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WINSTONCH [101]

3 years ago

8

A triangle with area 40 square inches has a height that is four less than six times the base. Find the base and height of the tr

iangle

1 answer:

Artist 52 [7]3 years ago

3 0

Answer:

A = 1/2bh

Step-by-step explanation:

40 = (.5)(6x - 4)(x)

40 = (3x-2)(x)

40= 3x^2 - 2x

3x^2 -2x - 40 =0

3x^2 - 12x + 10x - 40 = 0

3x(x - 4) + 10(x -4) = 0

(3x + 10)(x - 4) = 0

x = {4 , - 10/3}

x = 4 , b = 20. h = 4

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3 years ago

Find the scale factor of a cube with volume 216 ft^3 to a cube with volume 1000 ft^3.

Bad White [126]

Answer:

Scale factor of cube to the smaller cube is 5 : 3.

Step-by-step explanation:

Ratio of the volumes of two cubes = $\frac{\text{volume of large prism}}{\text{Volume of small prism}}$

= $\frac{1000}{216}$

= $\frac{125}{27}$

Scale factor of these cubes = $\sqrt[3]{\text{ratio of the volumes of the cubes}}$

= $\sqrt[3]{\frac{\text{volume of large prism}}{\text{Volume of small prism}}}$

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3 years ago

Mazyrski [523]

Answer:

54 cm

Step-by-step explanation:

The area (A) of an equilateral triangle is

A = $\frac{s^2\sqrt{3} }{4}$ ( s is the side length ) then

$\frac{s^2\sqrt{3} }{4}$ = 81 $\sqrt{3}$ ( multiply both sides by 4 to clear the fraction )

s² $\sqrt{3}$ = 324 $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

s² = 324 ( take the square root of both sides )

s = $\sqrt{324}$ = 18

Thus

perimeter = 3 × 18 = 54 cm

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3 years ago

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3 years ago

If X = 16 feet and Y = 8 feet, what is the area of the figure above ? Use 3.14 for pi .

Setler [38]

Answer:

A

Step-by-step explanation:

You can probably figure out the rectangle of 16 by 8 so no explaining there. 16×8=128. You know that diameter of the cirkel is equal to y so 8. The diameter of a cirkel is two times its radius. so 8=2r. r=4. The area of a cirkel is calculated by the formula \pi×r^2. Fill in r=4 in \pi×r^2 gives us \pi×4^2=16\pi. You only have half of the cirkel so 16\pi/2=8\pi. 128+8\pi=153.12 which is A.

5 0

3 years ago