Why is there a 1/2 in this formula for the area of a trapezoid?

Why Is There A 1/2 In This Formula For The Area Of A Trapezoid?

Answers

Answer 1

A simple answer is that any given trapezoid with height h and length of the parallel lines a and b, is half of a parallelogram with an area of (a+b) x h. Since the trapezoid is half of this, it is h(a+b)/2


Related Questions

HELP ASAP WILL GIVE BRAINLIEST
which equation represent a line with a y intercept of 2/3 and a slope of "-3"

Answers

the answer is y=-3x+2/3
The answer is Y=3x+2/3!!

why are conclusions about a population more likely to be correct when they are based on random samples that are not random.

Answers

Answer:

1) Sampling error leads to mostly variability, nonsampling errors lead to bias. 2) Because of nonsampling error, a sample is often more accurate than a CENSUS.

Step-by-step explanation:

Conclusion’s about a population are more likely to be correct because there is less variability then there is in a random sample

FIRST CORRECT ANSWER GETS BRAINLIEST

Answers

Answer:

i don't get it.

Step-by-step explanation:

what do you mean firat first correct answer

Answer:

may I know the question?   UwU

A box has the shape of a rectangular prism with height 31 cm. If the height is increased by 0.9 cm, by how much does the surface area of the box increase? 31 cm 12 cm 7.2 cm Use pencil and paper. Show your work. Then show a second way to solve the problem. Explain which way you like better and why. The surface area increases by cm2​

Answers

First size: SA1 = 2B + Ph, where B = area of the base of the figure, P = perimeter of the base and h = height

SA1 = 2(12*7,2) + (12+7,2)*31 = 172.8 + 595.2 = 768 cm^2

Second size: SA2 = 2B + ph2 (where h2 is the new height, 31.9 cm)
SA2 = 2(12*7,2) + (12+7,2)*31.9 = 785.28 cm^2

It increases (by rounding it down) by 17 cm^2.

any answer needed for practice for next subject study

Answers

Answer:

The Stores profit is 70% or $59.5

How?

The reason is because if it's selling it for 100% of the price, then that means that the store bought it for 85 dollars, and it's selling it for 85 dollars, and that's 0% profit. But because the store has bought it for 100%, and then it's charging another 70% of the price, so the store's profit is 70%.

Now, we find 70% of 85 dollars, which will be the STORE'S PROFIT AMOUNT!

1. Convert percentages into fractions or decimals

For fraction: divide 70 by 100 and remove the % sign.

[tex]{70}\%=\frac{70}{100}[/tex]

For decimal: move the decimal point 2 places to the left and remove the % sign.

[tex]{70}\%=0.7[/tex]

2. Multiply the decimal or fraction by the quantity that equals 100%

[tex]100[/tex]%[tex]=85[/tex]

[tex]\frac{70}{100} *85=0.7*85=59.5[/tex]

70% of 85 is 59.5Store's profit is $59.5

Extra info:

170% of 85 = 144.5

70% of 85 = 59.5

PLEAAAAAAAAAAAASEEEEEEEEEEEEE HELP!!!!!!!!! | In your own words, describe when you should use area, and when you should use volume in calculating the amount of space an object occupies.

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If you plan on using area you’d use it for measurements of a room or a farm to figure out how many square feet it is. When using volume you’re figuring out how much of something can fit in that something. for example, you’d need to find the volume of a popcorn bucket in order to find out how much popcorn can fit without overfilling

The amount of space an object occupies is known as volume.

What is the area?

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

What is the volume?

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The amount of space an object occupies is known as volume.

More about the volume and area link is given below.

https://brainly.com/question/15585435

#SPJ3

Pattern A has a starting term of 0 and the rule add 4 Pattern B had the starting term of 0 and the rule subtract 8
For the two patterns:

a) list the first five terms of each pattern

b) graph ordered pairs from each pattern using blue for pattern A and orange for Pattern B

c) describe the relationship between corresponding terms of each pattern

d) explain why this relationship exists between the corresponding terms.

