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
The friendly sausage factory (fsf) can produce hot dogs at a rate of 5,000 per day. fsf supplies hot dogs to local restaurants a
juin [17]

Answer:

a. 21 327 hot dogs/run

b. 70 runs/yr

c. 4 da/run

Step-by-step explanation:

Data:

Production rate (p)           = 5000/da

Usage rate (u)                  =    260/da

Setup cost (S)                   = $66

Annual carrying cost (H) = $0.45/hot dog

Production days (d)         = 294 da

Calculations:

a. Optimal run size

(i) Annual demand (D) = pd = (5000 hot dogs/1 day) × (294 days/1 yr)

= 1 470 000 hot dogs/yr

(ii) Economic run size

Q_{0}= \sqrt{\frac{2DS }{ h}\times\frac{ p}{p-u }}

= \sqrt{\frac{2\times1470000\times66 }{ 0.45}\times\frac{ 5000}{5000-260 }}

= \sqrt{431200000\times\frac{ 5000}{4740 }}

= \sqrt{454852321}

= 21 327 hot dogs/run

b. Number of runs per year

Runs = D/Q₀ = (1 470 000 hot dogs/1yr) × (1 run/21 327 hotdogs)

= 70 runs/yr

c. Length of a run

Length = Q₀/p = (21 327 hot dogs/1 run) × (1 da/5000 hot dogs)

= 4 da/run

8 0
3 years ago
Martin walks 4 times a week for 2/3 mile each
Monica [59]

Answer:what's the question?

Step-by-step explanation:

4 0
4 years ago
PLEASE HELP! I WILL MARK TOU AS BRAINLEIST!
san4es73 [151]

Answer:

a.Z(-2,1)

b.Z(1,1)

c.Z(-3,2)

Step-by-step explanation:

z(-2,3)

Imagine this point on a graph.

Translate it down two units :

the x stays -2, by going down the y decreases 2 so 3-2=1

Z(-2,1)

Translate Right three units : I'm assuming that we use the answer from the first translation

Z(-2,1)

The y doesn't change this time the x increases 3 since we're moving to the right.

Z(1,1)

Translate up 1 and left 4:

Z(1,1)

by moving up one we have Z(1,2) then by moving 4 to the left we get Z(-3,2)

Hope this helps :)

6 0
3 years ago
Read 2 more answers
Alexander is going to buy a stereo from his older brother with $93 he will pay him an equal amount of money each month for 12 mo
jenyasd209 [6]

Your answer would be B.

Step-by-step explanation:

$93 / 12 = $7.75

7 0
4 years ago
Find the volume of the pyramid shown.
chubhunter [2.5K]

The volume of the pyramid is 40cm^{3}.

Explanation

The volume of the pyramid is determined by its base area and the height.

Given that

The base of the pyramid given in the problem is a rectangle

length of the base= 5 cm

breadth of the base=4 cm

base area A= length*breadth(area of rectangle)

=4*5=20 cm^{2}

height of the pyramid h=6 cm

volume of the pyramid=1/3 Ah

=1/3 *20*6=40cm^{3}

7 0
3 years ago
Other questions:
  • A man saved N48 000 with a cooperative
    7·1 answer
  • NEED HELP!
    11·1 answer
  • What is the next term In the sequence? 1, 4, 9, 16, __
    10·2 answers
  • The two lines below intersect as shown what the value of x (2x+29) (9x-13)
    15·1 answer
  • [6x(10-7)-4]•7 please show work :/
    11·2 answers
  • The income of a computer analyst varies directly as the number of hours worked. If the analyst earned $256 for working 8 hours,
    7·1 answer
  • What is the value of the expression below? |6| + |-4|​
    11·2 answers
  • What is surface area of <br><br>​
    9·1 answer
  • Brainliest if righttt
    11·2 answers
  • The power company routes its lines as shown in the illustration. How much wire ( in yards) could be saved by going directly from
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!