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
Nutka1998 [239]
3 years ago
15

A right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume. What Statement

must be true about the two solids?

Mathematics
1 answer:
Eva8 [605]3 years ago
7 0
Check the picture.

The bases of the 2 prisms are on 2 parallel planes, a and b.

Let c be a third plane, between a and b, parallel to both.

Then, 

 the cross-sections A and B , of the 2 prisms, formed by plane c, have Equal Areas,

this is by Cavalier's Principle.

You might be interested in
A survey of 125 households was done to investigate whether households have laptops, tablets, or
riadik2000 [5.3K]

Answer:

3) 0.326

Step-by-step explanation:

Total Number of surveyed households =125

We want to determine the probability that a randomly selected household would have a laptop given that it does not  have a tablet.

Written in Probability notation: P(Laptop|No Tablet)

P(Laptop|No Tablet)=\dfrac{P(L\cap T')}{P(T')} \\=\dfrac{31/125}{95/125}\\=\dfrac{31}{95}\\\\=0.326

The correct option is C,

4 0
3 years ago
The area of a rug is represented by the following expression, z2 + 4x – 12 , which of the following expressions
ch4aika [34]

Answer:

Width = (x-2)

Step-by-step explanation:

The area of a rug is given by (x^2+4x-12)

The length of the rug is (x+6)

We need to find the width of the rug.

The area of a rug is given by :

A=lb\\\\x^2+4x-12=(x+6)b\\\\b=\dfrac{x^2+4x-12}{(x+6)}\\\\b=\dfrac{x^2+6x-2x-12}{(x+6)}\\\\b=\dfrac{x(x+6)-2(x+6)}{(x+6)}\\\\b=\dfrac{(x+6)(x-2)}{(x+6)}\\\\b=(x-2)

So, the width of the rug is (x-2). Hence, the correct option is (c).

3 0
2 years ago
Refer to the figure to complete the proportion A/C = Y/?
salantis [7]
Hello,
Please, see the attached file.
Thanks.

3 0
2 years ago
A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream. What is the rate of
nikitadnepr [17]
<h3>Rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr</h3><h3><u>Solution:</u></h3>

Given that,

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream

Therefore,

Upstream distance = 165 km

Upstream time = 3 hours

<h3><u>Find upstream speed:</u></h3>

speed = \frac{distance}{time}\\\\speed = \frac{165}{3}\\\\speed = 55

Thus upstream speed is 55 km per hour

Downstream distance = 510 km

Downstream time = 6 hours

<h3><u>Find downstream speed:</u></h3>

speed = \frac{510}{6}\\\\speed = 85

Thus downstream speed is 85 km per hour

<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then</u></em>

Speed downstream = u + v km/hr

Speed upstream = u - v km/hr

Therefore,

u + v = 85 ----- eqn 1

u - v = 55 ----- eqn 2

Solve both

Add them

u + v + u - v = 85 + 55

2u = 140

u = 70

<em><u>Substitute u = 70 in eqn 1</u></em>

70 + v = 85

v = 85 - 70

v = 15

Thus rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr

3 0
3 years ago
What is the square root of 89 rounded to the nearest hundredth?
NeTakaya
The square root of 89 routhe neasrest hundreth is 9.43
4 0
3 years ago
Other questions:
  • A linear model projects that the number of bachelor's degrees awarded in the United State will increase by 19,500 each year. In
    10·1 answer
  • A homeowner leans a ladder against his house so that the top of the ladder makes a 31 degree angle with the house. What angle do
    5·1 answer
  • Jolie uses 2 tomatoes every day to prepare her salad. If n equals the number of tomatoes Jolie had before she made her salad and
    15·2 answers
  • Which is NOT a valid rearrangement of: g = 4 a - 1
    6·2 answers
  • Help with algebra,_,
    7·1 answer
  • Find the average rate of change.<br><br> p(x) = 6x + 7 on [2, 2 + h] , h ≠ 0
    10·1 answer
  • Which digits repeat in the decimal number 28.1543
    15·2 answers
  • Janice has car insurance that she must pay four times a year. If each payment is $156, how much money should she set aside each
    9·2 answers
  • How can you identify the y intercept on a graph?
    13·1 answer
  • If you get this you will get 30 points 2•2•2•2=
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!