Trapezoid A B C D is shown. An altitude with length 5 is drawn from point B to side A D. The length of B C is 14, the length of C D is 6, and the length of base A D is 16. Use the formula A = One-halfh(b1 + b2). What is the area of the trapezoid? 32, 60, 75, 560, square units

Answers

Answer 1

Answer:

C. 75 square units

Step-by-step explanation:

From the question we see that:

b1 = AD = 16 , b2 = BC = 14 , h = 5

Use the formula for the area:

A = 1/2(b1 + b2)hA = 1/2(16 +14)(5) = 1/2(30)(5) = 75

Correct choice is

C. 75 square units
Answer 2

Answer:

75 is correct on edge

Step-by-step explanation:


Related Questions

Can somebody help me thanks !!!!

Answers

Hey there!

The answer is x = 8

The diagonals in a rectangle are always equal, therefore we can set the expressions equal to each other:

8x - 15 = 49

Add 15 to both sides:

8x = 64

Divide 8 on both sides:

x = 8

Have a super awesome day! :)

4x+3(2x-1)-4x *
1,6x-3
2,6x+3
3,14x-3
4,14x+3

Answers

6x - 3

First distribute 3 into the terms in parenthesis
4x + 6x - 3 - 4x

Combine like terms: 4x + 6x = 10x. 10x - 4x = 6x

6x - 3

This cannot be simplified any further without knowing the value of x, so 6x - 3 is your final answer.
I hope this helps :)
Their correct it is 6x-3 !!

At what rate does a payment plan for $1,500 accumulate $450 interest after 6 years?

Answers

Answer:

At a rate of 5%.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question:

Payment plan for $1500 means that [tex]P = 1500[/tex]

$450 interest after 6 years means that [tex]E = 450, t = 6[/tex]

We have to find the rate I. So

[tex]E = P*I*t[/tex]

[tex]450 = 1500*I*6[/tex]

[tex]I = \frac{450}{1500*6}[/tex]

[tex]I = 0.05[/tex]

At a rate of 5%.

Represent the following Percent as a decimal, 87.5%

Answers

So with converting percentages to decimals you move where the decimal is 2 spots to the left of the number so in this case it would be .875
0.875
Hope this helps!

Help pls I don’t understand this my teacher didn’t teach this

Answers

Answer:

x = 60

Step-by-step explanation:

The tip of the triangle's angle is 100 (b/c 180-80)

x + 100 + 20 = 180

x + 120 = 180

x = 60

Answer:

Step-by-step explanation:

X=60

what is the answer of -12x+-7x​

Answers

Answer:

-19x

Step-by-step explanation:

Answer:

− 19x

Step-by-step explanation:

Let's simplify step-by-step.

− 12x − 7x

= − 12x + − 7x

Combine Like Terms:

= − 12x + − 7x

=( − 12x + −7x )

= − 19x

Hope it helps,

Please mark me as the brainliest

Thank you

Help As Quick as possible

Answers

Answer:

49/36

here u need to simply multiply and can get the answer! hope you never ask the same question based on it.

please help me i really need help please




Analyzing O! Pioneers

Willa Cather’s 1910 novel, O! Pioneers, follows a Swedish family of farmers in Nebraska.
In this passage, John Bergson is dying and worries about what will become of his wife and
young children. Alexandra is the oldest Bergson child


Alexandra, her father often said to himself, was like her grandfather; which was his
way of saying that she was intelligent. John Bergson’s father had been a shipbuilder, a
man of considerable force and of some fortune. Late in life he married a second time, a
Stockholm woman of questionable character, much younger than he, who goaded him into
every sort of extravagance. On the shipbuilder’s part, this marriage was an infatuation,
the despairing folly of a powerful man who cannot bear to grow old. In a few years his
unprincipled wife warped the probity of a lifetime. He speculated, lost his own fortune
and funds entrusted to him by poor seafaring men, and died disgraced, leaving his
children nothing. But when all was said, he had come up from the sea himself, had built
up a proud little business with no capital but his own skill and foresight, and had proved
himself a man. In his daughter, John Bergson recognized the strength of will, and the
simple direct way of thinking things out, that had characterized his father in his better
days. He would much rather, of course, have seen this likeness in one of his sons, but it
was not a question of choice. As he lay there day after day he had to accept the situation
as it was, and to be thankful that there was one among his children to whom he could
entrust the future of his family and the possibilities of his hard-won land.

Discuss the Meaning
Alexandra shares personal qualities with her grandfather. What are these qualities and
how will they help the Bergson family survive after her father dies? Cite text examples to
support your ideas.

Answers

Jesus this is a essay.

