All categories

3 years ago

If two similar cones have volumes of 320 cm and 1,080 cm, find the scale factor

Mathematics

1 answer:

allsm [11]3 years ago

5 0

Answer:

8:27

Step-by-step explanation:

Let Small cone be A, Large cone be B.

#Compare volumes to find scale factor.

$\ Volume \ scale \ factor= \frac{Vol A}{Vol B}\\=\frac{320}{1080}\\=\frac{8}{27} \ or\ 8:27$

You might be interested in

Activity which odd number comes immedediatly before 87?

sergejj [24]

85 comes immediately before

6 0

3 years ago

Heeeeeeeelp!!!!!!!!!!!

Natasha_Volkova [10]

A is the answer because if you calculate the answer correctly. that will be so.

8 0

3 years ago

A 14-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 9 fee

timama [110]

Answer:

10.7 feet

Step-by-step explanation:

The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.

The hypotenuse of the triangle is 14 feet (length of ladder)

The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)

We need to find the height of the triangle. We can apply Pythagoras rule:

$hyp^2 = a^2 + b^2$

where hyp = hypotenuse

a = base of the triangle

b = height of the triangle

Therefore:

$14^2 = 9^2 + b^2\\\\196 = 81 + b^2\\\\b^2 = 196 - 81 = 115\\\\b = \sqrt{115} \\\\b = 10.7 feet$

The wall reaches 10.7 feet high.

3 0

4 years ago

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years. With all else equal, what is th

irga5000 [103]

Answer:

The future value of this initial investment after the six year period is $2611.6552

Step-by-step explanation:

Consider the provided information.

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.

Future value of an investment: $FV=P(1+r)^n$

Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.

9% compounded semiannually for 6 years.

Therefore, the value of r is: $r=\frac{0.09}{2}=0.045$

Number of periods are: 2 × 6 = 12

Now substitute the respective values in the above formula.

$FV=1540(1+0.045)^{12}$

$FV=1540(1.045)^{12}$

$FV=1540(1.69588)$

$FV=2611.6552$

Hence, the future value of this initial investment after the six year period is $2611.6552

6 0

4 years ago

Estimate 10/12 − 3/8 using benchmark values. Your equation must show the estimate for each fraction and the final estimate for t

Maksim231197 [3]

Answer: $\frac{11}{24}$

Step-by-step explanation:

Give expression is,

$\frac{10}{12}-\frac{3}{8}$

Since L.C.M ( 12, 8 ) = 24

$=\frac{10\times 2}{12\times 2}-\frac{3\times 3}{8\times 3}$

$=\frac{20}{24}-\frac{9}{24}$

$=\frac{20-9}{24}$

$=\frac{11}{24}$

$\text{Hence, }\frac{10}{12}-\frac{3}{8}=\frac{11}{24}$

8 0

3 years ago