The height of a parallelogram is 5 feet more than its base. If the area of the parallelogram is 204 feet, find its base and height

Answers

Answer 1

Step-by-step explanation:

Let

base=x

height=x+5

we know that in a parrelogram

[tex]\boxed{\sf Area=base×height}[/tex]

Substitute the values

[tex]{:}\rightarrowtail\sf x(x+5)=204 [/tex]

[tex]{:}\rightarrowtail\sf x^2+5=204 [/tex]

[tex]{:}\rightarrowtail\sf x^2=204-5 [/tex]

[tex]{:}\rightarrowtail\sf x^2=199 [/tex]

[tex]{:}\rightarrowtail\sf x=\sqrt {199}[/tex]

[tex]{:}\rightarrowtail\sf x=14.1[/tex]

[tex]{:}\rightarrowtail\sf base=14.

1feet[/tex]

[tex]{:}\rightarrowtail\sf Height =14.1+5=19.1feet [/tex]


Related Questions

Order the set of integers from greatest to least. {6, 17, -20, 15, -19, 26}

Answers

26, 17, 15, 6, -19, -20

Rose plz. give me chance to explain

Answers

Answer:

who is Rose

Step-by-step explanation:

what is the value of the expression of -9 x 2.2

Answers

Answer:

-19.8

Step-by-step explanation:

hope this helps!

A card is drawn from an ordinary deck of cards. What is the probability that the card is a king given that the card is red?

A. P(K|R) = 0.8
B. P(K|R) = 0.2
C. P(K|R) = 0.92
D. P(K|R) = 0.08

Answers

Answer:

d. 0.08

Step-by-step explanation:

52 cards in a deck of cards. 26 are red. there are 2 red kings. 2/26= 0.076 which rounds up to 0.08

Half the cards (26) are red

Then there are 2 red kings out of the 26.

Probability of picking a red king out of the red cards is 2/26 = 1/13 = 0.076

Round to 0.08

The answer is D.

Use the diagram below in which P is the incenter of JKL, PN =21 and ML=27 . Find PO, LO, and PL

Answers

Answer:

1. PO = 21

2. LO = 27

3. PL = 34.2

Step-by-step explanation:

1. Since P is the incenter, that means it is equidistant to each side at a right angle. As a result PN, PO, and PM are equal to each other.

We know that PN is 21. Since PN and PO are equal to one another, PO = 21.

2. ML is equal to LO. ML is 27, so LO is also 27.

3. To get PL you will have to do the Pythagorean Theorem. Square the legs and set it equal to the hypotenuse squared.

* It should be: 27^2 + 21^2 = x^2.

Once you solve and round to the nearest tenth, you will get 34.2.

-3.6h = -10.8
what's h​

Answers

Answer: 3

Step-by-step explanation:

Enter the common ratio for this geometric sequence:

8,4,2,....

Give your answer in its simplest form.

Answers

Answer:

/2 each time

Step-by-step explanation:

8,4,2

8/2=4

4/2=2

etc

Zeke oversees a website for nutritional information on fast food. During its first year, the number of times the website was visited had
net change of +55. During each subsequent month, starting in the next year, the number of visits increased by 320. He wants to find
out how many visits his website will get afterx months assuming this rate continues
Zeke thinks that the website will have 7,500 visits in less than 2 years
Which statements about this situation are true? Select ALL that apply.
A
The expression 320x + 55 can be used to represent this situation,
The expression that can be used to represent the situation will have a positive rate of change of 55 and a constant of
320

Answers

Answer: 320x + 55

Step-by-step explanation:

The statements about this situation that are true include:

The expression 320x + 55 can be used to represent this situation.The expression that can be used to represent the situation will have a positive rate of change of 55 and a constant of 320.

Since the number of times the website was visited had a net change of +55 and during each subsequent month, starting in the next year, the number of visits increased by 320. The expression to solve this will be:

= 320(x) + 55

= 320x + 55

where, x = number of months.

Read related link on:

https://brainly.com/question/19737487

Marcy purchases a total of 12 adult, child, and senior tickets for an art museum tour. Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. If she purchases 4 more child tickets than senior tickets and spends a total of $38, which statement is true?
The solution to this system is no viable because it results in fractional values of tickets.
The solution to this system is viable.
The solution to this system is nonviable because it results in negative values of tickets.
The solution to this system is no viable because it results in fractional values of money.

