The height of a parallelogram is three times its base. If the area is 972 square inches, what is the base and height?

Answers

Answer 1

Answer:

Base = 18 inches

Height = 54 inches

Step-by-step explanation:

The height of a parallelogram is three times its base. If the area is 972 square inches, what is the base and height?

The area of a parallelogram is given as:

Base × Height

Height = h = 3b

Area = 972 square inches

We substitute

972 = b × 3b

972 = 3b²

Divide both sides by 3.

b² = 972/3

b² = 324

b = √324

b = 18 inches

Solving for h

h = 3b

h = 3 × 18

h = 54 inches

Therefore,

Base = 18 inches

Height = 54 inches


Related Questions

A swimmer swims 30 laps in 5 minutes. How many laps would they swim in 23 minutes?

Answers

Answer:

138 laps in 23 minutes

Step-by-step explanation:

30/5

x/23

5x=690

690/5=138

4(3x-5)-2(5x-7) please help me i’m not it’s if it’s 2x-6 or 2x-3

Answers

Answer:

2x-6

Step-by-step explanation:

4(3x-5)-2(5x-7)

(12x-20)-(10x-14)

12x-20-10x+14

12x-10x-20+14

2x-6

Answer:

=> first multiply the numbers in bracket

4(3x-5)-2(5x-7) when we multiply for 4 and -2

12x-20-10x+14

=> then collect the like terms

12x-10x-20+14

=> 2x-6

Find the exact length of each line segment.

AB=

GH=

Answers

Answer:

ab- 4.1

gh-31.36

Step-by-step explanation:

Scuba diving, Elisa descends at a rate of 7 1/2 feet per minute. How long 2
will it take her to reach a depth of 90 feet?

Answers

Answer:

12 minutes

Step-by-step explanation:

90/7.5 = 12 minutes

NEED ANSWERED ASAP PLEASE
sin(0)= -4 sqrt 29 / 29

Answers

Answer:

Is - 4

Step-by-step explanation:

29/29  cancel it out

so it will leave -4 out

Help I need this rn like rnnnnnn!!!!

Answers

Answer:

g

Step-by-step explanation:

youre welcome

1. 50/







Lemme know if its right.

Write an equation in standard form for a line that is perpendicular to the line with an equation of y=3x-5 that passes through the point (8,5)

Answers

Answer:

[tex]gradient \: of \: y = 3x - 5 \: is \: 3 \\ m = 3 \\ for \: perpendicular \: m {}^{.} \times m = - 1 \\ 3m {}^{.} = - 1 \\ m {}^{.} = - \frac{1}{3} \\ from \: \: y = mx + c \\ at \: (8,5) \: \: 5 = - \frac{1}{3} \times 8 + c \\ c = - \frac{15}{8} \\ hence \: \: y = - \frac{1}{3} x - \frac{15}{8} [/tex]

The answer to a statistical question includes variability in data. Choose ALL examples of statistical questions es A) How much do the animals on the farm weigh? B) How old are all the teachers at the school? How old is the oldest teacher at the school? D How much does the black and white puppy weigh? E) How many students ate lunch in the cafeteria today?​

Answers

Answer:

A and C

Step-by-step explanation:NLE Choppa said so

Answer:

a and c

Step-by-step explanation:

Santiago is trying to earn experience points in his newest game. He knows that finding
gophers will get him the most points. His number of experience points after his first attempt
can be represented by the linear equation - 24x + 2y = 900, where y represents Santiago's
total number of experience points and x represents the number of gophers he finds.
What is the slope of the line? What does this represent?
F The slope is 12; he earns 1 point for every 12 gophers he finds.
G The slope is 450; he earns 1 point for every 450 gophers he finds..
# The slope is 12; he earns 12 points for each gopher he finds.
J The slope is 450; he earns 450 points for each Igopher he finds.

Answers

Correct Answer is on the attached image

Jayden has a 32-ounce sports drink. He drinks 12 ounces. Write the percentage of ounces Jayden has left of his sports drink.

Answers

Answer:

62.5 %

Step-by-step explanation:

32 - 12 = 20 ounces left

20/32 = 0.625

0.625 x 100 = 62.5 %

Answer:

62.5%

Step-by-step explanation:

 

How to Write a Conclusion for a Biography

Answers

Answer: The conclusion of biography should remind the reader of the subject's achievements or actions. Briefly describe their greatest achievements so that the reader can remember why it is important or enlightening to learn about their life.

