6 x 4=24 so the area of the donut 24 which is the answer to the question
The question is not well presented and the question also requires an attachment which is missing. See complete question below
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a. 12/24 = 18/16 = ½
b. 12/18 = 16/24 = ⅔
c. 12/16 = 18/24 = ¾
d. 18/12 = 24/16 = 3/2
Answer:
c. 12/16 = 18/24 = ¾
Step-by-step explanation:
Given
Two similar triangles
Required
Ratio of corresponding sides
To solve questions like this, you have to make comparisons between the similar sides of the triangle.
From the attached file,
Side PQ is similar to Side AB
And
Side QR is similar to Side BC
Also from the attached file
PQ = 12 and QR = 18
AB = 16 and BC = 24
Now, the ratio can be calculated.
Ratio = PQ/AB or QR/BC
Ratio = PQ/AB
Ratio = 12/16
Divide numerator and denominator by 4
Ratio = ¾
Or
Ratio = QR/BC
Ratio = 18/24
Divide numerator and denominator by 6
Ratio = ¾.
Combining these results
Ratio = 12/16 = 18/24 = ¾
Hence, option C is correct
Answer:
1.06666666667. this could be wrong as I got this of Google. or 1.06 . btw idk how to explain it
Answer:
13) Angle A is 30°
14) Angle A is 45°
15) Angle A is 40°
16) Angle A is 40.5°
Step-by-step explanation:
By the angle sum theorem for the interior angles of a triangle, we have;
13) 130° + 2·x + 3·x = 180°
∴ 2·x + 3·x = 180° - 130° = 50°
2·x + 3·x = 5·x = 50°
x = 50°/5 = 10°
∠A = 3·x = 3 × 10° = 30°
∠A = 30°
14) 3·x + 9 + 4·x + 9 + 78° = 180°
7·x + 18 + 78° = 180°
7·x = 180° - (18 + 78)° = 180° - 96° = 84°
x = 84°/7 = 12°
∠A = 3·x + 9 = 3 × 12° + 9 = 45°
∠A = 45°
15) 90° + x + 51 + x + 61 = 180°
∴ x + 51 + x + 61 = 180° - 90° = 90°
2·x + 112 = 90°
2·x = (90 - 112)° = -22°
x = -22°/2 = -11°
x = -11°
∠A = x + 51 = -11° + 51 = 40°
∠A = 40°
16) x + 79 + x + 49 + 70° = 180°
x + x = (180 - 70 - 79 - 48)° = -17°
2·x = -17°
x = -17°/2 = -8.5°
x = -8.5°
∠A = x + 49 = (-8.5 + 49)° = 40.5°
∠A = 40.5°.
Answer:
5 m
Step-by-step explanation:
The volume (V) of a square based pyramid is
V = Ah ( A is the area of base and h the height ), thus
A × 12 = 100, that is
4A = 100 ( divide both sides by 4 )
A = 25
Hence s² = 25 ← s is the side of square base
Take the square root of both sides
s = = 5