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Fantom [35]
3 years ago
14

A cone has a base radius of 7 centimeters and a height of 21 centimeters.

Mathematics
1 answer:
Arada [10]3 years ago
7 0
V = (1/3) x πr² x h = cm³
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What is the measure of ∠L?
otez555 [7]
<h3>Answer:  72.54</h3>

====================================================

Explanation:

We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.

This is what your steps could look like:

cos(angle) = adjacent/hypotenuse

cos(L) = LM/LN

cos(L) = 18/60

cos(L) = 0.3

L = arccos(0.3)

L = 72.542396876278 which is approximate

L = 72.54 degrees approximately

Make sure your calculator is in degree mode.

8 0
3 years ago
For f(x) = 1/3x +5 <br><br> f(3) =
Mrrafil [7]

Answer:

f(3) = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 1/3x + 5

f(3) is x = 3

<u>Step 2: Evaluate</u>

  1. Substitute:                    f(3) = 1/3(3) + 5
  2. Multiply:                        f(3) = 1 + 5
  3. Add:                              f(3) = 6
3 0
3 years ago
A sphere has a radius of 16 in. Which statements about the sphere are true? Check all that apply.
Wewaii [24]

Answer:

  • The sphere has a diameter of 32 in. CORRECT: the diameter of a sphere doubles its radio, so if the radio equals 16,the diameter measures the double, in this case, 32.
  • The radius' lenght is one half the length of the diameter. CORRECT: , by definition, the diameter is the maximum distance between two opposite points on the surface of the sphere, and its lenght equals twice the radius because the radius is the distance between the center of the sphere and any point of the frontier of the sphere (then, one colud imagine that the distance between two opposite points in a sphere can be united by two radius, or a diameter).
  • The volume (V) of a sphere can be calculated as \frac{4\pi r^3}{3}, where r is the radio. In this case, the volume of the sphere will be \frac{4\pi\times16^3}{3}=\frac{4\pi\times4096}{3}, which is also equal to \frac{16384\times\pi}{3}.

6 0
3 years ago
Read 2 more answers
if a 12 sides regular polygon rotates about it’s center at which angle of rotation will the image of the polygon coincide with t
kotegsom [21]

360 / 12 = 30

So, it's 30 degrees.


Incidentally, a 12 sided polygon is called a dodecagon.



6 0
3 years ago
Read 2 more answers
A 30-ounce jar of peanut butter costs $6.00. A 40-ounce jar costs $7.20. Which jar of peanut
kobusy [5.1K]

Answer:

The 40-ounce jar of peanut butter is cheaper per ounce.

Step-by-step explanation:

30-ounce jar:

6÷30=0.2

40-ounce jar:

7.2÷40=0.18

4 0
2 years ago
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