The diagram shows a rectangle. If the perimeter of the rectangle is 66 cm, what is the area of the rectangle?​

The Diagram Shows A Rectangle. If The Perimeter Of The Rectangle Is 66 Cm, What Is The Area Of The Rectangle?

Answers

Answer 1

Answer:

Step-by-step explanation:

Perimeter of the rectangle = P

Base = b

Height = h

Area = A

P = 2b + 2h

P = 66

STEP 1:

2(2x + 1) + 2(x + 5) = 66

Distribute

4x + 2 + 2x + 10 = 66

STEP 2:

Combine like terms and isolate the variable

6x + 12 = 66

6x = 54

x = 9

STEP 3:

Plug in x

A = (2(9) + 1) * (9 + 5)

STEP 4:

Simplify

A = (18 + 1) * (14)

A = (19)(14)

A = 266

Answer 2

[tex]\displaystyle\bf P=2(2x+1+x+5)=66\\\\6x+12=66\\\\6x=54\\\\\boxed{x=9}\\\\2x+1=19\\\\x+5=14 \\\\S=ab=14\cdot19=266 cm^2[/tex]


Related Questions

if x/y=(3/5)^3÷(6/5)^0'find the value of (x/y)^2​

Answers

Answer:

729/15625

Step-by-step explanation:

1. Evaluate the power

( (27/125) ÷ 1 )^2

2. divide

( 27/125 )^2

evaluate the power

( 27^2 / 125^2 )

729/15625

The entry for a science exhibition is $5 for students and four dollars more than the students for adults. On a particular day, 600 people visited the exhibition and $3500 was collected. How many students and adults visited on that day?

Answers

Answer:

475 students, 125 adults

Step-by-step explanation:

x + y= 600......equation 1

5x +9y= 3500.......equation 2

From equation 1

x +y = 600

x= 600-y

Substitute 600-y for x in equation 2

5(600-y) +9y= 3500

3000-5y+9y= 3500

3000+4y= 3500

4y= 3500-3000

4y= 500

y= 500/4

y= 125

Substitute 125 for y in equation 1

x + y= 600

x + 125= 600

x = 600-125

x= 475

Hence there are 475 students and 125 adults

Which of the following represents the general form of an inequality?
Ax + By 2 C
Ax + By >
Ax + By < 0
All of the choices

Answers

Answer:

Third option:

Ax + By < 0

Step-by-step explanation:

The general form of an inequality is:

(something)  (symbol)  (another thing).

Where the symbols can be:

> = "larger than"

< = "smaller than"

≤ = "smaller than or equal to"

≥ = "larger than or equal to"

So, a given inequality can be:

K > M

This means that K is larger than M.

From the given options, the only one that has this general form is the third option:

Ax + By < 0

This can be read as:

"A times x, plus B times y, is smaller than zero"


8) A pyramid has a rectangluar base with length 12 km and width of 5 km. If the volume is 200
cubic kilometers, what is the height?

Answers

Hi there!

[tex]\large\boxed{h = 10km}[/tex]

We know that the equation for the volume of a pyramid is:

V = 1/3(bh)

We know that:

V = 200 km³

b = 12 × 5 = 60 km²

We can plug these into the equation:

200 = 1/3(60)(h)

Simplify:

200 = 20h

Divide both sides by 20:

200/20 = 20h/20

h = 10 km

What is the value of a+b?
A) 110
B) 125
C) 135
D) 145

Please help!!!!

Answers

To find a you divide 90 by 2 which equals 45. So a=45
A circle has 360 degrees. So you add 90 and 110 together and get 200 degrees. So to find the rest you subtract 200 from 360.

360-200=160 degrees.

To find b we divide 160 by 2 and that equals 80. So b=80.

a+b=45+80=125.

