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
Blababa [14]
3 years ago
15

A cone has a volume of 100 cubic inches and base area of 25 square inches. Malik is making a square prism that has three times t

he volume of the cone. The base of the prism has twice the area of the base of the cone. Select all that apply.
A The height of the cone is 12 inches

B The radius of the base of the cone is 5/π (pi) inches

C The side length of the base of the prism is 10 inches

D The height of the cone is twice the height of the prism

E The height of the cone is equal to the height of the prism

F The diameter of the base of the cone equals the side length of the base of the prism
Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer: F The diameter of the base of the cone equals the side length of the base of the prism

Step-by-step explanation:

Given that the

volume = 100 cubic inches and base area = 25 square inches

The base area of a cone is the area of a circle

Area = π r^2

25 = 3.143 r^2

r ^2 = 25/3.143

r = sqrt (7.954)

r = 2.8

Volume = area × height

Height = volume/area

Height = 100/25 = 4 inches

Given that the prism has three times the volume of the cone.

Prism volume = 3 × 100 = 300

Cube root of 300 = 6.69 inches

You might be interested in
What would be the opposite of point R on this number line
damaskus [11]

Answer:

6

Step-by-step explanation:

8 0
3 years ago
I REALLY NEED HELP!
Snowcat [4.5K]

Answer:

B

Step-by-step explanation:

The compound interest formula is A = P (1+r/n)^nt where:

  • P is the starting amount called the principle
  • r is the rat written as a decimal
  • n is the number of times compounded in a year
  • t is the number of years

Substitute a value into each variable to solve.

  • P = $147 since 10% of 1,470 is being invested which makes P = 0.10(1470) = 147.
  • The rate is 3.5% or r = 0.035.
  • n = 12 because it is compounded monthly meaning 12 times a year.
  • t = 25 since it will earn for 25 years.

A = P (1+r/n)^{nt}\\A = 147(1 + \frac{0.035}{12})^{12*25}\\A = 147 ( 1 + 0.002916)^{300}\\A = 147(1.002916)^{300}\\A = 352.19

Repeat this process for each formula.

5 0
3 years ago
Hal earns $5 a week doing chores for his parents. He also earns $10 a week for each dog, d, he walks.
sammy [17]

Answer:

Step-by-step explanation:

m = 5 + 10d

The variable "d" is the independent variable because its value does not depend on another variable. The variable "m" is the dependent variable because its value depends on the value of the variable "d"

3 0
3 years ago
Let D = {-48, -14, -8, 0, 1, 3, 16, 23, 26, 32, 36} Determine which of the following statements are true and which are false. a)
morpeh [17]

Answer:

\forall x\in D if x is odd then x> 0 is true statement.

\forall x\in D if x is odd then x> 0 is true statement.

\forall x\in D if x is even then x≤0 is false statement.

\forall x\in D If the ones digit of x is 2, then the tens digit is 3 or 4 is true statement.

\forall x\in D if the ones digit of x is 6, then the tens digit is 1 or 2 is false statement.

Step-by-step explanation:

Consider the provided information.

D = {-48, -14, -8, 0, 1, 3, 16, 23, 26, 32, 36}

Part (A) \forall x\in D if x is odd then x> 0

Here only even numbers are less than 0 that means the statement is true.

\forall x\in D if x is odd then x> 0 is true statement.

Part (B) \forall x\in D if x is less than 0 then x is even.

Here only even numbers are less than 0 that means the statement is true.

\forall x\in D if x is odd then x> 0 is true statement.

Part (C) \forall x\in D if x is even then x≤0

Here we can see that 16, 26, 32, 36 are even number and also greater than 0. Thus the statement is false.

\forall x\in D if x is even then x≤0 is false statement.

Part (D) \forall x\in D If the ones digit of x is 2, then the tens digit is 3 or 4.

There is only one number whose ones digit is 2. i.e. 32 also the tens digit of the number 32 is 3. Which makes the above statement true.

\forall x\in D If the ones digit of x is 2, then the tens digit is 3 or 4 is true statement.

Part (E) \forall x\in D if the ones digit of x is 6, then the tens digit is 1 or 2.

Numbers having ones digit 6 are: 16, 26 and 36

Here, the tens digits are 1, 2 and 3 which is contradict to our statement. Hence the provided statement is false.

\forall x\in D if the ones digit of x is 6, then the tens digit is 1 or 2 is false statement.

8 0
3 years ago
Jayla recently accepted a new job earning $15.50 per hour. Last month, Jayla earned $2294 after four weeks of work. How many hou
Alona [7]
15.50h = 2294
h= 148 hours

4w = 148

w= 37 hours each week


5 0
3 years ago
Other questions:
  • Solve the following equation <br> 2/7x + 2 =<br> 6
    6·1 answer
  • What is the missing number in the line 415,418,423,427,430
    11·1 answer
  • Need an answer now please
    12·1 answer
  • for two functions, a(x) and b(x), a statement is made that a(x) = b(x) at x=2. what is definitely true about x=2
    14·2 answers
  • What is 1/100,000,000 as a power of 10
    15·1 answer
  • A meteorologist forecasted that Monday's hight temperature would be 76F. On Monday, the temperature reached 80F. What is the per
    13·1 answer
  • Those are my choices pls tell me which one would fit this problem!! <br>THERES A PIC ATTACHED
    5·1 answer
  • Which statements about experimental probability are true? Check all that apply.
    12·2 answers
  • The cost of 7 scarves is $50.75. What is the unit price? The unit price is $ per scarf.
    5·1 answer
  • Please help me asap with explanation please ​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!