Answers

Answer:

a) pattern a: 4,8,12,16,20

   pattern b: -8,-16,-24,-32,-40

0,4, 8, 12, 16 are the five terms of pattern A and 0,-8, -16, -24, -32 are the five terms of pattern B and the relationship between both the patterns is linear.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

For pattern A:

0, 0+4, 4+4=8, 8+4=12, and 12+4=16

I.e 0,4, 8, 12, 16 are the five terms of pattern A

For pattern B:

0, 0-8=-8, -8-8=-16, -16-8=-24, -24-8=-32

I.e 0,-8, -16, -24, -32 are the five terms of pattern B

The relationship between two patterns is linear

The relationship exist between two patterns because both sequences are arithmetic sequences

Hence, 0,4, 8, 12, 16 are the five terms of pattern A and 0,-8, -16, -24, -32 are the five terms of pattern B and the relationship between both the patterns is linear.

To learn more on Sequence click:

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I need this Asap!!!!!! please

Answers

Answer:

Not me I'm not smart

Step-by-step explanation:

I do not pay attention

I think that letter D is true.

step by step explanations get brainliest. i dont understand how to do it and i need an explanation.

Answers

Answer:

[ 22 ]

Step-by-step explanation:

First you gotta add the cubes inside of it to find the volume then the ones outside you have to take them out and slant them then you have to fill the whole thing up and there you go [or you can just add all the numbers together for a easier explanation. ] Sorry if its wrong! ~Bread

Answer:

68 in³

Step-by-step explanation:

To find the volume of the figure, we first need to find the volumes of the 2 triangular prisms and 1 rectangular prism.

Triangular prism

[tex]{\boxed{\text{Volume}= \text{base area ×height}}}[/tex]

The base area here is the area of the triangular face, since it is the face that repeats itself throughout the entire length/height to form the volume of prism.

Base area

= area of triangle

= ½(base)(height)

= ½(2)(3)

= 3 in.

Height= 2 in.

Volume

= 3(2)

= 6 in³

Volume of rectangular prism

Volume

= base area ×height

= length ×breadth ×width

= 14(2)(2)

= 56 in³

Total volume

Volume of figure

= 2(6) +56

= 12 +56

= 68 in³

Can someone please help me asap!

Answers

the first on on top is six hundred eighty six and nine hundred seventy one thousandths

A football gained 11 yards on each of 8 plays. How many yards did they gain?

88
19
20
-80

Answers

Answer:he gained 88 yards

Step-by-step explanation: just do 11x 8 and you will get 88

so therefore the best option is a have a great day

Answer: Hello your answer would be, [tex]88[/tex].

Step-by-step explanation:

If a football gained 11 yards each play 8 times, you multiply

[tex]11*8[/tex]

Cancel yd

[tex]\frac{11}{8}[/tex]

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be[/tex] [tex]A.[/tex] [tex]88[/tex]

During a sale, a clothing store discounts all prices by the same percentage. A pair of jeans is marked down from $45.00 to $33.75.

Answers

I think the answer is c
The answer is D because 45.00 - 33.75 = 11.25. Then you do 65.00 - 11.25 = 53.75

One package of popcorn makes 1000 cubic inches of popcorn. The movie theatre sells the popcorn in cone shaped containers. The containers have a radius of 3 inches and a height of 8 inches. How many containers can the movie theatre fill from one package of popcorn?

Answers

Answer:

13.3, but you can't sell 0.3 so round to the nearest whole number, which is 13.

Step-by-step explanation:

Find the volume of the cone package.

[tex]V = \frac{\pi r^{2}h }{3} \\V=\frac{3.14(3^{2})(8) }{3} \\V= \frac{25.12(9)}{3} \\V = \frac{226.08}{3} \\V=75.36[/tex]

Now divide the total cubic inches, 1000, by the volume of one cone package.

1000/75.36 = 13.3

heeelellllllllppppppppp

Answers

i think the answer would of been c!
answer: 2/5
explanation: because

At the football game 7/13 of the fans were rooting for the Cowboys. The rest were rooting for the huskies. What was the ratio of Cowboys fans to Huskies fans?

