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3 years ago

The perimeter of a square garden is (20k+36) feet. Write an expression

Mathematics

1 answer:

sertanlavr [38]3 years ago

5 0

Answer:

5k+9

Step-by-step explanation:

Since it's a square, all four sides are equal so divide the equation of the total by 4.

20k/4=5k

36/4=9

The length of one side of the garden can be represented by the expression:

5k+9

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The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?

Anestetic [448]

Answer:

7 of the angles measure 144 degrees each and one angle measures 72 degrees

Step-by-step explanation:

Let

x -----> represent the measures of the seven same-size angles,

x/2 ----> represent the measure of the one that is "two times smaller."

we know that

The sum of internal angles of a polygon can be calculated as:

$S=180^o(n-2)$

where

n is the number of sides of the polygon

In this case

n=8 (octagon)

substitute

$S=180^o(8-2)=1,080^o$

The linear equation that represent this problem is

$\frac{x}{2}+7x=1,080$

solve for x

$\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o$

$\frac{x}{2}=72^o$

therefore

7 of the angles measure 144 degrees each and one angle measures 72 degrees

7 0

3 years ago

The ratio of two numbers is 2/3. The sum of the numbers is 105. What are the two numbers?

Pepsi [2]

A) x/y = 2/3
B) x + y = 105
Solving Equation A for y
A) y = 1.5x
Substituting A into B
B) x + 1.5x = 105
2.5x = 105
x = 42
y = 63

8 0

3 years ago

Judy is a single woman, 25 years old. Her take home pay is $2314.92/month. She also earns $48 interest per month on her savings

Leni [432]

The monthly budget plan for Judy includes all of her income and expenses, the total balance is $ 2362.92 and she spends $ 1083.

<h3>What is the monthly budget?</h3>

A monthly budget is a personal spending plan that you use to track your monthly income and costs.

The given data in the problem is;

Home pay = $2314.92/month.

Interest earned = $48 / month

House rent = $825/month

EMI of student loan = $258/month

Total earning per month = $2314.92 + $48

Total earning per month = $ 2362.92

Amount she spends per month = $825/month + $258

Amount she spends per month = $ 1083

Hence, the total balance will be $ 2362.92 and she spend $ 1083.

To learn more about the monthly budget refer to:

brainly.com/question/570904

#SPJ1

3 0

2 years ago

−13 − (−27) <br> pls help-

sergij07 [2.7K]

Answer:14

Step-by-step explanation: minus *minus = + so its +27

and then you just do the maths 27-13=14

3 0

3 years ago

A number subtracted from 90 is three times that number

sergeinik [125]

90-n=3n
90=4n
22.5=n

Final answer 22.5

3 0

3 years ago

Read 2 more answers