1- The area of a parallelogram is 507 cm2. Its height is six times its base. Find the height and base.

Answers

Answer 1

Answer:

507=b x (3 x b)

507=b x 3b

507=3b^2

b^2=507/3

b^2=169

b=13

h=3 x b

h=3 x 13

h=39

Step-by-step explanation:

Answer 2

The height and base of the parallelogram is b = 13 cm and h = 78 cm

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the area of the parallelogram be represented as A

Now , the value of A = b x h

where the base of the parallelogram is b

The height of the parallelogram is h

So , 507 = b x h

And , height is three times its base

So , h = ( b x 3 )

On simplifying , we get

507 = b ( b x 3 )

507 = 3b²

Divide by 3 on both sides , we get

b² = 169

Taking square roots on both sides , we get

b = 13 cm

So , the height of the parallelogram is h = 78 cm

Hence , the parallelogram is solved

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ3


Related Questions

help me please, lolllllllllllllllllll

Answers

Answer:

1728ft³

Step-by-step explanation:

Split the shape into the two rectangular prism that make it up

Volume of a rectangular prism=length*width*height

Small prism=10*12*3=360ft³

Big prism=19*12*6=1368ft³

Total=360ft³+1368ft³=1728ft³

30 is 60% of what number

Answers

30 is 60% of the number 50. The answer is 50

Answer:

the answer is 50

Step-by-step explanation:

x=30×100/60

x=50

A toy store had 789 games.
It sold 53 of these games.
How many games are at the store now?
I games
?

Answers

Answer:

736 games are at the store now

Step-by-step explanation:

789-53=736

Answer:

736

Step-by-step explanation:

789-53=736

Write as a fraction greater than one. (an improper fraction)
HURRY PLZZZZZZZZZZZZZZZ. ill mark brailyist thingy

Answers

Answer:

13/3

Step-by-step explanation:

The formula to calculate that is 4*3+1=12+1=13/3 so the answer is 13/3.

Answer:

13/3

Step-by-step explanation:

(4x3+1)/3

=(12+1)/3

=13/3

What is the area of a parallelogram with a base of 14 feet and a height of 6 feet? Make sure you label your answer correctly too.

Answers

Answer:

84 Square Feet.

Step-by-step explanation:

In order to calculate the area of a parallelogram, just multiply base by height. So the area of this parallelogram is 14 x 6 = 84 Square Feet.

what is the surface area of the cylinder with height 3km and radius 7km

Answers

Answer:

