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

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].

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:

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

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:

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.

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

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

Answer:e d

Step-by-step explanation:

Answer:

80km --- 49.7097mi

Step-by-step explanation:

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

Answer: Yes, No Submit ·

Step-by-step explanation:

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

Step-by-step explanation:

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

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!

Answer:

y = -3x + -9/6

-9/6 simplified as -3/2

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

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

Answer:

$5.78

Step-by-step explanation:

brainliest?

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 :)

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

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

Answer:

× times 10

Step-by-step explanation:

that image times 10

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

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

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

m = -3/-3

m = 1

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:

Answer:

q

Step-by-step explanation:

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]

Answer:

2mi/min

Step-by-step explanation:

Speed=Distance/Time

=160mi/80min

=2mi/min

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