Altitude forms a 30-60-90 (or 1-sqrt(3)-2) triangle. The hypotenuse is the equilateral triangle's side length, 12 centimeters. The altitude is the sqrt(3) side. 12 / sqrt(3) = 6sqrt(3). Therefore the altitude of the triangle is 6 * sqrt(3) centimeters.
Answer:
2 5/8 cups of flour
Step-by-step explanation:
Use a proportion.
1 3/4 cups of flour is to 2/3 of a batch as x cups of flour is to 1 batch.
1 3/4 : 2/3 = x : 1
2/3 x = 1 3/4 * 1
2/3 x = 1 3/4
2/3 x = 7/4
3/2 * 2/3 x = 3/2 * 7/4
x = 21/8
x = 2 5/8
Answer: 2 5/8 cups of flour
Answer:
Step-by-step explanation:
x + y = 4 ---------------(i)
x = 4-y
7x + 9y = 42 -----------(ii)
Plug in x = 4-y in equ (ii)
7*(4 - y) + 9y = 42
28 - 7y +9y = 42
28 + 2y = 42
2y = 42 - 28
2y = 14
y = 14/2
y = 7
x = 4 - y
x = 4 - 7
x = -3
Answer:
D
Step-by-step explanation:
