Step-by-step explanation:
Step 1:
A . 5 with an exponent of 3 times 5 with an exponent of -4
= 
= 
= 
= 1/5
B . (1/4) with an exponent of 3 times (1/4) with an exponent of 2
= 
C. Same as above
D. 
Step 2 :
All the above expressions have a value between 1 and 2
Answer:
0.76m²
Step-by-step explanation:
In the above question, we are given the following information.
Radius = 0.4m
Height = 0.45m
To solve this question, The umbrella is CONICAL in shape and it has no BASE, we would be finding the lateral surface area of a cone. Since we are given height and radius :
Lateral Surface Area of a cone =
πr√(h² + r²)
= π × 0.4√(0.45² + 0.4)
= 0.7566m²
≈ Approximately = 0.76m²
Therefore, the amount of fabric needed to manufacture this umbrella is 0.76m²
9514 1404 393
Answer:
B. (x +4)² +(y +5)² = 64
Step-by-step explanation:
The equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Filling in your given values, you have ...
(x -(-4))² +(y -(-5))² = 8²
Simplifying, you get ...
(x +4)² +(y +5)² = 64 . . . . . . . matches choice B
_____
<em>Additional comment</em>
As you learn more different "standard form" equations, it may be helpful to keep a list, along with reminders of what the variables stand for and how the equation is used.
