9514 1404 393
Answer:
x = 4
Step-by-step explanation:
Divide by 2, subtract 8 ...
2(4/x +8) = 18
4/x +8 = 9
4/x = 1
4 = x . . . . . multiply by x
Answer:
First we substitute
4(-3) - 6(-1)
-7 -6
-13
Step-by-step explanation:
Answer:
(-6,4)
Step-by-step explanation:
1/3x − 2 = x + 2 is obtained by equating the following two functions:
y = (⅓)x - 2
y = x + 2
Graph:
Draw two straight lines
1) joining (0,-2) and (6,0)
2) joining (0,2) and (-2,0)
On the graph, you'll see that the above two lines intersect at: (-6,4)
Hence the solution is (-6,4)
Answer:
85.9 m
Step-by-step explanation:
The law of sines can help figure this.
The remaining angle in the triangle is ...
180° -75° -68° = 37°
This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...
b/sin(B) = c/sin(C)
b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters
The surveyor is about 85.9 meters from the second marker.
Given the surface area of the sphere, for us to obtain the volume we need to get the value of the radius. The surface area of the sphere is given by:
S.A=4πr^2
hence the radius can be calculated as follows;
16=4πr^2
4=πr^2
r=(4/π)^(1/2)
volume of a sphere is given by:
V=4/3πr^3
=4/3*π*(4/π)^(1/2))^3
=32/3 cubic inches
