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
MArishka [77]
3 years ago
13

A triangular prism is shown below. the base of the prism is a right triangle.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
6 0
The product is 60.

We start out with the information we have.  This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30.  Using the Pythagorean theorem we have

x²+24²=30²
x²+576=900

Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324

Take the square root of each side:
√x²=√324
x=18

We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:

720=(1/2*18*24)y
720=216y

Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y

This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60
You might be interested in
What is the answer to -12= -2x-4x
Eddi Din [679]

Answer:

x = 2

Step-by-step explanation:

-12 = -2x - 4x

-12 = - 6x

x = -12/(-6) = 2

7 0
3 years ago
Read 2 more answers
The area of a square boxing ring is 484 (feet squared). What is the perimeter of the boxing ring?
VARVARA [1.3K]
88 feet

<span>√</span>484=22
Perimeter is l+l+l+l
22+22+22+22=88
7 0
3 years ago
Read 2 more answers
A person travelled 9 hours a day what percentage of the day was spent on this journey​
Galina-37 [17]

Answer:

37.5%

Step-by-step explanation:

one day has 24 hours

100%->24

1%->0.24

9÷0.24 = 37.5%

7 0
3 years ago
Read 2 more answers
1,15,29,43 formula sequence
irga5000 [103]
All you’re doing is adding 14 to each
1+14=15
15+14=29
29+14=42
can i get brainliest answer ?
6 0
2 years ago
Read 2 more answers
What is the slope intercept form of 10x + 2y =8
antoniya [11.8K]

Slope intercept form is: y = mx + b


Isolate the y. First subtract 10x from both sides


10x (-10x) + 2y = 8 (-10x)


2y = -10x + 8


Isolate the y. Divide 2 from both sides and <em>all</em> terms.


(2y)/2 = (-10x + 8)/2


y = -5x + 4


y = -5x + 4 is your slope intercept form answer.



hope this helps

7 0
3 years ago
Other questions:
  • How do i find out what is 5% of 30
    14·2 answers
  • guys I really need help with part c) I literally have no idea how to this. given that tan(pi/8)=sqrt(2)-1. I am really looking f
    10·2 answers
  • I need to know where to plot the points on the graph <br><br>30 points
    10·1 answer
  • Can someone help me with this question
    8·1 answer
  • Write the quadratic question f(x)=3x^2-24x+49 in the form of f(x)= a(x-h)^2+k
    13·1 answer
  • (03.07)
    15·2 answers
  • I'm not sure if 1 is the correct answer
    11·1 answer
  • Y=4x – 10y=2
    14·1 answer
  • Solve for x.<br><br> + 1 = 3<br><br> x = 1 <br> x = 2 <br> x = 3<br> x = 6
    7·2 answers
  • What are the digits in the hundred thousands and tens place in 724810?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!