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3 years ago

A seamstress is making a decorative pillow and wants to cover both sides of the pillow with special fabric. The pillow is

Mathematics

1 answer:

Cloud [144]3 years ago

6 0

The three points form a right triangle with legs length 3in and 4in. So, the area is

$\dfrac{3\cdot 4}{2}=6$

So, both sides of the pillow will require 12 squared inches.

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Rewrite the expression in the form x

Serga [27]

Answer:

See below (I hope this helps!)

Step-by-step explanation:

When dividing exponential terms of the same base, we can simply subtract the exponents, therefore:

$\frac{x^{6} }{x^{8} } = x^{(6-8)} = x^{-2}$

5 0

4 years ago

Sarah wants to join a gym. Fitness Gym charges a $120 enrollment fee and $25 a month. Sports Gym charges no enrollment fee and $

kirill [66]

Answer:

it will take about 6 months

4 0

3 years ago

Read 2 more answers

Eight more than three times a number is equal to the sum of the number and 10. find the number

Afina-wow [57]

Answer:

8+3x=x+10

2x=2

x=1

The number is 1

6 0

3 years ago

The bed of a truck is stacked with with boxes of paper. The boxes are stacked 5 boxes deep by 4 boxes high by 4 boxes across

marysya [2.9K]

Answer:

Step-by-step explanation:

The boxes are stacked 5 boxes deep by 4 boxes high by 4 boxes across, then there are $5\cdot 4\cdot 4=80$ boxes in total.

The mass of 1 box of paper is 22.5 kilograms, so 80 boxes weigh $22.5\cdot 80=1800$ kilograms.

When the driver is in the truck, the mass is 2948.35 kilograms, then the total mass is

$2948.35+1800=4748.35\ kg.$

Let n be the number of boxes of paper the driver must deliver at the first stop. Their weigth is 22.5n kg and the weight of the truck without n boxes is

$4748.35-22.5n\ kg.$

Trucks with a mass greater than 4700 kilograms are not allowed over the bridge, thus

$4748.35-22.5n48.35,\\ \\n>\dfrac{967}{450}=2\dfrac{67}{450}.$

Hence, the driver must deliver at least 3 boxes at the first shop.

8 0

3 years ago

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of α

8_murik_8 [283]

Answer:

The value of angle α is 18 degree.

Step-by-step explanation:

Given information: Angles α and β are the two acute angles , α < β.

Given equation is

$\sin (2x-8)=\cos (6x-6)$

$\cos (90-(2x-8))=\cos (6x-6)$ $[\because \sin (90-x)=\cos x]$

Equating both sides.

$90-2x+8=6x-6$

$98+6=6x+2x$

$104=8x$

$13=x$

The value of x is 13.

The measure of angles is

$2x-8=2(13)-8=18$

$6x-6=6(13)-6=72$

Since 18<72, therefore the value of angle α is 18 degree.

8 0

4 years ago