Step-by-step explanation:

Brainless please

phoenix is a businessman who travels frequently he uses atms in many cities and does not write many checks he also uses direct deposit and has a savings account. Phoenix's bank is one of the four financial institutions described below which is most likely Phoenix's bank​

Answers

Answer:

Bank 3

Step-by-step explanation:

No additional charges for automatic deposit and includes saving account.

A factory-made 100,000 jars of peanut butter. 50,000 of the jars contained creamy peanut butter. What percentage of the jars of peanut butter was creamy?

Write your answer using a percent sign (%).

Answers

Answer:

50%

hope this answer helps you!

A card is randomly selected from a standard deck of 52 cards.what is the probability that it is a 10 or a face card?

Answers

Answer:

In a deck of cards, there are 6 faced cards. So, the probability of drawing a faced card is 6 out of 52 cards. Thus, the probability of drawing a face card from a deck of cards is 6/52 = 3/26.

Step-by-step explanation:

Answer:

4/13

Step-by-step explanation:

There are 4 10 cards.

There are 12 face cards.

Probability of both:

4/52 + 12/52 = 16/52 = 4/13

8c^2+7c how do i solve this

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

The equation, y=25x, represents the cost, y, in dollars, of x cubic yards of mulch at the garden shop

Answers

Answer:

The cost is $75

Step-by-step explanation:

Given

[tex]y = 25x[/tex]

Required

Cost of 3 cubic yards -- Missing from the question

The required means that: [tex]x = 3[/tex]

Plug in [tex]x = 3\\[/tex] to [tex]y = 25x[/tex]

[tex]y = 25 * 3[/tex]

[tex]y = 75[/tex]

The cost is $75

which of the following could be factored by grouping?
a. wy+wz+xy-xz
b. wy+yz-wx+yz
c. wy+wz+xy+xz
d. wx+wz-wy+wv

Answers

Answer:

wy+wz+xy+xz

Step-by-step explanation:

C.) wy+wz+xy+xz  could be factored by grouping.

What is factorization by grouping?

Method of factorization by grouping the terms:

(i) From the groups of the given expression a factor can be taken out from each group.

(ii) Factorize each group.

(iii) Now take out the factor common to group formed.

= wy + wz + xy + xz

= w(y+z) + x(y+z)

= (w+x)(y+z)

Learn more about factorization by grouping here

https://brainly.com/question/15518817

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When calculating for volume, you use the area of the 2D shape.

True or false.

Answers

Answer:

I think true.

Step-by-step explanation:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

false false false false false

What is the first step in solving the inequality m-2/6 < -1?
O Multiply both sides by 6.
O Add 2 to both sides.
O Change the direction of the inequality.
O Change the inequality to s.
HELP IM ON A TIMED TEST​

Answers

Step-by-step explanation:

change the directions i think

you have to make the -1 -> 0

you have to multiply by -1

and if you multiply the direction will change

PLEASE HELP NEED IT ASAP
Write the equation, in slope-intercept form, for the line shown in the graph below​

Answers

Answer:

y=5x+3

Step-by-step explanation:

Slope is going 5 units up and 1 unit right.

Slope= 5/1 but just the 5 is preferred.

y-intercept=3

Oliver is performing an experiment by spinning a metal weight around on the end of a nylon thread. How far does the metal weight travel if it

completes 10 revolutions on the end of a 0.88 m thread?

Give your answer correct to one decimal place.

Answers

Answer:

27.7m

Step-by-step explanation:

Step 1

We find the Circumference of the nylon thread.

The formula = 2πr

The diameter of the thread = 0.88m

Radius = Diameter/2

= 0.88m/2

= 0.44m

Circumference = 2 × π × 0.44m

= 2.7646015352m

Approximately = 2.765m

Step 2

We calculate the distance

Number of revolutions = 10

Therefore, the Distance or how far the metal weight can travel =

Circumference of the wheel × Number of revolutions

= 2.765m × 10

= 27.65m

Approximately to 1 decimal place = 27.7m

help me pls, question is on the picture

Answers

Answer:

I just learned this about a few weeks ago I hope this helps.

Step-by-step explanation:

Since it's cosine you're only looking at Adjacent and the hypotenuse which the adj is 20 and the hyp is 25 so since cosine is adj/hyp you do 20/25 then simplify it to 20/25 divide both by 5 so it's simplified to 4/5.

