Answer:
B
Step-by-step explanation:
5^2 - 3^2 = 4^2 So you know that 4 is the height. 4^2 + 7^2 is 65. Find the square root. Square root of 65.
9514 1404 393
Answer:
45 meters
Step-by-step explanation:
The equation is given in vertex form:
h(t) = a(t -b)^2 +c
where (b, c) is the vertex (maximum).
The values of the parameters are ...
a = -5, b = 3, c = 45
Then the maximum height is (time, height) = (3, 45).
The maximum height of the ball is 45 meters.
Answer:
1 7/9 ounces
Step-by-step explanation:
The final solution will be 9 parts water and 1 part hydrogen peroxide (so that hydrogen peroxide makes up 1 of 10 parts of the solution).
Then each "part" is (16 ounces)/9 = 1 7/9 ounces.
1 7/9 ounces of hydrogen peroxide must be added to 16 ounces of water to make a 10% solution.
_____
<em>Check</em>
The total amount of solution is 16 +1 7/9 = 17 7/9 ounces = 160/9 ounces. The amount that is hydrogen peroxide is 16/9 ounces, so the fraction that is hydrogen peroxide is ...
(16/9) / (160/9) = 16/160 = 1/10 = 10%
The value of the expression Z² + Q² is 4321
<h3>How to evaluate the expression?</h3>
The radius of the chocolate spheres is given as:
r = 2
The maximum number of chocolates that can fit in a spherical capsule is calculated as:
Max = R³/r³
Where:
R represents the radius of the sphere.
For the spherical capsule whose radius is 8 inches, we have:
Z = 8³/2³
Evaluate
Z = 64
For the spherical capsule whose radius is 5 inches, we have:
Q = 5³/2³
Evaluate
Q = 15.625
Remove decimal
Q = 15
So, we have:
Z² + Q² = 64² + 15²
Evaluate the exponent
Z² + Q² = 4096 + 225
Evaluate the sum
Z² + Q² = 4321
Hence, the value of Z² + Q² is 4321
Read more about volumes at:
brainly.com/question/1972490
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