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
Vesnalui [34]
3 years ago
13

An oblique prism is created using rhombuses with edge lengths of 25 units. The area of one rhombus is 600 sq units. The perpendi

cular distance between the bases is 24 units. What is the volume of the prism?

Mathematics
2 answers:
Anna11 [10]3 years ago
8 0

Check the picture below.

let's recall Cavalieri's principle, that solids with equal altitudes and identitical cross-sectional areas at each part all the way up, have the same volume.

so, for a prism like this that is not oblique, with rhombic bases of area 600 and a height/altitude of 24, the volume will simply be the base * height, 600 * 24 = 14400.

well, based on Cavalieri's principle, an oblique one will also have the same volume.

nata0808 [166]3 years ago
6 0

Answer:

The volume of the prism is 14400 units³.

Step-by-step explanation:

It is given that an oblique prism is created using rhombuses with edge lengths of 25 units.

The volume of a prism is

V=B\times h                   ..... (1)

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

It is given that the area of one rhombus is 600 sq units. The perpendicular distance between the bases is 24 units.

Substitute B=600 and h=24 in equation (1) to find the volume of the prism.

V=600\times 24

V=14400

Therefore the volume of the prism is 14400 units³.

You might be interested in
A rectangle has a length of 3.6 in, and a perimeter of 16.8 in.
zhannawk [14.2K]

Answer:

Width = 4.8 inches

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

P=2l+2w

Where

P is perimeter

l is length

w is width

Given length = 3.6 and perimeter = 16.8, we plug them in into the formula and figure out the width, w. Process shown below:

P=2l+2w\\16.8=2(3.6)+2w\\16.8=7.2+2w\\16.8-7.2=2w\\9.6=2w\\w=\frac{9.6}{2}\\w=4.8

Hence, the width is 4.8 inches

3 0
3 years ago
Which of the following terms can be combined in this expression? -13 - x/5 + 6.2y + 20.5x - 3/8y
dsp73
C. 6.2g can be combined with -3/8y. This is because they both end in ‘y’.
3 0
3 years ago
Read 2 more answers
−3(y+5)=15 someone please help me with this question my assignment is already late
AnnyKZ [126]

Answer: -10

Step-by-step explanation:

Simplifying

-3(y + 5) = 15

Reorder the terms:

-3(5 + y) = 15

(5 * -3 + y * -3) = 15

(-15 + -3y) = 15

Solving

-15 + -3y = 15

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + -3y = 15 + 15

Combine like terms: -15 + 15 = 0

0 + -3y = 15 + 15

-3y = 15 + 15

Combine like terms: 15 + 15 = 30

-3y = 30

Divide each side by '-3'.

y = -10

Simplifying

3 0
2 years ago
The weight of tigers follow a normal distribution with a mean of 220 kg and a SD of 30 kg. 1) If we randomly select a tiger, wha
mylen [45]

Answer:

0.89736

Step-by-step explanation:

We solve this question using z score formula

Z score = x - μ/σ

x = raw score

μ = population mean

σ = population standard deviation

Hence,

x = 258, μ = 220, σ = 30

Z = 258 - 220/30

=1.26667

Probability value from Z-Table:

P(x<258) = 0.89736

Therefore, the probability that his weights is less than 258 kg is 0.89736

6 0
3 years ago
G(n) = 4n +4<br> h(n) = n +5<br> Find (g- h) (9)
Vinil7 [7]

Answer:

3n-1

Step-by-step explanation:

(4n+4) - (n+5)

i sperate it to be

4n-n and 4-5

so

3n-1 should be it

5 0
3 years ago
Other questions:
  • The entertainment committee at Maplecrest Junior High School has narrowed down the theme of the Spring Dance to three choices. T
    15·2 answers
  • How many 1/3 are there between 0 and 1 on a number line? How do you know?
    11·1 answer
  • A function g is an odd function. if g(-3)=4, which of the points lie on the graph of g? a. (3,-4)
    15·2 answers
  • I need help on this question
    10·1 answer
  • Kenneth did of 1/3 of his laundry on Sunday and 7/15 of his laundry on monday. what fraction of laundry did kenneth do in total?
    10·2 answers
  • Jacob distributed a survey to his fellow students asking them how many hours they'd spent playing sports in the past day. He als
    13·2 answers
  • In OE, m overline HQ =48,HI=JK , and JR = 7.5 . Find each measure. 1. m overline HI 2. m overline QI E AK 3. m overline JK 4. HI
    6·1 answer
  • Helpppppppppppppopppppp
    12·1 answer
  • What can those engaged in politics from both parties learn about the Constitution from the debate over the Bill of Rights?
    12·1 answer
  • Find The Domain Find the Value
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!