Answer:
3^2 + x^2 = 9^2
9 + x^2 = 81
x^2 = 72
x =
, which is about 8.5
Cosine X = 3/9
Cosine X = 1/3
angle x= 70.5
If angle x= 70.5, angle z = 19.5 degrees.
Let me know if this helps!
I have mercy:
8x and 9x+5 (the angles) form a right angle so 8x+9x+5=90 which means x is 5 and plugging it back into the angles 8x we get 40 sinceBHR and angle 8x are vertical angles they are equal to each other and so it's equal to 40
Answer:
4π(w+1)(w-1)
Step-by-step explanation:
The total surface area of the cylinder
= 2 x area of base circle + area of vertical surface
= 2x pi x radius^2 + 2x pi x radius x height
= 2π(w-1)^2 + 2π(w-1)(w+3)
= 2π[w^2-2w+1 + w^2+2w-3]
= 2π(2w^2-2)
= 4π(w^2 - 1)
= 4π(w+1)(w-1)
A
Step-by-step explanation:First, subtract
2
π
r
2
from each side of the equation to isolate the
h
term:
S
−
2
π
r
2
=
2
π
r
h
+
2
π
r
2
−
2
π
r
2
S
−
2
π
r
2
=
2
π
r
h
+
0
S
−
2
π
r
2
=
2
π
r
h
Now, divide each side of the equation by
2
π
r
to solve for
h
:
S
−
2
π
r
2
2
π
r
=
2
π
r
h
2
π
r
S
−
2
π
r
2
2
π
r
=
2
π
r
h
2
π
r
S
−
2
π
r
2
2
π
r
=
h
h
=
S
−
2
π
r
2
2
π
r
Or
h
=
S
2
π
r
−
2
π
r
2
2
π
r
h
=
S
2
π
r
−
2
π
r
2
2
π
r
h
=
S
2
π
r
−
r
2
r
h
=
S
2
π
r
−
r
Money Birute deposited in a savings account = $500
Rate of simple interest per annum = 1.3%
▪︎We need to find the interest she will earn in 4 years.
We know that :

In this case :
Principal = $500
Rate = 1.3%
Time = 4 years
Which means :
The simple interest she will earn in 4 years :



Thus, the simple interest she will earn in 4 years = $26
Amount = Principal + Interest
Amount she will gain after 4 years :


Thus, the amount she will gain after 4 years = $526
Amount change in her account = 526 - 500 = 26
We know that :

Which means :
Percentage of change in her savings account :




<h2>○=> Therefore :</h2>
▪︎Simple interest after 4 years = $26
▪︎Money she will earn after 4 years = $526
▪︎Percentage of change in her savings account = 5.2%