urgent!! - What is the perimeter of a parallelogram, if it's area is 36 cm2 and the distances between the point of intersection of the diagonals and the sides are 2 cm and 3 cm?

Answers

Answer 1

Answer:

  30 cm

Step-by-step explanation:

The distance from the intersection of the diagonals (center of the parallelogram) to one side is half the height when that side is considered the base.

So, if the height is 2×(2 cm) = 4 cm, and the area is 36 cm², the base for that height must be ...

  (36 cm²)/(4 cm) = 9 cm.

Similarly, if the height is 2×(3 cm) = 6 cm, the base for that height is ...

  (36 cm²)/(6 cm) = 6 cm.

These "bases" are the side lengths of the parallelogram, so its perimeter is ...

  P = 2(s1 +s2) = 2(9 cm +6 cm) = 30 cm

The perimeter of the parallelogram is 30 cm.


Related Questions

Which best describes the relationship between the lines with equations -36x + 8y = 16
and -9x + 2y = 4?

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

-36x + 8y = 16

-9x + 2y = 4

4(-9x + 2y = 4)

-36x + 8y = 16

Now, we can see that the two lines are exactly the same, which means that they have infinitely many solutions.

Hope this helps!

What is the x-coordinate of point P on the coordinate grid?

Answers

Answer:

-3/2

Step-by-step explanation:

We have to see where the point lies, check the x-axis from the graph.

(-3/2, 1/2)

x = -3/2

-3/2

Step-by-step explanation:

We have to see where the point lies, check the x-axis from the graph.

(-3/2, 1/2)

x = -3/2

Two ants, Andy and Ashley, went to visit their friend. Andy crawled the whole way, but Ashley spent half of the way riding on a caterpillar, which was two times slower than crawling. Ashley spent the second half of the journey riding on a grasshopper, which was 5 times faster than crawling. Which ant got to their friend's house first, if they left at the same time? PLZ EXPLAIN IT VERY SIMPLE

Answers

Answer:

Andy

Step-by-step explanation:

Ashely rode the caterpillar till the half of her journey. And Andy crawled all the way.

Crawling is twice as fast as riding the caterpillar, so by the time Ashley got to the half of her journey, Andy would have already reached their friends house.

Answer:

Andy

Step-by-step explanation:

Please see attached picture for full solution.

If y = 6x - 3, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs {(0, 3), (1, -9), (2,-15) (0, -3), (2, 15), (4,21)} (0, -3). (2,9),(4,21)} {(0.3),(-2, 15), (4, 21)}

Answers

Answer : (0, -3) ; (4,21) and (2,9)

Step-by-step explanation:

y = 6x- 3

y =0*x-3 = -3           (0,3) is not a possible set

y = 1*6-3 = 3            (1,-9)  is not a possible set

y = 6*2-3 = 9              (2,-15) is not a posiible set

(0.-3) is a possible set as verified in the first one

(2,15) is not a possible set since the output of 2 is 9

y = 4*6-3 = 21            so (4,21) is possible set

(2,9) is a possible set as verified in the third one

Answer: ( 0,-3), (2,9),(4,21)

Step-by-step explanation:

The radius of a circle is three units. What is the diameter of the circle?

Answers

Answer:

6 units

Step-by-step explanation:

3x2=6

Answer: 6 units

Step-by-step explanation: The diameter of a circle which is a cord that passes through the center is always 2 times the radius.

So if we know that the radius of pour circle is 3 units,

we can simply multiply 2 by 3 to get 6 units.

So the diameter is 6 units.

Evaluate the given algebraic expressions replacing x with −2 and y with 1. 3x to the power of 2

Answers

Answer:

The answer is probably-36

Step-by-step explanation:

Mei-Ling is one of 6 members of a committee. If 2 members of that committee are selected to go to a conference, how many of the possible pairs of members would include Mei-Ling?