Answers

Answer:

7:6

Step-by-step explanation:

cowboys + huskies = total fans

7/13. + huskies = 13/13

huskies = 13/13 - 7/13 = 6/13.

Ratio of cowboys to huskies is

7/13 : 6/13

= 7 : 6

Answer: 7:6

Step-by-step explanation:

The total is 13.

7 vote for cowboys

Step 1: Find how many voted for Huskies

13/13- 7/13= 6/13

Therefore 6 people voted for huskies.

Step 2: Form ratio

7:6

Hope this helps :)) brainliest would be appreciated :D

ASAP am i correct?
which two transformations when both performed on rectangle 1 will show it is similar to rectangle 2

Answers

Answer:

Its A and C. Since you need a reflection then a dilation to result in that image.

Yes u are correct and yes everyone is 20-

pls help asap

question 1. A card is pulled from a standard deck of cards. Find the probability of getting a 2 or King.

question 2. A 6-sided number cube is rolled. Find the Probability of NOT getting a 2 or 5.

Answers

Answer:

question 1) 8/52

question 2) 2/3

Step-by-step explanation:

question 1) there are 52 cards in a standard deck. Of those 52 cards there are 4 of each card (e.i 4 aces, 4 kings, 4 tens, etc.). So, 4 of 52 cards are 2s and 4 of 52 cards are Kings. 4 + 4 is 8, so the probability of getting a 2 or a King is 8/52.

question 2) There are 6 numbers on a 6-sided number cube-- 1, 2, 3, 4, 5, 6. The numbers 2 and 5 can be crossed out because we want to find the probability of NOT getting a 2 or 5. This leaves you with the numbers 1, 3, 4, and 6. That is 4 of 6 numbers. Therefore the probability of NOT getting a 2 or 5 is 4/6. We can simplify 4/6 to 2/3.

485588448383992929294848575859494939

Please help me with this I would give you 50 points.

Answers

Melanie has to pay $81.25

Find n. 8/12 = n/48. n = ?

Answers

Answer:

n = 32

Step-by-step explanation:

Given:

[tex]\frac{8}{12}=\frac{n}{48}[/tex]

Solve:

[tex]\mathrm{Cross\; Multiply:}[/tex]

[tex]\frac{8}{12}=\frac{n}{48}[/tex]

[tex]\mathrm{48\times8=384}[/tex]

[tex]\mathrm{384\div12=32}[/tex]

[tex]\mathrm{Hence,n=32}[/tex]

~[tex]\mathrm{[Kavinsky]}[/tex]

32 step-by-step explanation 8 x 48is equal to 384 384 divided by 12 is 32 8: 12 = 32 : 48

hurry ill give brainly and 19 points

Answers

Answer: 144 in^2

Step-by-step explanation: First find the area of the base. With squares A=lxw . So, 6x6=36. Then find the area of each triangle, where A= HxL/2. So 9x6=54. 54/2=27. Since there are four triangles we multiply this by four and then add the base. 27x4=108. 108+36=144

Answer:

The other person is correct

Step-by-step explanation:

Got it right on the test!! <3

Pls answer I will mark brainliest

Answers

Answer: 41 degrees

Step-by-step explanation:

Given Values : 90 degrees & 49 degrees

Solve : 90 + 49 = 139

Since the sum of all sides of a triangle is supposed to add up to 180 degrees, subtract 180 - 139, and you will end up with 41 degrees.

answer: 41 degrees

adding all angles of a triangle gives you 180°. so we know a right angle is 90, and theres another 49. lets add 90 and 49 together, that gives you 139. now last but not least, subtract 180 from 139, and that gives you 41.

Write and solve a proportion to answer the question. (Skills Review Handbook) 20. What percent of 60 is 18?

Answers

Answer:

30%

Step-by-step explanation:

1) Set a linear equation

[tex] \frac{18}{60} = \frac{x}{100} [/tex]

2) Cross multiply

[tex]60x = 18 \times 100[/tex]

3) Multiple the right side

[tex]60x = 1800[/tex]

4) Divide both side by 60

[tex] \frac{60x}{60} = \frac{1800}{60} [/tex]

5) Solve the linear quation

[tex]x = 30[/tex]

The 30% of 60 is 18

Algebra Q92:
0.5 x 80 + 0.3x = 0.4(80 + x)
Find 2x.

