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Liula [17]
3 years ago
7

Solve the system below using an appropriate method.

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0
Using substitution:
4x+2y=12
y=8x+1

4x+2(8x+1)=12

distribute
4x+16x+2=12

combine like terms
18x+2=12

subtract 2 from both sides
20x=10

divide each side by 20
x=10/20

reduce
x=1/2

plug in x for the y= equation
y=8(1/2)+1

multiply
y=4+1

add
y=5

answer:
(1/2,5)
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3

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A square pyramid. The square base has side lengths of 6 inches. The 4 triangular sides have a base of 6 inches and height of 9 i
Marrrta [24]

Answer:

The area of the pyramid’s base is 36 in².

The pyramid has 4 lateral faces.  

The surface area of each lateral face is 27 in².

Step-by-step explanation:

"<u>Lateral</u>" means side, so the lateral faces are <u>triangles</u>.

The <u>base</u> is the bottom, which is a <u>square</u>.

To calculate the <u>area of the base</u>, use the formula for area of a square.

A_{base} = s^{2}

A_{base} = (6 in)^{2}

A_{base} = 36 in^{2}

To calculate the <u>area of a lateral face</u>, find the area of a triangle.

A_{lateral} = \frac{bh}{2}

A_{lateral} = \frac{(6 in)(9 in)}{2}

A_{lateral} = \frac{54 in^{2}}{2}

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In a pyramid, the number of lateral faces is the same as the number of sides in the base. <u>The square base as 4 sides, so there are 4 lateral faces</u>.

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3 years ago
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Answer:

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Step-by-step explanation:

Split the boxes into two parts.

One box measuring 11.5 ft long and 3 ft wide. (Box A)

The second box measuring 7.5 ft long and 3 ft wide. (Box B)

Area (figure) = Area of box A + Area of box B

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Area of box B

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Area of figure = 34.5 + 22.5

Area of figure = 57 ft²

3 0
3 years ago
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