The base of a parallelogram is 6 ft more than the height. If the area of the parallelogram is 55 ft^2​, what are the measures of the base and the​ height?

Answers

Answer 1

Answer:

Height = 5 ft

Base = 11 ft

Step-by-step explanation:

The area of a parallelogram is

Base × Height

From the question:

The base of a parallelogram is 6 ft more than the height.

Base = 6ft + h

If the area of the parallelogram is 55 ft^2​,

what are the measures of the base and the​ height?

This is calculated as:

55 ft² =( 6 + h ) × h

55 = 6h + h²

h² + 6h - 55 = 0

h² +5h - 11h - 55 = 0

h(h + 5) - 11(h + 5) = 0

(h + 5)(h - 11) = 0

h - 11 = 0

height = 5ft

Base = 6 + h = 6 + 5

Base = 11ft


Related Questions

Pls help, I know the answer but what I wrote in the box isn't correct
How do I show the answer?

Answers

Answer:

AC=11.38 cm

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

[tex]c^2=a^2+b^2-2ab\cos x[/tex]

The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:

[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]

[tex]AC^2=289+169-442*0.7431[/tex]

[tex]AC^2=129.53[/tex]

[tex]AC=\sqrt{129.53}[/tex]

AC=11.38 cm

check the picture below & help please!!

how many hours?

Answers

Answer:

I think it should be 11/3

Evaluate the expression when a= 1/4 and b = 6.
16a2 – 4b=

Answers

Step-by-step explanation:

HERE,

a=[tex]\bold{\dfrac{1}{4} }[/tex]

b=6

so,

According to the question,

[tex]\bold{16a^2-4b }[/tex]

[tex]\bold{16\times(\dfrac{1}{4})^2-4\times 6 }[/tex]

[tex]\bold{ 16\times \dfrac{1}{16}-24 }[/tex]

[tex]\bold{\cancel{16}\times \dfrac{1}{\cancel{16}}-24 }[/tex]

[tex]\bold{1-24 }[/tex]

[tex]\bold{ -23 }[/tex]

Solve the following expression 8 + (-20)

Answers

Answer:

-12

Step-by-step explanation:

integer rule = when a + and - comes it is indicated as - so ..

8-20 = -12

we put a minus sighnbecause 20 is the bigger number  

Answer:

-12

Step-by-step explanation:

Note the rules of the signs:

If there are two positive signs next to each other, the resulting sign will be positive. Example + (+  ).

If there is one negative sign and one positive sign directly next to each other, the resulting sign will be negative Example - (+  ) or + (-  ).

If there are two negative signs directly next to each other, the resulting sign will be positive. Example - (-  ).

In this case, there is one negative, and one positive sign. Subtract 8 with 20:

8 + (-20) = 8 - 20 = -12

-12 is your answer.

~

(3 + 81)(3 - 81) =
DONE
h

Answers

Answer:

-6552

Step-by-step explanation:

First do 3+81 = 84 then 3-81 = -78. Then multiply them together to get -6552

Answer:

(3 + 81)(3-81)=9-6561

Stepby-step explanation:

IQ
GPA
ia
SAT
115
3.4
115
1440
84
2.1
84
780
In this assignment, you will be comparing two data
sets. The first data set shows the relationship of GPA
and IQ scores. The second data set compares SAT
scores and IQ scores.
In the scatterplots for both sets of data, the
independent variable is
111
3.1
111
1120
120
3.8
120
1560
105
2.8
105
1240
98
2.6
98
1200
96
96
1000
88
88
920
It

Answers

Answer:

The answer is IQ

Step-by-step explanation:

Edge 2021

Anne is playing golf. On the first tee, she hits a slow shot down the Y = x -0.0 4X squared, we are why is the balls hide in the air and eggs is a horizontal distance in his drawer from the tea. The distance or measured in feet how far from the tea does the ball hit the ground

Answers

Answer:

25 ft

Step-by-step explanation:

The path of the golf ball is given by the equation.

[tex]y=x-0.04x^2[/tex]

The point on the ground where the ball will land on the ground is the point where [tex]y=0[/tex].

[tex]x[/tex] is horizontal distance

So

[tex]0=x-0.04x^2\\\Rightarrow x(1-0.04x)=0\\\Rightarrow 1-0.04x=0\\\Rightarrow x=\dfrac{1}{0.04}\\\Rightarrow x=25[/tex]

So, the ball will land 25 ft away from the tee.

here is a math question

Answers

Answer:

D.