In 2004, Pen Hadow and Simon Murray walked 680 miles to


the South Pole. The trip took 58 days.

Answers

Answer:

The average number of daily miles traveled by these individuals was 11.72 miles per day.

Step-by-step explanation:

Given that in 2004, Pen Hadow and Simon Murray walked 680 miles to the South Pole, and the trip took 58 days, to determine the average number of miles traveled per day by these individuals the following mathematical calculation must be performed:

680/58 = X

11.72 = X

Thus, the average number of daily miles traveled by these individuals was 11.72 miles per day.

Which number makes the equation true?

Answers

Answer:

6 is the answer

btw

Anyone wants free ebooks on kindle app or anything????

I can give youuu

Answer: 1/6

Step-by-step explanation:

Someone pls help me

Answers

3 and yes it is ​‎.
3 and proportional

What is the second step in solving the following equation?
-3x + 5 = 20

Subtract 5 from both sides

O Divide both sides by-3

o add 3x to both sides

O Divide both sides by 3

Answers

divide both sides by -3

can someone please help​

Answers

Answer:

Step-by-step explanation:

Remark

The range is the y values going from the smallest to the largest.

Y values

-3, 5,2, 0

Range

{-3,0,2,5}

-6(k-7)=36-7k whats k?

Answers

Answer:

k is -6

Step-by-step explanation:

first you need to simplify:

-6k+42=36-7k

then get the same ones together

6=-k

k=-6

In ΔBCD, the measure of ∠D=90°, the measure of ∠C=83°, and DB= 1.3feet. What is the length of CD to the nearest tenth of a foot.

Answers

Answer:

[tex]CD\approx0.2[/tex]

Step-by-step explanation:

By the tangent ratio, [tex]tanC=\frac{DB}{CD}[/tex]. Substituting the given values into this equation gives us:

[tex]tan83[/tex]° [tex]= \frac{1.3}{CD}[/tex]

[tex]CD*tan83[/tex]° [tex]=1.3[/tex] (Multiply both sides of the equation by [tex]CD[/tex])

[tex]CD=\frac{1.3}{tan83\textdegree}[/tex] (Divide both sides of the equation by [tex]tan83\textdegree[/tex])

[tex]CD=0.15962\approx0.2[/tex]

Hope this helps!

i need help on this it’s asking which of the following is the equation of the linear function (f)x shown graphed below

Answers

Answer:

D

Step-by-step explanation:

I need help with this !

Answers

i believe the answer would be c.

Answer:

i think its b or c

Step-by-step explanation:

What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation? Please help

Answers

Answer:

[tex] {( \bold {\purple{ \boxed{ x + 7}}})}^{2} = \: \bold {\purple{ \boxed{ 9}}}[/tex]

Step-by-step explanation:

[tex] - 2 {x}^{2} - 28x = 80 \\ \\ - 2( {x}^{2} + 14x) = 80 \\ \\ {x}^{2} + 14x = - 40 \\ \\ {x}^{2} + 2.x. \bold{ \red{7 }}+ 49 = - 40 + 49 \\ (add \: square \: of \: 7 \: both \: sides)\\ \\ {x}^{2} + 14x + {7}^{2} = 9 \\ \\ {( \bold {\purple{ \boxed{ x + 7}}})}^{2} = \: \bold {\purple{ \boxed{ 9}}}[/tex]

Please help! *WILL MARK BRAINIEST*

Answers

Answer:

27/40

Step-by-step explanation:

Simple math, can I have Brainliest??

Answer:

27/40

Step-by-step explanation:

[tex]-2\frac{1}{4} / -3\frac{1}{3} \\\frac{-9}4}/ \frac{-10}{3} \\\frac{-9}{4}*\frac{-3}{10}\\\frac{27}{40}[/tex]

If $5,000 is invested at 4% simple intrest for 30 years. what will be the total intrest earned in the 30 years?​

Answers

Answer:$1.20

Step-by-step explanation: Find 4% of 30

I am using a calculator, but you can get the same result if you multiply .04 and 30

You should get 1.2 or $1.20

Which equation represent the following situation : Andre withdrew
spending money from his checking account that initially had $982. What
was the amount of his withdrawal, w, if his ending balance was $922.
O 982 - w = 922
O W - 982 = 922
O 922 - W = 982

Answers

Answer:

Try 60

Step-by-step explanation:

982-922=60

7a-2a-5b+b= ??

I dont understand this can anyone help

Answers

Step-by-step explanation:

See bring both like terms together like

7a - 5b

-2a + 1b

=? ? ? ?

Now you identify the answer its so easy I all most said the answer there is nothing to solve actually.

