Answer:
28π cm²
Step-by-step explanation:
The surface of a cylinder is given by the formula:
where r is the radius of the base, and h is the height.
Using the image, we can find that the radius of the cylinder would be 2 cm, and the height would be 5 cm.
Now, to find the surface area of the cylinder, we would have to plug in 2 for r (the radius of the base) and 5 for h (the height of the cylinder) into the formula for the surface area of a cylinder.
Now we plug in 2 for r and 5 for h for the equation for the surface area of a cylinder:
2π(2)(5) + 2π(2)² = 20π + 2π(4) = 20π + 8π = 28π
Remember, the radius and the height are given to us in cm, and w are solving for surface area, so the answer should be in cm² (square centimeters).
The surface area of the cylinder would be 28π cm².
28π cm² would be an exact answer. For the approximate answer, plug in 3.14 (most math classes use 3.14 to approximate π) for π.
I hope you find this helpful. :)
Answer:
B.
f(x) = 3x + 26;26≤ y ≤ 35
Step-by-step explanation:
This would be a linear equation in the form
y= mx+b
where b is the initial value (or 26 clients)
m is the slope, or the amount they want to increase by each week
y = 3x+26
Let x =0
y = 26 or what we start with
Let x =3, or be week 4 (we started with x= 0)
y = 3*3 +26
y =9+26
y= 35
Answer:

Step-by-step explanation:
Given
m cups of water = p cups of rice
Required
Cups of water required for p + 2 cups of rice
<em>The question shows a direct proportion between cups of rice and cups of water.</em>
<em>So, the first step is to get the proportionality constant (k)</em>
<em />
This is calculated using the following expression;

Where k represents cups of water and p represents cups of rice
Make k the subject of formula

Let x represents cups of water when cups of rice becomes p + 2;
k becomes:

Equate both expressions of k; to give

Multiply both sides by p + 2




<em>Hence, the expression that represents the cups of water needed is </em>
<em></em>
Answer:
381.70350741116 inches^3
Step-by-step explanation:
4/3 πr^3 = 4/3 x π x 4.5^3 = 381.70 inches ^3
Answer:
(17)
Sum of interior angles of a quadrilateral is 360°
- 110° + 130° + x + x - 3° = 360°
- 2x = 360° - 237°
- 2x = 123°
- x = 61.5°
(18)
Sum of interior angles of a hexagon is 180°*(6 - 2) = 720°
- 2*90° + 2x + 2(x + 22°) = 720°
- 90° + x + x + 22° = 360°
- 2x = 360° - 112°
- 2x = 248°
- x = 124°
(19)
Interior angles of a given pentagon are all marked as congruent, so the exterior angles are congruent too.
Sum of exterior angles is 360°.