Answers

Answer:

  5

Step-by-step explanation:

Mei-Ling could be paired with any of the other 5 committee members, so there are 5 possible pairs than include Mei-Ling.

Jan is solving the equation shown below. Which of the following represents the solution to Jan’s equation?

a. x = 3
b. x = -3
c. x = 27
d. x = -33

Answers

Answer:

C. X=27

Step-by-step explanation:

-11+1/3x+9=7

1/3x=7+11-9

1/3x=9

x=9x3

x=27

A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation? 1200 = 40 (40) + b 1560 = 30 (40) + b 1560 = 30 (52) + b 1200 = 52 (30) + b

Answers

Answer:

1560 = 30(52) + b

Step-by-step explanation:

First job has $1200 in labor expenses for 40 hours worked,

Point (x,y)

(40, 1200

Second job has $1560 in labor expenses for 52 hours worked.

Point (x,y)

(52,1560

Slope of the line, m

m=1560-1200/52-40

=360/12

=30

Slope intercept,y

y=mx+b

Where,

b= y intercept

y=30x+b

points: (40,1200) and

(52,1560)

Equation to find y-intercept

y=30x+b

For point (40,1200)

1200 = 30(40) + b

y=30x+b

For point (52,1560)

1560 = 30(52) + b

The correct equation is

1560 = 30(52) + b

Answer: It is C

Step-by-step explanation:

math

Help ! Help ! Help !

Answers

Answer: $ 82,531.59.

Step-by-step explanation:

Formula to calculate the accumulated amount compounded daily:

[tex]A=P(1+\dfrac{r}{365})^{t}[/tex]

,where P=principal amount, t=time ( in days ), r =rate of interest.

Given: P= $51,123.21

r = [tex]2\dfrac{3}{8}\%=\dfrac{19}{8}\%=0.02375[/tex]

t= 20 years 2 months

[tex]= 20(365)+\dfrac{2}{12}(365)\\\\= 7360.83[/tex]  [1 year = 365 days, 1 year = 12 months]

Substitute all values in the formula, we get

[tex]A=(51123.21)(1+\dfrac{0.02375}{365})^{7360.83}\\\\\approx82531.59[/tex]

hence, future value = $ 82,531.59.

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.
Statement 1: If Bo is Mel's sibling, then Melis Bo's sibling.
Statement 2: If the sprinklers are on, then the grass is wet.

Answers

Answer:

1. Both forward and backward

2. Only forward

Step-by-step explanation:

    The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.

The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.

Answer:

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse. Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling. / Statement 2: If the sprinklers are on, then the grass is wet.

Step-by-step explanation:

A certain worker makes $12 per hour for the first 40 hours and $18 for every hour more than 40. Compute her pay for working 45 hours.

Answers

Answer: $570

Step-by-step explanation:

She worked 5 hours more than 40.  Thus, for her extra hours she made 18*5, or $90.  For her other 40, she made 40*12, or $480.  Thus, she made 480+90 dollars, or $570.

Hope it helps <3

Answer:

$570

Step-by-step explanation:

Since she is working 40 hours you need to multiply 12 · 40 first and should get 480

Since there is an extra 5 hours you need to do 18 · 5 = 90

Lastly, you add 480 and 90 and you will get 570

in a survey of 420 people, 85% said they drink coffee. of these, 1/3 said they drink their coffee black. how many of the people surveyed drink it black?​

Answers

Answer:

A.) 119

420 * 0.85 is 357 and 357 * 1/3 is 119

Hope this helps ^^

Answer:

119

Step-by-step explanation:

The total number of people who had taken the survey is 420 wich is equivalent to 100%.

The percentage of people who drink coffee is 85%.

●●●●●●●●●●●●●●●●●●●●●●●●

Let x be the number of people drinking coffee

● 420 => 100%

● x => 85%

These values are proportional so we can cross-multiply them

● x*100 = 420*85

● x = (420*85)÷100

● x = 357

The number of people who drink coffee is 357.

