Mathematics College

The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of the other base?​

Answers

Answer 1

The area A of a trapezoid with height h and bases b₁ and b₂ is equal to the average of the bases times the height:

A = (b₁ + b₂) h / 2

We're given A = 864, h = 24, and one of the bases has length 30, so

864 = (b₁ + 30) 24 / 2

864 = (b₁ + 30) 12

864 = (b₁ + 30) 12

72 = b₁ + 30

b₁ = 42

Related Questions

In a two-digit number, the units digit is 5 more that the tenth digit. The number itself is three times the sum of its digits. What is this number?

Answers

Answer:

15

Step-by-step explanation:

1+5=6

6*3=15

Answer:

27

Step-by-step explanation:

I NEED HELP! I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY! :D

Answers

Answer:

1. Train B is faster

Step-by-step explanation:

Train b travels a greater distance in 2 hours than train A.

Train B travels 250 miles in 2 hours, while Train A travels only 120 miles.

i need help with this ^

Answers

Answer:

I think it's 3

Step-by-step explanation:

If 2 is c than subtract  it and it's 3?

Three times one number is equal to two times the larger one and their difference is 1. What are the numbers?

Answers

Answer:

Y=3

X=2

Step-by-step explanation:

Natalia solved the problem
74
.
4
÷
12
=
6
.
2
. Complete the model with partial products to check Natalia's work using multiplication.

A large rectangle is broken into 4 smaller rectangles The top line is labeled 6 and 0.2. The left side is labeled 10 and 2. The rectangles are divided between those labels. The top left rectangle is labeled A. The top right rectangle is labeled B. The bottom left rectangle is labeled C. The bottom right rectangle is labeled D.

Part A
Drag values to the boxes to complete the partial products. Not all choices will be used.

0.4 1.2 2 4 6 12 20 60


The product for A =
.

The product for B =
.

The product for C =
.

The product for D =
.

Part B
Choose the words to complete the statement.

Natalia's work is
correct
, because the total of the partial products is
Choose...
as the dividend.

Answers

Answer:

The product for A = 60

The product for B = 2  

The product for C = 12

 

The product for D=0.4

Choose......correct, Choose.....the same

Step-by-step explanation:

I had the same question on a test and this is the correct answers. Hope this helped!

Find the missing length indicated.
?
12
4
9
28
50
12.

Answers

Answer:

28 probably sorry if wrong

There are 3.9 milligrams of calcium in a ½ ounce of cooked chicken. How many milligrams are in 6 ounces?

Answers

Answer:

there are 46.80 milligrams in 6 ounces.

Step-by-step explanation:

PLZ HELP AND PLEASE HURRY 10 POINTS AND BRAINLIST IF RIGHT!!!

Answers

Need more information

Pls answer and show work!

Answers

Answer:

x represents +50 for every hour. the inequality is y = 4x + 500 or y = x + 500.

they can ride it for 4 hours

Step-by-step explanation:

y(total cost) = x(50 per hour) + 500(y-intercept)

The probability of two events A and B happening simultaneously is 0.17. The probability of only event A happening is 0.34. Find the probability of event B happening, if event A has already happened

Answers

Answer:

because is the probability is 0.17 and 0.34 is fair

You can use the multiplication rule of probability.

The probability of event B happening if event A has already happened is 0.5

What does general multiplication rule of probability says for 2 events A and B?

[tex]P( A \: \rm and \: B) = P(A)P(B|A) = P(B)P(A|B)[/tex]

Since we've to find the probability of B given that A has already happened, we need [tex]P(B|A)[/tex]

Since the probability of both event A and event B happening simultaneously is 0.17, thus:
[tex]P(A \: \rm and \: B) = 0.17\\ [/tex]

Since the probability of only event A happening is 0.34, thus:

[tex]P(A) = 0.34[/tex]

Thus, from the multiplication rule, we have:
[tex]P(A \: \rm and \: B) = P(A)P(B|A)\\ 0.17 = 0.34 \times P(B|A)\\\\ \dfrac{0.17}{0.34} = P(B|A)\\\\ P(B|A) = \dfrac{1}{2} = 0.5[/tex]

Thus, we have the probability of event B happening when A has already happened as 0.5

Learn more about multiplication rule of probability here:

https://brainly.com/question/14450597

Describe the graph of x > 2 and x < 5

Answers

Answer:

y=(x−5)2

The graph of y is the standard parabolic, concave up curve of y=x2 shifted ("transformed") by 5 units right ("positive") on the x−axis,

The graph of y is shown below.

graph{(x-5)^2 [-10, 10, -5, 5]}

Answer:

I'm prettyy sure you already figured this out knowing you, so thanks;)

Step-by-step explanation:

Solve:
5y + 3y +1+1 = 2y + 6y +6 +2

Answers

Answer:

0=6

There are no solutions to this answer.

Step-by-step explanation:

Answer:

There is no solution.

