<u>Answer</u>
D
<u>Explanation</u>
9⁽¹/²⁾² = (9⁽¹/²⁾)²
= 9¹/² × 9¹/² (Since the base are the same, we can add the power.)
= 9⁽¹/² ⁺¹/²⁾
= 9 ¹
= 9
The correct simplification is D.
Answer: 640
Step-by-step explanation:
The scale factor is 20/5=4, so the ratio of the areas is the square of this, or 16.
Thus, the area of ABCD is 40(16)=640.
Answer:
376.991 cm²
Step-by-step explanation:
![SA_{cylinder} = 2\pi r^{2} + 2\pi rh](https://tex.z-dn.net/?f=SA_%7Bcylinder%7D%20%3D%202%5Cpi%20r%5E%7B2%7D%20%20%2B%202%5Cpi%20rh)
Surface Area = 2π(5²) + 2π(5)(7)
= 50π + 70π
= 120π
= 376.9911184... ≈ 376.991
<h2>Derive Surface Area of A Cylinder</h2>
If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle
The formula for the area of a circle = πr², and since there are 2, it is 2πr²
The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh
∴ 2πr² + 2πrh
Answer:
360 cm3
Step-by-step explanation:
Option d is the right answer