The formula for the area of a trapezoid is A=\frac{1}{2}h(b_1+b_2),A= 2 1 ​ h(b 1 ​ +b 2 ​ ), where hh is the height and b_1b 1 ​ and b_2b 2 ​ are the two bases. Rewrite the formula to solve for hh in terms of A,A, b_1b 1 ​ and b_2.B 2 ​ .

Answers

Answer 1

Question

The formula for the area of a trapezoid is A= 1/2h(b1 + b2),

where h is the height and b1 and b2 are the two bases. Rewrite the formula to solve for h in terms of A, b1 and b2​

Answer:

h = 2A/b1 + b2

Step-by-step explanation:

Area of a Trapezoid

= 1/2h(b1 + b2)

Rewriting the formula to solve for h, this means making h the subject of the formula

A = 1/2h(b1 + b2)

Cross Multiply

2A = h(b1 + b2)

Divide both sides by b1 + b2

h(b1 + b2)/b1 + b2 = 2A/b1 + b2

Therefore,

h = 2A/b1 + b2


Related Questions

Use the figure below to find the measure of angle 5

Answers

95
explanation: they are congruent

Karen spent a total of $15.45 on a trip to the movies. She spent $5.00 on a daily bus pass, and $3.95 on movie snacks. How much did she spend on her movie ticket?

Answers

Answer:

$6.50

Step-by-step explanation:

5+3.95+?=15.45

15.45-8.95=6.5

6th grade math yo halp me

Answers

Answer:

9.018

Step-by-step explanation:

Answer: 9.018

Step-by-step explanation:

do 4.5 times 2 which is 9, then 0.4x0.4+0.2 which gives u 9.018.

Hope this help :)

Human skin has a thickness of about 5 * 10-3 meter. A
grain of sand has a thickness of about 1* 10-3 meter.
About how many grains of sand would it take to match the thickness
of human skin?
Grains of Sand
Human Skin
(1 x 10)
(5 x 10-)

Answers

Answer:

human skin is thicker than sand , hope this helps

It will take 5 grains of sand to match the thickness of a human's skin.

What is comparison?

Comparing numbers in maths defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.

Given that, Human skin has a thickness of about 5×10⁻³ meter. A grain of sand has a thickness of about 1×10⁻³ meter.

As we can see the that the measurement of sand grain is greater than that of human skin's measurement, the skin is about  5×10⁻³ meter and sand grain is about 1×10⁻³ meter.

We can say,

5×10⁻³ > 1×10⁻³

The human skin's thickness is 5 times greater than the thickness of a sand grain.

Hence, we have to multiply by 5 to measure of the thickness of a sand grain to make it equal to human skin's measurement,

Hence, It will take 5 grains of sand to match the thickness of a human's skin.

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Which is NOT an example of the three trigonometric reciprocals of sine, cosine and tangent?
A. Cosecant
B. secant
C. theorem
D. cotangent

Answers

C
It’s not even related to the trigonometric reciprocals

The trigonometric function gives the ratio of different sides of a triangle. The option that is not an example of trigonometric reciprocals of sine, cosine, and tangent is theorem.

What are trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

The trigonometric reciprocal of sine, cosine, and tangent are cosecant, secant, and cotangent, respectively. Therefore, the option that is not an example of trigonometric reciprocals of sine, cosine, and tangent is theorem.

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Some friends find a sheet of stickers with 9 gold stars on it. After talking it over, the 3 friends share them fairly.

Answers

they each will get 3 stars, because 9 divided by 3 equals 3!

Answer:

each friend gets 3 stickers

Step-by-step explanation:

9÷3=3

Which number anyone know?

Answers

Answer:

i think its 20 students

Step-by-step explanation:

because 4x5=20

D)2o the reason why it’s 20 is because for 1 tables can take 5 students so for it 4 it will 4times the number of the students

900 people attended a football game. If 25% of the people who attended were teenagers, how many teenagers attended the game?

Answers

answer: i believe it’s 225 but i could be wrong.

explanation: 25% of 900 is 225

The football game was attended by 225 teenagers out of 900 people who attended the game.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The number of teenagers who attended the game can be calculated by finding the percentage of people who were teenagers. The word formula for the calculation as;

Number of teenagers in the game = 900 × 25%

Writing the percentage as fraction;

Number of teenagers in the game = 900 × 25/100

Cancelling zero as common in numerator and denominator

Number of teenagers in the game = 9 × 25

Performing multiplication on Right Hand Side of the equation

Number of teenagers in the game = 225

Hence, there are 225 teenagers.

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what is the ratio to 4 apples and 2 bananas i need answers asap plzzzzz

Answers

Answer:

4:2 or 4/2 or 4 to 2

Four apples for every 2 bananas.