Step-by-step explanation:

I need help desperately

Answers

Answer:

B is the answer

Step-by-step explanation:

Look at where the decimal is placed and the value of the numbers

Iwefwegweg weg ewgwewegw egwe gwe gwe weg weg w

Answers

Answer:

gweew gshbx

Step-by-step explanation:

The length of the diagonal of a squere is 36 feet. Find the length of the side of the square.
I need help with this pls

Answers

Step-by-step explanation:

by PT,

36^2 = length^2 x length^2

length = 6 feet

Topic: Pythagoras theorem

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Help Lesson 11 & 12: A shop sells bagels for $5 per dozen. At this rate, how much would 6 bagels cost? Your answer is a dollar amount, so it must have a number to the left of the decimal and two numbers to the right of the decimal. (Example: $5.50 would be entered as 5.50) *

Answers

2.5 dollars because if one dozen is 5 dollars and we divide 12 by 2 we get 6 witch is also how much we need so we also divide 5 dollars by 2 because 5 dollars = 12 bagels.

In AGHI, the measure of

Answers

Answer:

yes

Step-by-step explanation:

Feet thats the answer noooo problem

Please helppp
solve for y

Answers

Answer: [tex]y=\frac{-x}{w-3}[/tex]

Step-by-step explanation:

To solve for y, we want to isolate y.

[tex]w=\frac{3y-x}{y}[/tex]             [multiply both sides by y]

[tex]yw=3y-x[/tex]         [subtract both sides by 3y]

[tex]yw-3y=-x[/tex]      [factor out y]

[tex]y(w-3)=-x[/tex]     [divide both sides by (w-3)]

[tex]y=\frac{-x}{w-3}[/tex]

Now, we know that [tex]y=\frac{-x}{w-3}[/tex].

A bin at a department store contains blue and red blankets. The ratio of blue blankets to red blankets is 13 to 7. What percent of the blankets in the bin are blue?

Answers

Step-by-step explanation:

13=blue blankets 7=red blankets

First, we need to know how many blankets there are in total.

13+7=20

Now, we don't need the seven anymore. Our ratio is blue blankets to total blankets.

13/20

Now, we need to know how many blue blankets there are in percentage.

13/20 = x/100

Next step: 13 times 100 is divided by 20

x= 13(100)÷20

x=1300÷20

x= 65

Therefore there are 65% of blue blankets.

Stem question, can you plz tell me 3 types of natural water vapor other that steam, fog, and clouds, thanks.

Answers

Answer:

Smoke, Condensation, mist

Step-by-step explanation:

<3

Evaluate 8x when x = 3.12​

Answers

Answer:

24.96

Step-by-step explanation:

When you do 8 times 3.12, because 8x (8 times x), you would get 24.96.

Help i am stuck please be fast

Answers

Answer:

Step-by-step explanation:

They are alike because both involve steps for multiplication and addition but part b uses factoring in its estimation to solve the problem while part c dosesn't.

A+3/4=7/8. Please help solve equation using subtraction

Answers

1/8
If you can make the bottom numbers (denominator) The same that you can use subtract the top numbers like normally

What is the area of the triangle?
6
18
units

Answers

Answer:

54 units

Step-by-step explanation:

multiply 6 x 18 = 108 and divide by 2 to get 54. The equation for the area of a triangle is base x height divided by 2.

Answer:

A= 1/2 x 6 x 18 =  54 is that right..

A local park is in the shape of a square. A map of the park is made with the scale of 1 inch to 200 feet. If one side of the park on the map is one foot long, how long is the side of the park in real life?

Answers

Answer: The side of the park is 2,400 feet long.

Explanation:
Scale is 1in:200ft
One foot = 12in
The fraction 1/200 = 12/x, which is cross multiplication.
1 times x = 1
12 times 200 = 2400
1 times 2400 = 2400
So that one side equals 2,400ft.
& since it’s a square that means all sides are equal no matter which is talking about.

4. In the equation y = 8x , what is your constant?
A)y
B)8
C)x
D)0

Answers

Answer: it should be 8

20POINTS WILL MARK BRANLIEST PLSS
The layout of a city park is pictured in the figure above. Park managers would like to find the distance of segment DE, in order to build a walkway across the middle of the park. The park managers look up the distance of segments BC and AB in the city records. If the length of segment AB is determined to be 562 feet, what is the distance of mid-segment DE in feet?

Select one:
A. 220
B. 244
C. 276
D. 281

Answers

244 is the correct answer

Organic milk costs $2.52 per half gallon. At this rate, how can the price of 4 gallons of organic milk be determined?
by multiplying $2.52 by 4
by dividing $2.52 by 4
by finding the unit price and multiplying it by 4
by finding the unit price and dividing it by 4

Answers

Answer:

Step-by-step explanation:

by finding unit price and multiply

u wouldn't timea by 4

These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!

Answers

9514 1404 393

Answer:

a = 6b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

  smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

__

Side A in the smaller triangle is ...

  A/15 = 4/10

  A = (4/10)(15) = 6

__

The ratio of larger to smaller is the inverse of the above ratio, so ...

  B/9 = 10/4

  B = (10/4)(9) = 22.5

11 coommon factor of​

Answers

1? Isn’t it like a prime number
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