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
True [87]
2 years ago
12

A triangular prism has base edges 3 cm, 5 cm, and 7 cm long. Its lateral area is 285 cm? What is the height of the prism?

Mathematics
1 answer:
sergeinik [125]2 years ago
5 0

Answer:

The height is 24 centimeters

Step-by-step explanation:

The perimeter of the triangle base is P = a+b+c = 4+6+7 = 17 cm long.

The lateral surface area (abbreviated LSA) of any prism can be found using this formula

LSA = P*h

where P is the perimeter along the base and h is the height of the prism.

We're given the lateral area of 408, so LSA = 408.

Let's use that LSA value, along with P = 17 as well to solve for h.

LSA = P*h

408 = 17*h

408/17 = 17*h/17

24 = h

h = 24

You might be interested in
Write the equation of the line through the points (2, 3) and (-5, 4).?
quester [9]

Answer:

y= -1/7x+23/7

Step-by-step explanation:

3 0
3 years ago
Solve fast answer gets brain and its 30 points ty
Vlad1618 [11]

Answer:

74

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help please hurry im stupid :'( will mark brainlyest
bixtya [17]
19.) Least to greatest:
Luxembourg
Singapore
Australia
Egypt
Brazil
5 0
2 years ago
Which equation has a solution of x = 13?
aniked [119]

Answer: x-10=3

Step-by-step explanation:

The answer is b or, if it shows different its the second option x-10=3

Got it right on edge 100%

Hope I helped.

3 0
3 years ago
Read 2 more answers
Solve the system: <br> 2x+6y=36<br> x+4y=20
Assoli18 [71]

<u>Let's solve this problem step-by-step</u>

<u>Let's set</u>:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

   x = 20 - 8

   x = 12

<u>Thus x = 12 and y = 2</u>

<u>Let's check, by substituting these values</u>

  2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20

<u>Answer: x = 12 and y = 2</u>

Hope that helps!

5 0
2 years ago
Other questions:
  • A monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high by 11 meters long. The longest
    10·1 answer
  • Does anyone know im not sure lol
    10·2 answers
  • Morgan &amp; Rachel need gas for their jeep, which gets 21 miles per gallon for gas mileage. When she stops at the gas station,
    13·1 answer
  • Picture is question boys
    8·1 answer
  • 50 point to the person that can answer this:
    12·1 answer
  • A farmer had 140 eggs he sold 45% of them how many eggs did he sell
    6·2 answers
  • Simplify the expression.<br><br>(n^7)^2<br><br>a. n^9<br><br>b. n^49<br><br>c.n^14<br><br>d.2n^14
    6·2 answers
  • If m∠ QOS=58, m∠ POR=61, and m∠ POQ=22 what is m∠ ROS
    5·1 answer
  • In a plane, if a line is _____ to one of two parallel lines, then it is perpendicular to the other.
    9·1 answer
  • Conjecture help? I need one!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!