write the ratio as a fraction in simplest form. with whole numbers in the numerato and denominator. 40g : 64g
1 answer:
Answer:
OR 5g : 8g
Step-by-step explanation:
Also a ratio can also be represented by a fraction;
So to make the ratio to the simplest form we have to divide by a number that can divide both number.
40g : 64g
We can start dividing by 2 which will give us;
20g : 32g
Now we can divide by 2 again since it can divide both numbers which will give us;
10g : 16g
We can still divide by 2 since it can divide both numbers which will give us;
5g : 8g
Since no numbers can divide 5 and 8 equally that is our answer.
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Answer:
AB = 75
BC = 60
AC = 45
m∠A = 53°
m∠B = 37°
m∠C = 90°
Step-by-step explanation:
<u>Trigonometric ratios</u>
where:
is the angle
- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
Therefore:
- side opposite angle A = BC = 60
- side adjacent angle A = AC = 45
To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AC² + BC² = AB²
⇒ 45² + 60² = AB²
⇒ AB² = 5625
⇒ AB = √5625
⇒ AB = 75
To find m∠A:
m∠C = 90° (as it is a right angle)
The interior angles of a triangle sum to 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 53° + m∠B + 90° = 180°
⇒ m∠B = 180° - 53° - 90°
⇒ m∠B = 37°