Step-by-step explanation:

Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)

It’s d 100% onevehdijssjwv

Decrease £280 by 15%

Answers

Answer:

238

Step-by-step explanation:

280 times 0.85 = 238

Solve by the substitution method. 8x + 9y=56 -9x + y = 26​

Answers

Answer:

(-2,8)

Step-by-step explanation:

8x + 9y=56

-9x + y = 26​

---------------------------------------------------------------------------------

-9x + y = 26​

    +9x = +9x

y = 9x + 26

---------------------------------------------------------------------------------

8x + 9(9x+26) = 56    <-- substitute for y from above

8x + 81x + 234 = 56

      89x + 234 = 56

               - 234 = - 234

                  89x = - 178

                      x = -2        <--- we got the x value!!

--------------------------------------------------------------------------------

-9x + y = 26​

-9 (-2) + y = 26    <-- substitute for x from above

18 + y = 26

   - 18 = - 18

      y = 8    <-- we got the y value!!

10z + 3 =9z solve for z

Answers

z=-3

Step-by-step explanation:

Answer:

z = -3

Step-by-step explanation:

10z + 3 = 9z

10z + 9z - 3

10z - 9z = -3

z = -3

write an equation of the line and interpret the slope ​

Answers

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

Hey there!

The answer to your question is [tex]y = -100x + 500[/tex]

To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:

[tex]\frac{200-600}{5-1}[/tex]

[tex]\frac{-400}{4}[/tex]

[tex]-100[/tex]

Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:

[tex]600 = -100(1) + b[/tex]

[tex]600 = -100 + b[/tex]

[tex]500 = b[/tex]

Now, we have our equation:[tex]y = -100x + 500[/tex]

Hope it helps and have an amazing day!

Help needed. Will mark brainliest. Please help:c

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost of owning and operating a printer :

Purchase Cost = $100

Printing per per page = $0.05

Thus, owning and operating cost :

Purchase cost + (Printing per page * number of pages)

Number of pages = p

100 + 0.05p

Service cost :

Amount per page = 0.25

Total revenue = cost per page * number of pages

Total revenue from service =. 0.25p

The equation :

100 + 0.05p = 0.25p ; is the owning and operating cost = total revenue

It gives the equation to calculate the number of pages at which total revenue equals owning and operating cost.

100 + 0.05p = 0.25p

100 =0.25p - 0.05p

100 = 0.20p

p = 100/0.2

p = 500

When number of pages equals 500; the owning and operating cost is equal to the revenue made.

Convert the following repeating decimal to a fraction in simplest form.
.6

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

0.6 is a repeating decimal in this case, so you can round it to .7

From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.

help me again pleaseee

Answers

Answer:

a). x = 10.20 in

b). x = 2.24

Step-by-step explanation:

a). By applying Pythagoras theorem in the given right angle,

    (Hypotenuse)² = (Leg 1)² + (Leg 2)²

    (15)² = x² + (11)²

     225 = x² + 121

     x² = 225 - 121

     x² = 104

     x = √104

     x = 10.198 ≈ 10.20 in

b). By applying Pythagoras theorem,

    (3x)² = (2x)² + (5)²

     9x² = 4x² + 25

     9x² - 4x² = 25

     5x² = 25

      x² = 5

    x = √5 = 2.24

Bill is looking for a job as a gym teacher. he plans to send resumes to 130 schools in his state. Kinko's charges $30 per 100 copies and sells them only in sets of 100.

a. How many copies will bill have to purchase if he is to have enough resumes?

b. how much will the copies cost bill, including the 6% sales tax?​

Answers

A. He will have to buy 200 copies
B. He will have to pay $60 for the copies plus the %6 tax which would be a total of $63.60

The tables correspond to two lines in the coordinate plane.What is the X- coordinate of the solution of the two lines? hint:what point is the same?

Answers

Answer:

2

Step-by-step explanation:

when x=2, both lines have a y of -4

yoko is saving money to buy a bike that costs 125$.She has 60 and will add an additional 5 each week.In how many weeks will she have enough to buy the bikw

Answers

Answer:

13 Weeks

Step-by-step explanation:

Yoko currently has $60 so if she gains $5 each week simply 5x13=65

$60+$65=$125

Mary Beth could jump 42 times each minute. How many times could she jump in two hours explain to me step by step

Answers

if mary beth jumps 42 times per minute you need to figure out how many minutes in 2 hours (120 minutes). 42x120=5,040

Answer:

5,040 jumps

Step-by-step explanation:

Let's figure out the number of jumps per hour

42 steps/minute * 60 minutes/hour = 2,520 jumps/hour

Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.

2,520 jumps/hour * 2 hours = 5,040 jumps

What is the product of d – 9 and 2d2 + 11d – 4?

