Answer:x+42+3x = 90
Combine like terms:
3x+x = 4x
42+4x = 90
Subtract 42 to both sides
90-42 = 48
Divide 4 by 48
48/4 = 12
X = 12
100% right
Step-by-step explanation:
Answer:
b. exactly one solution
Step-by-step explanation:
-5(z+1)=-2z+10
(first, distribute the 5 into the parenthesis)
-5z-5=-2z+10
(next, move the variables to the left and constants to the right)
-5z+2z=10+5
(combine like terms)
-3z=15
(isolate to variable to find the solution)
z=-5
i hope this helps :)
Answer:
Area of the given fan is 763.4 cm²
Step-by-step explanation:
Area of a sector in a circle = 
Here, angle θ = Central angle subtended by the arc
r = Radius of the circle
Since, fan is in the form of a sector of a circle with radius = 27 cm
Measure of the central angle subtended by the arc FN = ∠FAN = 120°
Area of the fan = 
= 
= 243π
= 763.407
≈ 763.4 cm²
Therefore, area of the given fan is 763.4 cm²
A cone always contain a right angle.
To solve for the volume of a cone, we need to get the radius of the cone and its height.
Volume of a cone = π r² h/3
radius is the line from the center of the circle of the cone going to the edge of the circle.
height is the measurement of the cone from its pointy tip going downward.
Assuming the radius of the cone is 3 in. and its height is 6 inches.
Volume of a cone = π * r² * h/3
V = 3.14 * (3in)² * 6in/3
V = 3.14 * 9in² * 2in
V = 56.52 in³
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