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Alenkinab [10]
3 years ago
11

Find the missing angle measures

Mathematics
1 answer:
padilas [110]3 years ago
4 0

Answer:

72°

44°

Step-by-step explanation:

a circle=116° those are the measures

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Lady_Fox [76]
It's rounded to 6.3
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3 years ago
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The perimeter of a rectangular park is 500 feet. The length of the park is 100 feet longer than the width. Find the length of th
lord [1]

Answer:

The length of the park is 175 feet

Step-by-step explanation:

Let us solve the question

∵ The perimeter of a rectangular park is 500 feet

∵ The formula of the perimeter of the rectangle is P = 2(L + W)

∵ L is the length and W is the width

→ Equate the rule of the perimeter by 500

∴ 2(L + W) = 500

→ Divide both sides by 2

∴ L + W = 250 ⇒ (1)

∵ The length of the park is 100 feet longer than the width

→ That means L is W plus 100

∴ L = W + 100 ⇒ (2)

→ Substitute L in (1) by (2)

∵ W + 100 + W = 250

→ Add the like terms

∵ (W + W) + 100 = 250

∴ 2W + 100 = 250

→ Subtract 100 from both sides

∵ 2W + 100 - 100 = 250 - 100

∴ 2W = 150

→ Divide both sides by 2

∴ W = 75

→ Substitute the value of W in (2) to find L

∵ L = 75 + 100 = 175

∴ The length of the park is 175 feet

6 0
3 years ago
A 50 foot ladder is set against the side of a house so that it reaches up 30 feet. If
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Answer:

21.8

Step-by-step explanation:

7 0
3 years ago
If the federal reserve sells 70,000 in treasury bonds to a bank at 9%
Anton [14]

Answer:

it is decreased by $70,000

Step-by-step explanation:

Federal reserve sells $70,000 in treasury bonds to a bank at 9%

6 0
3 years ago
Madeline invested $51,000 in an account paying interest rate of 6 1/8% compounded daily. Harper invested 51000 in an account pay
LenaWriter [7]

Answer:

$5564.87

Step-by-step explanation:

We are to determine the difference between the future values of each investment

The formula for calculating future value:

FV = P (1 + r)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

Madeline

P = Present value = 51,000

R = interest rate = 0.06125 / 365 = 0.000168

N = number of years = 13

m = number of compounding = 365

51,000 x (1.000168)^4745  = 113,070.20

Harper

51,000 x (1.004792)^156 = 107,505.33

Difference = 113,070.20 - 107,505.33 = $5,564.87

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3 years ago
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