1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
weeeeeb [17]
3 years ago
9

The two pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.

Mathematics
1 answer:
mihalych1998 [28]3 years ago
5 0

Answer:

A) 5.12mm³

Step-by-step explanation:

Step 1

Find the volume of the bigger pyramid

This is a triangular based pyramid.

The formula to use is given as Volume of Pyramid =

1/3 × Area of the triangle × Height

Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²

Volume of the large pyramid = 1/3 × 6mm² × 5mm

= 10mm³

We are given the length of the small pyramid as 4mm

We would be using was is known as scale factor to find the volume of the small pyramid

The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³

k = 4³/5³

k = Volume of small pyramid/ Volume of large pyramid

Volume of small pyramid = X

Volume of large pyramid = 10mm³

Hence,

4³/5³ = X/10

Cross Multiply

= 4³ × 10 = 5³ × X

X = (4³ × 10)/ 5³

X = 5.12mm³

You might be interested in
A. Scalene<br> B. Obtuse<br> C. Equilateral <br> D. Isosceles <br> E. Acute<br> F. Right
Doss [256]

The Answer is Scalene and Acute

7 0
3 years ago
Can someone help me please?
sergiy2304 [10]

Answer:

6.5

Step-by-step explanation:

43.50-24=19.5

19.5/3=6.5

8 0
3 years ago
John invests $200 at 4.5% compounded annually. About how long will it take for John’s investment to double in value?
Gekata [30.6K]

Answer:

The number of years needed is 15.75 years.

Step-by-step explanation:

The investment amount (present value) = $200

Interest rate =4.5%

Double of investment = $400

Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.

Future value = present value ×(1+interest rate)^n

400 = 200×(1+4.5%)^n

N = 15.75 years

The number of years required to double the amount is 15.75 years.

8 0
3 years ago
A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.93. Assume indepen
noname [10]

Answer:

There is a 99.99998% probability that at least one valve opens.

Step-by-step explanation:

For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 5, p = 0.93

Calculate P(at least one valve opens).

This is P(X \geq 1)

Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:

P(X = 0) + P(X \geq 1) = 1

P(X \geq 1) = 1 - P(X = 0)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.93)^{0}.(0.07)^{5} = 0.0000016807

Finally

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000016807 = 0.9999983193

There is a 99.99998% probability that at least one valve opens.

5 0
2 years ago
Read 2 more answers
Help!!!!! Solve the distance??
hram777 [196]

Answer:

531.4

Step-by-step explanation:

ED/AE=BC/AB

ED=AE*BC/AB

ED=240*620/280

ED=531.4

6 0
2 years ago
Other questions:
  • magine you have friends from all over the world. Translate the following sentences into Spanish. 1. Juan is from China. He is Ch
    9·2 answers
  • HELP PLEASE
    7·1 answer
  • A board is 24 in. long. find all the whole number lengths into which it can be evenly divided.
    15·2 answers
  • What property is 1x9=9 in
    14·1 answer
  • Which statement about the ordered pairs (–3, –3), (0, –3) and (3, –3) is not true?
    8·1 answer
  • Bernard bought 8gal of paint. Convert the volume to liters. Round to the nearest tenth
    15·1 answer
  • Miguel has one foot string. He cuts the string into fourths. How many inches is each piece of string?
    15·2 answers
  • Ratios and proportions quick quiz. Jules bought 6 pairs of shorts for 30$ at this rate what would the cost be for 8 pairs of sho
    14·1 answer
  • GEOMETRY - triangle similarity
    10·2 answers
  • What is the base area of Box 3? x2 + x
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!