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

Given that y varies with directly with x, and that y= 12 when x=3. Then when x=10, y= ?

Answers

Answer:

y = 40

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 12 when x = 3 , then

12 = 3k ( divide both sides by 3 )

4 = k

y = 4x ← equation of variation

When x = 10 , then

y = 4 × 10 = 40

Choose the mixed number that has not been reduced to simplest form.
7 14/18
5 5/6
5 7/12
4 2/5

Answers

Hello there!

7 14/18 is the mixed number that has not been reduced to simplest form.

We can divide the numerator and denominator by 2 to reduce the fraction:

7 7/9

The answer is Option A. Hope this helps!

~Just a cheerful gal

#CarryOnLearning

[tex]SilentNature[/tex]

1 Solve for the unknown variable:

Answers

Answer:

Approximately 6.4

Step-by-step explanation:

We can use the pythagorean thereom here, that tells us (a^2)+(b^2)=c^2. C is the hypotenuse, the side opposite from the right angle, while a and b are the other sides. We can insert 5 and 4 as a and b, and solve for c

:(5^2)+(4^2)=c^2

:25+16=c^2

:41=c^2

:sqrt(41)=6.4=c              (We square rooted both sides. 6.4 is only rounded to the nearest hundredths place.) Hope this helps!

Answer:

c = 6.4

Step-by-step explanation:

To find c, we need to use Pythagoras theorem which is:

[tex]a^2 + b^2 = c^2[/tex]

Plug known variables in:

[tex]5^2 + 4^2 = c^2\\25 + 16 = c^2\\\sqrt{25 + 16} = c\\\sqrt{41} = c \\c = 6.403\\c = 6.4[/tex]

Hope this helps!

PLEASE hELP
Find the domain of the function shown in the graph below?

Answers

Answer:

All real numbers with vertical asymptotes at -2 and 6

Step-by-step explanation:

The domain of the function is all the possible x values of the function, so the solution is all real numbers with vertical asymptotes at -2 and 6 because the values never cross here.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Help please I really don’t understand due in 4 days

Answers

Answer:

I will clear you.

Step-by-step explanation:

or,x/3-2<4

or,x/3<4+2

or,x<6/3

or,x<2

Answer:

x < 18

Step-by-step explanation:

You solve it like an equation.

First, isolate the x-value to one side by adding 2 to each side:

x/3 - 2 + 2 < 4 + 2

The twos on the left side cancel out:

x/3 < 6

Now multiply both sides by 3:

x/3 x 3 < 6 x 3

The threes on the left side cancel out, leaving you with the x-value:

x < 18

Hope this makes sense :)

A train travels 160 miles at a constant speed for 80 minutes. What is the speed of the train in mi/min

Answers

Answer:

2mi/min

Step-by-step explanation:

Speed=Distance/Time

=160mi/80min

=2mi/min

tim drives at an average of 80km

Answers

Answer:

80km --- 49.7097mi

Step-by-step explanation:

thats quite slow... but please provide context then i can solve it for you

How many permutations are there of the letters APPLE, if the arrangement must begin with a
vowel and end with a consonant?

Answers

Answer:

[tex]18[/tex].

Step-by-step explanation:

Start by considering the two "[tex]\verb!P![/tex]"'s as being different from one another. That way, all five letters in this word would be distinct. With this assumption, the number of arrangements would be [tex]\left(\genfrac{}{}{0}{}{2}{1}\right) = 2[/tex] times that of the actual value.

Start by fixing the first and the last letter since they come with special requirements.

There are [tex]2[/tex] choices for the first letter (the vowel: [tex]\verb!A![/tex] and [tex]\verb!E![/tex].)

Under the assumption that the two "[tex]\verb!P![/tex]"'s are distinct, there would be [tex]3[/tex] choices for the last letter ([tex]\verb!L![/tex] and the two

After choosing the first and the last letters, there would be [tex](5 - 1 - 1) = 3[/tex] choices for the second letter, [tex](3 - 1) = 2[/tex] choices for the third, and [tex](2 - 1) = 1[/tex] for the fourth.

