a parallelogram has an area of 108 square inches. The base of the parallelogram is 18 inches. Explain how you could find the height of the parallelogram, then find the height. Show your work.

Answers

Answer 1
Because the formula for finding the area of a parallelogram is base times height, you can divide the base of the parallelogram into the area to find the height.

A=bh

108=18h
divide both sides by 18 to find h

6=h

The height is 6 inches.
Answer 2

Answer:

Height=6in

Step-by-step explanation:

Took test and got it correct


Related Questions

What is the simplified form of the expression? x8 - 2y10 - 5x5

Answers

we have
x8* 2y10 * 5x5
product of two powers that have the same base is equal to a power of said base that has as exponent the sum of the exponents

x8* 2y10 * 5x5----------> (1)*(2)*(5)*[x^(8+5)]*y^10=10*[x^13]*y^10

the answer is 10*[x^13]*y^10

Isabella jump rope is 2.03 meters long. Avery jump rope is 0.15 meters shorter than Idabellas jump rope. Measures in meters, what is the length of Averys jump rope?

Answers

Hello!

Isabella's jump rope is 2.03 metres long, and Avery's is 0.15 metres shorter than Isabellas. To calculate how long Avery's jump rope is, we must subtract:

2.03 - 0.15 = 1.88

ANSWER:

The length of Avery's jump rope is 1.88 metres.

beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years. How much will she pay altogether?

Answers

Final answer:

To find the total payment Beth will make on her car loan, calculate the total cost using the loan formula. Beth will pay a total of $19,890 in total.

Explanation:

Beth owes $17,000 on her car loan with a 4.25% interest rate, to be paid off over 4 years. To calculate the total amount she will pay, you use the formula for calculating the total cost of a loan: Total Payment = Principal + (Principal x Interest Rate x Time).

Principal = $17,000Interest Rate = 4.25% = 0.0425Time = 4 years.

Plugging in the values:

Total Payment = $17,000 + ($17,000 x 0.0425 x 4)

Beth will pay a total of $17,000 + ($17,000 x 0.0425 x 4) = $17,000 + $2890 = $19,890 altogether.

3) Ashley uses the two points on the coordinate plane to represent the location of her house and the public library. Each unit on the graph represents 1 mi. How far is the public library from Ashley’s? Show your work.

Answers

By counting grid squares, we see the library is 5 miles north and 6 miles east of Ashley's house. Using the Pythagorean theorem, we can find the straight-line distance to be
.. d = √(5^2 +6^2)
.. = √(25 +36)
.. = √61 . . . . . miles
.. ≈ 7.81 . . . . miles

Help!! There are at least 3 slices of bread left in the bag how do I write an inequality for that?

Answers

at least = 3 or more
x = slices of bread
x ≥ 3
the "≥" means greater than or equal, which basically means at least

Answer:

I need help on this question too but instead of 3 its 7!!! i also need to write both a inequality and a graph! pls respond as fast as possible.

Step-by-step explanation:

thanks

(100+ POINTS)
A fresh cup of coffee is placed on a table to cool. The table below shows the relationship between the temperature of the coffee, y, as it relates to time in minutes, x.



Time (minutes), x 0 1 2 3
Temperature (F°), y 200 150 112.5 84.375



Which function can be used to represent the relationship shown in the table?
y = (0.75) x
y = 0.75(200) x
y = 200(-0.75) x
y = 200(0.75) x

Answers

For this case we have a function of the form:
 [tex]y = A * (b) ^ x [/tex]
 Where,
 A: initial temperature
 b: rate of change
 x: time in minutes
 y: temperature
 We must find the values of the constants A and b.
 To do this, substituting values we have:
 [tex]200 = A * (b) ^ 0 150 = A * (b) ^ 1[/tex]
 We have a system of two equations with two unknowns.
 Dividing both equations we have:
 [tex] \frac{A * (b) ^ 1}{A * (b) ^ 0} = \frac{150}{200} [/tex]
 [tex]b = 0.75 [/tex]
 From equation 1 we have that the value of A is:
 [tex]A = 200 [/tex]
 Substituting values in the generic equation we have:
 [tex]y = 200 * (0.75) ^ x [/tex]
 Answer:
 
A function that can be used to represent the relationship shown in the table is:
 
