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
OleMash [197]
3 years ago
6

The volume of this triangular prism is 247.5 cubic inches. What is the value of t?

Mathematics
2 answers:
elixir [45]3 years ago
8 0

Volume of a triangle is 1/2 base x height x length.

Using the given information we can find t:

247.5 = 1/2(5)(t)(11)

Simplify:

247.5 = 2.5(t)(11)

247.5 = 27.5t

Divide both sides by 27.5:

t = 247.5 / 27.5

t = 9

Oduvanchick [21]3 years ago
3 0

Answer:

<h2>t = 9in</h2>

Step-by-step explanation:

The formula of a volume of a prism:

V=BH

<em>B</em><em> - area of a base</em>

<em>H</em><em> - height</em>

In the base is the triangle.

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

We have <em>V = 247.5 in³, b = 5 in, H = 11 in</em> and <em>h = t</em>.

Therefore:

B=\dfrac{5t}{2}

Put them to the formula of a volume:

247.5=\left(\dfrac{5t}{2}\right)(11)

247.5=\dfrac{55t}{2}

247.5=27.5t              <em>divide both sides by 27.5</em>

9=t\to t=9\ in

You might be interested in
If a man walks 150m down the street, stops to ask for directions, then walks 1 point
Komok [63]
180, is the answer because when I had a question like that you have to add
5 0
3 years ago
Please help me with this one thanks
nikdorinn [45]

Answer:

548.96$ pretty certain


3 0
3 years ago
Find the two correct values of x in the equation 3x² = y when y = 75.​
valentina_108 [34]

Answer:

5 and -5

Step-by-step explanation:

3x² = 75

x² = 75/3

x² = √25

x = 5 and - 5

3 0
2 years ago
HELP I NEED HELP ASAP
My name is Ann [436]

Answer: is C

Step-by-step explanation:

7 0
3 years ago
A volcano erupted
IgorC [24]
Percentage decrease = d
h1 = 2950
h2 = 2550

d/100 = (h2-h1)/h1

d/100 = (2950-2550)/2950
d=13.56
3 0
3 years ago
Other questions:
  • Ted used a $150 check to pay for some books. Where in his checkbook register should he write this amount?
    7·1 answer
  • If the probability of surviving in a head on car accident is 0.012 at 55 mph. Then what is the probability of not surviving?
    12·1 answer
  • Whats the answers to 1 and 2 please help me. ​
    14·1 answer
  • IF ONE THIRD OF THE SCHOOL STUDENTS LIKE MATHEMATICS AND 400 STUDENTS DO NOT LIKE MATHEMATICS , THEN HOW MANY STUDENTS DOES THE
    6·1 answer
  • E =mc^2 , solve for m
    9·1 answer
  • Which quadrant will the line y=Negative one-fourthx – 15 never pass through?
    7·1 answer
  • Write the equation in slope-intercept form.<br> 6x – 3y = -18
    11·1 answer
  • (3_4sin²a) (sec²_4tan²a) =(3-tan²a)(1-4sin²a)<br>​
    10·1 answer
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    13·1 answer
  • Se quieren llenar 100 botellas de agua con una capacidad de 1/4lt ¿cuantos litros de agua son necesarias?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!