Answer:
Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.
Step-by-step explanation:
Full Question:
Find the volume of the sphere. Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth. with a radius of 10 cm
Answer:
The volume of the sphere is ⅓(4,000π) cm³ or 4186.67cm³
Step-by-step explanation:
Given
Solid Shape: Sphere
Radius = 10 cm
Required
Find the volume of the sphere
To calculate the volume of a sphere, the following formula is used.
V = ⅓(4πr³)
Where V represents the volume and r represents the radius of the sphere.
Given that r = 10cm,.all we need to do is substitute the value of r in the above formula.
V = ⅓(4πr³) becomes
V = ⅓(4π * 10³)
V = ⅓(4π * 10 * 10 * 10)
V = ⅓(4π * 1,000)
V = ⅓(4,000π)
The above is the value of volume of the sphere in terms of π.
Solving further to get the exact value of volume.
We have to substitute 3.14 for π.
This gives us
V = ⅓(4,000 * 3.14)
V = ⅓(12,560)
V = 4186.666667
V = 4186.67 ---- Approximated
Hence, the volume of the sphere is ⅓(4,000π) cm³ or 4186.67cm³
The value of (f + g)(x) is x² + x - 14
Given: f(x) = 5x - 6
g(x) = x² - 4x - 8.
To find the value of (f + g)(x)
What are functions?
Functions are expressions or a rule that defines the relation between different variables which are described for a given problem.
Let's solve the question:
f(x) = 5x - 6
g(x) = x² - 4x - 8
We know from the algebra of functions that:
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = (5x - 6) + (x² - 4x - 8)
Now grouping like terms:
= x² + (5x - 4x) + (-6 - 8)
= x² + x - 14
Therefore, (f + g)(x) is x² + x - 14
Hence the value of (f + g)(x) is x² + x - 14
Know more about "functions" here: brainly.com/question/12431044
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Answer : The measure of ∠WRS is 25°.
Step-by-step explanation :
As we know that vertically opposite angles are always equal.
In the given figure,
∠VRT = ∠WRS = (5x)° (Vertically opposite angles)
And we know that the sum of all angle in a straight line is equal to 180°.
So,
∠TSR + ∠WRS = 180°
Given: ∠TSR = (25x + 30)°
∠TSR + ∠WRS = 180°
(25x + 30)° + (5x)° = 180°
30x + 30° = 180°
30x = 180° - 30°
30x = 150°
x = 5°
∠WRS = (5x)° = (5 × 5)° = 25°
Therefore, the measure of ∠WRS is 25°.