[tex]y = 200 * (0.75) ^ x[/tex]


y = 200 * (0.75) ^ x

The unit used to measure an angle is called

Answers

There are several.
Some of them are: degree, radian, grad

Does a two-digit number exist such that the digits sum to 9 and when the digits are reversed the resulting number is 9 greater than the original number? Identify the system of equations that models the given scenario. t + u = 9 10t + u = 10u + t – 9 t + u = 9 10t + u = 10u + t t + u = 9 tu = ut + 9

Answers

The answer would be "t + u = 9 and 10t + u = 10u + t - 9". This can be found if you replaced t with 4 and u with 5. Adding the 2 digits would give you 9, and using the formula "10t + u = 10u + t - 9". Replace t and u with 4 and 5 then simplify. 10*4 + 5 = 10*5 + 4 - 9. Simplifying you'd get 45 = 54 - 9 or 45 = 45 which make the statement true. Thus making "t + u = 9 and 10t + u = 10u + t - 9" the answer.

I hope this helps!

The equations described in this problem are:

t + u = 9

10t + u = 10u + t - 9

When the two equations are substituted and solved, t = 4 and u = 5.

The original number described in the word problem is 45.

  Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $156.00. What is her rate per hour?

Answers

The answer is  $9.75 hope i helped!!
x= rate per hour

Multiply each day's hours by the rate of pay. Add the days times the rate of pay which equals the total pay.

9x + 7x= $156
combine like terms
16x= 156
divide both sides by 16
x= $9.75

ANSWER: Her rate per hour is $9.75.

Hope this helps! :)

What would be the radius of A= 530.66 square meter

Answers

530.66÷3.14=169
√169=√r²
13=r

Scott viewed 72 classic cars at a car show.Of the cars he viewed,3/8 were sports cars. How many sports cars did Scott view

Answers

27 sports cars were viewed. 72/9 = 8. 8x3 = 24.
72/8=9
9x3=27
Therefore Scott viewed 27 sports cars.

In the regular nonagon shown, what is the measure of angle x?

Answers

The answer is 45 hope this helps

I cant see any nonagons sorry.

What is the slope of a line that is perpendicular to the line shown?
(3, 3) (-3, -1)

Answers

Answer:

-3/2

Step-by-step explanation:

The line shown has slope ...

... (y2 -y1)/(x2 -x1) = (-1 -3)/(-3 -3) = -4/-6 = 2/3

The slope of the perpendicular line is the opposite of the reciprocal of this:

... -1/(2/3) = -3/2

a medication is supplied in a mixture that contains 7.5 mg of medication per millimeter of solution. the dosage rate is 10.0 mg of active ingredient per kilogram of body weight. calculate the number of millimeters of medication that should be given to a patient weighing 187 lb.

Answers

Concentration = 7.5 mg/mL
Dosage = 10 mg/kg
For a patient of 187 lb = 187.*0.4536 lb*kg/lb = 84.82 kg
Dose = 10 mg/kg * 84.82 kg /7.5 mg/mL
= 113.1 mL

The local sports shop has backpacks on sale for $28. The original price was $40. What is the percent decrease for the backpack price?

Answers

30%. 40-28 =12. 12/40 =30%

The length of the longer leg of a right triangle is 19ft more than five times the length of the shorter leg. the length of the hypotenuse is 20ft more than five times the length of the shorter leg. find the side lengths of the triangle.

Answers

Let x represent the length of the shorter leg.

Longer leg: 5x +19
Hypotenuse: 5x +20

Pythagorean theorem:
.. x^2 +(5x +19)^2 = (5x +20)^2
.. x^2 +25x^2 +190x +19^2 = 25x^2 +200x +20^2 . . . . . . eliminate parentheses
.. x^2 -10x -39 = 0
.. (x -13)(x +3) = 0
.. x = 13 . . . . . . . . . . leg lengths must be positive

The side length of the triangle are 13, 84, 85 feet.
Final answer:

This problem can be solved by creating and solving a quadratic equation based on the Pythagorean theorem. We denote the length of the shorter leg as 'x', and substitute '5x+19' and '5x+20' as lengths of the longer leg and hypotenuse in the theorem.

Explanation:

The entire problem revolves around the application of the Pythagorean theorem, which in a right-angled triangle gives the relationship a² + b² = c², were a and b are the lengths of the shorter sides (legs) and c is the length of the longest side (hypotenuse).

