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Papessa [141]
3 years ago
8

The ratio of two complementary angles is 17:13. What is the measure of the smaller angle?

Mathematics
1 answer:
Mariana [72]3 years ago
8 0
We know by definition that complementary angles add up to 90 degrees. We can set up an equation using the ration given:

17x+13x=90, with x representing the amount you need to multiply the ratio by to get 90.

17x+13x=90
30x=90
x=3

We now know that the number we multiply the ratio by is 3. The smaller number in the ratio is 13, and so therefore we multiply it by 3.

3*13=39

The answer is 39 degrees.
You might be interested in
Which simplified fraction is equal to 0.53? 1) 24/45 2) 8/15 3) 48/90 4) 5/9
Shalnov [3]

To express a decimal number (with a finite decimal expression) in a fraction, you work like this: the numerator is the number without decimale separator (you simply pretend it's not there), while the denominator will be 10^n, where n is the number of digits after the decimal separator.

So, in your case, the number without decimal separator is 53, and you have two digits after the decimal separator, so the fraction will be

0.53 = \cfrac{53}{10^2} = \cfrac{53}{100}

which is irreducible.

6 0
3 years ago
Read 2 more answers
6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?
Whitepunk [10]

Answer:

6. C. 16.64 km

7. B. P 216.00

8. B. P 565 425

9. C. 0.27

10. D. 24.6875

11. B. 3 kg

12. B. ratio

13. A. Proportion

14. D. 6:10

15. B. 2:3

Step-by-step explanation:

6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?

Speed = 5.12km/hr

Time = 3.25 hr

To find the distance;

Distance = speed * time

Distance = 5.12 * 3.25

Distance = 16.64 km

7. Mrs. Allysa purchased 48 pencils at P 4.50 each. How much did she pay for all the pencils?

Quantity = 48 pencils

Cost price = P 4.50

To find the total selling price;

Total = quantity * cost price

Total = 48 * 4.50

Total = P 216

8. The Villaroel family bought a 125.65 square meter lot at P 4500.00 per square meter. How much did they

pay?

Quantity = 125.65 m²

Cost price = P 4500

Total price = 125.65 * 4500

Total price = P 565425

9. What is 2.7/10 = 0.27

10. What is 98.75/4 = 24.6875

11. A store owner has 63 kilograms of candy. If she puts the candy into 21 jars, how much candy will each jar

contain?

Mass = 63 kg

Amount = 21 jars

Each jar = 63/21 = 3 kg

12. Ratio: It is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

13. Proportion: It is a statement that two ratios are equal.

14. What ratio is equal to 3:5?

We would multiply both ratio by 2

3:5 * 2 = 6:10

15. What ratio is proportional to 4:6?

We would divide both ratio by 2

4:6 / 2 = 2:3

7 0
3 years ago
Can you please find the zeros for<br> F(x)=2x^4+17x^2+8?
harina [27]
2x⁴+17x²+8

Let X = x²     →→(x = + or -√X )

The quadratic becomes : 2.X² + 17.X + 8. Now solve for X:

X' = [-b+√(b²-4ac)]/2a             and      X" = [-b-√(b²-4ac)]/2a   
Plug I the values of a, b and c and you will find;

X' = -1/2   and X" = - 8
Since X = √x → →X' = √( -1/2) [imaginary roots]
and X" = √-8 →→ X" = 2√-2  [imaginary roots]
Then:

1st ROOT: X' = - √1/2.i  
2nd ROOT: X" = + √1/2.i
3rd ROOT: X" = + 2√2.i
4th ROOT: X" = - 2√2.i


4 0
3 years ago
How do you factor -x^4-5x^2+6
Gekata [30.6K]
(-x-1)(x-1)(x^2+6) 
distribute from there i think? 
math papa website can help with this... im not that good at math

7 0
3 years ago
20 PTS <br> What number can you add to √3 to get a rational number?
Stolb23 [73]

Hello from MrBillDoesMath!

Answer:

         - sqrt(3) is one possibility


Discussion:

sqrt(3) - sqrt(3)  = 0 which is  a rational number!

Thank you,

MrB

8 0
3 years ago
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