The perimeter of rectangle ABCD is 72. The ratio of the lengths of the sides
is 1:2. What are the lengths of the sides?
a. 12 and 18
b. 12 and 24
c. 4.5 and 9
d. 6 and 12

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The two lengths of the rectangle ABCD will be 12 and 24

What will be the length of the rectangle?

It is given that

The perimeter of the rectangle

P=72 units

The ratio of the length

[tex]\dfrac{a}{b}=\dfrac{1}{2}[/tex]

Now from the formula of the perimeter of the rectangle

[tex]P= 2(a+b)[/tex]

[tex]\dfrac{a}{b}=\dfrac{1}{2}[/tex]

[tex]b=2a[/tex]

[tex]2(a+2a)=72[/tex]

[tex]6a=72[/tex]

[tex]a=12[/tex]

[tex]b=2\times 12=24[/tex]

Thus the two lengths of the rectangle ABCD will be 12 and 24

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Related Questions

After substituting, what is the first operation performed by hen evaluating 5+(9x-3) divided by 2 for x=5?

Addition
Multiplication
Subtraction
Division

Answers

Follow the order of operations
Go Inside Brackets and multiple or divide then add or subtract.
Then go back and solve from left to right.

So it is MULTIPLY 9x5

Determine the surface area from the folllowing nets. Type the answer in the space provided (no units needed). If the answer is correct a mystery picture will appear. (Zo om in for bigger picture of dimensions)

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Answer:

#1

Surface area is the sum of 3 rectangles and 2 triangles:

S = 8*6 + 9*6 + 8*3 + 2(1/2*3*6) = 144 ft²

#2

Surface area is the sum of 1 square and 4 triangles:

S = 5*5 + 4*(1/2*3*5) = 55 ft²

Felix drove 68 mies in 1 hours
He had a 30-minute break and then drove a further 40 miles in 45 minutes.
Work out his average speed for the whole joumey
Give your answer in:
a) miles per hour
b) kilometres per hour
C)metres per second.

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Answer:

Step-by-step explanation:

30 minutes every three fourths of an hour

OMG PLEASE HELP IF I DONT PASS THIS I FAIL MY CLASS! HELP! 30 POINTS SHOW WORK IF U NEED TO PLEASE! thank you too anyone(PRETTY PLEASE SHOW HOW YOU DID IT/can you show work)

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Answer:

C seems right to me

Step-by-step explanation:

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Step-by-step explanation:

f(x)= square root of x

g(x)= - square root of -1/2x+3

Please help me with this!!

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Answer:

transversal angle

Step-by-step explanation:

PLEASE HELP ASAP <33

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Answer:I don't know this one

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Answer:

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Step-by-step explanation:

Answer:

Black , Blue or White

Step-by-step explanation:

If 3x-y=12, what is the value of
[tex] \frac{8 ^{x} }{2^{y} } [/tex]
A) 2^12
B) 4^4
C) 8^2
D) The value cannot be determined for the information​

Answers

Answer:

2¹² (Option A)

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

Any number having 0 as its exponent , the overall result will be 1. For e.g. :- [tex]a^0 = 1[/tex] (where 'a' is any number).Lets say there's a number 'a' having '- x' as its exponent , then - [tex]\frac{1}{a^{-x}} = a^x[/tex]

__________________________________________________________

Lets put random values in place of x.

Let x be 0.

Putting x = 0 in the eqn. 3x - y = 12 gives the value of y.

[tex]=> 3 \times 0 - y = 12[/tex]

[tex]=> -y = 12[/tex]

[tex]=> y = -12[/tex]

So, we can conclude that by putting x = 0 , we get y = -12.

Now , putting x = 0 & y = -12 in  [tex]\frac{8^x}{2^y}[/tex]  gives -

[tex]=> \frac{8^0}{2^{-12}} = \frac{1}{2^{-12}} = 2^{12}[/tex]

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Answers

Answer:

You would multiply (3 times 17) and then add 5. So the equation would look like this.

m=(3*17)+5                                                                                                                          Step-by-step explanation:

Answer:

3x 17

do that first then add 5

Step-by-step explanation:

hope this helps

have a nice day/night

15. A hot dog stand sells of its hot dogs before noon, and of its hot dogs after noon. At the
end of the day they have 21 hot dogs left. How many hot dogs did they sell?



PLEASE HELP WILL MARK BRAINLEST!

Answers

Answer:

Step-by-step explanation:

The first thing to do is convert to a common denominator.  

