A trapezoid has a height of 3 meters, a base length of 8 meters, and an area of 30 square meters. What is the length of the base?

Answers

Answer 1

Answer:

Length of the second base will be 12 meters.

Step-by-step explanation:

Area of a trapezoid is given by the formula,

Area = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Here, b₁ and b₂ are the bases of the trapezoid and 'h' is the vertical distance between the bases.

By substituting the values in the formula,

[tex]30=\frac{1}{2}(8+b_2)3[/tex]

[tex]60=3(8+b_2)[/tex]

[tex]20=8+b_2[/tex]

[tex]b_2=12[/tex]

Therefore, length of the second base will be 12 meters.


Related Questions

i know this is easy but can someone answer the following questions
Complete the following. Show all work for calculations. 25 points if answered correctly

List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?

Answers

Answer:

541/2 square

Step-by-step explanation:

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

the volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

PLEASE HELP IM DESPRATE 50 POINTS

Explain a real world example of a combination where repetition is allowed. You need to EXPLAIN WHY, not just give an example.

Answers

A real world example where repetition is allowed is in the sport of archery, where players get multiple attempts to shoot an arrow as close to the center of the target as possible

HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I won’t get confused. Thank u!

Answers

The points are
(1,0)
(3,0)
(1,-2)
(5,-2)

put these points on the graph






just give the number plsthx

Answers

Answer:

69

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

because 100 minus 31 equals 69

Jacob wants to purchase a new computer, but he does not have enough money in his bank account to pay for one.

Which of these is not an option for Jacob?


He can purchase the computer now using his his debit card.

He can put more money in his bank account and use his debit card to purchase the computer at a later date.

He can buy the computer using cash once he has saved enough money.

He can purchase the computer now using his his credit card.

Answers

Answer:

A is wrong. A debit card uses the money you have.

Number 1 please if you can explain work

Answers

Answer:

Triangle DEF is similar the XYZ

Step-by-step explanation:

Because if you divide 10 by 18, you get 0.555555...

If you divide 14 by 25.2, you get 0.5555555.....

helpppppppppppppppp pleaseeeeeeee

Answers

Answer:

20.25 ft

Step-by-step explanation:

9/2 = 4.5

4.5*4.5 = 20.25

Answer question for brainleist

Answers

Answer:

m<D = 52°

Step-by-step explanation:

x + 20 + 3x + 32 = 180

4x + 52 = 180

4x = 128

x = 32

m<D = x + 20 = 32 + 20 = 52°

Find the volume of a pyramid with a square base, where the side length of the base is
11.8 ft and the height of the pyramid is 5.2 ft. Round your answer to the nearest
tenth of a cubic foot.

Answers

Answer:

241.3ft^3

Step-by-step explanation:

Volume of Pyramid:

V=\frac{1}{3}Bh

V=

3

1

Bh

\text{Side length of base}=11.8

Side length of base=11.8

\text{Area of base}=11.8^2=139.24

Area of base=11.8

2

=139.24

B=

B=

\,\,139.24

139.24

h=

h=

\,\,5.2

5.2

V=

V=

\,\,\frac{1}{3}Bh

3

1

Bh

V=

V=

\,\,\frac{1}{3}(139.24)(5.2)

3

1

(139.24)(5.2)

V=

V=

\,\,241.3493333

241.3493333

45 minutes ago
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Background
Layout
Theme
Transition
4.
P:
Caleb invests $10,000 in a savings
account that pays 3% simple interest.
How many years will it take the account
to grow to $12,700, if he does not make
any withdrawals or deposits?
A 7 years
B 12 years
C 9 years
22 years
r:
t:
D
k to add speaker notes

Answers

Answer:

876889068

Step-by-step explanation:

Evaluate without a calculator:


cot -270°

Answers

Answer:

0

Step-by-step explanation:

The cotangent function is defined as cot x = adj / opp.