A=439.82 or A=439

Step-by-step explanation:

~~~~~~~~:)

7.5 is what percent of 50?

Answers

Answer:

15%

Step-by-step explanation:

A party cap is in the form of a frustum. The radii of its ends are 10cm and 30 cm. The volume of the cap is 9100. What is the height of the cap?

Answers

Answer:

4.46cm

Step-by-step explanation:

Volume of a frustum is expressed as;

V = (1/3) * π * h * (r₁² + r₂² + (r₁* r₂))

h is the height of the frustum

r₁ and r₂ are the radii of its ends

V is the volume

Given

V = 9100cm₃

r₁ = 10cm

r₂ = 30cm

Substitute

9100 = (1/3) * (3.14) * h * (10² + 30² + (10* 30))

9100 = 1/2(3.14)*h*(100+900+300)

9100 = 1.57*h*(1300)

9100 = 2,041h

h = 9100/2,041

h = 4.46cm

Hence the height of the cap is 4.46cm

what are two numbers that share a product of -24 and a sum of 5

Answers

[tex] - 3 \: and \: 8[/tex]

//

[tex] - 3 + 8 = 5[/tex]

[tex] - 3 \times 8 = - 24[/tex]

8 minus -3
8(-3) equals 24
8 plus -3 equals 5

Think of a favorite dance move, such as the Running Man. Determine whether there is periodicity associated with this dance move.

Answers

Answer:

I don't remember if Alan Walker can dance :/

Step-by-step explanation:

Dream did it better than me, you should see his answer.

Answer:

I don't know

Step-by-step explanation:

pls help with this math question !
thx !

Answers

Simplify the expression.
1
——
P (power of 3)

To find your answer I believe you need to add or multiply your exponents and since their is already three p then your answer is 3p^ and then you put your answer. Hopefully this helps.

solve the 6 linear equations
-(x+2)=2(3x-6)

Answers

the answer is x=10/7

If the sales tax rate is 7.5% in New York State, then how much sales tax would you pay in Albany for a $34 pair of pants? What is the final cost?

Answers

Answer:

Sales Tax $2.55

Final Cost $36.55

Step-by-step explanation:

Finding sales tax

34 * 7.5%= 2.55

Multiply the tax with the original cost, that will be your sales tax

Finding final cost

34 + 2.55= 36.55

Add your sales tax with the original cost, now you have the final total

Faith is organizing textbooks on her bookshelf. She has a Spanish textbook, a math
textbook, and a physics textbook. How many different ways can she line the textbooks
up on her bookshelf?

Answers

Answer:6

Step-by-step explanation: 3 *2*1=6

Answer:

6

Step-by-step explanation:

took test

3*2*1=6

what is the value of x in 75x -89 ÷ 7791 +7829 ×8391 =314682​

Answers

Hope any of this helps

I NEED HELP PLEASE ASAP, It's due soon.

Answers

Answer: y=3/4x+30
(I cannot see the x amounts to see if the units match, if the units are not moving up by 1 on the c axis the slope will be considered wrong)

Why?
Y=mx+b
M=slope
B= y intercept
Slope= rise/run
I moved up from point that directly intersects a point on the graph and moved up 3 and to the right 4 to another point that directly intersects a point.
To find the y intercept I can see that it will directly pass through 30 on the y axis so that is the y intercept

Hope this helps (if I need to explain better or if the x axis doesn’t move by 1s and I need to redo the slope just say something in the comments)

A circular race track is 62.8 miles around. A driver is moving at 5 miles an hour driving from the outside to the center of the track. How long will it take for him to arrive?
Calculate the time it takes to travel to the center.

Answers

G I V E N

Speed of driver = 5 miles/hours

Distance to be covered = 62.8 miles

F O R M U L A  ~  U S E D

Speed = Distance/Time

S O L U T I O N

Time = Distance/Speed

= 62.8 miles / 5 miles / hour

= 12.56 hours

It will take 12.56 hours to cover 62.8 miles, if the driver is moving

with 5 miles/hours

can anyone solve this​

Answers

Answer:

Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)

=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)

=1+2sin A+1/cos A(1+sin A)

=2(1+sin A)/cos A(1+ sin A)

=2sec A

Answer:

see explanation

Step-by-step explanation:

Consider the left side

[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction

= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator

= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]

= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]

= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator

= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator

= [tex]\frac{2}{cosA}[/tex]

= 2secA = right side, thus verified

Suppose we know that the birth weight of babies is Normally distributed with a mean 3500g and a standard deviation of 500g. What is the probability that a baby is born that weighs less than 3100g?

Answers

Answer:

0.21186

Step-by-step explanation:

We solve the above question using the z score formula.

z = (x-μ)/σ, where

x is the raw score = 3100g

μ is the population mean = 3500g

σ is the population standard deviation = 500g

z = 3100 - 3500/500

z = -0.8

Probability value from Z-Table:

P(x<3100) = 0.21186

The probability that a baby is born that weighs less than 3100g is 0.21186

A number cube is numbered 1 through 6. What is the theoretical probablity of rolling an even number?

Answers

A 3/6 of a chance because there’s 3 even numbers also 50% chance or 1/2 chance
It’s 1/2! Or you could say 3/6. This is because in 1-6 there are 3 even Numbers and that would be half of the 6 sides are even numbers! Hope this helps! :)

What should be added with -7/12 so that the sum is 0 ?​

Answers

Answer:

7/12

Step-by-step explanation:

You need to get -7 to be a positive number so that its zero

-7+7=0

Then just add the denominator!!!

0/12=0

I hope this helps!!!!

Write the equation of the line that passes through (4, -6) and (8, 10)

Answers

Answer:

Line equation: y=4x−22

Slope: 4

Intercept: -22

Step-by-step explanation:

please help I have an hour to complete

Answers

Answer:

proportional

:)

I don't understand this? help me! Linear functions 9th-grade math

Answers

Answer:B i think

Step-by-step explanation:

help me out. good points the image shows​

Answers

To start off with you need to get math-way it will help out

Answer:

Solution given;

3-(7-3x)=2x+2

3-7+3x=2x+2

3x-2x=2+4

x=6 is your answer.

A department store buys 200 shirts at a cost of $5,400 and sells them at a selling
price of $30 each. Find the percent markup.
The percent markun ico


please help

Answers

Number of shirts a department store bought = 200

Cost price of 200 shirts = $5400

Cost price of 1 shirt :

[tex] =\tt \frac{5400}{200} [/tex]

[tex]\color{plum} =\tt \$27[/tex]

Thus, the cost price of one shirt = $27

Price at which the department store sold each shirt = $30

Which means :

▪︎Cost price of shirt = $27

▪︎Selling price of shrit = $30

Since selling price is greater than cost price, there was a markup in the price of the shirts.

We know that :

[tex] \color{hotpink}\tt \: markup \: percentage = \color{plum} \frac{selling \: price - cost \: price}{cost \: price } \times 100[/tex]

Markup percentage in the price of the shirts :

[tex] = \tt \frac{30 - 27}{27} \times 100[/tex]

[tex] = \tt \frac{3}{27} \times 100[/tex]

[tex] = \tt \frac{3 \times 100}{27} [/tex]

[tex] = \tt \frac{300}{27} [/tex]

[tex] \color{plum} = \tt11.1 \%[/tex]

Thus, the percentage of markup = [tex] \tt 11.1 \% [/tex]

Therefore, the percentage of markup in the shirt's price = [tex] \color{hotpink} \tt11.1 \% [/tex]

Answer:

11.11%

so mark me as brainlist

LC
instrucciones: Resuelve lo que se te pide.
Ana preparo unos dulces
chiclosos. A los rojos les puso 3
cucharadas de azúcar por
cada lltro de agua, y en los
verdes 5 de azúcar por cada
dos litros, ¿que dulces estan
mas concentrados?

Answers

Answer:

los verdesestan mas concentrados

espero te ayude

Fill in the blanks to write the fraction 3/4 as in different ways

Answers

Answer:

1.3/4 × 2/2 = 6/8

2.3/4 × 3/3 = 9/12

3.3/4 × 4/4 = 12 /16

4. 3/4 × 5/5 = 15/20

.75, and 75% are two ways to say 3/4

PLEASE HELP! DUE SOON!

Answers

It’s 1.5. The question asking for the amount of seconds (x axis) have passed when the bird’s height (y axis) equals 0. Basically the x value of the point where the line touched the x axis

B.e b.i.g b.r.a.i.n a.t a.l.l t.i.m.e!
(Be big brain at all time!)

Answers

B I G  B R A I N :-))

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