(distribute)
(collect like-terms)
(we flipped the sign because we divided by a negative)

Answer:
Altitude of cylinder = 10 cm
Step-by-step explanation:
Given:
lateral surface area of cylinder = 90 cm²
Circumference of base = 9 cm
Find:
Altitude of cylinder
Computation:
Circumference of base = Circumference of cylinder
So,
2πr = 9
lateral surface area of cylinder = 2πrh
2πrh = 90
We know that; 2πr = 9
So,
9(h) = 90
h = 90 / 9
Altitude of cylinder = 10 cm
Answer:
Everyone will get
amount of cakes.
Step-by-step explanation:
Given:
Number of Cakes Josh buys = 35
Number of Students Josh wants to share = 86
Josh need to share cakes with fifth grade students.
We need to find the fraction of cakes everyone will get.
So to find the the fraction of cakes everyone will get can be calculated by dividing Number of Cakes Josh buys with Number of students he want to share with.
Amount of cakes Every one will get =
Now Substituting the values we get;
Amount of cakes Every one will get =
Hence Everyone will get
amount of cakes.
The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).
The value of the
is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.
<h3>
What is law of sine?</h3>
The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).
It can be given as,

Here
are the angle of the triangle and
are the sides of that triangle.
Given information-
The triangle for the given problem is attached below.
In the triangle the base of the triangle is 2.6 units long.
The sine law for the given triangle can be written as,

As the value of
side is known and the value of
has to be find. Thus use

Put the values,

Solve it for the
,

Hence the value of the
is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.
Learn more about the sine law here;
brainly.com/question/2264443