If the area of the trapezoid shown is 200 square feet, what is the height h of the trapezoid?

If The Area Of The Trapezoid Shown Is 200 Square Feet, What Is The Height H Of The Trapezoid?

Answers

Answer 1

Answer:

[tex]\frac{400}{(10\sqrt{2} + 14\sqrt{3}) }= h[/tex]   or  10.42 = h

Step-by-step explanation:

The area of a trapezoid is [tex]A = \frac{1}{2}h(b_{1} + b_{2} )[/tex].

[tex]200 = \frac{1}{2}h(10\sqrt{2} + 14\sqrt{3})[/tex]

[tex]400 = { h(10\sqrt{2} + 14\sqrt{3} )[/tex]             Multiply both sides by 2

[tex]\frac{400}{(10\sqrt{2} + 14\sqrt{3}) }= h[/tex]

 [tex]\frac{400}{38.39} = h[/tex]

10.42 = h  


Related Questions

How many times farther is Jupiter from the Sun than Venus? How many times farther is Saturn from the Sun than Mars? Round your answers to the nearest tenth.

Answers

The Jupiter is 6.93 times farther  from the Sun than Venus

The Saturn is 6.29 times farther from the Sun than Mars

Distance between the sun and Jupiter = 748.02 million km

Distance between the sun and venus = 108.01 million km

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 748.02/108.01

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 6.93

Therefore, the Jupiter is 6.93 times farther  from the Sun than Venus

Distance between the Sun and Saturn = 1.4823 billion km = 1482.3 million km

Distance between the Sun and Mars = 235.66 million km

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 1482.3/235.66

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 6.29

Therefore, the Saturn is 6.29 times farther from the Sun than Mars

Learn more here: https://brainly.com/question/25729845

Help meeeeeeeeeeee PLS ASAP

Answers

Answer:

A

Step-by-step explanation:

Answer:

angle 1 and angle 5

Step-by-step explanation:

Evaluate each function for the given value of x, and write the input x and
output f(x) as an ordered pair.
18,20,22,24

Answers

Answer:

18) 3

20) -65

22) 12/5

24) -5/2

Step-by-step explanation:

18)  f(-5) = -[2(-5)+1] / 3

= -(-10+1)/3

= -(-9)/3

= 3

20) f(7) = -9(7)-2

= -63-2

= -65

22) f(-1) = -[(12 · -1)]÷5

= -(-12)÷5

= 12/5 or 2 2/5

24) f(9) = 2/9(9) - 9/2

= 2 - 9/2

= 4/2 - 9/2

= -5/2 or -2 1/2

Is -1/2 equivalent to - 1/2

Answers

Answer:

Yes

Step-by-step explanation:

- 1 / 2 = - 1 / 2

Both are equal.

how do I solve this linear inequality?
5x - 7 > 4x + 8

Answers

Step-by-step explanation:

just like an equation.

5x - 7 > 4x + 8 | -4x + 7

x > 15

and that is your result.

in contrast to an equation, an inequality delivers a range as result and not a single point.

Answer:

[tex]\huge\boxed{\sf x > 15}[/tex]

Step-by-step explanation:

5x - 7 > 4x + 8

Subtract 4x to both sides, and Add 7 to both sides

5x - 4x > 8 + 7

x > 15

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

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4
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Leave your answer in surd form.

Answers

[tex](x_1, y_1) = (2,-4) ,~~~(x_2 , y_2) = (4,3)\\\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\\=\sqrt{(4 - 2)^2 + (3+4)^2}}\\\\=\sqrt{2^2 + 7^2} = \sqrt{4+49} = \sqrt{53}[/tex]

Which set of ordered pairs does not represent a function?
a
O{(-6, -9), (-2, -3), (–9,2), (2, -3)}
O {(-2,0), (-5,8), (7,9), (6,8)}
O {(6,9), (-7,8), (1, –4), (8,8)}
O{(-2, -6), (-1,2), (-2, – 7), (6,6)}
Submit Answer

Answers

Answer:

Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}

Step-by-step explanation:

Definitions:A function is a relation for which no two ordered pairs have the same first component (or x-values) and different second component (y-values). The set of first components is the input, also referred as the domain. The set of second components is the output, also referred as the range.

