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GREYUIT [131]

Answer:

$175\ in^{2}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> volume of the larger solid

y----> volume of the smaller solid

$z^{3}=\frac{x}{y}$

we have

$x=125\ in^{3}$

$y=27\ in^{3}$

substitute

$z^{3}=\frac{125}{27}$

$z=\frac{5}{3}$

step 2

Find the surface area of the larger solid

we know that

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

Let

z----> the scale factor

x----> surface area of the larger solid

y----> surface area of the smaller solid

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

we have

$z=\frac{5}{3}$

$y=63\ in^{2}$

substitute

$(\frac{5}{3})^{2}=\frac{x}{63}$

$x=\frac{25}{9}*63=175\ in^{2}$

3 0

3 years ago

How do you simplify the radical expression, 24- sqrt(720 over 4

baherus [9]

24- sqrt(720/4) divide 720 by 4

24 - sqrt (180) now break down 180 to 9*4*5

24- sqrt(9) *sqrt(4) *sqrt (5) so 9becomes 3, 4 becomes 2

24- 3*2*sqrt(5) multiply 3 and 2

24-6sqrt(5)

7 0

3 years ago

Julia has to mow two yards she will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard she has

Mazyrski [523]

Answer:

Julia has enough gas to mow the two yards.

Step-by-step explanation:

Given:

Julia needs $\frac{13}{16}$ gallon of gas to mow first yard.

Julia needs $\frac{2}{5}$ gallon of gas to mow second yard.

Julia has a total of $1\frac{1}{2}$ gallon of gas in in her can.

To find whether she has enough to mow both yards.

Solution:

Total gallons of gas needed to mow two yards can be found out by :

⇒ $\frac{13}{16}+\frac{2}{5}$

Taking LCD =80.

⇒ $\frac{13\times 5}{16\times 5}+\frac{2\times 16}{5\times 16}$

⇒ $\frac{65}{80}+\frac{32}{80}$

Adding the numerators.

⇒ $\frac{97}{80}$

⇒ 1.2125 gallons

Julia has $1\frac{1}{2}$ gallon = 1.5 gallons of gas in in her can.

Since $1.5>1.21$ , thus we can say that Julia has enough gas to mow the two yards.

8 0

3 years ago

A motorcycles rider is in the air for 2.5 seconds. Your camera can take a picture every 0.125 second. Your friend's camera can t

liq [111]

Your camera is not faster than ur friends the difference is 0.015

5 0

3 years ago

The CBS’ television show 60 Minutes has been successful for many years. That show recently had a share of 20, which means that a

xxMikexx [17]

Given:
p = 20% = 0.2, sample proportion
n = 5000, sample size.
Confidence level = 95%

The confidence interval is
(p - 1.96k, p + 1.96k)
where
$k=\sqrt{ \frac{p(1-p)}{n} }=\sqrt{ \frac{0.2*0.8}{5000}} =0.00566$

Therefore the 95% confidence interval is
(0.1943, 0.2057) = (19.4%, 20.6%)

Answer: The 95% confidence interval is (19.4%, 20.6%)

6 0

3 years ago