The terminal side of 270 degrees is the lower half of the y-axis.  The adj side is zero (0) and the opp side is -1;

Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0

The required answer is cot(-270°) is undefined

Given that cot(-270°).

To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.

First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.

cot(theta) = adjacent side / perpendicular

When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.

Thus, cot(-θ) = cot(θ).

In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.

At -270°, the terminal side of the angle lies on the negative y-axis.

cot(-270°) = cot(270°)

Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)

At 90°, the terminal side of the angle lies on the positive y-axis.

In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.

Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."

Therefore, cot(-270°) is undefined.

Learn more about trigonometric functions and angles click here:

https://brainly.com/question/15290400

#SPJ6

pls help ill mark you brainliest

Answers

Answer:

if i am not mistaking it got to be c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

First you subtract 325 from 75 then divide the answer by 10

Which expression is equivalent to 5+n?
n - 5. n/5. 5n. n + 5​

Answers

Answer:

n+5

Step-by-step explanation:

This is according to the commutative property of addition. 5+n is n+5 written backwards.

9
Find mZWVT
T
35x-2
U
93 °
W
V
7x + 5
mZWVT =

Answers

Answer:

40

Step-by-step explanation:

[tex] \frac{35x - 2 - 93}{2} = 7x + 5[/tex]

[tex] \frac{35x - 95}{2 } = 7x + 5[/tex]

[tex]17.5x - 47.5 = 7x + 5[/tex]

[tex]17.5x = 7x + 52.5[/tex]

[tex]10.5x = 52.5[/tex]

[tex]x = 5[/tex]

Plug 5 in for 7x+5.

[tex]7(5) + 5 = 40[/tex]

GUYS PLEASE ASAP I WILL FAIL IF U GUYS DONT ANSWER PLEASE

Answers

Answer: a square is both rectangle and quadrilateral.a trapezoid, rhombus and parallelogram is a quadrilateral. A parallelogram is also a rectangl.

Step-by-step explanation:

a cube has edges measuring 5 inches. Find the surface area of the cube.

Answers

It will be C. Hope this helps! Mark brainly please!

plssssss help




10-5?????

Answers

Answer:

2220

Step-by-step explanation:

5 thanks

Answer:

5

Step-by-step explanation:

yes

Rob's office recycled a total of 12 kilograms of paper over 2 weeks. How many weeks will it
take Rob's office to recycle a total of 18 kilograms of paper? Assume the relationship is
directly proportional.
weeks
Submit

Answers

Answer:

Weeks thats easy man

Step-by-step explanation:

Is 0.999 repeating equal to 1? Please explain

Answers

It’s not ,
for example if u got to the store an buy a piece of candy for exactly $1 and u got .99 cents you’ll still need one cent to be able to buy it

Answer:

It is not equal to 1

Step-by-step explanation:

It's not equal to one because even if it is repeating forever it will never ever get to one, just take a look

0.999......  every 9 get's smaller and smaller in value

like 0.9 is bigger then 0.09 and that is bigger then 0.009

so even thought it is always gaining value by every 9 the value it gains is smaller and smaller and will never be equal or larger then 1

need help with this !

Answers

Answer:

(-2,14) Hope this helps! Have a great day!!!

One number is 60 more than another. If the larger number is divided by the smaller number, the quotient is 4.
What are the numbers?​

Answers

Answer:

80 and 20

Step-by-step explanation:

Let the 1st no. be 'x'.

2nd no. should be 'x + 60'.

If the larger no.(x + 60) is divided by the smaller number(x), the quotient is 4.

=> (x + 60)/x = 4

=> x + 60 = 4x

=> 60=4x-x

=> 60=3x

=> 60/3 = x

=> 20 = x

No. are x = 20 and x+60 = 20+60= 80

Help ASAP !!!!!!!!!!!!!!!!!!

Answers

Answer:

1

Step-by-step explanation:

it's basically the peak/ center.

1.............................

