The cross section of a water bin is shaped like a trapezoid. The bases of the trapezoid are 22 feet and 14 feet long. It has an area of 54 square feet. What is the height of the cross section?

Answers

Answer 1

Answer:

h = 3 feet

Step-by-step explanation:

Given that,

The bases of trapezoid are 22 feet and 14 feet long.

The area of trapezoid is 54 square feet.

We need to find the height of the cross section. The formula for the area of trapezoid is given by :

[tex]A=\dfrac{1}{2}(\text{sum of parallel sides})\times h\\\\54=\dfrac{1}{2}\times (22+14)\times h\\\\54=\dfrac{1}{2}\times 36\times h\\\\54=18h\\\\h =\dfrac{54}{18}\\\\h=3\ feet[/tex]

So, the height of the cross section is 3 feet.


Related Questions

Underline the prepositions in the sentences. 1. The bus shuttles between Delhi and Gurgaon. 2. The children ran across the bridge. 3. Towards evening, you can hear the frogs croak. 4. I dug the flowerbeds with a spade. 5. The mountaineer reached the peak with great difficulty.

Answers

Answer:

1. The bus shuttles between Delhi and Gurgaon.

2. The children ran across the bridge.

3. Towards evening, you can hear the frogs croak.

4. I dug the flowerbeds with a spade.

5. The mountaineer reached the peak with great difficulty.

Explanation:

Prepositions are the words that tell us or gives information about the location, place, time, or the relation of the noun or pronoun with the other words in the sentence. In short, they tell us where, when, or how something happens.

The prepositions in the given sentences are underlined as follows-

1. The bus shuttles between Delhi and Gurgaon.

2. The children ran across the bridge.

3. Towards evening, you can hear the frogs croak.

4. I dug the flowerbeds with a spade.

5. The mountaineer reached the peak with great difficulty.

Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Write and solve an inequality to find out how much he can spend for everything else. (not just a regular equation.)

Answers

Answer:

x ≤1363

Step-by-step explanation:

2,000-637 = 1363

x ≤1363

2000-637=1363

Inequality: x is less than or equal to 1363

Simplify the expression 5x + 4 + 9x =

Answers

Answer:14x+4

Step-by-step explanation:

edit: the answer is 14x + 4

(the reason i edited was to cause less confusion)

On a Map, 1 inch equals 48 miles. If the if the distance between two cities on a map is 2.5 inches how many miles apart are they

PLEASE HELP IM GONNA FAIL WILL GIVE BRAINLESS

Answers

1 inch = 48 miles. Therefore, 2.5 inches = 2.5X48= 120miles

Answer:

120

Step-by-step explanation:

first, divide 48 by 2 since its 2.5. since theres a half. then you do 48+48+24. you double 48 and then add the half(which is 24) and that equals 120

hope this helpsss

In a class of 30 students, 20 take mathematics, 17 take physics and 2
take none of the two subjects. How many students take both
subjects?​

Answers

Since 2 don’t take either of the classes you can minus them out of the total giving us 28 students and then 20+17 is 37 that mean 9 of them take both

Manny is deciding between two packages of yogurt. YoFruit costs $4.48 for 16 ounces. Yummy Yogurt costs $2.64 for 8 ounces. How much more does Yummy Yogurt cost per ounce?

Answers

Answer:

16 is double 8, so just double the price: 2.64 x 2= $5.28

then, subtract to find the dufference: 5.28 - 4.48= $.80

then, divide that by the oz:

.80/16= 5 cents per ounce

Answer:

0.05

Step-by-step explanation:

sorry if the picture is bad but pls help?!??!

Answers

NOT MAKING THE GRAPH BUT:

ADULT

If 145 = 100%, the ratio is 1% : 1.45.  

57/1.45 = 39.3103448%

88 / 1.45 = 60.6896552%

CHILD

108:100 = 1.08 : 1%

77 / 1.08 = 71.2962963%

31 / 1.08 = 28.7037037%

is a type of bar graph to represent
grouped data​

Answers

Answer:

A histogram is a bar graph that represents grouped data

Diana’s cat weighs 8 ½ pounds. There are 16 ounces in one pound. How much does Diana’s cat weigh in ounces?

Answers

Answer:

138 ounces

Step-by-step explanation:

Write down the 3rd term in the sequence given by: T(n) = 2n² + n

Answers

Answer:

T(3) = 21

Step-by-step explanation:

To find the third term, substitute n = 3 into T(n) , that is

T(3) = 2(3)² + 3 = 2(9) + 3 = 18 + 3 = 21

Select all the ordered pairs that satisfy the function y = 3x + 5. A. (2, –1) A. , (2, –1) B. ( –3, –4) B. , ( –3, –4) C. ( 4, 17 ) C. , ( 4, 17 ) D. ( 3, 8 ) D. , ( 3, 8 )

Answers

Answer:

B. ( –3, –4)

C. ( 4, 17 )

Step-by-step explanation:

Function: y = 3x + 5

Using method of elimination

A. (2, –1)

x = 2, y = -1

-1 = 3 (2) + 5

-1 ≠ 11

This option is incorrect!

