➥ The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and height of the parallelogram.

Answers

Answer 1

Answer:

The height of parallelogram is 51.87 cm

Step-by-step explanation:

Let The height of a parallelogram = a cm

Then

The base of a parallelogram = 3a cm

So by the given condition

3a×a = 897

3a^2 = 897

a^2 = 897/3

a^2 = 299

a = 17.29

So the height of parallelogram = 3×17.29= 51.87 cm


Related Questions

Refer to the diagram shown.

Answers

Answer:

x=5

Step-by-step explanation:

According to SSS, RPS and RPQ should be similar angles. Since the length RP is the same, then RQP and RSP should be similar too. Therefore PRS and PRQ should be similar too. Since QP and RS are the same (7) then QR and PS needs to be same in length too.

2x+3 = 4x-7

10 = 2x

x=5

Answer:

X=5

Step-by-step explanation:

2x+3= 4x-7

-4x      -4x

-2x +3 = - 7

-3            -3

-2x      =    -10

divide -10 by -2x

which would give you your answer X=5

When is the slope intercept form only y= mx and not y = mx+b?

Answers

Answer:

No Y-Intercept

Step-by-step explanation:

The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.

does anyone know how to do this? If so can you please help me?!

Answers

4*4*4*4 so basically putting 4 in 5 groups

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.
What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?
A
[tex]1\frac{3}{4}[/tex] feet

B
[tex]2\frac{3}{4}[/tex] feet

C
[tex]5\frac{1}{4}[/tex] feet

D
8 feet

Answers

Answer:

A is the answer

Step-by-step explanation:

I think

On the first day, you pay $5 for 2 boxes of popcorn.
The next day you pay $7.50 for 3 boxes. Are the ratios
equivalant.

Answers

Answer:

10 5

Step-by-step explanation:

Answer:  Yes

Step-by-step explanation:

First find the unit rate by find the cost per box.

To find the cost per post you will divide the cost by the number of boxes.

5/ 2 = 2.5

7.50/ 3  = 2.5  

2.5  is indeed equal to 2.5 so they are equivalent.

Cherie accepted a job through an employment agency. The job pays $1,100 a week. The agency charges 30% of her first 4 weeks pay. Find the amount she owes the agency

Answers

If this job pays 1100 a week, in four weeks Cherie would make 4400. If she’s giving a 30% cut to the agency for four weeks, she’d be giving 330 of every weeks paycheck. At the end of those four weeks, she’d end up giving $1,320 to the agency.

Cherie owes the employment agency amount of $1,320.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

To determine the amount Cherie owes the agency, we need to calculate 30% of her first 4 weeks of pay.

Since she earns $1,100 a week, the total pay for 4 weeks is $1,100 × 4 = $4,400.

Now that we have the total pay for 4 weeks, we can calculate 30% of that amount by multiplying $4,400 by 0.30.

So, 30% of her first 4 weeks' pay is $4,400 × 0.30 = $1,320.

Therefore, she owes the employment agency $1,320.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ6

A triangle has a base of two to the third power units and a height of chicken fourth power units what is the area of the triangle

Answers

i think you had an auto correct problem

What is the area of this figure?
10 cm
7 cm
6 cm
17 cm
10 cm
4cm

Answers

Answer:

285,600

Step-by-step explanation:

I calculated it I am pretty sure I am correct

Answer:

110

Step-by-step explanation:

I split the shape into smaller pieces and got 10 for the width and 7 height I multiplied them and got an area of 70 for the first shape. For the second I got the width of 4 and length of 10 multiply them and you'll get 40. Last add them and you get 110 cm.

Which number sentence is represented by the number line?

Answers

Answer:

8

Step-by-step explanation:

it is 8

If (1/4)^2-y, =1 find the value of y

Answers

First you need to do square 1/4, which equals 1/16

1/16 - y = 1

Then you subtract 1/16 on both sides

-y = 1 - 1/16

Then subtract 1/16 from 1

-y = 15/16

Then divide by -1 to make y positive

answer —-> y = -15/16

Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must have to earn at least $3500 in a month?

Answers

Answer:

The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

Explanation: The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

Solution:

The expression to Michael earnings is:

Where,

b is the base salary, which is $ 900 in this sum

c is the commission rate

Given that commission rate is 5%

Michael must have to earn at least $2500 in a month

Here, at least means, "greater than or equal to" 2500

The inequality is framed as:

base salary + 5 % on sales  2500

Solve the inequality

 Therefore minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

Can yall pls help with this

Answers

Answer:

x=7

Step-by-step explanation:

A building is 360 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?

Answers

Answer:

the answer is 9 inches

360/10=36

36*.25 =9

How many solutions does the system have?
x = -6y + 3
5x + 30y = 15
one solution
two solutions
infinitely many solutions
no solution​

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

we have: x+6y= 3

5x+30y=15

where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)

Thus, the system has infinitely many solutions.

another approach:

convert to slope-intercept form

y= -1/6x + 1/2

y= -1/6x + 1/2

thus, the system has infinitely many solutions.

(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)

what is 4 × 10^2 in scientific notation?​

Answers

Answer:

104 = 10 × 10 × 10 × 10 = 10,000

Step-by-step explanation:

In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"

in scientific notation 4 × 10^2

Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.

You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).

The card is a diamond or a heart.


The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:


Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.


2. You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).

The card is a diamond or a heart.


