The ball will be at height 19 feet first at 0.7 sec and then at 1.42 sec.
<u>Explanation:</u>
We need to find the time at which the ball will be at height 19 feet.
Equation:
h = 3 + 34t - 16t²
19 = 3 + 34t - 16t²
16 = -16t² + 34t
-16t² + 34t - 16 = 0
On solving the equation, we get
t1 = 0.7 s and t2 = 1.42s
Therefore, the ball will be at height 19 feet first at 0.7 sec and then at 1.42 sec.
Answer:
commutative property
Step-by-step explanation:
commutative property
Answer: 620≥ 427.57+ 11.38(4)+ (31.41) +57.75x
Step-by-step explanation:
So our limit is the 620$ that he has to spend. We know for a fact that the bike costs about 427.57 dollars. 4 $11.38 reflectors are purchased as well as gloves for 31.41. Now however many outfits he can purchase cannot exceed or go over his money limit of 620 so the variable (x) represents how many outfits he can buy without going over.
It's 28 pounds. 3,500/125 = 28 pounds.
Answer:

Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

where <em>a</em> and<em> b</em> are the legs and <em>c</em> is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:
Substitute these values into the formula.

Solve the exponents.
- (9 cm)²= 9 cm*9 cm=81 cm²

- (11 cm)²= 11 cm*11 cm= 121 cm²

Add the values on the left side.

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.



We are told to round to the nearest tenth.
The 1 in the hundredth place tells us to leave the 2 in the tenth place.

The hypotenuse is equal to <u>14.2 centimeters.</u>