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

Please help it’s urgent !!

Answers

Answer:

2 is the correct answer you know it also

Y’all know what this is ?

Answers

Answer:

65

Step-by-step explanation:

8(5) + 25 = 65

We plugged in 5 for c since we know its value.

Answer:

65

Step-by-step explanation:

8x5=40 25+40=65

I hope this helps, and have a nice day!

Graph

y−2=23(x+4)


I don’t no how to graph so plz help me

Answers

Answer: This file i added shows the graph. If it doesnt help, then you can use M.a.th w.a.y to find the graph

Step-by-step explanation:

What is 3% of 84?


Show work!

Answers

Step 1: Our output value is 84
Step 2: we represent the unknown value with X
Step 3: From step 1 above, 84 = 100%
Step 4: Similarly, X = 3%
Step 5: This results in a pair of simple equations:
84 = 100%(1)
X = 3%(2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS ( right hand side) of both equations have the same unit (%); we have
84/x = 100% / 3%
Step 7: Again, the reciprocal of both sides gives
X/84 = 3/100
X = 2.52
Therefore, 3% of 84 is 2.52

Select all the correct answers,
Which relations represent functions?

Answers

A and C are the correct answer

Answer:

A and C are the correct answer

Step-by-step explanation:

If a car travels 400m in 20seconds how fast is it going?

Answers

the car travels 400m in 20sec, the it is moving with a speed of 400m/20sec i.e, 20m/sec.

What is the value of x in the equation 24−2x=16?
a 4
b 8
c 12
d 20

Answers

Answer:

x = 4

Step-by-step explanation:

2 x 4 = 8

24 - 8 = 16

Answer:

x=4

Step-by-step explanation:

Solve for X
If you have 2x+3

Answers

Answer:

in the explanation

Step-by-step explanation:

According to the triangle midsegment theorem (if these points are midpoints),

2x + 3 is two times longer than 7, meaning it's 14.

2x+3=14

2x=11

x = 11/2

If there is an option for not enough info given, that should be right as it doesn't actually say that they are midpoints

ASAP
{(-6, 4), (5,-1), (0, 3), (-2,4)}
a. Domain=
b. Range =
c. Function=

Answers

Answer:

domain=-6,5,0,-2

range=4,-1,3,4

Step-by-step explanation:

u gotta ask function to someone else sry

-1 + 3x< 14 solve the equality

Answers

Answer:

x = 5

Step-by-step explanation:

add positive one to both -1 and 14

divide each side by 3

Need help asap please

Answers

Answer:

Option 3

Step-by-step explanation:

The number on the inside is the dividend and the number on the outside is the divisor. So we just have to place the dividend on the top and the divisor on the bottom.

Can somebody answer this?

Answers

Answer:

c. m

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.

Answer:

the slope of the line is m

Step-by-step explanation:

why m?

because as you see in the equation

y=mx+b this means y-b/x = m

as you know slope is ∆y/∆x =m

it is the same as the first one .

Find the solution set to 3(2x - 4) > 2(x + 4)

Answers

Answer:

X>5

Step-by-step explanation:

So first distribut the numbers

6x-12>2x+8

now subtrct 2x on both sides

4x-12>8

Now add 12 on both sides

4x>20

x>5

Answer: > 5

Step-by-step explanation: I just know

the ratio of PHP 504.00to 14liters of gasoline​

Answers

Answer:

36:1

Step-by-step explanation:

Divide 504 by 14 to get the ratio

Multiple Choice: What method can be used to prove the triangles below are congruent? * Angle Side Angle (ASA) Angle Angle Side (AAS) Option 1 Option 2 Not Congruent Hypotenuse Leg (HL)​

Answers

Answer:

angle side angle

Step-by-step explanation:

BASIC LEVEL
1. On a sheet of paper, enlarge the following figures
with centre of enlargement E and scale factors each
indicated in brackets.
Plz help

Answers

Answer:

hjskkdoododkdkdndndndndndndndnsn sorry I needed points to ask a question

Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?

Answers

Answer:

$400

Step-by-step explanation:

140 ÷ 35% = 400

the graph shows the number of us passports issued in 2012, 2014, and 2016. find the rate of change between 2012 and 2014. pay attention to the scale of the y-axis

Answers


What is the value of x in this diagram?


Please help

BRAINLIEST goes to the right answer.

For the function in the graph, find the values of f(-2), f(2), and f(4).

A. 2;2;1
B. -2; -2; -1
C.-2;2;1
D. -2;2;-1

Answers

I think it’s C hopefully it’s the correct answer

The polynomial p(x) = 5x^3 – 9x^2 - 6x + 8 has a known factor of (x + 1).
Rewrite p(x) as a product of linear factors.

Answers

Answer:

[tex](x+1)(5x-4)(x-2)[/tex]

Step-by-step explanation:

We know that (x+1) is a factor, so we can use synthetic division to factor it out of [tex]5x^3-9x^2-6x+8[/tex].

Once factored, we get [tex](x+1)(5x^2-14x+8)[/tex]

Now all we need to do is factor[tex](5x^2-14x+8)[/tex]

[tex](5x^2-14x+8)=(5x-4)(x-2)[/tex]

This gives us the answer [tex](x+1)(5x-4)(x-2)[/tex].

p(x) as a product of its linear factors is:

[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]

The given polynomial is:

[tex]p(x) = 5x^3-9x^2-6x+8[/tex]

The divisor = x + 1

The division expression can be written as:

[tex]\frac{5x^3 - 9x^2 -6x + 8 }{x+1} \\\\= 5x^2-14x+8[/tex]

Factorize [tex]5x^2-14x+8[/tex]

[tex]5x^2-14x+8\\\\5x^2-10x-4x+8\\\\5x(x-2)-4(x-2)\\\\(5x-4)(x-2)[/tex]

Therefore, p(x) as a product of its linear factors is written as:

[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]

Learn more here: https://brainly.com/question/18818577

Donald bought a box of golf balls for $9.31. There were 18 golf balls in the box.

