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
BabaBlast [244]
3 years ago
7

A right prism has a volume of 65 cubic inches. The prism is enlarged so its height is increased by a factor of 20, but the other

dimensions do not change. What is the new volume? A.1000 in .3 B.1300 in .3 C.1200 in. 3 D. 1100 in.3
Mathematics
1 answer:
Helga [31]3 years ago
8 0

Answer:

Volume of a right prism = 65 cubic inches

Its height is increased by a factor of 20.

To find:

The new volume of the prism if the other dimensions do not change.

Solution:

The volume of a prism is:

Volume=Bh

Where, B is the base area and h is the height.

A right prism has a volume of 65 cubic inches.

65=Bh

The height of prism is increased by a factor of 20. So, the new volume is:

Volume=B(20h)

Volume=20(Bh)

Volume=20(65)

Volume=1300

The volume of the new prism is 1300 in³.

Therefore, the correct option is B.

You might be interested in
During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60 ÷ 5 in this problem *
sergeinik [125]

Answer:

    x=12 groups

This will give 5 Students each in 12 different equally sized groups

    x'=5groups

This also shows that students can grouped in equal groups of 12 in 5 places

Step-by-step explanation:

From the question we are told that

60 children in equal sized groups

Generally interpreting 60\div 5 can be mathematically represented as

a)

    x=\frac{60}{5}

    x=12 groups

This will give 5 Students each in 12 different equally sized groups

b)

    x'=\frac{60}{12}

    x'=5groups

This also shows that students can grouped in equal groups of 12 in 5 places

6 0
3 years ago
What is an equation in slope-intercept form of the line that passes through (6, 10) and is parallel to the graph of y=13 x−1 ?
nadezda [96]
10=13(6)+b
10=78+b
b=-68
y=13x-68
7 0
3 years ago
Find the general solution to 3y′′+12y=0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants
lozanna [386]

Answer:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

Step-by-step explanation:

You have the following differential equation:

3y''+12y=0     (1)

In order to find the solution to the equation, you can use the method of the characteristic polynomial.

The characteristic polynomial of the given differential equation is:

3m^2+12=0\\\\m^2=-\frac{12}{3}=-4\\\\m_{1,2}=\pm2\sqrt{-1}=\pm2i

The solution of the differential equation is:

y(x)=c_1e^{m_1x}+c_2e^{m_2x}   (2)

where m1 and m2 are the roots of the characteristic polynomial.

You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

4 0
3 years ago
How could i write 2.7 on a number line?
Viefleur [7K]
There tried too draw it out of you

3 0
3 years ago
Solve for t: 4n = 2(t-3)
spayn [35]
T=2n+3
considering n has no other values given
3 0
3 years ago
Other questions:
  • How is the sum expressed in sigma notation?<br><br> 1/64+1/16+1/4+1+4
    6·1 answer
  • Alexis divided 1 3/4 pound bag of apples among her 3 friends how many pounds of apples does each friend get
    11·1 answer
  • A triangular bookself has a base of 10 inches,12 inches and 18 inches. Will the bookself fit in the corner of a square living ro
    15·1 answer
  • What is the answer to 2 x 2
    5·1 answer
  • In the diagram below P is circumscribed about quadrilateral ABCD? What is the value of X? PLS HELP
    8·2 answers
  • Find the arc length of the curve <img src="https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B8%7D%20y%20%7B4%7D%20%2B%20%5Cfrac
    15·1 answer
  • Is the gcf of a pair of numbers ever equal to one of the numbers
    13·1 answer
  • I need to know whether the relation is a function.
    12·1 answer
  • Car X travels 144 miles in 3 hours.
    5·1 answer
  • 38 points please help I will give bairnleast
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!