Tom needs to plow 1.1 acres of land. If he can plow 5.5 acres in an hour, how many hours will it take?
Help! (16 pts if you answer!)

Answers

Given:

Tom needs to plow 1.1 acres of land.

He can plow 5.5 acres in an hour.

To find:

The time taken by Tom to plow 1.1 acres of land.

Solution:

We have,

Time take by Tom to plow 5.5 acres = 1 hour

Time take by Tom to plow 1 acre = [tex]\dfrac{1}{5.5}[/tex] hour

Time take by Tom to plow 1.1 acres = [tex]\dfrac{1.1}{5.5}[/tex] hour

                                                           = [tex]0.2[/tex] hour

Therefore, the time taken by Tom to plow 1.1 acres of land is 0.2 hour.

Please help I'm so stressed over this math ok here it is It costs $12.50 to enter an amusement park and $1.50 to play each game. Solve an inequality to find the number of games, g, Cole can play if he has $35 to spend at the park. Enter your answer in the box.

Answers

Answer:

12.50 + 1.50x < 35

Step-by-step explanation:

X represents the number of games that Cole plays. The admission price plus the money he spends on games should be LESS THAN or EQUAL to 35 dollars.

Mr. Dilberts rectangular swimming pool is surrounded on all sides by a 4-foot wide brick walkway

What is the area of the walkway?
A. 302ft
B. 192ft
C. 96ft
D. 247ft

Please help

Answers

Answer: 192 ft

Step-by-step explanation:

The area of the walkway will be 96 square feet.

Hence, The correct option is C.

What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that;

The dimensions of the crosswalk are,

19 feet

And, 5 feet

Hence, The area of the cross-walk will be calculated as below,

Area = Length x Width

Area = 19 x 5

Area = 96 square feet

Therefore, The area will be equal to 96 square feet.

Learn more about the area of the rectangle visit:

brainly.com/question/25292087

#SPJ7

Jessica got fast food for lunch. Jessica paid 3.10 dollars on fries and 4.88 on the sandwich with a $10 bill. Jessica got a combo deal. What was the change from the purchase?

Answers

Answer:

$2.02

Step-by-step explanation:

If Jessica paid $3.10 for fries and $4.88 for the sandwich, we need to add these two values together to find the total cost of her entire meal.

3.10 + 4.88 = 7.98

Since Jessica paid with a $10 bill then we need to subtract the total from the bill in order to find the change that Jessica will receive from her purchase.

$10 - $7.98 = $2.02

Now we can see that Jessica will receive a total of $2.02 in change after making her purchase.

About how much cardboard is needed to make the inner tube for a roll of paper if the
tube has a diameter of 4.5 cm and is 24 cm long?

Answers

Answer:

[tex]A=339.42\ cm^2[/tex]

Step-by-step explanation:

The diameter of the roll of paper, d = 4.5 cm

Radius, r = 2.25 cm

Height of the roll of papaer, h = 24 cm

We need to find how much is needed to make the inner tube for a roll of paper. The surface area of a cylinder for inner tube is given by :

[tex]A=2\pi r h\\\\=2\times \dfrac{22}{7}\times 2.25\times 24\\\\=339.42\ cm^2[/tex]

So, the required area is [tex]339.42\ cm^2[/tex].

Barkley's team won 40% of their games last season. If they won 12 games total last season, how many games did they play?

Answers

Step-by-step explanation:

40% × 12 = 4.8

12 + 4.8 = 16.8

rounded off = 17 games


Which inequality represents this situation?
The number of students, s, who ride in a bus is less than 30.
s< 30
s> 30
S 30
ss 30

Answers

Answer:

s<30

Step-by-step explanation:

s is the number of students. the staement says the number of students is less than 30

Three interior angles of a polygon are,100degrees,120degrees,and 108degrees.Find the remaining two sides,if one of them is three times the other​

Answers

Answer:

Joe Mama :))))))))))))))))))))))

Step-by-step explanation:

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