Thus, under the assumption that the two "[tex]\verb!P![/tex]"'s are distinct, there would be [tex](2 \times 3) \times (3 \times 2 \times 1) = 36[/tex] ways to choose the new word. Since this assumption doubles the number of arrangements, dividing the [tex]36[/tex] by [tex]\left(\genfrac{}{}{0}{}{2}{1}\right) = 2[/tex] would give the actual number of arrangements:

[tex]\begin{aligned}\frac{36}{\genfrac{(}{)}{0}{}{2}{1}} = \frac{36}{2} = 18\end{aligned}[/tex].

[tex]\begin{aligned}& 1 && \verb!APPEL!\\& 2 && \verb!APLEP!\\& 3 && \verb!APEPL!\\& 4 && \verb!APELP!\\& 5 && \verb!ALPEP!\\& 6 && \verb!ALEPP!\\& 7 && \verb!AEPPL!\\& 8 && \verb!AEPLP!\\& 9 && \verb!AELPP!\\& 10 && \verb!EAPPL!\\& 11 && \verb!EAPLP!\\& 12 && \verb!EALPP!\\& 13 && \verb!EPAPL!\\& 14 && \verb!EPALP!\\& 15 && \verb!EPPAL!\\& 16 && \verb!EPLAP!\\& 17 && \verb!ELAPP!\\& 18 && \verb!ELPAP!\end{aligned}[/tex].

Please help!! Picture is provided

Quad. ABCD is a trapezoid.
XY is the median
XY = 12; AB=16
Find DC

Answers

Answer:

DC = 8

Step-by-step explanation:

The median is half the sum of the parallel bases, that is

[tex]\frac{AB+DC}{2}[/tex] = XY , substitute values

[tex]\frac{16+DC}{2}[/tex] = 12 ( multiply both sides by 2 to clear the fraction )

16 + DC = 24 ( subtract 16 from both sides )

DC = 8

Answer:

DC = 8

Step-by-step explanation:

The median XY of the trapezoid ABCD is half or the sum of AB and DC.

                    XY                                         = 1/2      ( AB + DC)

We need to find out DC so we can rewrite this equation isolating DC

XY = (1/2)(AB+DC), multiply both sides by 2

2XY = AB + DC, subtract from both sides AB

2XY - AB = DC, now substitute the given AB = 16 and XY = 12

2* 12 - 16 = DC , using the order of operations rules we multiply first

24 -16 = DC, subtract

8 = DC

plz help!!!!!!!!!!!!!!!

Answers

Answer:

equation of line of best fit:  y = -.018x + 7.3

y-intercept = 7.3

correlation coefficient = -.018

correlation coefficient indicates there is no correlation between the x-and-y values

Step-by-step explanation:

If two figures are similar, what can you say about them? Be specific and give at least 3 details.

Answers

Answer:

im confused as to if these terms are supposed to be specific or if you are looking for certain ones

Step-by-step explanation:

but i would say congruent, corresponding angles, and equal

Please help mehhhhhh T^T

Answers

Answer:

Step-by-step explanation:

We can see the graph has an y intercept of 1 and from there the slope goes up one and to the right one so the slope is 1

Write an equation in slope intercept form given the following slope and point M=-3 (6,-9)​

Answers

Answer:

y = -3x + -9/6

-9/6 simplified as -3/2

100 points plus brainiest to right answer.

Answers

Answer:e d

Step-by-step explanation:

Frank wants to be an astronaut when he grows up. Last weekend, the science center had an interactive space station exhibit. Frank bought a 3-day pass so he could go every day. Since he bought a multiday pass, he saved $10. Frank paid $56 in all. How much does a day at the science center normally cost?

Answers

I think it would be $66 because it said that he saved 10 and he payed $56 so if u add 10 dollars to 56 u get 66 sorry if it’s wrong

A pie was cut into 8 equal pieces. If Malena ate 18 of the pie, and Lupe ate 58 of the pie, how many whole pieces of the pie are left?

Answers

Answer:

2/8ths are left

Step-by-step explanation:

8 equal.pieces means 8/8

she ate 1/8 and he ate 5/8

thats 6/8

8/8 - 6/8 = 2/8

Answer:

1

Step-by-step explanation:

i dunno maybe not sure

The cost of a pen is 3 times the cost of a pencil. The total cost of 8 pencils and 5 pens is $11.50.
Please help me to find the costs of a pen and a pencil.

Answers

Answer:

$5.78

Step-by-step explanation:

brainliest?

A line includes the points (7, –7) and (11, –3). What is its equation in slope-intercept form?