Answers

Answer:

A: The solution to this system is no viable because it results in fractional values of tickets

Step-by-step explanation:

Let number of adult, child, and senior tickets be x, y and z respectively.

Thus;

x + y + z = 12 - - - (eq 1)

she purchases 4 more child tickets than senior tickets.

Thus, y = z + 4

Thus:

x + (z + 4) + z = 12

x + 2z + 4 = 12

x + 2z = 8 - - - (eq 2)

Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,

Thus;

5x + 2(z + 4) + 4z = 38

5x + 2z + 8 + 4z = 38

5x + 6z + 8 = 38

5x + 6z = 38 - 8

5x + 6z = 30

Divide through by 5 to get;

x + (6/5)z = 6 - - - (eq 3)

Subtract eq 2 from eq 1 to get;

2z - (6/5)z = 8 - 6

2z - (6/5)z = 2

Multiply through by 5 to get;

10z - 6z = 10

4z = 10

z = 2½

It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.

Helppppppppp!!

A bird goes from a lower location to a higher location at a
rate of 2 meters per second. Which equation models the change in the bird's position at 90 seconds?

A. 90.2 = 180
B. 90(-2) = -180
C. (-90)(-2) = -180
D. 90(-2) = 180

Answers

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It is proven mathematically

standard form of 80000​

Answers

Answer:

8 × 10^4

Step-by-step explanation:

Count the number of zeros after 8.

Answer:

80,000= 8*10^4

Step-by-step explanation:

I hope this helps!!!!!

Mr. Trujillo wants to paint a wall which contains a french door in his breakfast area as shown in the diagram below.







How many square feet of wall does Mr. Trujillo need to paint?

Answers

Answer:

it is 140

Step-by-step explanation:

Giving 40 points PLEASE help ASAP The ratio of the number of teachers to students in a school is 3:35. The ratio of male students to the number of female
students is 2:5. There are 500 female students. How many teachers are there?
In the box, type the answer and tell how you found it. You may also do your work on a separate sheet of paper and upload it
in the box below.

Answers

Answer: 500 female students. 2:5 ratio for males means 200 male students. 500 female plus 200 male equals 700 students total. There are three teachers for every 35 students, so 700/35 multiplied by three equals 60 teachers.

I need help with a math question, ASAP!! Please, I will give Brainliest. Below is a screenshot of the math problem

Answers

y = 6x
4x + y = 7

(substitute y = 6x in the ‘y’ spot in 4x + y = 7)
4x + 6x = 7
10x = 7
/10 on both sides
x = 7/10

(substitute x = 7/10 in the ‘x’ spot in either of the two equations)
y = 6x
y = 6(7/10)
y = 4.2 = 21/5

Answer:
x = 7/10
y = 21/5

Answer:

Soda tax — Should people have to pay an extra tax on soda or junk food?

Your conversation should include the following:

A total of at least five entries for each side (10 entries total—two to three sentences each)

Accurate facts used to support both perspectives

At least two properly cited sources used for research

Step-by-step explanation:

There are 4 nickels and 4 dimes in your pocket.You randomly pick a coin out of your pocket and placed it on a counter. Then you randomly pick another coin. The first coin is a nickel and the second coin is a dime. What is the probability

Answers

Answer:

The probability of picking a nickel or a dime is 25%

Step-by-step explanation:

Since we have the same amount of nickels and dimes we can cancel them out. That would make it a 50% chance to get one or the other, or, a 1&1 chance, but since there is 8 coins all together there is a chance to pull out 2 nickels or 2 dimes. 4 possibilities.

1. 1 nickel 1 dime

2. 2 dimes

3. 2 nickels

4. 1 dime 1 nickel

4 x 25% = 100%

each possibility has a 25% chance to happen

DOES ANYONE KNOW WEDNESDAYS QUESTION PLS HELP I HAVE 5 minutes

Answers

Answer:

-1/2

Step-by-step explanation:

Hope this helps!! Please consider marking brainliest! Have a good one!!