Step-by-step explanation:

Hope this helps! <3

Caiden got on a elevator and he forgot what floor he was going to so he pressed the last floor. The elevator ascended 12 floors, then descended 5 floors. Before Caided realized where he was, the elavator ascended 8 floors and Caiden got off. On what floor did Caiden get off

Answers

Answer:

The answer is floor 15

Step-by-step explanation:

12-5=7

7+8=15

Perla visits the library every 4days pedro visits it every 5 days. not counting the first day,on what day will they meet again in the Library? A)day 10 B) day 12 C)day 20 D)day 14​

Answers

Answer:

I believe it's C a.k.a 20

Step-by-step explanation:

5x4: 20

i’m pretty sure it’s C

x - y = -11/3
What is the slope?

Answers

Answer:

m=1

Hope this will help.

The slope for this equation is 1



Maxx buys 4 pounds of avocados and spends $14. How much does ONE pound of avocados cost?
Skip
93
2
Answers
A $2.85
$3.50
$3.75
More than $79

Answers

Answer:

the answer is 3.50 a pound

Answer:

It's 3.5 of a pound

Step-by-step explanation:

3.5 x  4 = 14

Find the volume of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

v=  π r2 h

Step-by-step explanation: the answer for ur question :)

How to solve x^4 -10x^2 +9

Answers

Answer:

(x² - 9)(x² - 1)

Step-by-step explanation:

Using Quadratic trinomials

Factor x⁴ - 10x² + 9

Step 1: Find the two integers whose product of 9 and whose sum of -10

Product

-9 × -1 = 9

Sum

-9 + -1 = -10

Step 2: Use -1 and -9 to complete the factors

x⁴ - 10x² + 9 = (x² - 9)(x² - 1)

Step 3: Use the foil method to check the factors

(x² - 9)(x² - 1) = x⁴ - 1x² - 9x² + 9 = x⁴ - 10x² + 9

if line j is parallel to line k, what is the value of x?​

Answers

x = 15


6x + 3 = 93
- 3 - 3


6x = 90

90/6 = 15

9d + n = 5r

I need to find the answer for d

Answers

Answer:

n = 4

Step-by-step explanation:

separate the variables

subtract 9 from 5 and you get n=4

Answer:

d = (5/9)r - (1/9)n

or

[tex]d = \frac{5r - n}{9}[/tex]

Step-by-step explanation:

9d + n = 5r

     - n       -n

9d = 5r - n

[tex]d = \frac{5r - n}{9}[/tex]

Mrs. Oliver has a stick that is 5 feet 8 inches. How many inches long is the stick?

Answers

Answer: 68

Step-by-step explanation:

if there are 12 inches in a foot and there are 5 feet then that multiplies to 60 inches, simply add the extra 8 and you get 68

Answer:

68 inches.

Step-by-step explanation:

So we know that 1 feet equals to 12 inches.

We just need to multiply 12 by 5 and then plus 8. Which will give us 68.

To do this, we must first put the 8 aside.

Then we multiply, 12x5=60, then we bring back the 8 in.

60+8=68.

So the answer is 68 inches

what is an equivalent fraction to -5/25

Answers

Answer:

stinkey monkey :3

The equivalent fraction to -5/25 will be -1/5. Since the value of both fractions is the same as a result represented as the equivalent fraction.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that the expression is, -5/25.

We have to find the equivalent fraction for the given expression.

Equivalent fractions are two or more fractions that, although having various numerators and denominators, are all the same. 1/5, for instance, is equal to  -5/25. The fraction is always expressed in its simplest form, "one-fifth."

Thus, the equivalent fraction to -5/25 will be -1/5. Since the value of both fractions is the same as a result represented as the equivalent fraction.

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At a charity bike rally, 2/3 of the student population of Heartsworth Middle School participated. If there are 1,200 students at Heartsworth, how many participated? Write in simplest form

Answers

Answer:

800 students

Step-by-step explanation:

1200/3=400

400×2=800

Alexander is in the business of manufacturing phones. He must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. Let CC represent the total cost, in dollars, of producing pp phones in a given day. A graph of CC is shown below. Write an equation for CC then state the yy-intercept of the graph and determine its interpretation in the context of the problem.

Answers

The linear function that defines C is given as follows:

C(x) = 400 + 100x.

The y-intercept of 400 represents that the fixed cost of producing zero phones on a day is of $400.

What is the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

m is the slope, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept, representing the value of the output variable y when the input variable x has a value of zero, meaning that it is the value of y at which the function crosses the y-axis.

From the image given at the end of the answer, the values of these parameters are given as follows:

m = 100, b = 400.

The y-intercept of 400 are the operating costs of the company, as they have to be paid even when zero phones are produced, and thus the equation is given as follows:

y = 100x + 400.

