The perimeter of a triangle is 44cm. The area of the rectangle is 117cm2. Find the length of the shorter side of the rectangle. Help please

Answers

Answer 1
Required Answer:

Shorter side = 9 cm

Question:

The perimeter of a rectangule is 44cm. The area of the rectangle is 117cm2. Find the length of the shorter side of the rectangle.

Let:Length rectangle be a.Width of rectangle be b.To find?Length of the shorter side of the rectangle.Given:Perimeter of rectangle = 44cmArea of rectangle = 117cm²Answer :

A/Q

Perimeter of rectangle = 44cm

We know:

p=2(L+B)

.°. ⇒44 =2(a+b)

⇒44 /2 =a+b

⇒22=a+b

So:

a=22-b

b=22-a

Now Let's put values in formula of Area

A/Q

Area of rectangle = 117cm²

We know:

Area =L×B

.°.117=ab

Put value of b in this equation

⇒117=a(22-a)

⇒117=22a-a²=0

⇒a-22a²+117=0

⇒(a- 9)(a- 13) = 0

.°. a=9

a=13cm

Let's put value of a as 13 to find b

⇒b=22-a

⇒b=22-13

⇒b=9cm

So the side having 9cm is shorter i.e. b


Related Questions

Teresa wants to buy 2 new tires for her mountain bike.

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Answer:

For her mountain bike she will have 2 tires

Step-by-step explanation:

Answer:

Yeah, then what?

What is the equation of the line shown in this graph?

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Answer:

x=-2

Step-by-step explanation:

It is a straight line when x=-2 :)

A man wants to cut down a tree in his yard. To ensure that the tree doesn't hit anything, he needs to know the height of the tree. He measures his distance from the tree at 10 meters and angle of elevation to the tree at 54 degrees. What is the height of the tree to the nearest tenth of a meter?

Answers

Answer:

the height of the tree to the nearest tenth of a meter is 13.8 meters

Step-by-step explanation:

The computation of the height of the tree is shown below:

Given that

Distance from the tree is 10 meters

And, the angle of elevation of the tree is 54 degrees

Now here we used the trigonometry

[tex]tan \theta = \frac{Height}{distance} \\\\tan 54^{\circ} = \frac{height}{10}[/tex]

So, the height is

= 10 × 1.38

= 13.8 meters

hence, the height of the tree to the nearest tenth of a meter is 13.8 meters

Please help me ive got a limited amount of time

Answers

Answer:

The third option

Step-by-step explanation:

Since the function is a constant function, all labeled points will have the same slope

Seth earns $20 a day and $2 for each ticket he sells at the local theatre. Write and solve an inequality that can be used to find how many tickets he must sell in a day to earn at least $85.
Write an inequality.

Answers

Answer:

2x + 20 >_ 85

Step-by-step explanation:

In this equation, the 85 represents how much he needs to make. The greater than or equal to symbol is basically stating that he needs to make an amount greater than or equal to 85. Our variable, x, will tell us how many tickets he needs to sell, and the 2 represents how much each ticket sells for. 2x is just saying that each ticket sells for 2 dollars. The 20 is how much he makes on a daily basis without the ticket sales. We have to include that in the 85. That's where our equation comes from :)

Elisa tiene 60 almendras y 70 pistachos y los quiere repartir en bolsas de manera que todas tengan el mismo contenido y que no sobren ni almendras y pistachos.

¿ Cuántas bolsas puede llenar?
¿ Cuántas almendras y cuántos pistachos tiene que poner en cada bolsa?

Answers

Answer:

10 bags,6 almonds and 7 pistachios

Step-by-step explanation:

Elisa has 60 almonds and 70 pistachios and she wants to distribute them in bags so that they all have the same content and that there are no excess almonds and pistachios.

How many bags can you fill?

How many almonds and how many pistachios does she have to put in each bag?

=====================

Prime factors of the given numbers:

60 = 2*2*3*570 = 2*5*7

LCM(60, 70) = 2*5 = 10

The greatest number of the bags is 10

Each bag will contain:

60/10 = 6 almonds and70/10 = 7 pistachios

A TV has an original price of $499. If the price decreases by 10%, what is the new cost?

by the way i am in middle school

Answers

Answer:

The answer is 49.9

Step-by-step explanation:

499/10==49.9

Hope this helps

$449.10

I've attached a photo with my work :)

A'Reana earns a weekly allowance for doing chores around the house and for keeping all of her grades above a C. During a particular week, she gave
$10 to her friend Taylor, spent half of the remaining money on a new shirt, and then spent $7.50 on a pizza. At this point, she had $37.50. How much is
A'Reana's weekly allowance?​

Answers

Answer:

Answer: A'Reana's weekly allowance is $100

Step-by-step explanation:

Backward Solution

To solve some problems, we can work backward, using the inverse operations, to arrive at the solution.

The problem explains a sequence of expenses A'Reana does with her weekly allowance. In the end, she had $37.50.

