Answer:
84 degrees.
Step-by-step explanation:
First, let's define what a complementary angle is. It's when two angles add up to 90 degrees. So we do 90-6=84 and 84+6 does in fact equal 90, so they are complementary.
Answer:
2.meters
Step-by-step explanation:
Lenght of ladder = 4 m
θ = 30°
To obtain h;
Using Pythagoras rule :
Sinθ = opposite / hypotenus
Hypotenus = 4 ; opposite = h
Sin 30 = h / 4
0.5 = h / 4
h = 0.5 * 4
h = 2 m
Hence, distance between th efoot of ladder and the base of the wall is 2 m
Answer:
x = 3.25
y =4.75
Step-by-step explanation:
In order to Solve the following system of equations below algebraically using substitution method we say that;
let;
8x - 4y = 7
..................... equation 1
x + y = 8.......................... equation 2
from equation2
x + y = 8.......................... equation 2
x = 8 - y.............................. equation 3
substitute for x in equation 1
8x - 4y = 7
..................... equation 1
8(8-y) - 4y = 7
64-8y-4y=7
64-12y=7
collect the like terms
64-7 = 12y
57= 12y
divide both sides by the coefficient of y which is 12
57/12 = 12y/12
4.75 = y
y =4.75
put y = 4.75 in equation 3
x = 8 - y.............................. equation 3
x = 8 -4.75
x = 3.25
to check if your answer is correct, put the value of x and y in either equation 1 or 2
from equation 2
x + y = 8.......................... equation 2
3.25 + 4.75 =8
8=8.................... proved
I believe that the answer to the equation is 10