In order to determine whether a given relation is a function, one must always take notice of the x-values ⇒ make sure that an x-value does not have more than one corresponding y-value.

Solution:

Option 1:  {(-6, -9), (-2, -3), (–9,2), (2, -3)}  ⇒ This relation is a function. Each input has one corresponding output.

Option 2: {(-2,0), (-5,8), (7,9), (6,8)}   ⇒ This relation is also a function. Each input has one corresponding output.

Option 3: {(6,9), (-7,8), (1, –4), (8,8)}  ⇒ This relation is also a function. Each input has one corresponding output.

Option 4:  {(-2, -6), (-1,2), (-2, – 7), (6,6)} ⇒ This relation is not a function. The x-value, x = -2, has two corresponding y-values: y = -6, and y = -7.

Therefore, the correct answer is Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}.

Answer:

the last one {(-2, -6), (-1,2), (-2, – 7), (6,6)}

Step-by-step explanation:

it has 2 of the same x values with 2 different y coordinates, in other words it fails the vertical line test.

2 2/3×2 2/5 please answer quickly

Answers

Answer: 6.4 and in fraction form 32/5

Answer:

32/5 or 6 2/5 which 6 2/5 is the simplified answer

Step-by-step explanation:

so first you want to turn your mixed numbers( 2 2/3 and 2 2/5) into fractions

so you turn 2 2/3 into a fraction by multiply 2 times 3 + 2 and you keep the denominator so it would be 8/3

Then you would do the same for the other one 2 times 5 +2 and that would be 12/5

The multiply 8/3 times 12/5 but cross simplify 3 and 12 make 12 four and make 3 one

so then your problem should look like this 8/1 times 4/5 and the answer is 32/5 or if you simplify it would be 6 2/5

'Hope this helped

A shark is 205 feet below sea level, it rises 80 feet towards sea level, then 25 points
drops 40 feet. What is the current elevation?
Captionless Image

Answers

Answer:

165 feet below sea level.

Step-by-step explanation:

205 - 80 = 125

125 + 40 = 165

Solve the equation for x.

x-8 = 2​

Answers

Answer:

x=10

Step-by-step explanation:

Could someone explain how to convert from slope intercept form: y=mx+b to standard form: ax+by=c because I don’t understand
Don’t copy from the internet pls

Answers

Answer:

basically you move the y and x to one side and the constant to the other

for example if we had 2y=-5x+6, you'd move the 5x other to the other side by adding 5x and you'd get 5x+2y=6

b. Write an equation of the line perpendicular to
x + 2y = 6 through (8,3).

Answers

Answer:

y = 2x + 13 or -2x + y = 13

Step-by-step explanation:

1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...

2y = -x + 6 - > y = -1/2x + 3

2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...

y = 2x + b

3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)

3 = 2(8) + b

3 = 16 + b

-13 = b

b = 13

4) Now, we know that b = 13 and the slope is 2. Therefore...

y = 2x + 13

Also note, if you want this equation in standard form, it would be...

-2x + y = 13

please help!! thanks!

Answers

Answer:

A.) Yes

Step-by-step explanation:

Plug in (3,2) into both equations ....

2(3) - 3(2) = 0

2(3) + 2 = 8

Then solve ....

2(3) - 3(2) = 0

6 - 6 = 0

0 = 0

2(3) + 2 = 8

6 + 2 = 8

8 = 8

Since both equation are true the solution (3,2) is true

Find the equation of a line that passes through the point (3,4) and has a gradient of 4.
Leave your answer in the form
y=mx+c

Answers

Answer:

The equation of a line in the slope-intercept form is:

y = 5x - 18

The slope-intercept form of the line equation

where

   m is the slope

   b is the y-intercept

In our case, we are given

   m = 5

   Point (4, 2)

now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept

y = mx + b

2 = 5(4) + b

20 + b = 2

subtract 20 from both side

20 + b - 20 = 2 - 20

b = -18

now substituting b = -18 and m = 5 in the slope-intercept form of the line equation

y = mx + b

y = 5x + (-18)

y = 5x - 18

Therefore, the equation of a line in the slope-intercept form is:

y = 5x - 18

Pls mark me as brainliest thank you

Answer:

