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.
Answer: The coordinate are
( 5 , 2.5 )
Distance = 5
Step-by-step explanation:
The coordinates of the rest stop will be the mid point between the high school is at point (3, 4) and the stadium in Columbus at point (7, 1).
Mid point = (X1 +X2)/2 , (Y1+Y2)/2
(3+7)/2 , (4+1)/2 = ( 5 , 2.5 )
The approximate distance between the high school and the stadium will be
D^2 = (7-3)^2 +( 4-1)^2
Where D = distance
D^2 = 4^2 + 3^2
D = 5
Answer:
72.00$
Step-by-step explanation:
25% = .25
.25 × 96.00 = 24
96 - 24 = 72
Answer:
x = 10
Step-by-step explanation:
(3x)/2 = 15 is your question.
Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponent (& roots), Multiplication, Division, Addition, Subtraction).
First, multiply 2 to both sides
((3x)/2) = (15)(2)
3x = (15)(2)
3x = 30
Next, to isolate the variable (x), divide 3 from both sides
(3x)/3 = (30)/3
x = 30/3
x = 10
x = 10 is your answer
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You have to times all the numbers together to get the surface area.
So that means you have to do 16*12*5.
