Why does that formula make sense?

Why Does That Formula Make Sense?

Answers

Answer 1
According to the trapezoid area formula, the area of a trapezoid is equal to half the product of the height and the sum of the two bases. Area = ½ x (Sum of parallel sides) x (perpendicular distance between the parallel sides).

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Answer 2

Answer:

Step-by-step explanation:

Draw two lines vertically down from side "A" to "B"...you now have three objects ... to triangles, and one rectangle.... the area of the rectangle is "AH"...now you have two triangles, that have area 1/2 base*height... the height is "H" and the base .... well it is (B-A)/2... so the area of the two triangles are ..... (2)*(1/2)*((B-A)/2)* H.... The total area is .... AH + (2)*(1/2)*((B-A)/2)* H .... 2* 1/2 = 1 so now we have AH +   ((B-A)/2)* H .... to help see this let us write it as AH + H(B-A)/2 .. expand the right H.... AH + BH/2 - AH/2.......

you end up with : AH - AH/2 + AB/2 ...

AH - AH/2 =  AH/2

BH/2 = BH/2

final answer : AH/2 + BH/2

factor out the 1/2 and H ..... 1/2 H (A+B)


Related Questions

Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.
• What score does Tyrone need in the fifth game so that his mean score is 125?
• Explain your reasoning or show all of your work.

Answers

Answer:

He should measure the length of the bowling alley using meters

Step-by-step explanation:

The score does Tyrone need in the fifth game so that his mean score is 125 is 168.

What is an arithmetic mean?

It is defined as the sum of all observations divided by the number of observations.

Given

Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.

[tex]\frac{120+123+105+109+x}{4+1} =125[/tex]

⇒ [tex]\frac{457+x}{4+1} =125[/tex]

⇒ [tex]\frac{457+x}{5} =125[/tex]

⇒ [tex]{457+x} =125[/tex] × [tex]5[/tex]

⇒ [tex]{457+x} =625[/tex]

⇒ [tex]x =625-457[/tex]

⇒ [tex]x =168[/tex]

Hence, the score does Tyrone need in the fifth game so that his mean score is 125 is 168.

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Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3

Answers

Answer:

512

Step-by-step explanation:

when q = 2, w = 3

4q(q + 3w)^2

= 4(2) ((2)+3(3))^2

= 512

Find an equation for the graph shown.

Answers

Answer:

y=-sin(x)

Step-by-step explanation:

y=-sin(x)

the cone and cylinder above have the same radius and height the volume of the cone is 222 cubic cm what is the volume of the cylinder​

Answers

Answer:

Step-by-step explanation:

volume of cone v=1/3πr²h

volume of cylinder V=πr²h

V=3v

volume of cylinder=3×222=666 cubic cm.

What is the factorization of 81a6 - 100? (9a2 − 10)(9a3 + 10) (9a2 − 10)(9a3 − 10) (9a3 − 10)(9a3 + 10) (9a3 − 10)(9a3 − 10)

Answers

Answer:

(9a³ − 10)(9a³ + 10)

Step-by-step explanation:

Difference of squares

(9a³ − 10)(9a³ + 10)

Answer:

What is the factorization of 81a6 - 100?

(9a2 − 10)(9a3 + 10) (9a2 − 10)(9a3 − 10) (9a3 − 10)(9a3 + 10)  <<< CORRECT (9a3 − 10)(9a3 − 10)

Step-by-step explanation:

Oct 2021 Edge

1. Write and solve an inequality that represents the number of months the center could

rent games from NetGames with its $175. Explain the solution in terms of the problem.

Answers

Solution :

Given that the Centre is signing up for a rental game service online rather than buying the game.

The monthly fees and the equipment cost of the two services that is the 'Anytime games' and the 'Netgames' are attached below.

Therefore, the inequality which represent the number that the center can rent the online games from the NetGames is :

175 - 8m ≥ 99

175 - 8m - 99 ≥ 99 - 99    (Subtracting 99 from both side of the inequality)

76 - 8m ≥ 0      (Simplify)

76 - 8m -76 ≥ 0 - 76      (Subtracting 76 from both side of the inequality)

- 8m ≥  - 76 (Simplify)

 8m ≥   76   (removing the minus sign form both sides)

 [tex]$\frac{8m}{8} \geq\frac{76}{8}$[/tex]     (Divide each side of the inequality by 8)

 m  ≥ 9.5

Work out the perimeter of this semicircle.
Take a to be 3.142
10 cm

Answers

Answer:

perimeter=1/2*2πr

Step-by-step explanation:

1/2*2*3.142*10

=31.42

(-32) +(-8) -(+40)+(40)+(78)-(46)​

Answers

Answer:

or -32-8-40+40+78-46=-8

Step-by-step explanation:

Answer:

-8 is the answer!!!!