Missing Information

The graph is given by the image shown at the end of the answer.

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Lindy is going to New England to visit her brother for spring break and wants to know what the weather will be like. Her brother is a chemist, so naturally he tells her it is expected to be 272 Kelvin while she is in town. Can you help her find the temperature in °F so she can know if she should pack a jacket or not?

Answers

Answer:

29.93° F

____________________

The value of the temperature of 272 Kelvin in Fahrenheit is 29.93° F.

How to Convert Kelvin to Fahrenheit?

To convert Kelvin to Fahrenheit, enter the supplied value into the below k to f formula. The following are the procedures for converting k to f (Kelvin to Fahrenheit):  °F = (K − 273.15) × 1.8 + 32.

Substitute the given value (in K) in the formula:

Then simplify the expression and find the solution.

Then write the final answer in °F.

To determine the temperature in °F when it is in 272° Kelvin

We need to substitute the value of K as 272 in the K to F formula given above.

⇒ °F = (272 − 273.15) × 1.8 + 32

⇒ °F = -1.15 × 1.8 + 32

⇒ °F = -2.07+ 32

⇒ °F = 29.93°

Therefore, the value of 272 K in Fahrenheit is 29.93° F.

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One endpoint of a line segment has coordinates represented by (x+6, 1/3y). The midpoint of the line segment is (2,−5). How are the coordinates of the other endpoint expressed in terms of x and y?

Answers

Answer:

The coordinates of the other endpoint are [tex]B(x,y) = \left(-x-2, -10-\frac{1}{3}\cdot y\right)[/tex].

Step-by-step explanation:

Let [tex]AB[/tex] a line segment in which [tex]M[/tex] is the midpoint. If both [tex]A[/tex] and [tex]M[/tex] are given, then we determine the location of [tex]B[/tex] from definition of midpoint. That is:

[tex]\frac{1}{2}\cdot \vec A + \frac{1}{2}\cdot \vec B = \vec M[/tex] (Eq. 1)

Where:

[tex]\vec A[/tex], [tex]\vec B[/tex] - Endpoints with respect to origin, dimensionless.

[tex]\vec M[/tex] - Midpoint with respect to origin, dimensionless.

[tex]\vec A + \vec B = 2\cdot \vec M[/tex]

[tex]\vec B = 2\cdot \vec M - \vec A[/tex]

If we know that [tex]A(x, y) = \left(x+6,\frac{1}{3}\cdot y \right)[/tex] and [tex]M(x, y) = (2,-5)[/tex], then the coordinates of [tex]\vec B[/tex] are:

[tex]\vec B = 2\cdot (2,-5)-\left(x+6,\frac{1}{3}\cdot y \right)[/tex]

[tex]\vec B = (4,-10)-\left(x+6,\frac{1}{3}\cdot y \right)[/tex]

[tex]\vec B = \left(-x-2, -10-\frac{1}{3}\cdot y\right)[/tex]

The coordinates of the other endpoint are [tex]B(x,y) = \left(-x-2, -10-\frac{1}{3}\cdot y\right)[/tex].

Answer:

(−2−x,−10−1/3y)

Step-by-step explanation:

-6n - 20 = -2n + 4(1 - 3n)

Answers

The answer is n=3 :)

what is the equation of the line?​

Answers

Answer:

A is the correct answer

Step-by-step explanation:

You subtract y2-y1 / x2-x1. So that would make 5-1/12-6 which equals 4/6

Leshawn was asked to sketch the graph of a linear
function that is increasing for all values of x. Which
end behavior shouid his graph show? 7

Answers

Answer:

do you have a photo ? to go with it

Step-by-step explanation:

which is the function represented by the table?

Answers

Answer:

fx= x+5

Step-by-step explanation:

What is the value of this expression -51/4 - ( - 1 1/2 +3 3/4) ?

Answers

Answer:

-15

Step-by-step explanation:

just used a calculator

Answer:

After you enter the expression, Algebra Calculator will print a step-by-step ... Here are some examples: y=2x^2+1, y=3x-1, x=5, x=y^2. To graph a point, enter an ordered pair with the x-coordinate and y-coordinate separated by a comma, e.g., (3,4

Step-by-step explanation:

agen simple math for a middle school student

please answer this for me

Answers

Answer:

x=409

Step-by-step explanation:

you just solve, -15+5x=2030

add 15 both sides->5x=2030

divide by 5 both sides-> x=409

Answer:

409

Step-by-step explanation:

Mark as Brainliest!!! Hopes This Helps:)

4y(3x + 2) − 2(3x + 2)

Answers

Answer:

12xy+8y-6x-4

Step-by-step explanation:

4y(3x+2)-2(3x+2)

12xy+8y-6x-4

4x3=12+2-(3x+2 7 hjkkhh
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