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
Crazy boy [7]
3 years ago
14

A square pyramid has a height of 6 units and a volume of 70 units3. If a square prism has the same base area and volume as the s

quare pyramid, what is its height? 2 units 4 units 6 units 8 units
Mathematics
2 answers:
ozzi3 years ago
6 0

Answer:

2 units

Step-by-step explanation:

inysia [295]3 years ago
3 0

Answer:

The height is 2 units

Step-by-step explanation:

Find the area of the base of the square pyramid

we know that

The volume of the square pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the base and H is the height of the pyramid

we have

H=6\ units

V=70\ units^{3}

substitute in the formula and solve for B

70=\frac{1}{3}B(6)

B=70/2=35\ units^{2}

step 2

Find the height of the square prism

we know that

The volume of the square prism is equal to

V=Bh

where

B is the area of the base and h is the height of the prism

we have

B=35\ units^{2}

V=70\ units^{3}

substitute in the formula and solve for h

70=(35)h

h=2\ units

You might be interested in
An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and
Mashutka [201]

Answer:

\frac{1}{25} =0.04 (Unusual)

Step-by-step explanation:

1/5 for one drawing

1/5 chance to win once, if there is only one game.

Then multiply them together to get 1/25.

If you need in decimal form 1/25 = 0.04 (unusual)

8 0
3 years ago
Researchers estimate that 21.5% of men and 17% of women smoke. 70.2/100000 men develop lung cancer and 50.5/100000 women 90% of
marishachu [46]
All the probabilities are given for the three different scenarios in men and women: people who smoke, people who develop lung cancer, and people who develop lung cancer who are also smokers. Then, these are even classified in terms of gender.

But the final question only has to do with men who are smokers that develop lung cancer. So, I think all the other data are only there for the purpose of red herring. The answer is already there, but you just have to find it among the others. First, you ignore all the probabilities involving women because we only want the men. Then, you find the probability of men that have lung cancer being smokers. The answer is 90%.
5 0
3 years ago
Solve the following inequality: 2(x 1) – (–x 5) ≤ –18
8_murik_8 [283]
I hope this is correct



Simplifying (2x + -1)(x + -3) = 18 Reorder the terms: (-1 + 2x)(x + -3) = 18 Reorder the terms: (-1 + 2x)(-3 + x) = 18 Multiply (-1 + 2x) * (-3 + x) (-1(-3 + x) + 2x * (-3 + x)) = 18 ((-3 * -1 + x * -1) + 2x * (-3 + x)) = 18 ((3 + -1x) + 2x * (-3 + x)) = 18 (3 + -1x + (-3 * 2x + x * 2x)) = 18 (3 + -1x + (-6x + 2x2)) = 18 Combine like terms: -1x + -6x = -7x (3 + -7x + 2x2) = 18 Solving 3 + -7x + 2x2 = 18 Solving for variable 'x'. Reorder the terms: 3 + -18 + -7x + 2x2 = 18 + -18 Combine like terms: 3 + -18 = -15 -15 + -7x + 2x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -15 + -7x + 2x2 = 0 Factor a trinomial. (-3 + -2x)(5 + -1x) = 0
7 0
3 years ago
Read 2 more answers
A spirit shop outside the hockey stadium sells merchandise representing the three school districts that built the arena. the ent
almond37 [142]

Point E is where the statue should be placed.

<h3>What is called a triangle?</h3>
  • A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.
  • Triangles are three-sided shapes. The various kinds of triangles go by various names. The angles' size and the sides' length determine the type of triangle (corners). Equilateral, isosceles, and scalene triangles are the three varieties of triangles based on the length of the sides.
  • The triangle is most frequently seen in our daily lives on traffic signs. The signs are triangular in shape and equilateral, which means that all three of their sides are the same length and have the same angle.

At what point should the statue be:

The intersection of the doors to the arena, the spirit store, and the parking lot forms a triangle, with Point E in its center. The radius of the circumscribed circle will therefore equal the distance from the statue to each vertex, placing it at the same distance from all three landmarks.

Point E is where the statue should be placed.

To learn more about the Triangle, refer to:

brainly.com/question/17335144

#SPJ4

4 0
2 years ago
What does the x mean and what is the answer. The back ground info says nothing about the x so I’m confused. It’s algebra
sdas [7]
Pretty sure it’s a variable .
4 0
3 years ago
Other questions:
  • The sum of 23.8 and a number is 28.17, as shown below. What number should go in the box to complete the addition problem?
    9·2 answers
  • Evan buys a new car that costs $23,740. Anna buys the same car, but she buys the hybrid model for $31,140.
    12·1 answer
  • Manlly in<br> Its Graph<br> Which inequality is represented by the graph?
    6·1 answer
  • Simplify.<br><br> 1/3 <br> (-512)
    15·1 answer
  • A function is negative over the intervals
    12·1 answer
  • M is the midpoint of RS. R has coordinates (-2,-3) and M has coordinates (1,0). Find the coordinates of S.
    6·1 answer
  • Two vertical posts stand side by side. One post is 12 feet tall while the other is 19 feet tall. If a 27 foot wire is stretched
    8·1 answer
  • 24−(−37) please help me
    13·1 answer
  • Find the vertex of this quadratic
    14·1 answer
  • 4(2x + 3) ÷ 5y
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!