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
Kruka [31]
3 years ago
14

The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of

the other base?​
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
5 0

The area <em>A</em> of a trapezoid with height <em>h</em> and bases <em>b</em>₁ and <em>b</em>₂ is equal to the average of the bases times the height:

<em>A</em> = (<em>b</em>₁ + <em>b</em>₂) <em>h</em> / 2

We're given <em>A</em> = 864, <em>h</em> = 24, and one of the bases has length 30, so

864 = (<em>b</em>₁ + 30) 24 / 2

864 = (<em>b</em>₁ + 30) 12

864 = (<em>b</em>₁ + 30) 12

72 = <em>b</em>₁ + 30

<em>b</em>₁ = 42

You might be interested in
13 plus 5 times a number is no more than 30
omeli [17]
From what I'm reading from this question, there's one answer.

13 + 5 * 1 = 18 

Unless maybe I'm missing something?
5 0
3 years ago
Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse
Drupady [299]

Answer:

a'(d) = \frac{d}{5} + \frac{3}{5}

a(a'(d)) = a'(a(d)) = d

Step-by-step explanation:

Given

a(d) = 5d - 3

Solving (a): Write as inverse function

a(d) = 5d - 3

Represent a(d) as y

y = 5d - 3

Swap positions of d and y

d = 5y - 3

Make y the subject

5y = d + 3

y = \frac{d}{5} + \frac{3}{5}

Replace y with a'(d)

a'(d) = \frac{d}{5} + \frac{3}{5}

Prove that a(d) and a'(d) are inverse functions

a'(d) = \frac{d}{5} + \frac{3}{5} and a(d) = 5d - 3

To do this, we prove that:

a(a'(d)) = a'(a(d)) = d

Solving for a(a'(d))

a(a'(d))  = a(\frac{d}{5} + \frac{3}{5})

Substitute \frac{d}{5} + \frac{3}{5} for d in  a(d) = 5d - 3

a(a'(d))  = 5(\frac{d}{5} + \frac{3}{5}) - 3

a(a'(d))  = \frac{5d}{5} + \frac{15}{5} - 3

a(a'(d))  = d + 3 - 3

a(a'(d))  = d

Solving for: a'(a(d))

a'(a(d)) = a'(5d - 3)

Substitute 5d - 3 for d in a'(d) = \frac{d}{5} + \frac{3}{5}

a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}

Add fractions

a'(a(d)) = \frac{5d - 3+3}{5}

a'(a(d)) = \frac{5d}{5}

a'(a(d)) = d

Hence:

a(a'(d)) = a'(a(d)) = d

7 0
2 years ago
Let f(x)=x^3 and g(x)= √x, and h(x)=x/3. Find each of the following: f(g(h(6)))
rewona [7]

Answer:

go from inside out.

h(x)=x/3

(\sqrt{2})^{3}=> h(6) = 6/3 = 2

g(x) = \sqrt{x}

=> g(h(6)) = g(2) = \sqrt{2}

f(x) = x^{3}

=> f(g(h(6))) = f(\sqrt{2} ) = (\sqrt{2} )^{3}

6 0
3 years ago
PLEASE HELP I NEED SOMEBODY TO PARAPHRASE THIS FOR ME! I'LL MARK BRAINLIEST!! 50 POINTS!!!
Mrrafil [7]
3x + 4 = 2x + 2
3x - 2x = 2 - 4
x = -2
one solution
3 0
3 years ago
Read 2 more answers
A bag of trail mix weighs 2 pounds. By weight, 18% is oats. Write a percent proportion to find weight of oats in mix
inysia [295]
2 pounds  ---- 100%
x pounds -----18%
x=(2*18)/100=36/100=0.36 pounds
8 0
3 years ago
Read 2 more answers
Other questions:
  • 1) 9 + 2h - 16<br> -7 + 2h
    8·2 answers
  • A rectangle is no more than six inches wide, and its perimeter measures 28 inches. At least how long is the rectangle?
    5·1 answer
  • Please hurry it’s urgent
    9·2 answers
  • What is the answer to this question? Please help!
    5·2 answers
  • Solve for x7(x 2) (x 5)44O -16
    14·1 answer
  • The two pictures are the questions and question five is what i need help with.
    11·2 answers
  • Tom has a 500 gallon pool. He is able to drain it at a rate of 15 gallons per minute.  if the pool still has 170 gallons of wa
    15·1 answer
  • Find the missing ANGLE <br><br> Someone plsss helpppp!!! I’ll give brainliest!!! :(((
    8·1 answer
  • It takes teccance 5 minutes to read 1 pages. Of terrance read for about an hour estimate how many pages he should read
    15·2 answers
  • N − 9.02 = 3.85<br> what is N?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!