That final balance came when she last spent $7.50 on a pizza. Thus, before that, she had $37.50+$7.50=$45

This balance is half of her previously remaining money. The other half was spent on a new shirt. Thus she had 2*$45=$90.

Those $90 were left after she gave $10 to her friend Taylor, thus, the initial money was $90+$10 = $100

Answer: A'Reana's weekly allowance is $100

How can the statement be rewritten as a conditional statement in if-then form? Lines on a coordinate plane are perpendicular if they have opposite reciprocal slopes. If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular. If lines are on a coordinate plane, then they are perpendicular. If lines are on a coordinate plane, then they have opposite reciprocal slopes. If lines have opposite reciprocal slopes and are perpendicular, then they are on a coordinate plane.

Answers

Answer:

The first option. "If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular."

Step-by-step explanation:

It is the only one that makes sense, tbh. But, it includes the proper "if-then" form like the question requests it have. It also incorporates all aspects of the original statement-

a.) lines on a coordinate plane

b.) perpendicular

c.) opposite reciprocal slopes.

You're welcome. :D

Answer:

Its A

Step-by-step explanation:

edge 2021

what is 12.0 - 9.6= what

Answers

Answer:

Step-by-step explanation:

2.4

Answer:

2.4

Step-by-step explanation:

9.6 to 10 is .4

10 to 12 is 2

2+.4= 2.4

(That's how I do it mentally, sorry if it doesn't help with you)

Is 0.18 a rational number

Answers

Answer:

Yes, it is a rational number.

Step-by-step explanation:

A button machine produces one button in 0.15 seconds. How many buttons are produced in 48.6 seconds?

48.6 divided by 0.15

Multiply the divisor and dividend by
.

The new division problem becomes
.

The quotient of 48.6 ÷ 0.15 is
✔ 324
.

Estimating to check, you get
.

Answers

Answer:

Multiply the divisor and dividend by

✔ 100.

The new division problem becomes

✔ 4,860 ÷ 15.

The quotient of 48.6 ÷ 0.15 is

✔ 324 .

Estimating to check, you get

✔ 5,000 ÷ 15 = 333.33.

Step-by-step explanation:

i did edg.

Answer:

100, 4860 divided by 15, 324, 5,000 divided by 15 equals 333.33

Step-by-step explanation:

I took math test and got this right

you are travelling on a bus to camp which is 200miles away at 50mph.the number of miles,N,that you have left to travel after t hours

Answers

Answer:

N= 200-50t

Step-by-step explanation:

Question 4
Change the positions of vertices A, B, and C to create a triangle of your choice. Does the relationship between and change when the vertices of ∆ABC are modified? Explain.
10+

Answers

Answer:

No, there is no change in the relationship. The slopes of AC and DE continue to be equal, and the length of DE remains half of the length of AC.

Step-by-step explanation:

The answer is from Plato. I hope this helps :)

Answer:

No, the connection has not changed. The slopes of AC and DE are still equal, and the length of DE is still half that of AC.

Step-by-step explanation:

From Plato but in my own words! :)

CAN someone help me with this pls
WILL GIVE BRAINLIEST

Answers

Answer:

the answer would be $394.00

Step-by-step explanation: Brainliest please

because you divide 187.15 by 19 and that will be what she makes for zero than you multiply 9.85 by 40 then you get 394

pls pls help.,.,.,.,.,.,.,.,.

Answers

Answer:

+5

Step-by-step explanation:

Answer:

y = -1/2 x + 1

Step-by-step explanation:

(-2, 2) and (4, -1)  are points of the linear function, that will be described as:

y = ax + b

setting x=-2, y=2:

2 = -2a + b, so b = 2 + 2a

setting x=4, y=-1:

-1 = 4a + b ⇒ -1 = 4a + 2 + 2a ⇒   -3 = 6a ⇒ a = -1/2, b = 1

y = -1/2 x + 1

which regression equation best models the data?
a) y= 7.57 sin(0.55x + 0.68) + 64.40
b) y = 7.57 sin(0.68x + 0.55) + 64.40
c) y= 7.57 sin(-0.55x + -0.68) + 64.40
d) y = 7.57 sin(-0.68x + -0.55) + 64.40​

Answers

Answer:

C. y = 7.57 sin(–0.55x – 0.68) + 64.40

Step-by-step explanation:

Just got it right on edge

Answer:

ITS C STAN SKZ

Step-by-step explanation:

Calculate the quotient. Simplify your results 2/7 divided 1 2/7

Answers

Answer:

1 4/7

Step-by-step explanation:

7(3 + 4y) - 15y = 73
( Multi-step equations)
show work please and thank you​

Answers

Answer:

Step-by-step explanation:

7(3+4y)-15y=73

21 plus 28y-15y=73

21 plus 13y = 73

13y=51

y=4

Step-by-step explanation:

Step 1: Multiply the 7 into the bracket.(make sure that your signs are correct)

Step 2: Minus the 21 from the 73.( Because when you take a value over the equal sign the value's sign changes)

Step 3: Minus 15y from 28y.