The probability expressed as a fraction is:
The probability expressed as a decimal is:
.
The probability expressed as a percent is:

Answers

Answer:

There we go!!!

A bag contains 49 coins consisting of quarters and dimes. There are 2.5 times as many quarters as there are dimes in the bag. Write a system of equations that models this situation. How many dimes are in the bag?
pls write step by step so that I can understand :)

Answers

Answer:

Dimes = 35

Quarters = 14

Step-by-step explanation:

Let

quarters = q

Dimes = d

Total coins = 49

There are 2.5 times as many quarters as there are dimes in the bag

Dimes = 2.5q

Quarters + Dimes = Total

q + 2.5q = 49

3.5q = 49

q = 49/3.5

q = 14

d = 2.5q

= 2.5 * 14

= 35

d = 35

Therefore,

Dimes = 35

Quarters = 14

Answer:

The system of equations that models this equation area:

d + q = 49

q = 2.5d

I need help -5 + g = -2 step by step so I can learn

Answers

Answer:

Step-by-step explanation:

if you need to find g,

add 5 on both sides

g=-2+5

g=3

The first step was to add five on both sides because the opposite of subtracting is adding. You should have gotten g= 3 as your answer:).

WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP

Answers

Answer:

B

Step-by-step explanation:

The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept

Answer:

A.

Step-by-step explanation:

It starts from 32 on the y-axis and goes up 4 times on x-axis.

You're planning on making 7 meatloafs for a party. You go to the store to buy breadcrumbs, and see they are sold by the canister. How many canisters do you need to buy? First, determine what information you need to answer this question, then click here to display that info (along with other info). How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf. How many people can 1 meatloaf feed? It says it serves 8. How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall. What is the net weight of the contents of 1 canister? 15 ounces. How much does a canister cost? $2.19 How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help. Nutritional label showing the serving size is 1/3 cup (30g), and there are about 14 servings per container.

Answers

Let's first find out how much breadcrumbs we're going to need:
1 3/4 cups → 7/4 cups per meatloaf
7 cups/4 * 1 meatloaf * 7 meatloafs = 49/4 cups of breadcrumbs needed in total.

Now let's find out how many cups are in a canister:
1/3 * 14 = 14/3 cups (we're given 1/3 a cup is a single serving size, and each canister holds about 14 servings)

Here's the algebraic way of solving:
14/3 n ≥ 49/4, where n is the number of canisters needed. I'm using ≥ because we cannot buy only part of a canister. Multiply both sides by 3/14:
14/3 n * 3/14 ≥ 49/4 * 3/14
We can factor out a 7:
n ≥ 7/4 * 3/2
n ≥ 21/8 → 2 5/8
Rounding up, you're going to need three canisters:
28/3 (2 canisters) < 49/4 (needed) < 42/3 (3 canisters)
9 1/3 < 12 1/4 < 14

What is the value of the expression (0.4)​2​

Answers

If you meant multiple it’s 0.8 but if you meant to the power of 2 it’s 0.16

Hurry please! Thank you I really appreciate it :)

Answers

Answer:

5 meters

Step-by-step explanation:

Comparing Methods to solving systems.

x -y =-2
7x +2y =-5

Solve it by graphing method

Answers

Answer:

[tex]x = - 1 \\ y = 1[/tex]

Step-by-step explanation:

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

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

[tex]7x + 2y = - 5[/tex]

[tex]7(y - 2) + 2y = - 5 \\ [/tex]

[tex]7y - 14 + 2y = - 5[/tex]

[tex]9y = 14 - 5[/tex]

[tex]9y = 9[/tex]

[tex]y = \frac{9}{9} = 1[/tex]

[tex]x = y - 2 = 1 - 2 = - 1[/tex]

HELP I NEED HELP ASAP

Taxi Driver A(x)=1.50x+5 and Taxi Driver B charges B(x)=1.25x+8 where x is the number of miles driven. After how many miles will the cost be the same for each taxi driver?

Answers

Answer:

12 miles

Step-by-step explanation:

1.25x + 8 =1.5x+5

1.25x-1.5x=5-8

-0.25x=-3

-0.25x/-0.25x=-3/-0.25

x= 12

I need help with this ASAP.

Answers

Answer:

1. Domain: -2, 0, 4; Range: -7, -1, 0, 3

2. Domain: -4, -1, 2, 3 Range: -5, 1, 8

Step-by-step explanation:

Domain and range are the just the x and y value in function table or ordered pair.

44 laps in 7 days = ____ laps in 14 days

Answers

Answer:88

Step-by-step explanation:

Answer:

88?

Step-by-step explanation:

Translate the phrases to algebraic expressions.

The sum of 8 times a number and 3

Answers

Answer:

8x+3

Step-by-step explanation:

Answer:

8x + 3

Step-by-step explanation:

i just what some special person who gets this to have a good day stay safe god bless

Answers

Answer:

Same back to you

Step-by-step explanation:

I hope you smile today and don't let corona stop you from anything

Answer: thank you

Step-by-step explanation:

can u pls help me with this question ​

Answers

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A is the variable.

The cost of a concert ticket last week was $75. This week the concert ticket is $84. What is the percent increase of the ticket from last week to this week

Answers

Answer:

The percent increase is 12%

Step-by-step explanation:

Hope this helps

Answer:

12%

Step-by-step explanation:

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