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
Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w
faltersainse [42]

40 x 5280 = 211200 feet per hour

211200 / 3600 = 58.666 = 59 feet per second

5 0
3 years ago
Suppose y varies directly with x, and y = -4 when x = 25. What is x when y = 10? SHOW ALL YOUR WORK HERE OR YOU WON'T GET CREDIT
Stolb23 [73]

Answer:

x = -62.5

Step-by-step explanation:

y = kx

-4 = k(25)

k = -4/25

y = (-4/25)x

10 = (-4/25)x

x = 10 × 25/-4

x = -62.5

6 0
3 years ago
9 squared divided by 3 cubed. Give expression in symbols and evaluate it? What is a exponential mot action with positive exponen
S_A_V [24]
There are numerous ways you can do this, but take a look at the attachment to see how I did it. I hope it answers your question! :)

7 0
3 years ago
Each gallon of paint covers 400 square feet. i have to paint one side of a wall that is 8 meters tall and 40 meters long. if a f
tresset_1 [31]
1. You have that:
 
 - Each gallon of paint covers 400 ft²<span>.
 - One side of a wall must be painted and its dimensions are :is 8 meters tall and 40 meters long.
 
 1 ft=0.3048 m
 1 ft</span>²=(0.3048 m)²=0.09290 m²
 
 2. Each gallon of paint covers 400 ft<span>², then:
</span> 
 400 ft²x<span>0.09290=37.16 m</span>²
 
 3. The area of one side of the wall is:
 
 A=8 mx40 m
 A=320 m²
 
 4. Therefore, you have:
 
 1 gallon-----37.16 m²
             x-----320 m²
 
 x=320x1/37.16
 x=8.61 gallons
 x≈9 gallons
 
 The answer is: 9 gallons
 
6 0
3 years ago
Please answer this thank you
exis [7]

Step-by-step explanation:

option 1

option 3

7 0
3 years ago
Other questions:
  • Mr.Richards' class is holding a canned food drive for charity. Juliet collected 10 more cans than Rosana. Santiago collected twi
    7·1 answer
  • A set of data collected to answer a statistical question has a distribution which can be described by its __________.
    7·2 answers
  • Y varies directly with x, and y=24 when x=-15. what is x when y=16? a) 10 b) -22.5 c) -10 d) -25.6
    12·1 answer
  • An extremely simple (and surely unreliable) weather prediction model would be one where days are of two types: sunny or rainy. A
    5·1 answer
  • X^3+48x-64-12x^2/x^2+16-8x
    14·2 answers
  • Please help questions are in the pictures!
    5·1 answer
  • Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
    6·2 answers
  • Glenn bought 3 pounds of tomatoes. He used § of them to make sauce.
    8·1 answer
  • Based on the diagram, which of the following represents the cosine of 70 degrees?
    5·2 answers
  • What is 7x10^-6? Will give brainliest!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!