■■■■■■■■■■■■■■■■■■■■■■■■■

Let y be the number of people who drink black coffee.

y is 1/3 of 357 since people who drink black coffee represent the third of the total number of people drinking coffee in general.

● To get y multiply 1/3 by the total number of people drinking coffee (357)

●y = (1/3)*357

● y = 119

119 is the number of people who drink black coffee

30 points will give brainliest to whoever gets it right

Answers

Answer:

8(.5)^x

Step-by-step explanation:

This is only broken up into two main parts: the "a" and the "b" of the equation.The "a" is the y-coordinate when x is at 0 and the y-coordinate is 8 there so that fills it in.The "b" is the rate at which for every time x increases by 1, the y decreases by a portion of its current. In this case, every time the x increases by one, the y value cuts in half which means the rate is .5 or one half.Therefore, the answer is 8(.5)^x
Yep the other person got it right

May someone help me with this please thanks!!

Answers

Answer:

1.57

Step-by-step explanation:

Circumference=2pi r

=2x3.14x.25

=1.57

Answer:

C = .5 pi inches

If we approximate pi by 3.14

C =1.57 inches

If we approximate pi by  the pi button

C =1.570796327 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2* pi *r

C = 2 * pi * .25

C = .5 pi

If we approximate pi by 3.14

C =1.57 inches

If we approximate pi by  the pi button

C =1.570796327 inches

On a 120-question test, a student got 96 correct answers. What percent of the problems did the student work correctly? (Btw use proportions and pls explain descriptively how you got your answer)

Answers

Answer:

Hey there!

96 correct/120 total= 4 correct/5 total.

Thus, the student had 0.8 of the answers correct, or 80% of them

Hope this helps :)

Answer:

please mark me as the brainliest

Step-by-step explanation:

80%

Which of the following represents *picture attached*

Answers

Answer:

The answer is option C

Step-by-step explanation:

104

E 6

x = 1

Write the number as a product with the factor 1

104

E 6 × 1

n = 1

Rewrite the sum

That's

104

6 × E 1

n = 1

Find the sum of n terms of 1 using the formula

n

E 1

k= 1

Which is

6(104) = 624

Hope this helps you

Answer:

  6(104) = 624

Step-by-step explanation:

The summation symbol ...

  [tex]\sum\limits_{n=1}^{104}{\text{expression}}[/tex]

means that the expression is evaluated for n=1, n=2, n=3, n=4, ... up to n=104 and all of those are added together. Here, the expression being evaluated is "6", which does not depend on n. So, this is simply the sum of 104 instances of 6:

  6 +6 +6 +6 ...+6 . . . . 104 terms in the sum

As we know, repeated addition can be accomplished by multiplication:

 = 6(104) = 624

HELP ASAP. BRAINLIST IF YOU ANSWERED IT RIGHT

Which of the following theorems verifies that NPO-XYZ

Answers

Answer:

The answer is D.

Step-by-step explanation:

In similarity, the triangles have the same angles but different length of sides.

(Correct me if I am wrong)

Answer:

D. AA

Step-by-step explanation:

We do not know height or length, so that rules out A, B, and C. This leaves us with D which is angle~angle, (37 and 90 degrees). Hope this helps. :)

Hi . I need help with the question below and the one in the picture.

(1.) Four girls shared a certain sum of money. The first received ½ of it , The second received ¼ and the third received 1/5 of it . If the fourth girl received 25 Kobo , what was the original sum of money.
(a). N6.00
(b). N5.00
(c). N4.50
(d). N3.50
(e). N2.50


Note : 100kobo = N1

Workings Please.​

Answers

Answer:

1) N5.00

2) N1.50

Step-by-step explanation:

1) 1/2+1/4+1/5=10/20+5/20+4/20=19/20=95%

That means the 4th girl received 5%.

