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ale4655 [162]
3 years ago
12

1) The center of a circle is at (-10,6) and it has a radius of 4. What is the equation of the circle?

Mathematics
1 answer:
krok68 [10]3 years ago
8 0
1.   (x - h)² + (y - k)² = r²
 (x - (-10)) + (y - 6)² = 4²
  (x + 10)² + (y - 6)² = 16
The equation of the circle is (x + 10)² + (y - 6)² = 16.

2. The answer is A.

3. The equation of the parabola is y = ⁻⁵/₃₆x² - 1²/₃x - 2.

4. I don't know the answer to the problem.
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Use the Law of Sines to solve the triangle. Round your answers to two decimal places.
mario62 [17]

Answer:

Step-by-step explanation:

The Law of Sines is

\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}

Filling in what we are given:

\frac{sin(110.8)}{25.3}=\frac{sin(18.2)}{c}

Cross multiply to get

csin(110.8)=25.3sin(18.2) and divide to solve for side c:

c=\frac{25.3sin(18.2)}{sin(110.8)} which gives you that

c = 8.45

We know that angle B has to be the difference between 180  and angle A and angle C, so

angle B = 51

Now we can solve for side b:

\frac{sin(110.8)}{25.3}=\frac{sin(51)}{b} and

b=\frac{25.3sin(51)}{sin(110.8)} and

b = 21.03

8 0
3 years ago
What is the probability that a point chosen at random in the given figure will be inside the larger triangle and outside the sma
Anna007 [38]
Given:
Area of a triangle = (h*b) / 2

Area of smaller triangle = (4cm * 4cm) / 2 = 16cm² / 2 = 8 cm²
Area of larger triangle = (6cm * 10cm) / 2 = 60cm² / 2 = 30 cm²

30cm² - 8cm² = 22cm²

Probability that the point is inside the large triangle but outside the small triangle:

22cm² / 30cm² → 11/15 → 0.73 or 73%
4 0
3 years ago
Read 2 more answers
In how many ways can you select two people from a group of 20 if the order of selection is not important?
Svetllana [295]
That is 20C2 The number of combinations of 2 from 20 

= 20 * 19 / 2*1  = 190 answer
3 0
3 years ago
Which of the following are solutions to the equation below?
Dmitrij [34]

Answer:

6 and - 4

Step-by-step explanation:

x^2 - 2x - 24 = 0 \\\ \Delta = (- 2)^2 - 4.1.(- 24) \\\ \Delta = 4 + 96 \\\ \Delta = 100 \\\ x' = \frac{- (- 2) + \sqrt{100}}{2.1} \\\\ x' = \frac{2 + 10}{2} \\\\ x' = 6 \\\ x" = \frac{- (- 2) - \sqrt{100}}{2.1} \\\\ x" = \frac{2 - 10}{2} \\\\ x" = - 4


I hope I helped you.

6 0
4 years ago
Complete graphing table showing janice is 7 years older than tam
bazaltina [42]
<u /><em>                                    age (in years)
        </em><u />  0   1   2   3   4   5   6   7   8   9   10     <u /><em>
janice --------------------------------------------------</em><em>
tam    ---------------

</em>3+7 is 10. this is the best i can do from the information you've given me
<em>hope it helps!  :)</em>
4 0
3 years ago
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