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3 years ago

Which statements are true about the toolbox? Select two options.

Mathematics

1 answer:

Amanda [17]3 years ago

8 0

Answer:

Option A and E.

Step-by-step explanation:

It is mentioned that Chiyo has a toolbox having a rectangular prism shape with a length of 8 inches, width of 15 inches, and height of 6 inches.

In addition to this, A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.

So here the shape can be broken into a triangular prism and rectangular prism

Therefore the first option is correct

Now as we know that

Volume of the rectangular prism is

= l×b× h

= 8 × 15 × 6

= 720

And, the volume of the triangular prism is bh

And, the area of the triangular prism is 1 ÷ 2 × b × h

= 1 ÷ 2 × 8 × 3

= 12

Now the volume is

= 12 × 15

= 180

So, the volume of the tool box is

= 720 + 180

= 900

Hence, the last option is correct

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13. The table shows the approximate area in square miles of the

Natalka [10]

The difference between the areas of Alaska and Rhode Island in square miles is 481.

What is "difference" in mathematics?

One of the most crucial mathematical operations, which is obtained by removing two integers, produces difference in mathematics. It reveals how much one number deviates from another. To determine how many numbers are between the two supplied numbers is the goal of finding the difference in math. The difference in mathematical notation is minus (-).

Given that Rhode Island is 392 square miles in size overall and Alaska is 873 square miles, the following calculation must be done to discover the difference between them:

873 - 392 = X

481 = X

Therefore, the difference in square miles is 481.
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Complete Question

The table shows the approximate area in square miles of the largest and smallest states in the United States.

State Area (mi2)

Alaska 873

Rhode Island 392

What is the difference between the areas in square miles?

__ square miles

7 0

1 year ago

Write an equation of the line perpendicular to the give line that contains p.

Mkey [24]

Answer:

y + 5 = -2(x - 7)

Step-by-step explanation:

The slope of the line y = (1/2)x + 4 is 1/2. Any line perpendicular to this one will have a slope which is the negative reciprocal of 1/2: -2.

Using the point-slope form, the desired equation is:

y + 5 = -2(x - 7)

3 0

3 years ago

A line passes through the points (2,-4) and (6, 10). What is the equation of the line?

malfutka [58]

Answer:

The equation of a line tells us both the y-intercept and the slope of a line on a graph. The equation of a line that passes through the points (2, -4) and (6, 10) is:

$y=\frac{7}{2}x(3.5)-11$