Then you do Cos-1(4/5)=36.869 which is rounded to the tenth 36.9 but rounded to the hundredth 36.87.

Hope this helps

the straight line L passes through the points (0 , 12) and (10 , 4).

Find an equation of the straight line which is parallel to L and passes through the point (5 , -11).

Answers

Answer:

y = - [tex]\frac{4}{5}[/tex] x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 12) and (x₂, y₂ ) = (10, 4)

m = [tex]\frac{4-12}{10-0}[/tex] = [tex]\frac{-8}{10}[/tex] = - [tex]\frac{4}{5}[/tex] ← slope of line L

Parallel lines have equal slopes , then

y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, - 11) into the partial equation

- 11 = - 4 + c ⇒ c = - 11 + 4 = - 7

y = - [tex]\frac{4}{5}[/tex] x - 7 ← equation of parallel line

The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;

⇒ y = - 4/5x - 7

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The straight line L passes through the points (0 , 12) and (10 , 4).

And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).

Now,

Since, The straight line L passes through the points (0 , 12) and (10 , 4).

So, Equation of line L is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 12 = (4 - 12) / (10 - 0)  (x - 0)

⇒ y - 12 = - 8 / 10x

⇒ 10 (y - 12) = - 8x

⇒ 10y - 120 = - 8x

⇒ 10y = - 8x + 120

⇒ y = - 8/10x + 12

⇒ y = - 4/5x + 12

And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = -4/5x + 12

m = dy/dx = - 4/5

m = - 4/5

Thus, The equation of line with slope 1- 4/5 is,

⇒ y - (-11) = - 4/5 (x - 5)

⇒ y + 11 = - 4/5 (x - 5)

⇒ 5 (y + 11) = - 4x + 20

⇒ 5y + 55 = - 4x + 20

⇒ 5y = - 4x + 20 - 55

⇒ 5y = - 4x - 35

⇒ y = - 4/5x - 7

Thus, The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;

⇒ y = - 4/5x - 7

Learn more about the equation of line visit:

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The table represents some points on the graph of a linear function.
Х
-1
5
7
11
у
6
3
2.
o
What is the rate of change of y with respect to x for this function?
2
O
2
-2

Answers

Answer:

should i provide formula

A or B
Choose 1 answer:

Answers

Answer:

B

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

4 parts broken into 4 parts

Answer:

b

Step-by-step explanation:

since you are dividing by four, the graph must show 1/4 in for divisions.

Zoom In to see I need help

Answers

Answer:

The answer it probably is C.

Step-by-step explanation:

Just add 16+16+16= 48. Hope this helps

Answer:

The answer is C... 16 units.

Step-by-step explanation:

I had this question on my test and got it correct.

For which of the figure(s) below would we calculate VOLUME?


A: Figure A only

B:figure B only

C:figures A and B

D:figures B and C

Answers

the answer is Figures B and C

I Mark Brainliest ! No Bots Plz
Select All that apply

Answers

Answer:

i think its the second and third

Step-by-step explanation:

im not completely sure though so please dont get mad if its wrong

Brianna planted daffodils and tulips in her garden she planted 4 daffodils for every 3 tulips if Brianna planted 28 flowers in all how many tulips did she plant

Answers

12 tulips
16 daffodils

Answer:

12 Tulips

Step-by-step explanation:

Daffodils - 4, 4, 4, 4 = 16

Tulips -       3,3,3,3 = 12

28 flowers in all


Maria plans to double the amount of time she spends walking per day each week.she starts , on week 1 , walking 5 minutes per day. after 7 days , she then walks 10 minutes per day

(a) how many minutes per day will maria be walking on week # 6 , show the calculation that gives your answer

(b) scale the y axis appropriately and graph the first six terms of this sequence .list them all if you haven't already


(c) according to this geometric progression how many minutes per day would maria be walking on week # 10 why is this not a viable answer​

Answers

Answer:

a) 160 minutes per day

b) Find the graph attached

c) on 10th week Maria would be walking  2560 minutes per day

Step-by-step explanation:

Week 1 - 5 minutes per day

Week 2 - 10 minutes per day

Week 3 - 20 minutes per day

Week 4 - 40 minutes per day

Week 5 - 80 minutes per day

Week 6 - 160 minutes per day

a) 160 minutes per day

b) Find the graph attached

c) on 10th week Maria would be walking  2560 minutes per day

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