Step 4: Divide 52 by 13( because when you take the 13 over it divides ,because on the other side lf the equal the 13 multiples with the y)

Suppose Huston deposit $600 into a savings account with a simple interest rate of 2.5%. How many years would he have to keep his money in the bank in order to earn at least $120 in interest?

Answers

Answer:

At least 8 years

Step-by-step explanation:

Deposit = $600

Interest rate = 2.5% simple

Time = x years

Target interest amount ≥ $120

600*0.025*x ≥ 12015x ≥ 120x ≥ 120/15x ≥ 8 years

At least 8 years

What's the square root of -3i

Answers

Answer:

-√-3

Step-by-step explanation:

Answer:The

Step-by-step explanation [tex]-\sqrt{-3}[/tex]

x/5=6/7 how do I solve for x?​

Answers

Answer:

x=30/7

Step-by-step explanation:

you have to multiply both fractions by 5 to eliminate 5 from the first fraction(not the denominator of the second fraction) which makes the equation

x=30/7

Step-by-step explanation:

Isolate X first

[tex]\frac{x}{5} =\frac{6}{7}[/tex]

multiply both sides by 5 to get x on its own.

[tex]x =\frac{5*6}{7}[/tex]

simplify this fraction

[tex]x=\frac{30}{7}[/tex]

[tex]x = 4\frac{2}{7}[/tex]

There You go

3 + (2 + 8)2 + 4 X (4 | (2)


i need help ​

Answers

Answer: 1/2

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

y’all can someone please help me

Answers

Answer:

Divide the 6 boxes by 3/5

Step-by-step explanation:

These two images show steps in a proof of the Pythagorean theorem. Which
of the following statements about the proof is false?
A. The triangles in step 1 have the same combined area as the triangles in step 2.
B. The area of the interior square in step two is greater than the combined area of the two interior squares in step 1.
C. The proof shows that a2+ B2=C2
D. If you subtract the sum of the areas of the four triangles from the complete figure in both steps, the remaining areas are equal.

Answers

Answer: B, the area of interior square in step 2 is greater than the combined area of the two interior squares in step 1.

Step-by-step explanation: I took the quiz and got it right

The area of the interior square in step 2 is greater than the combined area of the two interior squares in step 1. Then the correct option is B.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

These two images show steps in the proof of the Pythagorean theorem.

The area of the interior square in step 2 is greater than the combined area of the two interior squares in step 1.

Then the correct option is B.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2


The outside temperature is -20° F and rising at a rate of 5 degrees per hour. How long will it be before the temperature reaches 0 F?

Answers

Answer:

Pretty sure it would take 4 hours.

Answer:

4 hours

Step-by-step explanation:

If I were to simplify the expression 10-19 would my answer be a positive or a negative an why

Answers

Answer:

It would be negative. 10 subtracted by any number higher then 10 will always be negative. Make a number line and go backwards 19 if you need the help.

Step-by-step explanation:

Answer: It will be negative because 19 is greater than 10 and 19 itself  is being subtracted from 10.

Step-by-step explanation:

10-19  is equal to -9.

An example is using the number line to plot the solution,  you will start from 10  and move backwards 19 units because you are subtracting 19 from 10. If a bigger number is being subtracted from a smaller number, the solution will be always negative.

Write the equation for the perpendicular bisector of a segment that has endpoints (–1, 10) and (3, 6).
A) y = x – 7
B) y = x + 7
C) y = –x + 9
D) y = x + 11

Answers

Answer:

y= x+7

Step-by-step explanation:

find the midpoint using the midpoint formula

you get (1,8)

find the slope

-1 and the opposite reciprocal is 1

put the midpoint and  the opposite reciprocal slope in

the formula y-8= 1(x-1)

simplify y=x+7

PLEASE HELP FAST Owo​

Answers

Answer:

Obtuse triangle

Right triangle

Acute triangle

Acute triangle

Step-by-step explanation:

When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:

1) Square all 3 sides.

2) Sum the squares of the 2 shortest sides.

3) Compare this sum to the square of the 3rd side.

if sum > 3rd side:  Acute Triangle

if sum = 3rd side:  Right Triangle

if sum < 3rd side:   Obtuse Triangle

Answer:

Obtuse triangle

Right triangle

Acute triangle

Acute triangle

Step-by-step explanation: ug im sorry i am not good at school uwu but this should be the answer also, uwu hehe

An equation is shown below: 5(2x-8) +15 = -15 write the steps you will use to solve the equation and explain each step

Answers

Answer:

5(2x-8)+15=-15

10x-40+15=-15

10x-25=-15

    +25   +25 (add 25 to both sides)

____________

10x=10

divide by 10 on both sides

x=1

Answer:

x=1

Step-by-step explanation:

First youd distribute the 5 to the 2x-8 so that way you can combine like terms and make the equation smaller

10x - 40 + 15 = -15

combine the -40 and 15

10x - 25 = -15

add 25 to both sides to get 10x by itself on the one side. you have to add 25 to the -15 because the two sides must stay balanced

10x = 10

divide by 10 to get x by itself. you must divide since x is being multiplied by 10

x=1

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