- 1/2 I think heiejkssnusnskzhsy

The angle measures of a triangle are shown in the diagram



what is the value of x?
pls hurry its due soon

Answers

Answer: Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Step-by-step explanation: To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

double checking

i think a and h but not sure

Answers

Answer:

C and G

Step-by-step explanation:

You have two lines intersected by a transversal. The transversal is labeled t. The other two lines are "the two lines".

Corresponding angles must be both on the same side of the transversal and they must be either both above the two lines or both below the two lines.

All 4 pairs of corresponding angles in this figure are listed below:

a, e

c, g

b, f

d, h

The only one of those pairs in the choices is c, g

Answer: C and G

A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

Each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties except the ______.

A. Square
B. Rectangle
C. Trapezoid
D. Parallelogram

Answers

Trapezoid is the correct answer :) good luck

Trapezoid is the quadrilateral with only one pair of opposite parallel sides.

What is Quadrilateral?

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

Given that, each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties.

Trapezoid is a quadrilateral having base angles equal and one pair of opposite sides are parallel.

Hence, the correct option is Trapezoid.

For more references on Quadrilateral, click;

https://brainly.com/question/13805601

#SPJ2

Find the area of the trapezoid. Please help!

Answers

Answer:

Area = 1/2 (a + b )h

area = 1/2 ( 22.2 + 8.52 ) 9.86

area = 1/2 ( 30.72) 9.86

area = 1 x 30.72 x 9.86 ÷ 2

area = 151. 4496cm²

Answer:

The area of the trapezoid is 151.45cm sq

Which of the following graphs represents a relation that is not a function?

Answers

Answer:

Even though you only uploader one pic I think that is the answer

Because that is a Zero slope  wich means it has no function that would be the anser

Step-by-step explanation:

hey please help me with the answer​

Answers

The answer would be 6 because when you plug it in it becomes 3+7-4 which is 6

Can you please show your work and explain if possible.​

Answers

Answer:

CHEATING ON CLASSWORK

Step-by-step explanation:

IS FORBIDDEN

HELP ASAP WILL MARK BRAINLIEST

Answers


I think it’s c I don’t know for sure but I think it’s c

What is the value of the expression: (-3) (- 1) (-2)= __________



A. – 8 B. – 17 C. 17 D. 8

Answers

Answer:

Use BODMAS and multiply the signs - ve × -ve equals +ve multiplied by another - ve is a - ve sign then multiply the figures and then multiply the final figure to the final - ve sign.

Thank you. Hope I was of help.

Please help if possible due really soon❤️❤️❤️ thank you so much

Answers

Answer:

i do believe they are right, i got b too.

Step-by-step explanation:

A large multiplex movie house has many theaters. The largest theater has 50 rows. There are 12 seats in the first row. Each row has two seats more than the previous row. How many total seats are there in this theater?

Answers

Answer:

a(50) = a(1)+ (50-1)d = 20 + 34*2 = 20+78 = 98

Ans: S(50) = (n/2)(a(1)+a(50)) = (50/2)(20+98) = 50*59 = 1365

Step-by-step explanation:

Help appreciated, thanks so much!

Answers

Answer:

r= -6

Step-by-step explanation:

Please help me solve these problems, or as many as you can. I need them in step by step..

5. 36d¹⁰/6d⁵

6. [(4³)²]²

7. 5³•7⁵•10/5•7⁴

8. (2²)⁷

9. (8v⁹)⁵

Answers

Answer:

5. 36d¹⁰/6d⁵ = 6d⁵

6. [(4³)²]² = 4⁷

7. 5³•7⁵•10/5•7⁴ = 5²•7• 10

8. (2²)⁷ = 2⁹

9. (8v⁹)⁵ = 8⁵V¹⁴

Step-by-step explanation:

When solving questions having indices, we follow certain rules in Mathematics

a) a^b/a^c = a^b-c

b) (a^b)^c = a^b+ c

Hence:

5. 36d¹⁰/6d⁵ =

(36/6)^d^10-5 = 6d⁵

6. [(4³)²]²

= (4)^3 + 2+ 2 = 4⁷

7. 5³•7⁵•10/5•7⁴

= (5)^3-1 • (7) ^5-4• × 10

= 5²•7•10

8. (2²)⁷

= (2)^2 + 7

= 2⁹

9. (8v⁹)⁵

= 8⁵•v^9+5

= 8⁵v¹⁴

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