The answer is B

Which set of numbers includes only integers?

a.)Negative 5, negative 3 and one-fourth, 1, one-eighth
b.)Negative 3, negative 2, 2, 3
c.)Negative 6, negative 4, negative 2, negative one-half
d.)One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0

Answers

Answer:

a

Step-by-step explanation:

in integer there will negative ,positive or rational number

find missing side of triangle. help

Answers

Answer:

+ 2² =(15)²

+ 4. =15

=15-4

=11

x. =11 mi

so the answer is 4th option

please help me !!!!!!!

Answers

Answer:

(32;29) first thing is to find the gradient of that line and form some extra equation ( bodzatu ili

Question 24 of 42
Which of the following conditions is not sufficient to show that the two
triangles are congruent?
AA
A
X Х
5-
A. AABC and Axyz have the same orientation.
B. The rise and run of the translation between each pair of
corresponding points are the same.
A

Answers

Answer:

I think A is correct

Step-by-step explanation:

I can't see D so I'm not sure, hope it's right

A restaurant owner is planning to have a courtyard area sodded. The sod comes in rolls that are 3 feet long by 1 foot wide. If the courtyard measures 60 feet by 50 feet, which of the following expressions represents the number of rolls of sod needed?

Answers

Answer:

[tex](60\times 50)\div 3[/tex]

Step-by-step explanation:

We are given that

Length of roll of sod, l=3 feet

Width of roll of sod, b=1 feet

Length of courtyard, L=60 feet

Breadth of courtyard, B=50 feet

Area of rectangle=[tex]Length\times breadth[/tex]

Using the formula

Area of roll of sod=[tex]3\times 1 feet^2[/tex]

Area of roll of sod=3 square feet

Area of courtyard=[tex]60\times 50[/tex] square feet

Number of rolls of sod needed=[tex]\frac{Area\;of\;courtyard}{area\;of\;roll\;of\;sod}[/tex]

Using the formula

Number of rolls of sod needed=[tex]\frac{60\times 50}{3}[/tex]

Number of rolls of sod needed=[tex](60\times 50)\div 3[/tex]

This is required expression which represents the number of rolls of sod needed.

The function g(x) is a transformation of the cube root parent function,

Answers

Answer:

I believe that the answer is B as well

Step-by-step explanation:

This might be for Ap3x but not 100% sure

which number produces a rational number when added to 0.25

Answers

0.65 is the correct one if not up there try 0.45 other possible one

Step-by-step explanation:

A rational number is defined as any number which can be expressed in fractional p/q of two integers, where 'p' is the numerator and 'q' is the denominator. 'q' can never be zero. A rational number can also be expressed as a terminating decimal. So, when 0.25 is added in 0.45 it becomes 0.65 which is rational.

WRITE THE FUNCTION FOR THE GIVEN TABLE PLS

Answers

Answer:

y=X²-4x+5

Step-by-step explanation:

substitute all the left side values to get the outputs..

y=(5)²-4(5)+5 =10

Answer:

A

Step-by-step explanation:

In fact, if we try to substitute, we have:

10 = 5^2 -4(5) +5

10 = 25 - 20 + 5

10 = 10 (ok)

17 = -2^2 - 4(-2) + 5

17 = 4 + 8 + 5

17 = 17 (ok)

and so on

The transformation from the function ƒ(x) = 3x to the function ƒ(x) = 3x + 4 indicates:

Answers

Answer:

Moving 4 to the right on the x axis

What is the slope of the line shown below?

Answers

a. negative one over six

Answer:

Hello there,

The correct answer to this question would be D 1/6

Step-by-step explanation:

I had took the test and it said it was correct.

Anyways hope this helps

if the answer is correct pls mark Brainliest

thank you, have a nice day

Pls help before the clock hits 50 :(


Use the following graph of the function f(x) = 3x4 − x3 + 3x2 + x − 3 to answer this question: What is the average rate of change from x = -1 to x = 0

Answers

Answer:

-6

Step-by-step explanation:

This pattern follows the rule add 14. What other features do you observe?