Step-by-step explanation:

you can use calculaTor

On my other question I posted I forgot to add the attachment, but uh please help down below 3

Answers

Answer:

6 crayons more

Step-by-step explanation:

At Dante's party, each child gets 192/16 = 12 crayons each

At Maria's party, each child gets 234/13 = 18 crayons each.

Therefore, each child at Maria's party gets 18-12 = 6 crayons more each than at Dante's party.

Answer:

answer is 6

Step-by-step explanation:

each child at Dante's party receive 192÷ 16 crayons, which is 12

each child at Maria's party receive 234÷ 13 crayons, which is 18

what number does the 9 have least vaule

Answers

Answer:

The least value is 7.079 because it is in the thousandths place.

subtract 5x-7y+6 from 3x-4y-2​

Answers

Answer:

[tex]2x−3y+8[/tex]

Step-by-step explanation:

[tex](5x−7y+6)−(3x−4y−2)[/tex]

[tex]5x−7y+6−(3x)−(−4y)−−2[/tex]

[tex]5x−7y+6−3x+4y+2[/tex]

[tex]2x−7y+6+4y+2[/tex]

[tex]2x−3y+6+2[/tex]

[tex]2x−3y+8[/tex]

Hope it is helpful...

Solve simultaneous equation x-y=4 and x²+y²=10​

Answers

Step-by-step explanation:

hear is your answer please check attachment

Find the measure of angle c

Answers

64 degrees hope this helps you out

Express the fraction as the sum of two or more fractions with simpler denominators
4/(x-1)(x^2+1)

Answers

Photo math will help

"Darcie wants to crochet a minimum of 333 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal." pls help lol

Answers

Answer:

Ive seen this question before, its supposed to be 3 blancckets and 15 days can be skipped

Step-by-step explanation:

60-45= 15

15 times 3 is 45

A group of 42 monkeys meet in the forest for a swinging competition. The monkeys divide into teams with 8 monkeys on each team. They make as many teams as they can, but not every monkey is in a team. How many teams of monkeys will there be? Answer must be a whole number. How many monkeys remain without a team? Answer must be a whole number.

Answers

Answer:

the a answer is five

Step-by-step explanation:

divide 42 by 8 and round it it up to the closest whole number

Plz find the surface area

Answers

Answer:

What are the answers?

One year, the population of a city was 99,000. Several years later it was 82,170. Find the percent decrease.

Answers

82170/99000=0.83
1-0.83=0.17
answer is 17%

Write the log equation as an exponential equation. You do not need to solve for x:

log(x^2+5x-18)=x+2

Answers

Answer: 10ˣ⁺² = x² + 5x - 18

Step-by-step explanation: The base of the log becomes the base of the power, the right side of the equation becomes the exponent, and the result in the original equation moves to the other side.

Notice that we aren't given a base, so we know that we are

dealing with a common log which has a base of 10.

The equation (x-7)^2 + (y - 6)^2 = 36 represents a Ferris wheel plan displayed on a grid, where each unit represents 1 meter. What is the diameter of the Ferris Wheel? ​

Answers

Answer:

[tex]12m[/tex]

Step-by-step explanation:

we are given a circle equation

[tex] \displaystyle (x - 7 {)}^{2} + (y - 6 {)}^{2} = 36[/tex]

since it's a circle equation where 36 is the square of the redious we can figure out redious by solving the following equation

[tex] \displaystyle {r}^{2} = 36[/tex]

square root both sides:

[tex] \displaystyle {r}^{} = 6[/tex]

remember that,

[tex]\displaystyle d = 2r[/tex]

thus substitute the value of r:

[tex]\displaystyle d = 2.6[/tex]

simplify multiplication:

[tex]\displaystyle d = 12[/tex]

hence,

the diameter of the Ferris Wheel is 12m

PLEASE PLEASE ANSWER ASAP THIS IS DUE TODAY AT 12:00 P.M.!!!!!!!
What is the median of the data set represented by the dot plot? Enter the answer in the box.

