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2 years ago

6

Mary is making pillows for her life skills class. she bought 2 1/2 yards of fabric. her total cost was $15. what was the cost pe

r yard
?

1 answer:

Delvig [45]2 years ago

3 0

$6 per yard
please give brainliest

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Write a list of steps that are needed to find the measure of angle B if angle A is 72 and angle C is 113 ( the figure is a trian

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Triangle has 3 angles, A, B, C. The total interior angle of a triangle is 180.
180 = A + B + C
180 = 72 + B + 113
180 = B + 185
B = 180 - 185
B = -5

This only proves that the figure is not a triangle because angle B is negative.

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3 years ago

B) The number of volume of a cylinder is half of its number of the total surface area.

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Answer:

$V=179.6cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$V=\pi r^2h$

where r is the radius and h is the height.

and the surface area:

$SA=2\pi r^2+2\pi rh$

the first term is the area of the circles and the second term is the area of the body.

since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

$V=\frac{1}{2}SA$

substitutig the equivalent expressions on each side:

$\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)$

and we simplify and solve for the height (since is the value we don't know of the cylinder):

$\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)$

we substitute the value of the radius $r=7cm$ , and we get:

$h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm$

thus the volume is:

$V=\pi r^2h$

$V=\pi (7cm)^2(1.1666cm)\\V=179.6cm^3$

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