13, 27, 41, 55

All terms are even because even + even = even.
All terms are even because odd + odd = even.
All terms are odd because odd + even = odd.
All terms are even because when you add two numbers together, the sums are always even.

Answers

But you’re adding 13 +14= 27 so you’re adding even and odd and all the another’s are odd so it’s going to odd

pls help w this

√2x+1 = 4
In the equation above, what is the value of 2x +1?
A) 3/2
B) 2
C) 4
D) 16

Answers

D :) because you have to square both sides of the equation to get the 2x+1 by itself which would equal 16

Answer:

[tex]\boxed {\boxed {\sf D. \ 16}}[/tex]

Step-by-step explanation:

We are given the following equation and asked to solve for 2x+1.

[tex]\sqrt {2x+1}=4[/tex]

We want to isolate the entire expression of 2x+1. Notice that it is under the square root. If we want to isolate it, we have to perform the inverse operation. The inverse of a square root is a square, so we square both sides of the equation.

[tex](\sqrt{2x+1} )^2= (4)^2[/tex]

[tex]2x+1=(4)^2[/tex]

[tex]2x+1=16[/tex]

We could continue solving for x, then plug the answer back into the expression 2x+1. However, hopefully you notice that we already found the answer!

We only had to do one step to find the answer, but you could complete many other steps to get the same answer:

[tex]2x+1-1=16-1\\2x=15\\2x/2=15/2\\x= 7.5[/tex]      (Solve for x)

[tex]2x+1\\2(7.5)+1\\15+1\\16[/tex]                   (Plug the answer in for x)

The value of 2x+1 is 16 and the correct answer is 16.

PLEASE HELP! Use the graph to solve the system of equations.

A. (-5,0)

B. (0,5)

C. (0,0)

D. (2,3)

Answers

Answer:

D

Step-by-step explanation:

Look for the intersection point of the two graphs

Another way:

You can just substitute each pair in both equations and u will find that d is the correct answer

plz help me with this math and also explain

Answers

Step-by-step explanation:

[1]

SI = $250Rate (R) = 12[tex] \sf \dfrac{1}{2}[/tex] %Time (t) = 4 years

[tex]\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 \times 100 = P \times 50} \\ [/tex]

[tex]\longrightarrow \tt { 25000 = P \times 50} \\ [/tex]

[tex]\longrightarrow \tt { \dfrac{25000}{50} = P } \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\ [/tex]

Therefore principal is $500.

__________________

[2]

2/7 of the balls are red.3/5 of the balls are blue.Rest are yellow.Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

[tex]\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\ [/tex]

[tex]\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\ [/tex]

[tex]\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\ [/tex]

[tex]\longrightarrow \tt{ 31x + 1260= 35x} \\ [/tex]

[tex]\longrightarrow \tt{ 1260= 35x-31x} \\ [/tex]

[tex]\longrightarrow \tt{ 1260= 4x} \\ [/tex]

[tex]\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\ [/tex]

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

[tex]\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\ [/tex]

[tex]\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\ [/tex]

[tex]\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\ [/tex]

a man invested 800.00in a bank at a simple interest rate of 5% per annum .Find his total amou year​

Answers

Answer:

£840

Step-by-step explanation:

800 × 1.05 = 840

(1.05 Is the decimal multiplier = (100% + 5%)/100)

What is one way the Federal Reserve can reduce the amount of money available in the economy?
A. Raising the discount rate
B. Selling treasury securities
C. Buying treasury securities
D. Lowering the interest on reserves​

Answers

Answer:

B. Selling treasury securities

Step-by-step explanation:

I'm taking the quiz

The Federal Reserve can reduce the amount of money available in the economy is buying treasury securities.

