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
melomori [17]
3 years ago
7

The height of a trapezoid is 6 in. And its area is 48 in2. One base of the trapezoid is 6 inches longer than the other base. Wha

t are the lengths of the bases? Complete the explanation of how you found your answer.
Mathematics
1 answer:
omeli [17]3 years ago
4 0

Answer:

  • 5 in
  • 11 in

Step-by-step explanation:

Let x represent the length of the shorter base in inches. Then the longer base has length x+6. The area of the trapezoid is given by the formula ...

  A = (1/2)(b1 +b2)h

Filling in the values we know, we have ...

  48 = (1/2)(x +(x+6))(6)

  16 = 2x +6 . . . . . divide by 3

  10 = 2x . . . . . . . . subtract 6

  5 = x . . . . . . . . . . divide by 2

  (x+6) = 11 . . . . . . find the longer base

The lengths of the bases are 5 inches and 11 inches. We found them by solving an equation relating area to base length.

You might be interested in
Help me please
CaHeK987 [17]
I need points so I can ask my question hope you get your answer
3 0
3 years ago
4 1/6x6 simplest form neeeeeeeeeeeeeeeeeeed help plzzzzzzzzzzzz
qwelly [4]

Answer:25

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
There are 18 people on a basketball team, and the coach needs to choose 5 to put into
olganol [36]

Answer:

He can choose by each players skill and depending on how long the game is he can sub them out throughout the game

Step-by-step explanation:

4 0
3 years ago
The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the fi
Thepotemich [5.8K]

Answer:

second term: 9

4th term:81

(3rd \: term)^{2}  = 9 \times 81

=729

\sqrt{729}  = 27

3rd term=27

{9}^{2}  = a1x27 \\ 81 = 27a1

a1=3 the first term

81 = 3 \times {q}^{3}

{q}^{3}  = 27

q=3

s = 3x \frac{1 -  {3}^{5} }{1 - 3}  = 364.5

5 0
3 years ago
I have no idea what to do I missed an entire lesson while I was in the hospital. Help please. I need to show my work as well.
Vlada [557]

Answer:

55

Step-by-step explanation:

\sqrt[3]{\frac{n}{4} } +\frac{n}{10} \\\\\sqrt[3]{\frac{500}{4} } +\frac{500}{10}\\\\\sqrt[3]{125} +50\\5+50\\55

3 0
3 years ago
Other questions:
  • 10) Which diagram represents the figure with the greatest volume?
    11·1 answer
  • Identify the equivalent trigonometric values. A sin 17°, cos 17° B cos 29°, sin 61° C sin 78°, cos 102° D cos 83°, cos 7°
    10·1 answer
  • Re-write the quadratic function below in Standard Form<br> y = 7(x - 1)(x – 6)
    6·1 answer
  • Answer please?? 50+40+10=
    6·2 answers
  • As part of summer camp, Henry goes on a treasure hunt. He starts at the base of a tree and walks 180 feet due north. He then tur
    12·1 answer
  • Can someone please help me solve this problem
    13·1 answer
  • 6+7=10<br>13+8=18<br>32+21=32<br>11+34=0<br>31+03=?​<br>process please
    7·1 answer
  • Which of the following rational function is graphed below?​
    9·1 answer
  • All I’m asking for is help on this I’m having a hard time please help me .. :
    11·1 answer
  • Pls pls pls help me
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!