Ok

Answer: 5a-4b

Step-by-step explanation:

=7a+−2a+−5b+b

=(7a+−2a)+(−5b+b)

=5a+(−4b)

=5a-4b

FIND THE VALUE OF X PLEASE HELP ME

Answers

Answer:

x = 18

Step-by-step explanation:

4(18) = 72

2(18) - 10 = 26

4(18) + 10 = 82

72 + 26 + 82 = 180

18 the answer they were correct!! And I looked over ok let me stop with the !! I sound white well I looked over there work and it correct

A dog washer charges an extra fee to wash dogs that are larger than 55 pounds.

Q: Which inequality shows the weight, in pounds, that a dog can be, d, without having to pay the extra fee?

a. d ≥ 55
b. d < 55
c. d > 55
d. d ≤ 55

Answers

d is the answer because it can’t be more than 55 lbs

A large cable company reports the following:
80% of its customers subscribe to its cable TV service.
44% of its customers subscribe to its Internet service.
29% of its customers subscribe to its telephone service.
25% of its customers subscribe to both its cable TV and Internet service.
20% of its customers subscribe to both its cable TV and phone service.
23% of its customers subscribe to both its Internet and phone service.
15% of its customers subscribe to all three services.
Consider the chance experiment that consists of selecting one of the cable company customers at random. Calculate the following probabilities.
A) P(cable TV only).
B) P(Internet | cable TV).
C) P(exactly services).
D) P(Internet and cable TV only).

Answers

Answer:

[tex]P(Cable\ TV\ only) = 50\%[/tex]

[tex]P(Internet\ |\ cable\ TV) = 31.25\%[/tex]

[tex]P(exactly\ 2\ services) = 23\%[/tex]

[tex]P(Internet\ and\ cable\ TV \only) = 23\%[/tex]

Step-by-step explanation:

Given

[tex]Cable\ TV = 80\%[/tex]

[tex]Internet = 44\%[/tex]

[tex]Telephone = 29\%[/tex]

[tex]Cable\ TV\ and\ Internet = 25\%[/tex]

[tex]Cable\ TV\ and\ Telephone = 20\%[/tex]

[tex]Internet\ and\ Telephone = 23\%[/tex]

[tex]All\ Services = 15\%[/tex]

Solving (a): A) P(cable TV only).

First, we calculate n(cable TV only)

This is calculated as:

[tex]n(cable\ TV\ only) = (Cable\ TV) - (Cable\ TV\ and\ Internet) - (Cable\ TV\ and\ Telephone) + (All\ Services)[/tex]

[tex]n(cable\ TV\ only) = 80\% - 25\% - 20\% + 15\%[/tex]

[tex]n(cable\ TV\ only) = 50\%[/tex]

The probability is:

[tex]P(Cable\ TV\ only) = \frac{n(Cable\ TV\ only)}{100\%}[/tex]

[tex]P(Cable\ TV\ only) = \frac{50\%}{100\%}[/tex]

[tex]P(Cable\ TV\ only) = 50\%[/tex]

Solving (b): P(Internet | cable TV).

This is calculated as:

[tex]P(Internet\ |\ cable\ TV) = \frac{Cable\ TV\ and\ Internet}{Cable\ TV}[/tex]

[tex]P(Internet\ |\ cable\ TV) = \frac{25\%}{80\%}[/tex]

[tex]P(Internet\ |\ cable\ TV) = \frac{25}{80}[/tex]

[tex]P(Internet\ |\ cable\ TV) = 31.25\%[/tex]

Solving (c): P(exactly 2 services).

This is calculated as:

[tex]P(exactly\ 2\ services) = (Cable\ TV\ and\ Internet - All) + (Cable\ TV\ and\ Telephone - All) + (Internet\ and\ Telephone - All)[/tex]

[tex]P(exactly\ 2\ services) = (25\% - 15\%) + (20\% - 15\%) + (23\%-15\%)[/tex]

[tex]P(exactly\ 2\ services) = (10\%) + (5\%) + (8\%)[/tex]

[tex]P(exactly\ 2\ services) = 23\%[/tex]

Solving (d): P(Internet and cable TV only).

This is calculated as:

[tex]P(Internet\ and\ cable\ TV \only) = \frac{(Internet\ and\ cable\ TV \only)}{100\%}[/tex]

[tex]P(Internet\ and\ cable\ TV \only) = \frac{23\%}{100\%}[/tex]

[tex]P(Internet\ and\ cable\ TV \only) = \frac{23\%}{1}[/tex]

[tex]P(Internet\ and\ cable\ TV \only) = 23\%[/tex]


Which inequality is represented by the number line graph?

Answers

Answer:

We can also graph inequalities on the number line. The following graph represents the inequality x≤2 . The dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true.

