Two similar polygons have areas of 16 square inches and 64 square inches. The ratio of a pair of corresponding sides is 1/4.

Explain how you use estimation to check the reasonableness of a solution to a practical problem.

Oxana [17]

Answer:

Well, one way to use reasonableness is to estimate the answer to see if your answer is an outrageous answer or not. So, looking at your problem, you see that you are multiplying a two hundred something number by 4 and then subtracting 10 from it.

Step-by-step explanation:

3 0

3 years ago

Can someone explain how to do these. Also on number 2, how do u find the ratio ?

KIM [24]

9514 1404 393

Answer:

2. D

3. B

4. D

5. A

Step-by-step explanation:

2. Write the ratio using the given words, then fill in the corresponding numbers. Factor out the greatest common factor.*

soccer players : volleyball players = 84 : 36 = 12·7 : 12·3 = 7 : 3

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3. The <em>angle bisector</em> has angle marks on either side of it. The only angle marks are at angle G, where GL is the bisector.

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4. The <em>median</em> is drawn from a vertex to the midpoint of the opposite side. The only side with a midpoint marked is IG with midpoint J. The median is HJ.

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5. An altitude is drawn from a vertex to the opposite side, where it meets at right angles. Two right angles are shown: at J and at K. The perpendicular line at J does not meet any vertex. The perpendicular line at K meets vertex I, so KI is the altitude.

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* For larger numbers, or ones whose factors you aren't familiar with, it can be useful to know Euclid's method for finding the greatest common factor (GCF). Divide the larger number by the smaller and keep the remainder. If the remainder is 0, the smaller is the GCF. If not, replace the larger number with the remainder and repeat.

Here, that looks like ...

84 / 36 = 2 r 12

36 / 12 = 3 r 0 . . . . . 12 is the GCF

4 0

3 years ago

A simple dart target has two concentric circles. The larger circle has a radius of 4. The smaller circle has a radius of 2. The

Natali5045456 [20]

Answer:

3 times more.

Step-by-step explanation:

The odds of landing a dart in any of the circles correspond to the surface area of the circle.

Calculate the surface area of both circles:

The formula for the area of a circle is $\pi r^{2}$ .

inner circle: $A=\pi 2^{2}=12.566$
for the outer circle, use the formula then subtract the value of the inner circle, to find the remaining area: $A=(\pi 4^{2} )-12.566=37.699$

Calculating greater chance:

Divide the larger area by the smaller area:

$37.699/12.566 = 3$

That means that the area of the outer circle is 3 times larger, making it 3 times more likely to hit the outer circle. Therefore the points for hitting the inner circle should be 3 times more.

7 0

3 years ago

Which is the volume formula for a rectangular prism with a base of 26 square feet and a height of 10 feet

AleksAgata [21]

Answer:

Step-by-step explanation:

Given the length, width and height find the volume, surface area and diagonal of a rectangular prism

h, l and w are known; find V, S and d

V = lwh

S = 2(lw + lh + wh)

d = √(l2 + w2 + h2)

2. Given the surface area, length and width find the height, volume and diagonal of a rectangular prism

S, l and w are known; find h, V and d

h = (S - 2lw) / (2l + 2w)

V = lwh

d = √(l2 + w2 + h2)

3. Given the volume, length and width find the height, surface area, and diagonal of a rectangular prism

V, l and w are known; find h, S and d

h = V / lw

S = 2(lw + lh + wh)

d = √(l2 + w2 + h2)

4. Given the diagonal, length and width find the height, volume and surface area of a rectangular prism

d, l and w are known; find h, V and S

h = √(d2 - l2 - w2)

V = lwh

S = 2(lw + lh + wh)

4 0

3 years ago

Read 2 more answers

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 9 in. and 12 in. long. What's the length

kow [346]

The length of he altitude to the hypotenuse is the square root of 108

3 0

3 years ago