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
Anna007 [38]
3 years ago
15

The area of a trapezoid is 60 square inches. One of the bases is 8 inches long. The height is 6 inches long. What is the length

of the second base?
Mathematics
1 answer:
Mashcka [7]3 years ago
6 0

Answer:

12 in

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h(b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases

Given h = 6, b₁ = 8 and A = 60 , then

\frac{1}{2} × 6 × (8 + b₂ ) = 60 , that is

3(8 + b₂ ) = 60 ( divide both sides by 3 )

8 + b₂ = 20 ( subtract 8 from both sides )

b₂ = 12

The length of the second base is 12 inches

You might be interested in
A storage tank holds 235,500 in^3 of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical container
ololo11 [35]
Volume of a cylinder is given by V = πr^2h

Since the content of the storage tank completely filled the 25 identical cylinders, this means that the volume of the 25 cylinders combined is equal to the volume of the storage tank.

25(πr^2h) = 235,500
πr^2h = 235,500/25 = 9,420
h = 9,420/(3.14 x 5^2) = 9,420/78.5 = 120.

Therefore, the height of the cylinderical containers is 120 in
8 0
3 years ago
Read 2 more answers
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April,
SSSSS [86.1K]

Answer:

Step-by-step explanation:

a) H0: \bar x = 24.57

Ha: \bar x \neq 24.57

(Two tailed test at 5% significance level)

b) n=30

Mean difference = 23.89-24.57 = - 0.68

Std error of mean = \frac{s}{\sqrt{n} } \\=\frac{2.40}{\sqrt{30} } \\=0.4382

b) Test statistic t = mean diff/std error = -1.552

df = 30-1 =29

p value=0.0657

c) Since p > 0.05 our signi. level, we accept null hypothesis.

There is no significant difference between the means.

d) Using critical value we find that test statistic is > critical value left

So accept H0

8 0
3 years ago
Lisa's penny bank is
Bingel [31]
1200 pennies!!!!!!!!!
8 0
3 years ago
Can someone help me with this math homework please!
Cerrena [4.2K]

Therefore, f(c) = 3c+5

OPTION B is the correct answer

5 0
3 years ago
Read 2 more answers
Giving brainliest! Please show the working out
tiny-mole [99]

Answer:

see explanation

Step-by-step explanation:

(a)

OC = OB ( both radii of the circle )

Thus Δ BOC is isosceles with congruent base angles.

∠ BOC = ∠ BCO = 50°

(b)

∠ ACB = 90° ( angle in a semicircle ), then

∠ ACO = 90° - 50° = 40°

OA = OC ( both radii of the circle )

Thus Δ ACO is isosceles with congruent base angles.

∠ BAC = ∠ ACO = 40°

7 0
3 years ago
Other questions:
  • Selena's family went on a trip. The total hotel bill was $659 . The cost of the airfare was $633. use mental math to find the to
    8·2 answers
  • you are making a picture frame in your shop class. two peices of wood are cut to form complementary angles so they fit fit toget
    7·1 answer
  • When dividing fractions, the divisor must be inverted then multiplied with the other fraction?
    8·1 answer
  • Is x=-1.8 vertical, horizontal, or neither
    8·1 answer
  • Can someone help me with this please and explain how they got the answer, please and thank you!
    8·2 answers
  • 34 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 25.9 pounds and a
    5·1 answer
  • Keiko must choose a number between 49 and 95 that is a multiple of 5,8, and 10?
    6·1 answer
  • Two random samples were taken to determine how often people in a community listen to the local radio station each month.
    14·1 answer
  • 1000 in scientific notation.
    9·1 answer
  • If a store is selling 3 bottles of water for $3.24. how much would 8 bottles of water cost
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!