Answers

The slope intercept form is y = mx + b so the slope is m and the slope in this case is -2.5. Now we substitute that in the equation. Well use the first set of ordered pairs for x and y. So now we have: -7 = -2.5(7) + b. When you solve for this you should get: -7 = -17.5 + b. Now you solve for the last part and you get: -7 = -17.5 + 10.5. So the Answer is: y = -2.5x + 10.5

Measure these angles.

a)

b)

Answers

are the angles john cena? cuz i cant see anything

Dija writes 7x 9 = 63 to find the
number of players on 7 baseball teams. Describe what
each of the factors represents in the multiplication equation.

Answers

Answer:

7 represents the number of teams. 9 represents the amount of players on each team. And 63 represents the total number of players.

Step-by-step explanation:

Diya used modeling to find
2
.
82
÷
3
.

She regrouped 2 as 20 tenths and regrouped 0.8 as 7 tenths plus 10 hundredths. She divided all of the tenths and hundredths into three equal groups. Each group had 9 tenths and 4 hundredths. She decided that
2
.
82
÷
3
=
0
.
94
.

Which of the following is the correct conclusion about Diya's quotient of 0.94?

help mee

Answers

Answer:C

Step-by-step explanation: The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04

The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04.

Given that, Diya regrouped 2 as 20 tenths and regrouped 0.8 as 7 tenths plus 10 hundredths.

What are decimal numbers?

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.

According the given question, the numerical expression is

20/10 + 7/10+12/100

= 2+0.7+0.1

= 2.8

She divided all of the tenths and hundredths into three equal groups.

That is, 2.82/3

=0.94

Hence, the quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04.

To learn more about the decimal numbers visit:

https://brainly.com/question/1578006.

#SPJ2

19. Is there any bias in the survey question? Explain.
What do you think would help students pay more attention in class?



Answers

Answer:

yes

Step-by-step explanation:

because everyone has a different method that works for them.

but then again it uses the pronoun you which means its asking for your opinion its not phrased

what would help študents pay more attention in class

so yes and no

Emily says that the negative sign means opposite of, so -(-45) means the opposite of negative 45, which is 45. Is Emily correct?

Answers

Answer: Yes, No Submit ·

Step-by-step explanation:

In the circle below, suppose m STQ = 102° and mZTSR=56º. Find the following.

Answers

Answer:

q

Step-by-step explanation:

if y varies directly as x, and y is 20 when x is 4, what is the value of y when x is 80

Answers

Answer:The equation of that is y=kx

Substitute it in and you get

20=6k

Divide 6 on both sides

k=3 1/3

Then since it asks what is the value of y when x is 24 use k in the equation

y=3 1/3*24

so y=80 is the answer

Step-by-step explanation:

of a line in point slope form

Answers

☆Answer : (X1, Y1) = (7, 1)(X2, Y2) = (4, -2)

m = (Y2 - Y1)/(X2 - X1)

m = (-2 - 1)/(4 - 7)

m = -3/-3

m = 1

Write an equation of the line in slope intercept form (-2,4) (0,0)

Answers

Answer:

y = -2x

Step-by-step explanation:

Slope = (change in y-values)/(change in x-values)

Slope = (0 - 4)/(0 - (-2)

Slope = -4/2

Slope = -2

Use the slope = -2 and point (0, 0) and substitute into y= mx + b to solve for b

y = mx + b

0 = -2(0) +b

0 = b

The equation of the line y = -2x + 0    or  y = - 2x

The length, breadth and height of a cuboid are in the ratio 6:3:5. If the total surface area is 504cm2, calculate area of 4 walls


please answer quick (i will mark as brainliest)

thank u

Answers

Step-by-step explanation:

metallic when has is equipment death of amiloride open interval a b payment to see payment payment details

Cookies cost $5.40 per dozen. What is the unit rate Price per cookie

Answers

Answer:

$0.45 per cookie

Step-by-step explanation:

1 dozen = 12, so you divide both sides by 12. 5.40/12 would equal $0.45 per cookie

Answer:$0.45

Step-by-step explanation:

If it costs $5.40 for 12 cookies then you will need to find how much it costs for 1 cookie. To do this you will need to divide 5.4 by 12 so 5.4/12=0.45

A similar image that is 10 times bigger write the rule

Answers

Answer:

× times 10

Step-by-step explanation:

that image times 10

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