B. ( –3, –4)

x = -3, y = -4

-4 = 3 (-3) + 5

-4 = - 9 + 5

-4 = -4

This option is correct!

C. ( 4, 17 )

x = 4, y = 17

17 = 3 (4) + 5

17 = 12 + 5

17 = 17

This option is correct!

D. ( 3, 8 )

x = 3, y = 8

8 = 3 (3) + 5

8 = 9 + 5

8 = 14

This option is incorrect!

Compare and order the numbers from least to greatest by dragging them to the boxes. Plot the numbers on the number line to help.

Answers

The first one should be 6.8 I hope you get it right

need answer now! thank you if you answer​

Answers

Answer: 1/8 x, the second option

Step-by-step explanation:

(5)(1/8)(x) = 5/8 x

(11)(1/8)(x) = 11/8 x

Both have 1/8 * x in common

1/8 * x = 1/8 x

2.4x-6=0 domain and range

Answers

Answer:

if you help me, i help you

Answer:

x = 2.5

Step-by-step explanation:

2.4x - 6 = 0

2.4x - 6 + 6 = 0 + 6

2.4x = 0 + 6

2.4x = 6

2.4x ÷ 2.4 = 6 ÷ 2.4

x = 6 ÷ 2.4

x = 2.5

Solve these simultaneous equations:

3. 5x – 3y = 15 4x 3y = 6

2x + 5y = 26 4x + 3y = 24

3x + 3y = 39 2x - 3y = - 2

Answers

Answer:

1) We have the system:

5*x - 3*y = 15

4*x + 3*y = 6

To solve this, we first need to isolate one of the variables in one of the equations, let's isolate x in the first equation:

x = 15/5 + (3/5)*y = 3 + (3/5)*y

Now we can replace this in the other equation to get:

4*( 3 + (3/5)*y) + 3*y = 6

and solve this for y.

12 + (12/5)*y  + 3*y = 6

(12/5 + 3)*y = 6 - 12 = -6

(12/5 + 15/5)*y = -6

(27/5)*y = -6

y = -6*(5/27) = 1.11

Now we can replace this in the equation:

x = 3 + (3/5)*y

To get the value of x.

x = 3 + (3/5)*1.11 = 3.67

Then the solution of this system is the point (3.67, 1.11)

2) Now we have the system:

2*x + 5*y = 26

4*x + 3*y = 24

The solution method is the same as before:

x = 26/2 - (5/2)*y = 13 - (5/2)*y

Now we replace this in the other equation:

4*( 13 - (5/2)*y) + 3*y = 24

52 - 10*y + 3*y = 24

52 - 7*y = 24

52 - 24 = 7*y

28 = 7*y

28/7 = y

4 = y

now we replace this in the equatio:

x = 13 - (5/2)*y

x = 13 - (5/2)*4 = 13 - 10 = 3

The solution of this sytem is (3, 4)

3) Now we have the system:

3*x + 3*y = 39

2*x - 3*y = -2

first we isolate x in the first equation:

x = 39/3 - 3*y/3 = 13 - y

Now we can replace this in the other equation:

2*(13 - y) - 3*y = -2

26 - 2*y - 3*y = -2

26 - 5*y = -2

26 + 2 = 5*y

28 = 5*y

28/5 = y = 5.6

Now we can replace this in the equation:

x = 13 - y

To get the x-value

x = 13 - 5.6 = 7.4

Then the solution for this system is (7.4, 5.6)

30 points AND BRAINLIEST please help!

(3, 5) is a solution to the equation: y=x+2
This means when x=3 will y=5
True
False

(1, -2) is a solution to the equation: y=-3x+1
True
False

What is the value of y = 4x - 5 when x=2?
? is the value of y when x=2
answer for ?
Blank 1:

In the equation y = 4x -1, if x= 4 what is the y value?
a
4
b
5
c
7
d
9
e
None of the above

In the equation y = 4x -1
answer for ?
When x= 10 ? is the y value?
Blank 1:

Answers

Answer:

True,True,3=8-5 (y=3),E,39

Step-by-step explanation:

An equation is shown x + 3 = 8.5 what is the solution to the question A x = 11.5 B x= 5.5 C x= 2.83 D x= 25.5

Answers

Answer: x =5.5

x+3=8.5

subtract “-3” from both sides

x = 5.5
the answer should be 5.5

Hi please help me fast thank You

Answers

Answer:

k=1/4

Step-by-step explanation:

1/4x1=1/4

0x1/4=0

-1x1/4=-1/4

-2x1/4=-1/2

Very easy

Answer:

K=0.25

Step-by-step explanation:

Well the realationship in the problem y=kx. so now we substitute the numbers so that the equation is now -1/2=-2k

-1/2=-2k

-1/2/-2=k

0.25 or 1/4=k

There are 60 children in a club. In the club, the ratio of the number of girls to the number of boys is 3:1 3/5 of the girls play a musical instrument. 4/5 of the boys play a musical instrument. What fraction of the 60 children play a musical instrument?

