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3 years ago

Austin is helping his mom stain their wooden deck shown in the diagram below.

Mathematics

1 answer:

Anna [14]3 years ago

5 0

Answer:

part A is 512 square ft and part B is 3 cans

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A can of tuna has a volume 18pi cm3 and a height of 2 cm. Find the area of the label that wraps around the entire can and does n

Sphinxa [80]

Answer:

The area of the label is $12\pi\ cm^{2}$

Step-by-step explanation:

step 1

Find the radius

we know that

The volume of the cylinder (can of tuna) is equal to

$V=\pi r^{2} h$

In this problem we have

$V=18\pi\ cm^{3}$

$h=2\ cm$

substitute and solve for r

$18\pi=\pi r^{2} (2)$

Simplify

$18=r^{2}(2)$

$r^{2}=9$

$r=3\ cm$

step 2

<em>Find the lateral area of the can</em>

The lateral area of the cylinder (can of tuna) is equal to

$LA=2\pi rh$

we have

$r=3\ cm$

$h=2\ cm$

$LA=2\pi (3)(2)=12\pi\ cm^{2}$

5 0

3 years ago

Find the missing angle. PLS HELP FAST !

eimsori [14]

Answer:

x = 53.5°

Hope this helps... Have a good day!!

3 0

3 years ago

Wha is 5÷312 in long division

bezimeni [28]

The answer is 62 with a remainder of 2.

Hope this helps!

5 0

3 years ago

Jasmine is in charge purchasing tubes of silicone sealant, used for finishing restroom facilities. She finds that she is able to

Georgia [21]

The question attached is:

Is Jasmine correct about the silicone sealant cones?

If you think Jasmine is correct to explain, why.

Answer:

Jasmine is correct about the silicone sealant cones

Step-by-step explanation:

Given that:

Jumbo cone of sealant has a top diameter of 12 inches and a height of 14 inches, Suppose Jasmine orders or demands for two regular cones of regular sealant, definitely, that will be equal to the Jumbo cone of sealant.

This is because the top diameter when put together in a Jumbo cone will give an actual result as a Jumbo cone, for as much as 6 × 2 = 12 inches (top diameter) and 7 × 2 = 14 inches (height).

8 0

3 years ago

⦁ Determine if the equation represents a direct variation. .8x = 1.6y ⦁ Suppose y varies directly with x. Write a direction vari

Mkey [24]

Part A:

Given that

$0.8x=1.6y\Rightarrow x= \frac{1.6}{0.8} y=2y$

Thus, x = ky where k = 2.

Therefore, the given equation is a direct variation.

Part B:

If y varies directly as x, then y = kx.

Given that y = 5 when x = 2, then

$5=2k \\ \\ \Rightarrow k=\frac{5}{2} =2.5 \\ \\ \Rightarrow y=2.5x$

When x = 12, y = 2.5(12) = 30.

Part C:

If y varies directly as x, then y = kx.

Given that y = 9 when x = -6, then

$9=-6k \\ \\ \Rightarrow k=-\frac{9}{6} =-\frac{3}{2} \\ \\ \Rightarrow y=-\frac{3}{2}x$

It can be seen that the equation above satisfies all the rows of the given table, therefore, y varies with x for the data in the question and the equation for the direct variation is $y=-\frac{3}{2}x$

Part 4:

If y varies directly as x, then y = kx.

Given that y = 1 when x = -2, then

$1=-2k \\ \\ \Rightarrow k=-\frac{1}{2} \\ \\ \Rightarrow y=-\frac{1}{2}x$

It can be seen that the equation above does not satisfies the other rows of the given table, therefore, y does not vary with x for the data in the question.

8 0

3 years ago

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