Let's denote the length of the shorter leg as 'x'. From the problem, we know that the longer leg is 5x+19 and the hypotenuse is 5x+20. Using the Pythagorean theorem, we have:

((5x+19)² + x²) = (5x+20)².

You can solve this equation to find out the value of 'x', following which you can substitute this value back into 5x+19 and 5x+20 to find lengths of the longer leg and hypotenuse.

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the sum of the real numbers x and y is 15. their difference is 3. what is the value of xy?

Answers

x+y=15,
x-y=3
the easiest way is the find out x and y first: 
add up the two equations: 2x=18, x=9
plug x=9 in either equation, you get y=6
so xy=6*9=54
Another way to do it:

(x+y)²=15²=225  =>x²+2xy+y²=225
(x-y)²=3²=9         =>x²-2xy+y²=9
subtract one equation from the other: 4xy=225-9=216, xy=54

The value of xy is such that the sum of the real numbers x and y is 15 and their difference is 3 is 54.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given that sum of the x and y is 15

So,

x + y = 15

And difference

x - y = 3

By adding both equations,

2x = 18

x = 9 and y = 6

So their product 9 × 6 = 54.

Hence "The value of xy is such that the sum of the real numbers x and y is 15 and their difference is 3 is 54".

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Bonds from the city of Denver with a face value of $1,000 each are selling at 110.611. If Sean wishes to purchase three such bonds, how much can he expect to pay?

Answers

A bond quote (100.611) is the last price bond is traded at. A bond quote is the percentage of a face value. 
In this case, the bond quote is 110.611 which means that bond is traded at 110.611% of its face value.
If Sean wants to buy 3 bonds he needs to pay:
3*1000*110.611/100=$3318.33

Answer:

The answer is C-3,318.33

Step-by-step explanation:

just took the test homie

Anna is buying trim to go around her rug. Her rug measures 54 inches by 42 inches. How many inches of trim will Anna need to buy

Answers

Anna will need to buy 192 inches of trim.

54+54=108
42+42=84
108+84=192
P = 2*L + 2*W
L= 54 inches
W = 42 inches

P = 2*54 + 2*42
P = 108 + 84
P = 192 inches. she needs to buy

Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in 1 hour? (Please give me the equation you used.)

Please help fast!

Answers

To answer this you could write the first rate that is given (12 plants: 1.5 hours in fraction form and make it equivalent to a second rate of x: 1 hour. X represents the number of plants in an hour.

You can use cross products to solve for x. Please see the attached picture for the steps. The answer is 8 plants.

Final answer:

Samantha can pot 8 plants in 1 hour.

Explanation:

To find out how many plants Samantha can pot in 1 hour, we need to determine how many plants she can pot in 1 1/2 hours and then convert that to 1 hour.

If Samantha can pot 12 plants in 1 1/2 hours, we can set up a proportion to find out how many plants she can pot in 1 hour:

12 plants / 1.5 hours = x plants / 1 hour

To solve for x, we can cross multiply:

12 * 1 = 1.5 * x

12 = 1.5x

To isolate x, divide both sides of the equation by 1.5:

x = 12 / 1.5

Simplifying the equation, we get:

x = 8

Therefore, Samantha can pot 8 plants in 1 hour.

The price has changed from $120 to $75. by how many percent did it change?

Answers

Final answer:

The price has changed by 37.5% from $120 to $75.

Explanation:

To find the percentage change, we can use the formula:

Percentage change = ((new value - old value) / old value) * 100

In this case, the old value is $120 and the new value is $75. Plugging these values into the formula, we get:

Percentage change = (($75 - $120) / $120) * 100 = (-$45 / $120) * 100 = -0.375 * 100 = -37.5%

Therefore, the price has changed by 37.5%.

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Final answer:

The percentage change in price from $120 to $75 is calculated by subtracting the initial price from the final price, dividing the result by the initial price, and then multiplying by 100. The price has decreased by 37.5%.

Explanation:

The question involves calculating the percentage change in price. To do this, you start by subtracting the final price ($75) from the initial price ($120) to determine the difference. In this case, the difference is $120 - $75 = $45. This represents the total change in price.

