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3 years ago

If 19 represents 228 gallons, what is the value of 6 units

Mathematics

1 answer:

levacccp [35]3 years ago

7 0

Answer:

72 gallons

Step-by-step explanation:

we know that

19 units represent 228 gallons

using proportion

Find out how many gallons represent 6 units

Let

x ---> the number of gallons for 6 units

$\frac{228}{19}\ \frac{gallons}{units} =\frac{x}{6}\ \frac{gallons}{units}\\\\x=228(6)/19\\\\x=72\ gallons$

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8. The trapezoids are similar. The area of the smaller trapezoid is 131 m2. Find the area of the larger trapezoid to the nearest

kolbaska11 [484]

Answer:

$3,726\ m^{2}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x----> corresponding side of the larger trapezoid

y----> corresponding side of the smaller trapezoid

$z=\frac{x}{y}$

we have

$x=64\ m$

$y=12\ m$

substitute

$z=\frac{64}{12}$

step 2

Find the area of the larger trapezoid

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x----> area of the larger trapezoid

y----> area of the smaller trapezoid

$z^{2}=\frac{x}{y}$

we have

$z=\frac{64}{12}$

$y=131\ m^{2}$

substitute

$(\frac{64}{12})^{2}=\frac{x}{131}$

$x=(\frac{4,096}{144})(131)$

$x=3,726\ m^{2}$

5 0

3 years ago

The answer to the question below is 8/15 right?

ioda

When you have something like this, to simplify the exponent you multiply them together, so the exponent is 1/3 x 1/5.
1/3 x 1/5 is 1/15, so the simplified expression is:
$m^{ \frac{1}{15} }$
Hope this helps!

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If you want explanation please ask me .

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3 years ago