Answers

Answer:

3/20

Step-by-step explanation:

There are 60 children in a club. In the club, the ratio of the number of girls to the number of boys is 3:1

Step 1

We find the number of girls and boys

The ratio is given as:

Girls : Boys

3:1

The sum of Proportion = 3 + 1 = 4

The number of girls

= 3/4 × 60 children

= 45 girls

The Number of boys

= 1/4 × 60 children

= 15 boys

Step 2

From the question, we are told:

3/5 of the girls play a musical instrument.

The number of girls that play Instruments is calculated as:

3/5 × Number of girls

= 3/5 × 45 girls

= 27 girls

4/5 of the boys play a musical

instrument.

The number of boys that play Instruments is calculated as:

4/5 × Number of boys

= 4/5 × 15 boys

= 12 boys

Step 3

The fraction of the 60 children that play a musical instrument is calculated as:

Sum of boys and girls that play a musical instrument/ 60 children

= 27 girls + 12 boys/60

= 39/60

= 3/20

The fraction of the 60 children that play a musical instrument is 3/20

Need help on this one

Answers

Answer:

hi I'm pretty sure its C) 2x + 48 = 180

sorry if I'm wrong

How would you show a rate of change of
60 miles per hour on a graph? Name
some of the points.

Answers

Answer:

You would show it by creating a XY graph and labelling the Y axis as the hours and the X axis as the distance. Some points are (1,60), (2,120), and (3,180).

Step-by-step explanation:

Allegra counted 10 red cards and
20 black cards in a deck of cards. What is
the ratio of red cards to black cards?
A 1:1
B 1:2
C 2:1

Answers

the answer is probably b

10:20 = B. 1:2 is the answer

Ursula rolls a regular
Six-sided die. How many
possible outcomes are
there?
1
outcome
2
outcomes
D
6
outcomes
8
outcomes
7.6A
A

Answers

Answer:

6

Step-by-step explanation:

cuz in a normal die there r 6 outcomes

Which ratio expresses the scale used to create this drawing? The post office has dimensions of 36 meters by 90 meters. A. B. C. D.

Answers

Answer:

2 : 5

Step-by-step explanation:

In order to obtain the ratio between numbers, we divide by the largest common factor between both.

In this question, the numbers are;

36 : 90

The largest common faction is 18. Dividing both numbers by 18, we have;

36 / 18 : 90 / 18

2 : 5

The ratio is; 2 : 5

50 points! Look at the picture attached

Answers

Answer:

Answer:

the length of the base of the pyramid =2×58=116

since the mid segment line from the midpoint is half of the third one.

Answer:

the length of the base of the pyramid =2×58=116

Step-by-step explanation:

Plz help solve 7 and 8

Answers

Answer:

7) 16 sq units

8) L = 22 cm

Step-by-step explanation:

7) A = 1/2h·(sum of bases)

= 1/2(4)(5+3)

= 2(8) or 16 sq units

8) A (trapezoid) = 1/2(7)(10+12)

= 1/2(22)(7)

= 11(7) or 77 sq cm

To find 'l' in triangle:

A = 1/2·L·7

77 = 7L /2

7L = 154

L = 22 cm

Taxis usually charge a fee on top of the per-mile charge. In this case, the taxi charges $3 as a set fee and $0.80 per mile traveled. The function y=0.8x+3 is used to represent the total cost of a ride.

Answers

Answer:

$12.3

Step-by-step explanation:

Given data

We are given that the function for the charge is expressed as

y=0.8x+3

Where y is the total cost for a ride

X is the distance of the ride

Say x= 12 miles

Hence the total cost of the ride is

Y= 0.8*12+3

Y= 9.6+3

Y= $12.3

Hence a 12 miles Distance will cost $12.3

Answer: his answer is right

Step-by-step explanation:

whats the equation to (4,5) , Slope = 5/2

Answers

y= 5/2x - 5 hope this helps :)

Answer:

y= 5/2x - 5

Step-by-step explanation:

First, use the equation y=mx+b

m = the slope (5/2)

x = the x coordinate: 4

y = the y coordinate: 5

Then plug in for the values and solve for the only unknown, b.

Therefore we have:

5 = (5/2)4 + b

5 = 10 + b

5 - 10 = b

b = -5

Revert to original equation:

y = 5/2x - 5

Helppppp please (: and thank you

Answers

Answer:

5

Step-by-step explanation:

h(x) h(2)

h(x)=x^2-3. h(2)=2^2-3

g(h(2) g(h(2)=5

Please do the 3 questions show work if needed

Answers

Answer:

100-11=89

Step-by-step explanation:

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