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kykrilka [37]
3 years ago
13

Find the total surface area.

Mathematics
1 answer:
shtirl [24]3 years ago
6 0

The pyramid consists of 4 congruent triangular faces, and 1 square base.

Area of 1 triangular face:

1/2 * (5 in)/2 * (5.6 in) = 7 in^2

Area of base:

(5 in)^2 = 25 in^2

Then the total surface area is

4 * (7 in^2) + 25 in^2 = (28 + 25) in^2 = 53 in^2

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2 years ago
What is the solution to the system of equations?
MariettaO [177]

Answer:

x=-4 y=-1

Step-by-step explanation:

Let's solve your system by substitution.

−3x−8y=20;y=5x+19

Rewrite equations:

y=5x+19;−3x−8y=20

Step: Solve y=5x+19for y:

y=5x+19

Step: Substitute5x+19foryin−3x−8y=20:

−3x−8y=20

−3x−8(5x+19)=20

−43x−152=20(Simplify both sides of the equation)

−43x−152+152=20+152(Add 152 to both sides)

−43x=172

−43x

−43

=

172

−43

(Divide both sides by -43)

x=−4

Step: Substitute−4forxiny=5x+19:

y=5x+19

y=(5)(−4)+19

y=−1(Simplify both sides of the equation)

Answer:

x=−4 and y=−1

 

7 0
3 years ago
The average of 5 numbers is 20. what is the sum of these same numbers?
Vinil7 [7]
Average = (A₁+A₂+A₃+A₄+A₅)/5. Since average = 20 (GIVEN), then:

20 = (A₁+A₂+A₃+A₄+A₅)/5

Or (A₁+A₂+A₃+A₄+A₅) = 20x5

(A₁+A₂+A₃+A₄+A₅) = 100

4 0
3 years ago
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