Help on similar triangles #14

Answers

Answer 1

Answer: To find the volume of a cube, the equation is V=s^3, where s is the side length of the figure.

The lengths of the cubes in this problem are 8 and 6

8^3=512
6^3=216

512:216 is the ratio of the larger cube to the smaller cube
Simplify the ratio

512:216=128:54=64:27

64:27

Related Questions

Given right triangle DEF, what is the value of tan(F)?
How do you find the surface area of this figure?
On a map, two towns P and Q are 15.5 cm apart. The scale of the map is 1 cm: 4 km. Calculate the actual distance between P and Q.
Can 24 7ths be equal to another fraction or be simplified in another way
Jennifer cut a board 2 m long into two pieces. one piece is 24 m shorter than the other. find the length of each piece.. Piz help me!!!!!!!!!!!

Find z if X=27, μ=20, and α=3.4. Round to the nearest hundredth if necessary.A. 2.06

B. –2.06

C. 1.18

D. 0.35

Answers

Answer:

A. $Z=2.06$

Step-by-step explanation:

We want to find the Z-score of $X=27$ if the population mean is $\mu=20$ ,and the population standard deviation is $\sigma=3.4$ .

We use the formula:

$Z=(X-\mu)/(\sigma)$

We substitute the values to obtain:

$Z=(27-20)/(3.4)$

$Z=(7)/(3.4)$

$Z=2.06$

The correct answer is A.

Walmart is selling 3 lemons for $1.20.how many does 25 lemons cost

Answers

Answer:

10USD

Step-by-step explanation:

For each lemon: 1.20/3=0.4

for 25: 0.4*25=10USD

How many different 5-person subcommittees can be formed from a club having 12 members

Answers

Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:

12x11x10x9x8 different combinations.

Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.

(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.

Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)

C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792

The explicit formula for a sequence isan=−1+3(n−1)

What is the 55th term of the sequence?

Answers

Step-by-step explanation:

$\because \: a_n = - 1 + 3(n - 1) \n \n \therefore \: a_(55) = - 1 + 3(55 - 1) \n \n \therefore \: a_(55) = - 1 + 3 * 54 \n \n \therefore \: a_(55) = - 1 + 162\n \n \huge \blue { \boxed{\therefore \: a_(55) = 161}}\n \n$

Hence, the 55th term of the sequence is 161.

(NEED DONE QUICK) Triangle ABC has a midsegment at DF and segment DF is parallel to segment BC.What is the value of x?

Answers

Answer:

x = 25

Step-by-step explanation:

Midsegment equals to half of the base

BC = 1/2 DF

3x + 1 = 1/2*8(x - 6)
3x + 1 = 4x - 24
4x - 3x = 1 + 24
x = 25

Answer:

x=25

Step-by-step explanation:

A cone has a diameter of 6 centimeters and a height that is 3 times the diameter. Using 3.14 for pi, which of the following can be used to calculate the volume of the cone?one over three(3.14)(3cm)2(18cm)
one over three(3.14)(6cm)2(18cm)
one over three(3.14)(18cm)2(3cm)
one over three(3.14)(18cm)2(6cm)

Answers

The volume of the cone is calculated by the formula:

V = B*H/3
r=D/2 = 6/3 = 2
where B is surface area of basis and H is height.

B is circle which fomula for surface is:
B = r^2 * pi = 3^2*3,14 = 9*3,14 = 28.26

from condition of height we write:
H = 3*D = 3*6 = 18

now volume is:

If we express all of that in equation of volume we get:

V = 1/3* 3^2*3,14*18

Answer is first option.

Answer:

Answer is first option.

Step-by-step explanation:

V = 1/3* 3^2*3,14*18

Other Questions

-9x+4=-8-5x helppppp plsssss

You invest $230 to start a sandwich stand and decide to charge $4.25 per sandwich, Set up a Linear Model that determines your profit or loss based on the number of sandwiches

A boat costs $11,850 and decreases in value by 10% per year. How much will the boat be worth after 8 years?A. $4,590.93 B. $11,770.00 C. $25,401.53 D. $5,101.04

PLEASE HELP !!! Which polygon is a concave octagon?