Step-by-step explanation:

your welcome

Which of the equations given below would generate a straight line? Help :)

Answers

I think the answer is A, not positive

Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.

Answers

Answer:

Its the second choice

Step-by-step explanation:

please answer this for me love

Answers

Answer:

Step-by-step explanation:

x-intercept is the 3rd box, and y-intercept is the 6th box

(-3/2,0) - x intercept ; (0,-9/2) - y intercept. Good luck! :)

Cellphone plan A costs $35 for having the phone plus $0.40 per text message. Cellphone plan B costs $45 for having the phone plus $0.30 per text message. How many text messages can be sent for both plans to be equal in cost? (Write and solve an algebraic equation that can be used to solve for the number of text messages before both plans are equal in cost)

Answers

x = number of text messages sent

0.2x+40=50

0.2x = 10

5(0.2x) = 5(10)

x = 50

Therefore, 50 text messages would have to be sent or received in order for the plans to cost the same each month.

Other Questions
Question: What was Garibaldi trying to accomplish in this speech?WILL GIVE BRAINLIEST How does Lyddie feel about Lukes proposal. During this year, Weaver sold some equipment for $19 that had cost $31 and on which there was accumulated depreciation of $10. In addition, the company sold long-term investments for $13 that had cost $7 when purchased several years ago. Weaver paid a cash dividend this year and the company repurchased $39 of its own stock. This year Weaver did not retire any bonds. Using the information from Part 1, along with an analysis of the remaining balance sheet accounts, prepare a statement of cash flows for this year. (List any deduction in cash and cash outflows as negative amounts.)Weaver Company Statement of Cash Flows For This Year Ended December 31 Operating activities: Investing activities: Financing activities: Beginning cash and cash equivalents Ending cash and cash equivalent Amanda purchased 2.5 pounds of lemons. The lemons were priced at $1.58 per pound. How much did Amanda spend on lemons? 1.Martin runs 3/4 mile three days a week. How many miles does he run in four weeks?2.Teresa measures 5/8 foot of ribbon for a costume. She needs seven pieces of ribbon with that same length. What is the total length of ribbon Teresa needs to make all the costumes?3.Oscar spent 2/3 hour each night doing homework for five nights this week. How many hours of homework did Oscar complete this week?4.Alexandra is following a recipe that requires 3/4 cup of water. She needs to make 10 servings. How many cups of water does Alexandra need?WHO EVER ANSWERS GETS 75 POINTS. HELPP ASAP PLEASEEE!!!!!!!!!!!If a nation is suffering famine as a result of changing conditions reducing their wheat crop, which area of scientific specialization would be the areamost likely to be involved in finding a solution?O pomologistsO arboristsO agronomistsbotanists - A blacksmith is shoeing a miser's horse. The blacksmith charges ten dollars for his work. The miser refuses to pay. "Very well", says the blacksmith, "there are eight nails in each horseshoe. The horse has four shoes. There are 32 nails in all. I will ask you to pay one penny for the first nail, two pennies for the next nail, four pennies for the next nail, eight pennies for the next nail, sixteen pennies for the next, etc. until the 32nd nail". How much does the miser have to pay? Refer to Inside Out and Back Again for a complete version of this text. Which lines from "Sadder Laugh" in Inside Out and Back Again contain figurative language? "to tell her / to listen for / the diacritical mark," "My new teacher tilts / her head back, / fakes / an even sadder laugh." "the morning air glides cool / like a constant washcloth / against my face." "I repeat, H, / and I wish I knew / enough English" Why do we need an independent judiciary? find the area of the following Circle in estimate form Find x.(Someone pls help) Write equations of each line in slope-intercept form Decide if the sentence is reflexive & which answer is correct based upon the subject and the reflexive pronoun.Marc____ tous les jours.se lavese laventlavelavent What was one-way Texans helped in the war effort? Which expression is equal to 7ab^5 56a^3b^2 6x+7 X=3Evaluate the expression On Saturday Kai gave his guinea pig 80 grams of the food. The table shows the amount of each type of food he gave to the guinea pig. Which percentage bar graph best represents the data? Did the Fugitive Slave Act of 1850 expand slavery or threaten its future? Help plz due in 15mins "1. AudioCables, Inc., is currently manufacturing an adapter that has a variable cost of $.50 per unit and a selling price of $1.00 per unit. Fixed costs are $14,000. Current sales volume is 30,000 units. The firm can substantially improve the product quality by adding a new piece of equipment at an additional fixed cost of $6,000. Variable costs would increase to $.60, but sales volume should jump to 50,000 units due to a higher-quality product. Should AudioCables buy the new equipment?"