So 1/2 =4/8. That means the vendor sold 4/8+3/8=7/8 of its hot dogs. 280 = 7/8. Now if you divide 280 by 7, you get 1/8 (answer = 40). The vendor sold 7/8 and 1/8 was left, which = 40. 8/8 would be 280 + 40 = 320.

It took Jonah three hours and 45 minutes to drive 240 miles. What was Jonah’s average speed in miles per hour?

Answers

Answer:

Step-by-step explanation:

Jonah drove 3 h and 45 min,  or 225 minutes

He drove 240 miles

225 minutes...................................240 miles

60 minutes(1H)......................................? miles

(60*240)/225=64

he drove 64 miles per hour

Find the measure of the listed angles below.

Answers

Answer:

30,90

Step-by-step explanation:

because it all adds up to 180

Answer:

E and I are alternate interior angles, therefore are congruent

m∠E = m∠I = 60°

E and F are complementary, therefore add to 90°

m∠F = 90° - 60° = 30°

H and I supplementary, therefore add to 180°

m∠H = 180° - 60° = 120°

In 2010, Cornfield Farms produced 175,000 bushels of corn. Each year since 2010, their total corn harvest has increased by 2.5% over the previous year.

Write an exponential function, f(x), that models the number of bushels of corn produced x years after 2010.

Enter your answer by filling in the boxes.

f(x)= · ( )x

Answers

Answer:

f(x)=(2.5)x

Step-by-step explanation:

x equals the number of years after 2010, and every year after 2010 their total corn harvest increases by 2.5%, so you would have 2.5 multiplied by however many years after 2010 it is

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How to calculate compound interest's amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

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The final amount becomes:

[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]

We can use compound interest formula whenever there is compounding (increment or decrement) per unit time.

Here, the initial amount of  production farm was doing in 2010 is 175000 bushels of corn.

This value increases by 2.5% per year.

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Thus, the exponential function f(x) that models the number of bushels of corn produced x years after 2010 is [tex]f(x) = 175000(1.025)^x[/tex]

Learn more about compound interest here:

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Mrs. Lee teaches 132 students every day. On a particular day, one-fourth of her students are sick and 24 go on a field trip. In addition to these absences, she gets three new students. How many students does she teach on this day?

Answers

Answer: 78

Step-by-step explanation:

Given

Mrs. Lee has [tex]132[/tex] students

On a particular day, one-fourth of her students are sick i.e.

[tex]\Rightarrow \dfrac{1}{4}\times 132=33[/tex]

and 24 were on a field trip.

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[tex]\Rightarrow 132-33-24+3\\\Rightarrow 78[/tex]

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Answers

Answer:

3. 7

4. 9

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8. 32

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Step-by-step explanation:

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Answers

Answer:

The point is at about (4.5, 100).

Step-by-step explanation:

Minka's line is p = 22t, which has a y-intercept of 0.

Kenji's line is p = 50 + 11t, which has a y-intercept of 50.

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Answers

Answer:

3

Step-by-step explanation:

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Answer:

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Answer:

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Answers

Answer:

Answer:

2500

Step-by-step explanation:

50020%50020%

Convert 20%20% to a decimal.

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Answers

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Answers

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Step-by-step explanation:

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That's the answer

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Answers

Answer:

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. If any two angles and the included side are the same in both triangles, then the triangles are congruent.

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(side, angle, side) ...

(angle, side, angle) ...

(angle, angle, side) ...

(hypotenuse, leg)

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Answers

Answer:

24 in

Step-by-step explanation:

Perimeter = 9 + 5 + 1 + 5 + 4 = 24 in

Hope that helps!

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Answers

Answer:

-13

Step-by-step explanation:

Opposite of 9t = -9t

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Hence the expression in standard form is -13

Susan bikes 3 miles round-trip from home to school, Monday through Friday. On Saturday and Sunday she does not ride her bike, but skateboards around her neighborhood. How many miles total does she bike to and from school each week?

Answers

Answer:

15 miles

Step-by-step explanation:

5 days times 3 miles per day.

the saturdat/Sunday skateboarding stuff is irrelevant to the question asked

the answer is 15. hope i helped

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b. −10x 5x2 =
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Answers

A) Answer:

4 (4x - 1)

B) Answer:

-5x ( 2 + x )

C) Answer:

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Answer:

3

Step-by-step explanation:

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find the value of given expression

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Answers

Answer:

2 ans ......

Step-by-step explanation:

Solution:

= ³√9-1

= ³√8

= 2 ans....

Answer:

[tex] \sqrt[3]{9 - 1} = \sqrt[3]{8 } = \sqrt[3]{ {2}^{3} } = + - 2[/tex]

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