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olasank [31]
3 years ago
5

Two complimentary angles are in the ratio 4:5 . find the angle

Mathematics
2 answers:
poizon [28]3 years ago
4 0

Answer:

40° and 50°

Step-by-step explanation:

Sum the parts of the ratio, 4 + 5 = 9 parts

Complementary angle sum to 90°

Divide 90° by 9 to find the value of one part of the ratio

90 ÷ 9 = 10° ← value of 1 part, thus

4 parts = 4 × 10° = 40°

5 parts = 5 × 10° = 50°

The angles are 40° and 50°

GREYUIT [131]3 years ago
3 0
40 degrees and 50 degrees because it will change by the ratio
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I have to solve for x
erastova [34]

The 3 angles of a triangle equal 180.

Subtract the bottom 2 angles from 180 and you get 50

So 8x + 2 = 50

Subtract 2 from both sides:

8x = 48

Divide both sides by 8

X = 6

3 0
2 years ago
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Paul wants to deposit $600 today for a vacation he plans to take after graduation. Which formula should he use to determine the
Vitek1552 [10]

Answer:

Future value of a single amount

Step-by-step explanation:

Future value of a single amount - it is referred to as the amount of money that received after n year when money is deposit at the rate interest of i from the initial time. we can say that the total amount is the sum of principal money and interest value.

The formula used to calculate the Future Value of a single amount

Future value = Present value *[Future value factor]

6 0
3 years ago
Which digit is the hundred place in the number of 742.891
zavuch27 [327]

Answer:

7

Step-by-step explanation:

if you meant hundredths it would be 9, but 7 is in the hundreds place

3 0
3 years ago
1. A mortgage of $200,000 requires payments of $1395.40 per month at 5.7%
sashaice [31]

Answer:

a) How long will it take to repay the loan?

20 years

b) What amount of interest does the purchase pay?

$134,896

Step-by-step explanation:

a) How long will it take to repay the loan?

In the above question, they are asking you for the Loan duration

The Formula for Loan duration(T) =

ln (- m/(r÷n) × C - m)/In (1 + r/n)

Where:

m = monthly payments = $1395.40

C = Amount of mortgage =$200,000

r = Interest rate = 5.7% = 0.57

n = compounded quarterly = 4

T = ln (- 1395.40/(0.57÷4) × 200,000 - 1395.40)/In (1 + 0.57/4)

T = 20 years.

Therefore, it will take 20 years to repay the Loan.

b) What amount of interest does the purchase pay?

The total number of payments =

Loan duration × Number of months

Number of months = 12 months( because it is monthly payment)

Loan duration = 20 years

Total number of payments = 240 payments.

In the question, we are given the amount paid monthly payment as

$1,395.40

Total amount paid = Monthly payments × Total number of payments

= $1,395.40 × 240

= $334,896

The amount of Interest the purchase pay = $334,896 - $200,000

= $134,896

7 0
3 years ago
The last number is 110
Vsevolod [243]

Answer:

70°

Step-by-step explanation:

90 + 20 + x = 180

110 + x = 180

x = 180 - 110

x = 70°

6 0
3 years ago
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