Tenth have to make answer longer for this app sorry
4x-10 and 7x-8 are supplementary angles and thus add up to 180 degrees.
Thus, 11x - 18 = 180 degrees.
Combining like terms, 11x = 198, and x = 18.
The two supplementary angles are 4(18)-10 and 7(18)-8, or 62 and 118 degrees.
Answer:
t2 = 2.8 hours
Step-by-step explanation:
The distance is the same for each velocity.
Formula
d1 = d2
d = r*t
Givens
r1 = 140 miles / hour
t1 = 3.2 hours
r2 = 160 miles / hour
t2 = ?
Equation
r1*t1 = r2 * t2
Solution
140 * 3.2 = 160 * t2
448 = 160* t2
448 / 160 = t2
t2 = 2.8 hours
Answer:
V≈376.99in³
Step-by-step explanation:
r Radius 6
h Height 10
Answer:
Boys(B) + Girls(G) = 85 ----(1)
Mangoes = 380
Each boy gets 4mangoes
Each girl gets 5mangoes
4B + 5G = 380 -------(2)
from (1) B = 85 - G
Substitute B in (2)
4(85 - G) + 5G = 380
360 - 4G + 5G = 380
G = 380 - 360 = 20
from (1) B = 85 - 20 = 65
Therefore number of boys = 65 and girls = 20
Ratio of boys and girls = 65 : 20 = 13 : 4
