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3 years ago

The diameter of a circle is 14 millimeters. What is the circle's radius?

Mathematics

2 answers:

Readme [11.4K]3 years ago

8 0

Hello there! The radius is 7.

Remember that the radius is half the diameter. If you take half of 14 (aka divide by 2) you get 7, making this your radius.

I hope this helps and have a great day! :)

umka2103 [35]3 years ago

3 0

Answer:7

Step-by-step explanation:

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Solve for the value of x

Mice21 [21]

Answer:

x = 50°

Step-by-step explanation:

130 and x are adjacent angles on a straight line and sum to 180° , so

x + 130° = 180° ( subtract 130° from both sides )

x = 50°

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2 years ago

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Shawn filled a bucket with 5 1/4 gallons of water. A few minutes later, he realized only 1 1/3 gallons of water remained. How mu

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3 years ago

A movie theater owner made this box plot to represent attendance at the matinee movie last month.

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3 years ago

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

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3 years ago

Please help me!!!!! How do you get 67.3 and 112.7 from .9228

antoniya [11.8K]

Answer and Step-by-step explanation:

You are correct in that we need to use the Law of Sines: $\frac{c}{sinC} =\frac{b}{sinB}=\frac{a}{sinA}$ .

Here, when we use the Law of Sines, we have: $\frac{28}{sin(63)}=\frac{29}{sinB}$ .

Cross multiply:

(sinB) * 28 = (sin63) * 29

28sinB ≈ 25.839

sinB ≈ 0.9228

Now, in order to solve for B, we need to use inverse sin ( $sin^{-1}$ ):

$sin^{-1}(sinB)=sin^{-1}(0.9228)$

The sines on the left cancel out, and we're left with:

B ≈ 67.3 degrees

Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:

180 - 67.3 = 112.7 degrees.

Hope this helps!

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