Answer:
the substitution method is one way to solve linear equation. the substitution method is when substitute the one y value with the other:
example :
x+y=10
y=10-x ( value of y)
2x+y=12 ( substitute the value of y in the equation )
2x+(10-x)=12
2x+10-x=12 ( now solve for x)
x=12-10
x=2 ( substitute the value of x in the equation x+y=10)
x+y=10
2+y=10
y=10-2
y=8
( i hope it helps)
Answer:
101
Step-by-step explanation:
The theorem to use this is the intercepted arc theorem, which tells us that if we take 2 points on the circumference of a circle and create an angle in the opposite side of the circumference, that angle is HALF that of the ARC intercepted.
If we look at 100 degree angle, we see the ARC intercepted is 99 degree and a degrees. According to theorem, we can say:
99 + a = 2(100)
99 + a = 200
a = 200 - 99
a = 101
The amount of water that is needed to fill the pool is equal to the volume of the pool.
The pool is rectangular, with uniform depth so the volume of pool will be the product of its length , width and depth.
Thus,
Volume = 25 x 18 x 6 = 2700 ft³
This means, 2700 ft³ water is needed to fill the pool.
There is 4 X so you use 360- (11+1) which is 348 and now divide by 4 which is now 87
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Answer:
CD ≈ 26.0 cm
Step-by-step explanation:
using the sine ratio in right triangle ABD
sin35° =
=
=
( multiply both sides by BD )
BD × sin35° = 12 ( divide both sides by sin35° )
BD =
≈ 20.92 cm
using the sine rule in Δ BCD
=
, that is
=
( cross- multiply )
CD × sin52° = 20.92 × sin102° ( divide both sides by sin52° )
CD =
≈ 26.0 cm ( to 3 significant figures )