Answer:
64 cm²
Step-by-step explanation:
Suppose the original paper was x cm on a side. Then the original perimeter was 4x.
When the square is folded in half, two of the sides are now x/2, so the perimeter is ...
x + x/2 + x + x/2 = 3x
If 3x = 24 cm, then x = 8 cm.
The area of the original paper is ...
A = x² = (8 cm)² = 64 cm²
Answer:
3.576 cm
Step-by-step explanation:
radius of ball, r=?
Given:
Density, p = 0.600g/mL
mass, m= 115g
finding volume, v of ball by using formula p=m/v
v= m/p
= 115/0.600
=191.666 mL^3
=191.666 cm^3
Now using formula v= (4/3)πr^3 to find radius, r of the ball
r^3= 3v/4π
= 3(191.666)/4π
=45.75 cm
r =3.5767 cm !
Given: 2<span>√(x - 5) = 2
Taking the square of both sides:
[</span>2√(x - 5) = 2]^2
4(x - 5) = 4
x - 5 = 1
x = 6
Among the choices, the correct answer is A. <span>x = 6, solution is not extraneous .</span>
20x26=520
The answer is D 520.
Hope it helps.
Answer:
28.07° ; 70.53° ; 53.13° ; 36.87°
Step-by-step explanation:
Using PYTHAGORAS RULE :
IMAGE 1:
value of cos α equals :
cos α = Adjacent / Hypotenus
cos α = 15 / 17
cos α = 0.88235
α = cos^-1 (0.88235)
α = 28.07°
IMAGE 2:
sin β = Opposite / Hypotenus
sin β = 14√2 / 21
sin β = 0.9428
β = sin^-1(0.9428)
β = 70.53°
IMAGE 3:
From trigonometry :
cot = 1 / tan
Tan = Opposite / Adjacent
Therefore, Cot = Adjacent / Opposite
cot γ = 3/4
cot γ = 0.75
γ = cot^-1 (0.75)
γ = 53.13°
IMAGE 4:
tan α = Opposite / Adjacent
tan α = 15 / 20
tan α = 0.75
α = tan^-1 (0.75)
α = 36.87°