What is a federal reserve?The Federal Reserve can decrease the money supply by increasing the discount rate. a. Raising the discount rate provides depository institutions a minor incentive to borrow, thereby decreasing their reserves and lending activity. The U.S. government created the Federal Reserve, the nation's central bank, to control the money supply and contain economic calamities.One of the primary objectives of the Federal Reserve exists to function as the lender of last resort, permitting banks to borrow from the central bank when needed.The Fed operates three immediate tools in handling the money supply and observing stable economic growth. The tools exist (1) reserve needs, (2) the discount rate, and (3) open market operations.Each of these controls the money supply in different forms and can be utilized to obtain or develop the economy.The Federal Reserve can decrease the amount of money general in the economy stands buying treasury securities.

Therefore, the correct answer exists as option B. Selling treasury securities.

To learn more about Federal Reserve refer to:

https://brainly.com/question/382312

#SPJ2

A client has two refrigerators, one in the kitchen and one in the basement.The former is new and efficient. The latter is 30 years old and uses 120Kwh/month. If this client pays 0.15/kwh

Answers

Incomplete question: we assume figures to explain further

Answer and explanation:

Given that client pays $0.15/kwh

If old fridge is inefficient and consumes 120kwh/month

And new fridge is efficient and therefore consumes 50kwh/month

For the old fridge, client will be paying

120×0.15= $18 per month on electricity charges

For the new fridge, client will be paying

50×0.15= $7.5 per month on electricity charges

Let f be defined as shown. What is f^-1(-3)

Answers

Hello,

[tex]f^{-1}(-3)=-1\\[/tex]

You have just to read the arrows un reversed order:

in f we find (-1,-3)  so in f^{-1} we find (-1,-3)^{-1}=(-3,-1)

3/x + 4/5 = 11/10
For what value of x is the equation above true?
A) 3
B) 5
C) 7
D) 10

Answers

Answer:

The answer is

[tex] \frac{3}{x} = \frac{11}{10} - \frac{4}{5} \\ \frac{3}{x} = \frac{55 - 40}{50} \\ \frac{3}{x} = \frac{15}{50} \\ \frac{3}{x} = \frac{3}{10} \\ x = 10[/tex]

the answer to the question above is D)10

Which point on the number line represents a drop in temperature of 3 degrees from 0 degrees?

Answers

Answer:

Point A

Step-by-step explanation:

The question is asking for a drop in 3 degrees. That means whatever point we start on, we subtract 3 from it. We start on 0, so 0-3=-3. That is point A.

Answer:

A

Step-by-step explanation:

Triangle PQR has been dilated to form triangle P'Q'R'. What is the least amount of information needed to determine if the two triangles are similar

Answers

Answer:

angles Q and Q' are congruent, angles R and R' are congruent

Step-by-step explanation:

For two triangles to be congruent, we need to show is two of the  

1. corresponding angles are congruent,

or,

2. all three pairs of corresponding sides are proportional,  

or,

3. two pairs of corresponding sides are proportional AND the included angles are congruent.  

And, angles are always congruent when a figure is dilated

Therefore, angles Q and Q' are congruent, angles R and R' are congruent

(satisfies the first criterion that at least two corresponding angles are congruent)

What is the 10th term of the geometric sequence a(n)=-3(2)^(x-1_())

Answers

[tex]\displaystyle\ a(n)=-3(2)^ {n-1}\Longrightarrow a(10)=-3(2)^{10-1}=2^9\cdot -3=\boxed{-1536}[/tex]

Find the measure of the indicated angle to the nearest degree.
1)

A) 19°
C) 36°
B) 43°
D) 47°

Answers

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan? = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{18}{17}[/tex] , then

? = [tex]tan^{-1}[/tex] ([tex]\frac{18}{17}[/tex] ) ≈ 47° ( to the nearest degree )

Ronald brought a jacket on Friday that had original price if $45. It was on sale at 10% off its original price. Which formula shows what Ronald paid after 7% sales tax was added?

A. 1.07(45-10)
B. 1.03(45)
C. 1.07(45-45(.1))
D. 1.1(45-45(.7))

Answers

the answer is D 1.1(45-45(.7))
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