To find out the percentage change represented by this difference, you divide the difference ($45) by the original price ($120) and then multiply the result by 100 to convert it to a percentage. This can be represented by the formula:
((Final Price - Initial Price) / Initial Price) x 100.

So, the percentage change would be calculated as follows: ((120 - 75) / 120) * 100 = 37.5%. Therefore, the price has decreased by 37.5%.

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4/15 divided by 8/25

Answers

It's about .83333. You divide 4/15 first and then 8/25. then you divide both after that
4         25            100                        5
-    x    -     =.       -          simplify≈    -
15       8              120                        6
multiply by the reciprocal to divide fractions

What is the sum of the series? ​ ∑ i=1 5 4i ​ Enter your answer in the box.

Answers

Answer:

the answer IS 60

Step-by-step explanation:

The sum of the given series  [tex]\sum 4i[/tex]  is 60.

What do you mean by the sum of the series?

A series can have a sum of each term of the series tends to zero but there are some series in which has each term tends to be zero and do not have a sum.

   5

  [tex]\sum 4i[/tex]  = 4 × 1 + 4 × 2 + 4 × 3 + 4× 4 + 4 × 5

  i=1        = 4 + 8 + 12 + 16 + 20

              = 60

Hence, the sum of the series  [tex]\sum 4i[/tex]  is 60.

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What could be the length of the third side of the triangle if it is known that the first two sides are 15 and 27?

Please tell me the answer if you absoulutley know it

Answers

It will be between the sum and difference of the two given sides.

12 < third side < 42

What is the length of BB' ?

Answers

B(0,2) B'(5,4)
D(BB') = √(5-0)^2 + (4-2)^2
= √(25 + 4)
= √29
= 5.39

answer
 length of BB' = √29 or 5.39
2/5 I think so !!! Demosos . Com helps a lot.

This picture shows a feeding trough that is shaped like a right prism 5,4,6. list each face of the feeding trough . What is the surface area of the trough?
Please help

Answers

Two sides are 4 by 5.
Two sides are 4 by 6.
Two sides are 5 by 6.
Since it's a feeding tough, I assume the top face is open and not there, so one of the six sides listed above is missing, but without a picture, I can't tell which one it is.

Answer:

Step-by-step explanation:

A company pays its commercial agents 5% of any deal. What should the value of a deal be for the agent to earn $2000?

Answers

The value of the deal should be $40,000.


remember that 5% as a decimal is .05.Let x = value of deal
The equation would be .05x = $2000 
Divide both sides by 0.05.
x=40,000       
 

Answer:

The value of the deal should be $40,000.

Step-by-step explanation:

remember that 5% as a decimal is .05.Let x = value of deal

The equation would be .05x = $2000

Divide both sides by 0.05.

x=40,000

What is the constant of proportionality in the equation 2y=6x

Answers

The constant of proportionality in the equation 2y = 6x is [tex]\( \frac{1}{3} \)[/tex].

In the equation (2y = 6x), the constant of proportionality represents the relationship between x and y. To isolate it, divide both sides of the equation by (6x):

[tex]\[\frac{2y}{6x} = \frac{6x}{6x}\][/tex]

This simplifies to:

[tex]\[\frac{1}{3} = \frac{y}{x}\][/tex]

So, the constant of proportionality is [tex]\(1/3\)[/tex], indicating that for every unit increase in x, y increases by [tex]\(1/3\)[/tex].

PLEASE HELP ASAP
Which polynomial is a quintic binomial? 3x^5+2 x^2+4x 5x^2−2x+1 x^4+2x^3−x^2+7x+11

Answers

You have that:

 1. By definition, a binomial is a polynomial formed by two terms. 
 2. A quintic binomial is a binomial of degree 5. This means that its highest exponent is 5.
 3. Keeping this on mind, you must identify which binomial has degree 5.
 4. As you can see, the expression 3x^5+2 is a binomial, because it has two terms and the highest degree is 5.
 5. Thefore, the answer is: 3x^5+2

Which ordered pair makes both inequalities true?

y < –x + 1

y > x

Answers

For this case, what you must do is to graph both lines in the same Cartesian plane.
 Once graphed, you must see by mathematical inspection the points that meet both inequalities.
 For this case, all points in the shaded region comply with the inequation system.
 Answer:
 All the ordered pairs of the shaded region.

Answer:

B on Edge 2020

Step-by-step explanation:

(-2,2)

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