Answer:
x = ± 4
Step-by-step explanation:
Given
x² = 96 ( take the square root of both sides )
x = ± 
= ± 
= 
× = ± 4
Answer:
7/12
Step-by-step explanation:
lemon is 5/12
lime is 7/12
Answer:
Given: Diameter of cone = 38 feet and height of cone = 14 feet.
Volume of cone V with radius r is one-third the area of the base B times the height h.
i,e 
= 
......[1]
,where B = 
First find the radius(r);
Using Diameter(D) = 2r
38 =2r
Divide both side by 2 we get;
Simplify:
19 = r
or r =19 feet
Now, substitute the value of r = 19 feet and h = 14 feet in [1] [ Use value of 
]
then, we have:
or
V = 
or
V = 
≈ 5,294.67 cubic feet.
therefore, the volume of pile is; ≈ 5,294.67 cubic feet.
I can use the angle and the length of JH to find the length of IJ.
To do this, I look at the relationship IJ and JH have to the 52 degree angle. JH is opposite to angle I, and IJ is adjacent to angle I. Because the two side lengths are opposite and adjacent, I use the tangent function to solve this.
Tangent of an angle = the length of the opposite side / the length of the adjacent side. This is just another way to say tan(x)=opposite/adjacent
Now I can fill in what I know...
tan(52)=4.2/x
Now, I want to isolate x.
tan(52) = 4.2/x
x(tan(52))=4.2
x=4.2/tan(52)
Now I put 4.2/tan(52) into a calculator and get x = 3.3 ft
Hope this helps!
Answer:
7
Step-by-step explanation:
2^3 • 2^7 = 2^10
When multiplying exponents, the exponents add up together. In other words, just subtract 10-3 = 7 that would be your missing exponent!
Hope this helps, good luck!