Answers

Answer:

5

Step-by-step explanation:

bc look at each end of the plot cross out each dot for each side and it should leave you to the last Colum aka 5

Answer:

The median is 5.

Step-by-step explanation:

First we need to take the data and make it into a set :

3, 3, 4, 5, 5, 5, 6, 8, 8.

These numbers are already in order, so now we find the median. The median is the number in the exact middle of the set. The number in the middle of the set is 5, so that is the median.

Select all the equations
represented by this tape diagram.

A. 6 + 6 + 6 + 6 + 6 = ?
B. 5 + 6 = ?
C. ? = 6.5
D. ? = 6.6.6.6.6
E. ? = 5 = 6
F.5 = ?= 6

Answers

Answer:

D.

is the correct answer

what is the smallest perimeter of area 12 cm can have?


edit: at cm there should have been a small 2 at the top but I forgot just pretend it's there pls.​

Answers

Answer:

14

Step-by-step explanation:

area = lb

4*3 or 6*2 or 1*12

perimeter= 14,16,26

The base salary of 500$ per week plus a commission of 10.5% of sales

Answers

Answer:

salary = $ 500 + 0.105 sales

Step-by-step explanation:

Weekly Income = 500 + 0.105S   where S= weekly sales

in x, y math format that's

y=500+0.105x

Economics often uses Q for quantity and Y for income

so,

Y=500+0.105Q

Hope this answer helps you :)

Have a great day

Mark brainliest

Farah spent $13 on 4 items from the
snack stand at the airport. The
snack stand charges $7 per
sandwiches and $2 per bags of
snack mix. It she purchased a
combination of sandwiches and
snack mix bags, how many of each
food item did Farah purchase?

Answers

Answer:

Farah bought 1 sandwich which cost $7 and three snack mix bags which also cost (2 + 2 + 2)$

2+2+2+7=$13

Please help me.

The table below represents the closing prices of stock ABC for the last five
days. Using your calculator, what is the equation of linear regression that fits
these data?

Answers

Answer:

Step-by-step explanation:

I can tell you how to do this on your calculator, but I have no idea what kind of calculator you have and the methods are different for the various TI graphing calculators, so I'll just tell you that your answer is the last choice given. It's a terrible fit, but if the instructions say linear, the last choice is the equation that the calculator gives.

The regression equation for Y is: ŷ = -0.223X + 20.523

What is Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Sum of X = 15

Sum of Y = 99.27

Mean X = 3

Mean Y = 19.854

The sum of squares (SSX) = 10

The sum of products (SP) = -2.23

Regression Equation = ŷ = bX + a

b = SP/SSₓ = -2.23/10 = -0.223

a = My - bMₓ = 19.85 - (-0.22*3) = 20.523

ŷ = -0.223X + 20.523

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Please help ASAP with number 8 please

Answers

Answer:c

Step-by-step explanation:

Select the correct answer.
Evaluate the following expression when x = -4 and y = 4.
x6-x/4y

Answers

Answer:

[tex]{ \tt{ {x}^{6} - \frac{x}{4y} }} \\ = { \tt{ {( - 4)}^{6} - \frac{ - 4}{4(4)} }} \\ \\ { \tt{ = 4096 + 4}} \\ \\ = 4100[/tex]

The value of the equation ( x⁶ - x ) / 4y = 1025/4 when x = -4 and y = 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( x⁶ - x ) / 4y   be equation (1)

The value of x = -4

The value of y = 4

Substituting the values of x and y in equation (1) , we get

A = ( ( -4 )⁶ - ( -4 ) ) / ( 4 x 4 )

On simplifying the equation , we get

A = ( 4096 + 4 ) / 16

A = 4100 / 16

A = 1025 / 4

Therefore , the value of A is 1025/4

Hence , the value of the equation is 1025/4

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If sin θ = square root of three over two, which could not be the value of θ?

Answers

240 degrees is the only one that could not be a value of theta.

Is anyone good at Spanish ? I need help with Spanish homework. I’ll mark you brainliest

Answers

Answer:

...

Step-by-step explanation:

what help do you need ??

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