3x-8=-3+2x
x-8=-3
x=5
the number is 5 hope this helped (:
We know that
surface area of the cone (SA)=pi*r²+pi*r*l
where
r is the radius
l is the slant height
SA=306*pi cm²
diameter=12 cm
r=12/2----> r=6 cm
SA=pi*r²+pi*r*l--------> [SA-pi*r²]=pi*r*l----> l=[SA-pi*r²]/[pi*r]
l=[306*pi-pi*6²]/[pi*6]---> [306*pi-36*pi]/[6*pi]---> 45 cm
the answer is
<span>the length of the slant height is </span>45 cm
Answer and Explanation:
The problem provides the following information:
Hypotenuse
=
h
y
p
=
5129
ft
Vertical drop
=
o
p
p
=
1275
ft
To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:
sin
θ
=
o
p
p
h
y
p
θ
=
sin
−
1
(
o
p
p
h
y
p
)
θ
=
sin
−
1
(
1275
ft
5129
ft
)
θ
=
sin
−
1
(
0.2485864691
)
θ
=
14.3938824691
≈
14.4
∘
The angle of depression is
14.4
Answer:
c.My grade is 0.87 standard deviations above the mean.
Step-by-step explanation:
given that the z-score of your grade on this Statistics exam turns out to be z=0.87.
Z score is nothing but std normal variate
Any normal distribution can be converted into std normal by the transformation
Z = 
Thus when z=0.87 we mean
x = Mean +0.87 sigma
Or my grade is 0.87 std deviations above the mean
Hence option C is right.
c.My grade is 0.87 standard deviations above the mean.