25 is 5% of 500

500 Kobo is N5.00

2) He lost 55%, so they means he has 45% left.

67.5 is 45% of 150

(67.5/0.45=150)

150Kobo is N1.50

Identify the first 4 terms in the geometric sequence given by the explicit formula ƒ(n) = 4 × 2(n – 1). Question 3 options: A) 4, 8, 16, 32 B) 2, 6, 10, 14 C) 4, 6, 8, 10 D) 2, 8, 32, 128

Answers

Answer:

A

Step-by-step explanation:

Hello, please consider the following.

[tex]f(1)=4*2^0=4\\\\f(2)=4*2^1=8\\\\f(3)=4*2^2=16\\\\f(4)=4*2^3=32[/tex]

So the correct answer is the first one A.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

the answer is A !!!!!!!!

THE ANSWER IS NOT 12 OR 36 SO DO THE RSM ANSWER PLS ASAP PLS OH PLS 0-0 a * b=ba−ba+ab, find (2*3)×(3*2).

Answers

72 if * is exponents

A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score 5 points?

Answers

Answer:

1/20

Step-by-step explanation:

There are 20 spots on the board and the odds u will land on 5 would be 1/20

Which of the following are accurate descriptions of the distribution below?

Answers

Answer:

the most years of experience is 2, and the least years are 10 years

Step-by-step explanation:

The most is 2 and the least is 10.

A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, and then draw a 2nd piece of fruit from the basket. What is the probability of selecting two oranges in a row from the basket if you are blindfolded?

Answers

Answer:

5:12 or 4:11

Step-by-step explanation:

there are a total of 12 pieces of fruit including 5 oranges the first draw then on the second draw there are now 11 total pieces of fruit and 4 oranges

Please help..........

Answers

See the attached picture:

This is the answer you need I hope it helped

WILL MARK BRAINLIEST PLEASE HELP!!!!! in your own words what does it mean to have one solution in a liner equation what does it mean to have no solutions in a liner equation what does it mean to have infinite solutions in a liner equation

Answers

Answer:

One solution: When the graphs intersect at one point

No solution: This means that the lines are parallel or that there is no answer to the equation

Infinite solutions: This means that any value for the variable would make the equation true

Step-by-step explanation:

graph y=3/4x+2 on a graph

Answers

Answer: See below

Explanation:

Here is a picture:

Please help i will make brainliest for correct answers! ​

Answers

Answer:

15.  18 groups

16.  60 combinations

Step-by-step explanation:

6*3=18

20*3=60

An amusement park sells adult tickets and children’s tickets, with adults tickets costing $5 and children’s tickets costing $3. If Ed bought 15 tickets and spent a total of $57, how many children’s tickets did he buy? 3 5 6 9

Answers

Answer:

Nine

Step-by-step explanation:

3 dollars for children tickets : x

5 dollars for adult tickets: y

Equation is:

3x+5y=57

Where 57 is the total amount spent

x+y=15  

where 15 is the total number of tickets bought

3x+5y=57

5(x+y)=5(15)

___________________

3x+5y=57

5x+5y=75

minus the equations top to bottom=

-2x= -18

x= -18/(-2)

x=9

He bought a total of 9 children tickets

Answer:

the answer is 9 or D

Step-by-step explanat ion:

Two passenger trains traveling in opposite directions meet and pass each other. Each train is 1/12 mi long and is traveling 50 mph. How many seconds after the front cars of the trains meet will their rear cars pass each other?

Answers

Answer:

6 seconds

Step-by-step explanation:

Total distance between the 2 rear cars = [tex]\\\frac{1}{12} + \frac{1}{12} = \frac{1}{6}\\\\\\\\\\Relative speed of the trains = 50 + 50 = 100 mphT = \frac{Distance}{Speed} = \frac{1}{6} * \frac{1}{100} = \frac{1}{600} hours\\T = \frac{1}{600} hours or \frac{3600}{600} = 6 seconds[/tex]

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