------------------------------
x = -1
    y1 = 4^-(-1) = 4^1 = 4 
    y2 = 2^(-(-1) + 1) = 2^(1+1) = 2^2 = 4
y1 = y2      =>       so our answer will be x = -1
-------------------------------------------------------
x = 0
    y1 = 4^-(0) = 4^0 = 1 
    y2 = 2^(-(0) + 1) = 2^(0+1) = 2^1 = 2
y1 ≠ y2      =>      so x=0 isn't our answer
--------------------------------------------------------------
x = 1 
    y1 = 4^-(1) = 4^(-1) = 1/4 
    y2 = 2^(-(1) + 1) = 2^(-1+1) = 2^0 = 1
y1 ≠ y2      =>      so x=1 isn't our answer
--------------------------------------------------------------
x = 2 
    y1 = 4^-(2) = 4^(-2) = 1/16 
    y2 = 2^(-(2) + 1) = 2^(-2+1) = 2^(-1) = 1/2
y1 ≠ y2      =>      so x=2 isn't our answer

Which means that our final answer is: x=-1


C) You should draw both graphics, and their intersection point (x) will be the answer.


I hope it helped.


6 0
4 years ago
1 point<br> Solve the equation<br> 6x + 8 – 8x + 15 = 4x– 1
dlinn [17]
Answer: x = 4
We're going to start off by combining liked terms, that'll make this easier to solve!
-2x + 23 = 4x - 1
Now, we're going to add -2 to both sides.
23 = 6x - 1
Next, add 1 to both sides.
24 = 6x
Then, divide both sides by 6.
x = 4

Let me know if you have any questions! :)
4 0
3 years ago
Read 2 more answers
Henry is making a recipe for biscuits. A recipe calls for 3 /10 kilogram flour and 8 /100 kilogram sugar. If Henry measures corr
fgiga [73]

Answer:

38/100

Step-by-step explanation:

To combine the amounts, add the fractions with a common denominator.

3/10 kilogram flour is 30/100.

8/100 kilogram of sugar.

Both now have the same denominator. Add the numerators to find the total.

30/100 + 8/100 = 38/100

8 0
3 years ago
What is the answer 5x+3+2x+1
Anton [14]
7x+4 is the solution.


Hope I'm the brainliest!!
4 0
3 years ago
Read 2 more answers
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