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Nataliya [291]
2 years ago
13

Which choices are correct when determining the distance between −56 and 69?

Mathematics
1 answer:
Gnesinka [82]2 years ago
6 0

The choices that are correct when determining the distance between −56 and 69 are |-56 - 69| and 125 units

<h3>How to determine the choices that are correct when determining the distance between −56 and 69?</h3>

The endpoints are given as

−56 and 69

The distance between the endpoints is calculated using

Distance = |Difference between  endpoints|

So, we have:

Distance = |-56 - 69|

Evaluate

Distance = 125

Hence, the choices that are correct when determining the distance between −56 and 69 are |-56 - 69| and 125 units

Read more about number line at

brainly.com/question/4727909

#SPJ1

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3. Trapezoidal prism

Again, first step is to calculate the area of the trapezoid shape, then multiply by its depth.

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5. Triangular prism 2

The best way to approach this one is to consider it's a triangle prism with a height of 3 cm, and use the triangle shape (with sides of 13 and 5) as the base.

But to calculate the area of that triangle we need to find out the missing length. Using Pythagore's theorem, we can easily find the length of the other side with the hypotenuse formula:

hypotenuse² = sideA² + sideB²

In our case, we have:

13² = x² + 5²

169 = x² + 25

x² = 144

x = 12

Now we can calculate the area of the triangle easily:

A = (b x h)/2 = (5 x 12)/2 = 30 sq m

Then multiply by the thickness of the prism....

V = 30 x 3 = 90 cubic m

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