Step-by-step explanation:

m = 4

y = mx +c

y= 4x + c

Plugin x = 3 and y= 4 in the above equation

4 = 4*3 + c

4 = 12 +c

4 - 12 = c

c = -8

Equation of the line :

y = 4x - 8

a hockey team earns 2 points for a win,1 point for a tie, and 0 points for a loss. the number of points earned can be calculated using this formula
P = 2x + y where P = number of points
x = number of wins
y = number of ties
How many points would a team earn if they played 52 games, won 24 and lost 19?

Answers

Answer: 57

Step-by-step explanation: First add the won and lost games then subtract the sum from the total games played to determine how many games were tied. Then take the won games and multiply them by 2, take the tied games, and add them together to get your answer: 57.

How do you write 7460 in standard form?

Answers

Answer:

7460

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

7460

Answer:

a = 7.46

7.46 x 103

103 = 1,000 x 7.46 = 7,460

here your answer

hope it helps you

Tahap risiko unit amanah?​

Answers

Step-by-step explanation:

Tahap risiko unit amanah?

Please help! Will mark brainliest.
Convert into an exponential expression.

Answers

Answer:

Step-by-step explanation:

5√7²=5√49=9.8

easy one for you folks.​

Answers

Answer:

2/5

Step-by-step explanation:

Six out of 15 are full.

[tex]\dfrac{6}{15}=\dfrac{2*3}{5*3}=\dfrac{2}{5}[/tex]

PLEASE HELP

What is required in order to win a game of pickleball?

Group of answer choices


The winning team must serve.


The winning team must smash the ball.


The winning team must return service.

Answers

Answer:

I think A

Step-by-step explanation:

Unlike tennis or badminton, only the serving team can win a point.

Answer:

I believe its c but I barely know how to play that

PLZ help I need to answer quickly!​

Answers

Answer:

4.2

Step-by-step explanation:

All sides are proportional, so choose a pair and find the proportion

Ex: AB and JK = 7/5=1.4

so each side is multiplied by 1.4 to get the larger figure

So 3*1.4=4.2

helppp plz is fue today

Answers

Answer:

Step-by-step explanation:

A CHOOSE A

Answer:

A

Step-by-step explanation:

 sorry:c

What is -2(3x+12y-5-17x-16y+4) simplified?
A) -40x+8y+2
B) 28x+8y+2
C) 28x+6y+2
D) -28x-8y+2

Answers

Answer: B

Step-by-step explanation:

Multiply everything in the bracket by -2 and combine like terms

Answer:

It's B

Step-by-step explanation:

8

After a reflection over the line y=-2, which direction will the arrow be facing?

Down

Right

Up

Left

Answers

down because it will be positive two now.

what is the inequality for the graph

Answers

Y >= 2X - 5

Step-by-step explanation:

yeah-ya..... right?

The coefficient in the formula above tells us there are:


Question 5 options:


eight Carbon atoms



18 Hydrogen atoms



2 molecules of octane



28 total atoms

Answers

Answer: the awser is 2 not 6

Step-by-step explanation:

Somebody plz help ????? I need the answer to this

Answers

Answer:

I was thinking it should be -1,2 but that'd not an awnser so B

Which expression has an equivalent value to x2 + 9x + 8 for all values of x?

(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x + 4)

Answers

(2x+1)(2x+8) —> (2x+1)(x+4)

4x – 5y = 15


m=
b=

(I need to graph the linner equation)

Answers

Answer:

yea I agree that this is correct and it's 15 and it's 4x

Antoin has 17.5 kilograms of clay. He divides it evenly into buckets that hold 2.5 kilograms. How many buckets of clay will he have?​

Answers

Answer:

7 buckets.

Step-by-step explanation:

17.5 / 2.5 = 7

Answer:

7

Step-by-step explanation:

17.5/2.5=7

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