Answer:
769.50
Step-by-step explanation:
95 ÷ 20 = 4.75
So, 4.75 is the cost per student
4.75 × 162 = 769.50
So, 4.75 dollars per student times 162 students is 769.50
Answer:
4x=80 and 5x=100
Step-by-step explanation:
4x+5x=180
9x=180
1/9 (9x)=1/9 (180)
x=20
4(20)=80
5(20)=100
Blue point➡️ Lowell➡️ Lexington
Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.
Step-by-step explanation:
I suppose that the "legs" of a triangle rectangle are the cathati.
if L is the length of the shorter leg, 2*L is the length of the longest leg.
Now you can remember the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
Then there is one acute angle calculated as:
Tan(θ) = (shorter leg)/(longer leg)
Tan(φ) = (longer leg)/(shorter leg)
And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.
Then we need to find θ and φ.
Tan(θ) = L/(2*L)
Tan(θ) = 1/2
θ = Atan(1/2) = 26.57°
Tan(φ) = (2*L)/L
Tan(φ) = 2
φ = Atan(2) = 63.43°
Then the ratio between the larger acute angle and the smaller acute angle is:
R = (63.43°)/(26.57°) = 2.39
This means that the larger acute angle is 2.39 times the smaller acute angle.
