Answer:
Area decreases by 16%
Step-by-step explanation:
Use formula for the area of the triangle
<u>Initial triangle:</u>
The base is 18 cm
The height is 5 cm
The area is
<u>New triangle:</u>
The base is 
The height is 
The area is
Area decreases by
The value of g^-1(-3) is the value of x that makes g(x) = -3. To find it, we can solve
.. (x +4)/(2x -5) = -3
.. x +4 = -3(2x -5)
.. 7x = 11
.. x = 11/7
The desired value is
.. (3/11)*g^-1(-3)
.. = (3/11)*(11/7)
.. = 3/7
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
Step-by-step explanation:
The answer would be y=-x-3. 3x+3y=-9 is in standard form and you want it to be in y=mx=b form (slope-int) so subtract 3x by both sides. Now, you have 3y=-3x-9. Divide 3 to both sides, now you will get y=-x-3.
The asnwer is 2/8 (simplified it would be 1/4)