2d3 – 7d2 – 103d + 36
2d3 – 7d2 – 95d + 36
2d3 + 7d2 – 95d + 36
2d3 + 7d2 – 103d + 36

Answers

Answer:

A.

2d3 – 7d2 – 103d + 36

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

what is the third side ? due in 2 days

Answers

Answer:

the third side could be 8 or 2

Step-by-step explanation:

Answer:

6 < x < 14;   answer = 8

Step-by-step explanation:

triangle inequality theorem: sum of any two sides must be greater than the third side

4 + 10 > x         x < 14

10 + x > 4         x > 6

PLEASE HELP ME ILL GIVE BRAINLIEST ITS DUE SOON OMG

Answers

Answer: He was given 50 for his birthday

Answer:

It's b

Step-by-step explanation:

This was the first answer I gave. So I am going with it.

A compound is made up of various elements totaling 90 ounces. If the total amount of uranium in the compound weighs 18 ounces, what percent of the compound is made up of uranium? If necessary, round your answer to the nearest hundredth.

Answers

Answer:

20%

Step-by-step explanation:

The percent of the compound that is made of uranium is calculated as:

(Number of ounces of uranium /Number of ounces of the compound)

× 100

Total amount of uranium in the compound weighs = 18 ounces

A compound is made up of various elements totaling = 90 ounces.

Hence:

= 18/90 × 100

= 1800/90

= 20%

Therefore, the percent of the compound that is made up of uranium is 20%

Plz help u will get branliest!

Answers

For #2, the answers could be 4/6 or 6/9

For #3, the answers could be 2/4 or 3/6

For #4, the answers could be 8/10 or 16/20

For #5, they both equal each other

For #6, they both do not equal each other

For #7, they both do not equal each other

For #8, they both equal each other

For #9, they both equal each other

For #10, they both do not equal each other

For #11, they both equal each other

For #12, they both do not equal each other

I think #13 can be 1/3 and 2/6 since 4/12 is vanilla

I don’t know #14

Analyze the diagram below and complete the instructions that follow.
X
459
3
45°
Find the value of x.
A V3
B. 3V2
2
2

Answers

Answer:

B.

y-Step-bstep explanation:

ok so

the triangle has 3 angle

45-45-90

one 45 points to x

that means the other side is also x

the 90 degrees points to 3

3=x√2

x=2.12132

The value of x in the given diagram is 3√2, Option C is correct.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle has 45-45-90 degrees.

We have to find the value of x in the given triangle.

The cosine function is ratio of the adjacent side by hypotenuse.

cos 45= 3/x

The value of cos 45 degrees is one divided by root 2.

1/√2 =3/x

Now apply the cross multiplication

x=3√2

Hence, the value of x in the given diagram is 3√2, Option C is correct.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ7

If mZLKO = 72°, then what is mZJKH?
B
C
E
A
►F
H Η
M

Answers

Answer:

d-"5"_""__"_'uvyctxycuvycycycyv

Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5​

Answers

Answer:

use the slope equation (y2-y1) / (x2 -x1). plug in values and solve

(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)

-8 / 12 (simplify)

m = -2/3

then, plug in one of the points and the slope into the slope-point equation.

(y - y1) = m (x - x1) (the point-slope form)

y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)

y - 7 = -2/3x - 2 (add 7 to both sides)

y = 2/3x +5 (the answer)

Step-by-step explanation:

I hope this helps :))

Jamie puts an initial $900 into a savings account. The account has a 7% annual compound interest rate. What is the function that best represents Jamie's account and how much does he have in savings after 5 years? Round your answer to the nearest dollar.

Hint: Use the formula, f(x) = P(1 + r)x

A. f(x) = 900(1.7)x, $1,081

B. f(x) = 900(1.07)x, $1,262

C. f(x) = 900(1.07)x, $1,081

D. f(x) = 900(0.07)x, $1,262

Answers

Answer:

D. f(x)=900(0.07)^x.1,262

Step-by-step explanation:

You would have to use the P(1+r)^x

P= starting amount

R= rate of change or the percentage changed into a decimal

x= time

So it would be, 900(1+0.07)^5

calculating that you would get 1,262.3. but approximately it's 1,262.

Hope this helped

Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!!

Answers

Answer:

1. AD

2. 5.2 cm

3. x = 4

4. BC

5. 3

6. x = 12

Step-by-step explanation:

What is the slope of the line plz help

Answers

The answer is 3/1
Have a good day

Answer:

The slope is 3!

Step-by-step explanation:

In the equation y=3x+2, whatever constant is with the variable "x" is the slope.

Hope this helps :)

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