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tino4ka555 [31]
3 years ago
14

Find the supplementary angle. 4. 80° 5. 65° 6. 34°

Mathematics
1 answer:
erastova [34]3 years ago
5 0

Answer:

In a supplementary angle the angle is 360°

in a complementary angle the angle is 180°

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The equation Ax+By=10 goes through the coordinates (6,5) and (-2,-5).What are the values of A and B
wolverine [178]

Given:

The equation Ax+By=10 goes through the coordinates (6,5) and (-2,-5).

To find:

The values of A and B.

Solution:

We have,

Ax+By=10

It goes through the coordinates (6,5) and (-2,-5). It means these points will satisfy the equation.

A(6)+B(5)=10

6A+5B=10       ...(i)

A(-2)+B(-5)=10

-2A-5B=10       ...(ii)

Adding (i) and (ii), we get

(6A+5B)+(-2A-5B)=10+10

4A=20

Divide both sides by 4.

A=5

Put A=5 in (i), we get

6(5)+5B=10

30+5B=10

5B=10-30

5B=-20

Divide both sides by 5.

B=-4

Therefore, the values of A and B are 5 and -4 respectively.

3 0
3 years ago
For his birthday, Tyrone's parents gave him $7,790.00 which they put into a savings account that earns 15% interest compounded m
torisob [31]

Answer:

5 years and 5 months

Step-by-step explanation:

<u />

<u>Compound Interest Formula</u>

\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • A = $17,474.00
  • P = $7,790.00
  • r = 15% = 0.15
  • n = 12
  • t = number of years

Substitute the given values into the formula and solve for t:

\implies \sf 17474=7790\left(1+\dfrac{0.15}{12}\right)^{12t}

\implies \sf \dfrac{17474}{7790}=\left(1.0125}\right)^{12t}

\implies \sf \ln\left(\dfrac{17474}{7790}\right)=\ln \left(1.0125}\right)^{12t}

\implies \sf \ln\left(\dfrac{17474}{7790}\right)=12t \ln \left(1.0125}\right)

\implies \sf t=\dfrac{\ln\left(\frac{17474}{7790}\right)}{12 \ln \left(1.0125}\right)}

\implies \sf t=5.419413037...\:years

Therefore, the money was in the account for 5 years and 5 months (to the nearest month).

3 0
2 years ago
Read 2 more answers
Im to lazy please help.. ;-;
Mumz [18]

Step-by-step explanation:

18h=252

9h=?(x)

9×252=18x

2268=18x

2268/18=x

x=126

5 0
3 years ago
Converting fractions to decimals worksheet 7th grade
oksano4ka [1.4K]
No one can help you if you dont show us the work my dude. But the was to convert them is say you have 1/4 that is 25% of a whole. Sorry i couldnt help more repost the question with a link and people can help then.
8 0
3 years ago
On a map, the distance between two towns is 2. 5 inches, and 1 inch represents 6 miles. What is the actual distance between the
Aleks04 [339]

Answer:

15 miles

Step-by-step explanation:

1/2 inch = 3 miles

1 inch = 6 miles

2 inches = 12 miles

2.5 inches = 15 miles

8 0
2 years ago
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