Answers

Answer:

160

Step-by-step explanation:

0.5 x 80 + 0.3x = 0.4(80 + x)

0.5 x 80 + 0.3x = 32 + 0.4x

40 + 0.3x = 32 + 0.4x

-32             -32

8 + 0.3x = 0.4x

   - 0.3x    -0.3x

8 = 0.1x

/0.1 /0.1

80 = x

2x so... 2(80)... 2x = 160

40+0.3x=32+0.4x
40-32=0.4x-0.3x
8=0.1x
80=x
2x=160

If my current grade is a 65.50 percent and I get an 98 percent on a 60 point test what will be my new percentage

Answers

Answer:

81.75%

Step-by-step explanation:

98 percent on a 60 point test is 59/60

65.50+98/2 = 81.75%

Answer- 81.75%
Explanation-
59/60
98/2 + 65.5= 81.75

Brainliest to correct answer! Explain how you got your answer as-well please! Thanks amazing person!

Answers

Answer:

7/12

6/12

13/12

Step-by-step explanation:

For the denominators (12, 6) the least common multiple (LCM) is 12,

Equivalent Fractions with the LCD,

7/12 = 7/12 × 1/1 = 7/12

3/6 = 3/6 × 2/2 = 6/12

7/12 = 7/12

3/6 = 6/12

7/12 + 6/12 = 13/12

please help me guys .......... tinks

Answers

Pretty sure the rule is to divide by 3

Answer:

divide by 3 ok bye

The principal observes 8th grade the following day. Of the 120 students, 42 brought their lunch from home, 72 purchased lunches, and 6 brought a lunch from home and purchased an ice cream. Explain how the principal could use the numbers from 7th grade to predict the 8th grade possibilities.

Answers

Answer:

a ; 24

Apoximenly the same as 8th grade.

A bowl contains 4 tangerines and 5 clementines. John randomly selects one piece of fruit, and then Pam randomly selects one of the remaining pieces of fruit. What is the probability that John selects a tangerine and Pam selects a clementine? Show all work and this is a independent/dependent question.

Answers

Answer:

5/18

Step-by-step explanation:

There are 9 pieces of fruit in the bowl,  tangerines and 5 clementines.

Assuming that they do not put the fruit back

P (tangerine) = number of tangerines/ total = 4/9

Then John keeps his and there are  8 pieces of fruit in the bowl,  

3 tangerines and 5 clementines.

P (Clementine) = number of clementines/ total = 5/8

P (tangerine, no replacement, Clementine) = P (tangerine) * P (Clementine)

                                                                       = 4/9 * 5/8 =5/18

ill give brainly but hurry

Answers

Answer: 340
Explanation: A

Answer: the answer is 440 cm sq

Step-by-step explanation: since the formula is a+b/2 x h

where a is 19 cm ,

b is 25 cm and

h is 20 cm

Solve the following inequality. Negative one-half p less-than negative 16 Which graph shows the correct solution? A number line going from 27 to 37. An open circle is at 32. Everything to the right of the circle is shaded. A number line going from 27 to 37. An open circle is at 32. Everything to the left of the circle is shaded. A number line going from 3 to 13. An open circle is at 8. Everything to the left of the circle is shaded. A number line going from 3 to 13. An open circle is at 8. Everything to the right of the circle is shaded.

Answers

Answer:

I'm a little rusty on this subject so if this answer is wrong then please forgive me if I'm wrong.
it would probably be answer 1, the one at the top.

Step-by-step explanation:

So, if you gather -1/2 and then flip which makes -2/1 to cancel it out, then you do the same with -16, and then put -16/1(-2/1) then multiply -16 and -2, which will give you 32. Because the equation is now p<32, it would be an open circle going to 32 or higher. Hope this helps, and if sorry if this is wrong, It's been a while since I've revisited this subject!

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