Answer:
a < -4
Step-by-step explanation:
Step 1: Write out inequality
-2a - 5 > 3
Step 2: Add 5 to both sides
-2a > 8
Step 3: Divide both sides by -2
a < -4
Here, we can see that any value of <em>a </em>less than -4 works. So <em>a</em> could be -124 or -5, or even -1271293587923857 and it would work.
Option 1. 9.42×3 in² is the correct option.
Step-by-step explanation:
As it has been given in the question that Kyra has arranged the circle sectors in the shape of a parallelogram.
Side of a parallelogram = 9.42 in. and height of this parallelogram is 3 in.
Now we know the formula of the area of a parallelogram = length × height
Area = 9.42 × 3 in².
So the area of this arrangement of the sectors = 9.42×3 in².
Answer:
16π
Step-by-step explanation:
Given that:
The sphere of the radius = 
The partial derivatives of 
Similarly;
∴
Now; the region R = x² + y² = 12
Let;
x = rcosθ = x; x varies from 0 to 2π
y = rsinθ = y; y varies from 0 to 
dA = rdrdθ
∴
The surface area 
![= 2 \pi \times 4 \Bigg [ \dfrac{\sqrt{16-r^2}}{\dfrac{1}{2}(-2)} \Bigg]^{\sqrt{12}}_{0}](https://tex.z-dn.net/?f=%3D%202%20%5Cpi%20%5Ctimes%204%20%5CBigg%20%5B%20%5Cdfrac%7B%5Csqrt%7B16-r%5E2%7D%7D%7B%5Cdfrac%7B1%7D%7B2%7D%28-2%29%7D%20%5CBigg%5D%5E%7B%5Csqrt%7B12%7D%7D_%7B0%7D)
= 8π ( -2 + 4)
= 8π(2)
= 16π
