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4 years ago

Two complementary angles in the ratio 5:7. What is the measure of the smaller angle?

1 answer:

5 0

So,

Complementary angles are angles which add together to make 90°.

To find the value of one unit in the ratio 5:7, take these steps:
Add the number of units.
5 + 7 = 12

Divide 90° by 12.
90/12 = 7.5°

The smaller angle is "worth" 5 units.
7.5 * 5 = 37.5°

You might be interested in

21/99 simplified in fraction

viktelen [127]

To simplify 21/99, divide both sides by 3, to get 7/33.

8 0

4 years ago

Stem question, can you plz tell me 3 types of natural water vapor other that steam, fog, and clouds, thanks.

alisha [4.7K]

Answer:

Smoke, Condensation, mist

Step-by-step explanation:

5 0

3 years ago

Help me please. I'm so confused on this.

igor_vitrenko [27]

Answer:

3(5n-6)

Step-by-step explanation:

You want to find the common multiple between the two numbers.

Find a number that is divisible by both numbers, and to find that, you need to factor them out using multiples that are suitable for each number

15:

5 x <u>3</u>(only multiple pair that has whole numbers)

18:

9 x 2(no)

6 x <u>3(yes)</u>

After you have found your answer insert it into the equation.

3(5n-6)

To check if you're right, multiply 3 into the brackets and you will get your answer.

3 x 5n - 3 x 6

15n-18

SOLVED

7 0

4 years ago

If the roots of x²-7x+k=0 are m and m-1, find the value of the constant k

creativ13 [48]

Answer: k=12

Step-by-step explanation:

x2 - 7x + k = 0

using quadratic formula method,

x = [-b ± √(b2 - 4ac)]/2a

a = 1

b = -7

c = k

x = [-(-7) ± √((-7)2 - 4(1)(k))]/2(1)

x = [7 ± √(49 - 4k)]/2

x = [7 + √(49 - 4k)] / 2 and [7 - √(49 - 4k)] / 2

since the roots are m and m-1,

m = [7 + √(49 - 4k)] / 2 ------------ eqn(1), and

m - 1 = [7 - √(49 - 4k)] / 2 ----------- eqn(2)

add 1 to both sides of eqn(2)

m = [7 - √(49 - 4k)]/2 + 1 --------------- eqn(3)

eqn(1) = eqn(3)

[7 + √(49 - 4k)]/2 = [7 - √(49 - 4k)]/2 + 1

7/2 + (√(49 - 4k))/2 = 7/2 - (√(49 - 4k))/2 + 1

collect like terms,

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 7/2 - 7/2 + 1

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 0 + 1

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 1

multiply through by 2

√(49 - 4k) + √(49 - 4k) = 2

2√(49 - 4k) = 2

divide both side by 2

√(49 - 4k) = 1

square both sides

49 - 4k = 1

collect like terms,

4k = 49 - 1

4k = 48

divide both sides by 4

k = 48/4

k = 12

6 0

3 years ago

300 x 10 explain step by step like that I did this now please

postnew [5]

3000

Step-by-step explanation:

when you multiply by a ten (10, 100, 1000, etc.), just add a zero for each zero. it's the same when you divide: for every zero in the ten, you remove a zero.

7 0

3 years ago