Answer:
The area of the sector should be 9.42
.
Step-by-step explanation:
-The formula for finding the area of a sector:

-Next use the arc measure and the radius in order to solve and get the answer:

-Solve:





-Round to the nearest hundredth:

Answer:
Event 1: Rolling a number cube has 6 possible outcomes. Event 2: Flipping a coin has 2 possible outcomes. There are 12 possible outcomes.
Step-by-step explanation:
Answer:
No, it does satisfy the Pythagorean Theorem
Step-by-step explanation:
In right triangle a² + b² = c²
Where a and b = legs and c = hypotenuse
The given measures of the legs are 3 and 7 and the given measure of the hypotenuse is √57
Which means that if this is a right triangle then 3² + 7² = √57²
3² = 9
7² = 49
√57² = 57
9 + 49 = 58
we're left with 57 ≠ 58 which is not true, meaning that , that is not a right triangle
Answer:
Step-by-step explanation:
<h3>#7</h3>
- 5⁵(16²5³)³ = 5⁵(2⁴)³(5³)³ = 5⁵2¹²5⁹ = 5¹⁴2¹²
<h3>#8</h3>
- (8⁴5³/8⁵)² = (5³/8)² = (5³)²/(2³)² = 5⁶ / 2⁶
<h3>#9</h3>
- (5⁸3⁷/5⁴)¹⁰ = (5⁴3⁷)¹⁰ = (5⁴)¹⁰(3⁷)¹⁰ = 5⁴⁰3⁷⁰
<h3>#10</h3>
<u>Multiplying powers with same base:</u>

- Same base with powers added up
<u>Multiplying powers with same exponent but different base:</u>

- Same exponent with bases multiplied
Answer:
Q matches to a and P matches to b
Step-by-step explanation:
This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is 
h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P