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
Vinil7 [7]
3 years ago
13

The area of a trapezium is 360 cm² and its height is 18 cm. If one of the parallel sides is longer than the other by 6 cm, then

the two parallel sides are.
Mathematics
1 answer:
Leokris [45]3 years ago
8 0

Answer:

The two parallel sides a and b are 17 cm and 23 cm respectively

Step-by-step explanation:

Area of a trapezium = {(a+b)/2} h

Where

h = height = 18 cm

a = parallel side 1 = x

b = parallel side 2 = x + 6

Area of a trapezium = {(a+b)/2} h

360 = {(x + x + 6) / 2} 18

360 = { (2x + 6) / 2} 18

360 = (2x + 6) 9

360 = 18x + 54

Subtract 54 from both sides

360 - 54 = 18x

306 = 18x

Divide both sides by 18

x = 306 / 18

= 17

x = 17 cm

a = parallel side 1 = x

x = 17 cm

b = parallel side 2 = x + 6

x + 6

= 17 + 6

= 23 cm

You might be interested in
Water flows at a rate of 8000 cubic inches per minute into a cylindrical tank. The tank has a diameter of 128 inches and a heigh
beks73 [17]

Answer:

The height of the water = 6.2 in. to the nearest tenth

Step-by-step explanation:

∵ The rate of flows of water into the tank = 8000 in.³/min.

∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³

∵ The water take the shape of the tank

∴ The height of the water = volume of water ÷ Area of the base of the tank

∵ The tank is cylinder with diameter 128 in. and height 72 in.

∴ The area of the base of the tank = π(128/2)²

∴ The height of the water = \frac{80000}{\pi(64)^{2}}=6.2169899

∴ The height of the water = 6.2 in. to the nearest tenth

 

5 0
3 years ago
Math can you guys help me PLS
MissTica

Answer:

The surface area of the triangular prism is 84 square centimeters.

Step-by-step explanation:

The surface area of a figure is exactly what it means, the area of its outer surface or the added areas of each face that makes the figure.

Nets are a way to find surface area easier because it is an outline of the faces of the 3d figure.

But since we don’t have a net, we will just find the area of each face that forms this right triangular prism:

The two congruent triangular bases:

1/2 x 4 x 3 = 6 cm^2

6 x 2 = 12 cm^2

Lateral bottom rectangular face:

6 x 3 = 18 cm^2

Lateral to the right rectangular face:

5 x 6 = 30 cm^2

Lateral to the left rectangular face:

4 x 6 = 24 cm^2

Add up all the values:

12 + 18 + 30 + 24 = 84

The SA is 84 square centimeters

4 0
3 years ago
1. two lines meet at a point. set up and solve an equation to find the value of x
Nikolay [14]

Answer: 1) 57 degrees

2) 50 degrees

3) a- 58 degrees, b- 32 degrees

Step-by-step explanation:

78, 52, and the number inbetween = 180

if u find the inbetween number it will be vertically opposite to a

4 0
3 years ago
Find tan if sin theta= 1/4 and falls in Quadrant 2.
7nadin3 [17]
If sinα=1/4 and it is in q2 it means that the x coordinate is negative.

The triangle has a height of one and a hypotenuse of 4 so:

x=-√(4^2-1)

x=-√15

so tanα=-1/√15

tanα=-√(1/15)

tanα≈ -0.258


6 0
3 years ago
Read 2 more answers
Hey please help this is due today ​
Aleksandr [31]

Answer:

100

Step-by-step explanation:

Write in an equation:

4=4%x, then divide 4% from both sides, and then you get 100.

7 0
2 years ago
Read 2 more answers
Other questions:
  • Elene and abbi are in a race. Elene can run 3 meters per second and abbi can run 2 meters per second. Elene gives abbi a 10 mete
    10·1 answer
  • Write an equation of the line that passes through the points (-1,5) and (2,8)
    10·1 answer
  • A candy dish contains 30 jelly beans and 20 gumdrops. Ten candies are picked at random. What is the probability that 5 of the 10
    6·1 answer
  • What is the first term in the expansion (2x + 10y)15?
    12·2 answers
  • You can use the what of a quadratic equation to determine the number and type of solutions of the equation?
    10·1 answer
  • What is 48x2? Thanks!!!
    8·2 answers
  • Andrei loves to bake, and plum tarts are his specialty. Plums are on sale for $3.25 for 2 pounds at the farmer's market. At the
    10·2 answers
  • Find the number that makes the ratio equivalent to 1:8.<br> 7:__
    12·2 answers
  • Factor the expression using the GCF 18p + 26
    8·2 answers
  • In the United States, how many children under age 11 studied a language other than English in school
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!