Answer: gymnastics 35
music 21
swimming 36
Step-by-step explanation:
gymnastics 35=20+9+6
music 21=8+7+6
swimming 36=20+9+7
Answer:
{x,y} = {89/37,-71/37}
Step-by-step explanation:
8x = 3y + 25
[2] x = 3y/8 + 25/8
Plug this in for variable x in equation [1]
[1] 6•(3y/8+25/8) + 7y = 1
[1] 37y/4 = -71/4
[1] 37y = -71
Solve equation [1] for the variable y
[1] 37y = - 71
[1] y = - 71/37
By now we know this much :
x = 3y/8+25/8
y = -71/37
Use the y value to solve for x
x = (3/8)(-71/37)+25/8 = 89/37
Answer:
Eight thousand fourteen hundred twelve and seven
Answer:
The answer is 16 I've seen this before so I would know. and your welcome
Step-by-step explanation:
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.
