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

David has 4 bales of hay for his 13 cows. What is an equivalent ratio of cows to bales of hay

Answers

Answer:

13 : 4

Step-by-step explanation:

13 : 4

he has 13 cows and he has 4 bales of hay so 13:4

you can't simplfy it so its still 13 : 4

Need help on this one.

Answers

Answer:

15,7,27,10 Good luck with ur work <3

which of the following would you expect to have the highest interest? a 5-year CD a 10-year CD and online savings account or savings account at a Traditional Bank​

Answers

Answer:10-year CD

Step-by-step explanation:

No

Need help with this math problem look at the picture. ​

Answers

Answer:

Square Root of 35

Step-by-step explanation:

5 * 7 = 35

Answer:

5.91607978309

Step-by-step explanation:

A diving board is 12.4 feet above the ground. The bottom of the pool is 16.9 feet below the ground. Write and solve an equation that gives the distance from the diving board to the bottom of the pool.

Answers

Answer:

29.3 feet

Step-by-step explanation:

Okay I don't know the equation to put it in, but all you need to do is add the two values together.

12.4 + 16.9 = 29.3 feet

The distance from the diving board to the bottom of the pool will be 29.3 feet.

From the information given, the diving board is 12.4 feet above the ground and the bottom of the pool is 16.9 feet below the ground.

Therefore, the equation that gives the distance from the diving board to the bottom of the pool will be:

= 12.4 + 16.9

= 29.3 feet.

Read related link on:

https://brainly.com/question/19633325

solve this inequality

Answers

Answer:  [tex]x < 3[/tex]

Explanation:

To isolate x, we first add 3 to both sides. Then we'll divide both sides by 4

[tex]4x-3 < 9\\\\4x-3+3 < 9+3\\\\4x < 12\\\\\frac{4x}{4} < \frac{12}{4}\\\\x < 3[/tex]

So x can be any number smaller than 3.

The inequality sign will not flip because we are not dividing both sides by a negative number.

A project has each of the following characteristics except ____.
A. Clearly defined scope, deliverables, and results.
B. An estimated budget that is subject to a high degree of uncertainty.
C. Low risk with a high profit potential or benefits.
D. An estimated time frame or schedule that is subject to a high degree of uncertainty.

Answers

Answer:

C. Low risk with a high profit potential or benefits.

Step-by-step explanation:

I hope this helps.

ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST Paul's Pumpkin Patch advertises four pumpkins for $10.50. Which equation below represents this proportional relationship?​

Answers

Answer

the 1st equation

Step-by-step explanation:

Bella wants to create a tea-mix. She can buy Asian Treasure tea for $7.50 per ounce and Paradise tea for $5.00 per ounce. If she wants to make 60 ounces of tea-mix at a cost of $6.00 per ounce, how many ounces of Asian Treasure tea and how many ounces of Paradise tea should she buy?

Answers

9514 1404 393

Answer:

24 oz Asian Treasure36 oz Paradise

Step-by-step explanation:

The proportion of Asian Treasure is the difference in price of the mix and Paradise tea, divided by the difference in price of Asian Treasure and Paradise tea. So the amount of Asian Treasure is ...

  (6.00 -5.00)/(7.50 -5.00)(60 ounces) = 24 ounces . . . Asian Treasure tea

The remaining 60-24 = 36 ounces will be Paradise tea.

__

Using an equation

You can get the same result if you define a variable (a) to the amount in ounces of the higher-priced contributor. Then the lower-priced contributor will be in the amount (60-a) ounces. The total cost of the mix is ...

  7.50a +5.00(60 -a) = 60(6.00)

  (7.50 -5.00)a +60(5.00) = 60(6.00) . . . rearrange the left side

  (7.50 -5.00)a = 60(6.00 - 5.00) . . . . . .  subtract 60(5.00)

  a = 60(6.00 -5.00)/(7.50 -5.00) . . . . . . divide by the coefficient of 'a'

Note that this last expression is identical to the one we used above to find the quantity of Asian Treasure tea.

6 divided by 1 1/8


Dont force the calcu- nvm I forgot Fractions cant be used in calculators :(

Answers

Answer:

4 and 4/11

Step-by-step explanation:

Answer:

4 4/11

Step-by-step explanation:

You start with 6/1 divided bye 11/8. You keep the 6/1, switch the division to multiplication, and flip the 11/8 to 8/11. You multiply the fractions and get 48/11. Simplifying gives 4 4/11.

