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notsponge [240]
2 years ago
12

Find the total surface area of the figure below:

Mathematics
2 answers:
kow [346]2 years ago
8 0

Answer:

95

Step-by-step explanation:

Formula -

Triangle Area - 1/2bh

Square - l x w

Triangle - 5 x 7 = 35/2 = 17.5

Since there are four triangle, we will multiply 17.5 x 4 which is equal to 70

Square  - 5 x 5 = 25

Now we add both 70 and 25 which is 95

So the total surface area is 95

lesantik [10]2 years ago
8 0

Answer:

95

Step-by-step explanation:

Area of the triangles:

  1. A = (base × height) ÷ 2
  2. A = (5 × 7) ÷ 2
  3. A = (35) ÷ 2
  4. A = 17.5
  5. Because there are 4 triangles, we can do our answer of one triangle × 4
  6. So, 17.5 × 4 = 70

Area of a square:

  1. The sides of squares are the same
  2. A = L × W
  3. A = 5 × 5
  4. A = 25

Put them together:

  1. Area of triangles + area of the square = surface area
  2. 70 + 25 = suface area
  3. 70 + 25 = 95

I hope this helps!

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Fed [463]

Answer:

Step-by-step explanation:

-4=2x+16

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2 years ago
Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S
Harman [31]
ANSWER

y =  \frac{3}{2} x + 8



EXPLANATION

The line given to us has equation,

2x + 3y = 9

We need to write this equation in the slope intercept form to obtain,


3y =  - 2x + 9



\Rightarrow \: y =  -  \frac{2}{3}x + 3


The slope of this line is

m_1 =  -  \frac{2}{3}
Let the slope of the perpendicular line be

m_2

Then
m_1 \times m_2 =  - 1


-  \frac{2}{3} m_2=  - 1

This implies that,

m_2 =  - 1 \times  -  \frac{3}{2}


m_2 =  \frac{3}{2}



Let the equation of the perpendicular line be,

y = mx + b

We substitute the slope to get,


y =  \frac{3}{2} x + b

Since this line passes through
(-2,5)
it must satisfy its equation.


This means that,

5=  \frac{3}{2} ( - 2)+ b


5 =  - 3 + b



5 + 3 = b


b = 8

Wherefore the slope-intercept form is

y =  \frac{3}{2} x + 8
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