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ratelena [41]
2 years ago
9

Solve for x. hint:half circle.

Mathematics
1 answer:
Romashka [77]2 years ago
4 0

Answer:

x = 10

Step-by-step explanation:

Given

The attached circle

Required

Find the measure of x

From the attached image:

11x + 2 and -2 + 7x form a semi-circle

So:

11x + 2 -2 + 7x = 180

Collect like terms

11x  + 7x = 180+ 2 -2

18x = 180

Solve for x

x = \frac{180}{18}

x = 10

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t_n=a +(n-1)d \\  \therefore \: t_{52}=3 +(52-1) \times 6 \\ \therefore \: t_{52}=3 +51\times 6 \\  \therefore \: t_{52}=3 +306 \\   \huge \red{ \boxed{\therefore \: t_{52}=309 }}\\

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2 years ago
Ted borrowed $5,600 from his bank for 4 months with interest at 9%. ted paid the note in full on its due date. how much was the
nika2105 [10]

Ten gave the check of $5768 to the bank for payment.

<h3>What is simple interest?</h3>

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, so a borrower will never have to pay interest on the interest already accumulated because a creditor will only pay interest on the principal amount.

Formula for simple interest is;-

Simple interest = (principal amount×rate of interest×time duration in years)/100

S.I = (P×R×T)/100

Calculation of the total amount paid by Ted to the bank-

The principal amount is  $5,600.

The rate of interest is 9%.

Time duration is 4 months equals 4/12 = 1/3 years.

S.I = (5,600×9×1)/(3×100)

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The simple interest on amount is $168.

Thus, the total amount is S.I + principal amount

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Therefore, the total amount paid by the Ted to the bank is $5768.

To know more about the simple interest, here

brainly.com/question/25845758

#SPJ4

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1 year ago
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