The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 25 seconds with an average speed of 6 feet per second. Find the average speed of the swimmer if it takes 50 seconds to finish the race.

Answers

9514 1404 393

Answer:

  3 feet per second

Step-by-step explanation:

If the time is multiplied by 2, the inverse relationship tells you the speed is multiplied by 1/2.

  (1/2)(6 ft/s) = 3 ft/s

The swimmer's average speed is 3 ft/s.

Please help geometry find the solution

Answers

Answer:

Directions Unclear:

Step-by-step explanation:

I am now drowning on air.

Answer:

ok

Step-by-step explanation:

The short run is defined as a period of time where

Select one:
a. some of a firm's inputs are fixed
b. only a small number of firms can enter or exit the industry.
c. the firm always breaks even (earns zero profit).
d. all inputs can be changed, but only for a little while and then must be changed back to their original levels.

Answers

Answer:

q

Step-by-step explanation:

a q q q q q q q q q q qq q qq q q q q q qa q q q q q q q q q q q

plz helpppppppp me thxs​

Answers

Answer:thxxxxxxs for the points

Step-by-step explanation:

Francine uses 2/3 cups of pineapple juice for every 1/3 cup of orange juice to make a smoothie.Enter the number of cups of pineapple juice Francine uses for 1 cup of orange juice

Answers

Answer:

1 cup i think

Step-by-step explanation:

Sorry im an idiot but i think its right

Answer:

Step-by-step explanation:

It is two cups

Explain how multiplying fractions and dividing fractions are alike and how they are different. ​

Answers

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Step-by-step explanation:

Example:

[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]

Which expression is equivalent to 20y - 5


a.4(5y-1)


b.20(y-5)


c.5(4y-1)


d.y(20-5)

Answers

b.20(y-5)

Step-by-step explanation:

not sure ops sorry

In a bag of 20 balls, 2 are pink, 7 are green, 4 are white, 5 are black, and 2 are orange. If the first ball chosen is
pink and not replaced, what is the probability that the next ball is black?
A.1/10
B.15/63
C.2/19
D.5/19

Answers

Answer:

The answer is D 5/19.

Step-by-step explanation:

There are 20 balls and one git removed then 5 are black so you put 5 over the number of balls 20.

I WILL MARK BRAINLIST

Answers

Answer:

I think it's B.

Step-by-step explanation:

Hope that helped! Have a great rest of your day!

What is the value of 2.57 - 1.75?​

Answers

Answer:

The value is 0.82

Step-by-step explanation:

2688 divided by 96 with remainder

Answers

Answer: OK, the answer is 28.

Step-by-step explanation: Also there is no remainder for this division problem, you could have the remainder if the numbers are not the same as a multiplication problem, so did you get it?

Find the value of this question ​

Answers

Answer:

the expression is equal to 0

Evaluate the expression 8-3×2+5

Answers

Answer:

7

Step-by-step explanation:

First do 3x2 to get 6, and then do 8-6, which is 2, and add that to 5 to get 7

How many solutions does the absolute value equation have?

I x - 3 I + 2 = -2

Answers

9514 1404 393

Answer:

  the correct answer is marked

Step-by-step explanation:

When the graph of the left side of the equation does not intersect the graph of the right side of the equation, there are no solutions.

__

Additional comment

Even if you extend the domain to complex numbers, there are no solutions. The f(x) = |x| function always returns a positive real value, even for complex numbers.

The price of a television was reduced from $250 to $200. What was the percent decrease in price? HELPP? ILL GIVE YOU A BRAINLLEST?!!

Answers

Answer:

20%

I hope this is good enough:

find the domain of f(x) . give answer in interval notation

Answers

Answer:

(0,6]

Step-by-step explanation:

Choose the ratio that is equivalent to 4:6.
Group of answer choices
3:6
4:8
8:12
8:10

Answers

Answer:

8:12

Step-by-step explanation:

Answer:

8:12

Step-by-step explanation:

Both numbers are multiplied by 2


If 6 x 7 = 26 +0, find the number that belongs in the box.
211

Answers

Answer: 185 sorry if wrong

John is a quarterback this year he completed 350 passes which is 70% of all passes he is attempting this year

Answers

Answer:

John attempted 500 passes.

Step-by-step explanation:

350 / x = 70%

350 = 0.7x

x = 500

need help with slopes..

Answers

Y intercept is -7 slope is 0 and the type of slope is 0 I think

Answer:

Step-by-step explanation:

y-intercept:  -7

type of slope:  0

slope: y=0x-7

slope's hard ;_;

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