About how much did each golf ball cost? Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.

Answers

Step-by-step explanation:

Cost of each golf ball = $9.31 / 18

≈ $9 / 18 = $0.5.

Answer: 0.5172222222222222

Step-by-step explanation: divide 18 by 9.31

Hello someone please help me

Answers

Answer:

C = {-5,2,5} answer

Step-by-step explanation:

ccccccc

The length of a rectangle is 2 cm more than
3 times its width. Its area is 85 cm?. Find the
dimensions of the rectangle.

Answers

Answer:

Width of rectangle = 5 cm

Length of rectangle =  17 cm

Step-by-step explanation:

Let the dimensions of rectangle:

Width of rectangle = x

Length of rectangle = 3x+2

Area of rectangle = 85 cm

We need to find dimensions of rectangle i.e length and width.

The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]

Putting values and finding dimensions

[tex]Area\:of\:rectangle=Length\times Width\\85=3x+2 \times x\\85=3x^2+2x\\The\;equation\:will\:be:\\3x^2+2x-85=0[/tex]

Now, finding value of x using quadratic formula:

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

We have, a =3, b =2 and c=-85

[tex]x=\frac{-2\pm \sqrt{(2)^2-4(3)(-85)}}{2(3)}\\x=\frac{-2\pm \sqrt{4+1020}}{6}\\x=\frac{-2\pm \sqrt{1024}}{6}\\x=\frac{-2\pm 32}{6}\\x=\frac{-2+ 32}{6}\:or\:x=\frac{-2- 32}{6}\\x=5\:or\:x=-5.6[/tex]

So, we get x = 5 and x = -5.6

But since the width of rectangle cannot be negative so, we would consider x = 5

Now, the dimensions of rectangle will be:

Width of rectangle = x = 5 cm

Length of rectangle = 3x+2 = 3(5) + 2 = 15+2 = 17 cm

An aeroplane takes off and flies steadily for a distance of 5.6 km at an altitude of 2 km from it's runway . Calculate the angle that it makes with the horizontal

Answers

Answer:

The angle the aero plane makes with the horizontal is approximately 20.925°

Step-by-step explanation:

The given parameters are;

The distance the aero plane flies = 5.6 km

The elevation to which the aero plane flies = 2 km

The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)

By the trigonometric ratio for the sin of the angle, θ, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]

Therefore, the angle θ the aero plane makes with the horizontal is given as follows;

[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]

The angle the aero plane makes with the horizontal ≈ 20.925°.

A train travelled 300 kilometres in 5 hours. Find it's rate of speed

Answers

Answer:

The train traveled 60 kilometers per hour.

Step-by-step explanation:

300/5=60

Answer:

60 km/hours

Step-by-step explanation:

in the picture above.

Francie lives 1_5 mile from the school. Jake lives 2_10 mile from the school. Do they live the same distance from the school? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

So, we see that both Francie and Jake lives miles from the school. Hence, they both live the same distance from the school.

Is the ratio 4.2:1.5 proportional to the ratio 12:5? Explain.

Answers

Answer:

No.

Step-by-step explanation:

We can set this proportion up as:

[tex]\frac{4.2}{1.5}=\frac{12}{5}[/tex]

For this to be true, cross-products need to be equal:

[tex]4.2(5)=12(1.5)[/tex],

However, we can see that this is not the case:

[tex]4.2\cdot 5 \neq 12 \cdot 1.5[/tex]

Therefore, these ratios are not proportional.

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

Plz help me find these functions!

Answers

Answer:

[tex]\sin \alpha = \frac{5}{13}[/tex], [tex]\cos \alpha = \frac{12}{13}[/tex], [tex]\tan \alpha = \frac{5}{12}[/tex], [tex]\cot \alpha = \frac{12}{5}[/tex], [tex]\sec \alpha = \frac{13}{12}[/tex], [tex]\csc \alpha = \frac{13}{5}[/tex]

Step-by-step explanation:

The angle [tex]\alpha[/tex] is the angle opposite to the side of length 5 and adjacent to the side of length 12. From Trigonometry we remember the following relationships:

[tex]\sin \alpha = \frac{5}{\sqrt{5^{2}+12^{2}}}[/tex]

[tex]\sin \alpha = \frac{5}{13}[/tex]

[tex]\cos \alpha = \frac{12}{\sqrt{5^{2}+12^{2}}}[/tex]

[tex]\cos \alpha = \frac{12}{13}[/tex]

[tex]\tan \alpha = \frac{5}{12}[/tex]

[tex]\cot \alpha = \frac{12}{5}[/tex]

[tex]\sec \alpha = \frac{\sqrt{5^{2}+12^{2}}}{12}[/tex]

[tex]\sec \alpha = \frac{13}{12}[/tex]

[tex]\csc \alpha = \frac{\sqrt{5^{2}+12^{2}}}{5}[/tex]

[tex]\csc \alpha = \frac{13}{5}[/tex]

A computer store buys a computer system at a cost of $487.20. The selling price was first at $812, but
then the store advertised a 30% markdown on the system. Answer parts a and b.
a. Find the current sale price.
The sale price is $0
Round to the nearest cent as needed.)
NEEED HELP ASAP

Answers

Answer: a. The sales price $568.40

b.the price for the club members is $511.56

Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u

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