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lisabon 2012 [21]
3 years ago
6

In the diagram of circle K, tangents are drawn from point A to points B and C on the circle. If arc mBC = 96, then what is the m

easure of angle A.

Mathematics
1 answer:
rjkz [21]3 years ago
8 0

Answer:

∠A = 84°

Step-by-step explanation:

Since AB and AC are tangent to the circle, ∠ABK = 90° and ∠ACK = 90°.

Angles of a quadrilateral add up to 360°, so:

∠A + 90° + 90° + 96° = 360°

∠A = 84°

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A mechanic charges $35 to perform an inspection on a car, and $55 per hour for a repair. Which equation gives the total cost, ,
pychu [463]

Answer:

Total cost = charge fee + 55× no. of hours

Let h represents number of hours

Total cost = 35 + (55×h)

3 0
3 years ago
If P(A) =2/3<br> P(B) = 4/5, and P(AUB) =11/15<br> what is P(AB)?
Marrrta [24]

Answer:

11/15

Step-by-step explanation:

5 0
3 years ago
Dada la ecuacion 25x2 + 4y2 = 100, determina las coordenadas de los vertices, focos, las longitudes de los respectivos ejes mayo
Likurg_2 [28]

Answer:

The given equation is

25x^{2} +4y^{2}=100

Which represents an elipse.

To find its elements, we need to divide the equation by 100

\frac{25x^{2} +4y^{2} }{100} =\frac{100}{100} \\\frac{x^{2} }{4} +\frac{y^{2} }{25} =1

Where a^{2} =25 and b^{2}=4. Remember that the greatest denominator is a, and the least is b. So, we extract the square root on each equation.

a=5 and b=2.

In a elipse, we have a major axis and a minor axis. In this case, the major axis is vertical and the minor axis is horizontal, that means this is a vertical elipse.

The length of the major axis is 2a=2(5)=10.

The length of the minor axis is 2b=2(2)=4.

The vertices are (0,5);(0,-5) and (2,0);(-2,0).

Now, the main parameters of an elipse are related by

a^{2}=b^{2} +c^{2}, which we are gonna use to find c, the parameter of the focus.

c=\sqrt{a^{2}-b^{2} }=\sqrt{25-4}=\sqrt{21}

So, the coordinates of each focus are (0,\sqrt{21}) and (0,-\sqrt{21})

The eccentricity of a elipse is defined

e=\frac{c}{a}=\frac{\sqrt{21} }{5}  \approx 0.92

The latus rectum is defined

L=\frac{2b^{2} }{a}=\frac{2(4)}{5} =\frac{8}{5} \approx 1.6

Finally, the graph of the elipse is attached.

7 0
3 years ago
The information below applies to a competitive firm that sells its output for $40 per unit.
drek231 [11]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

On producing 150 units, its average total cost = $24.50

We need to find the total cost.

As we know that

Average\ cost=\dfrac{Total\ cost}{No.\ of\ units}\\\\total\ cost=Average\ cost\times No.\ of\ units\\\\total\ cost=24.50\times 150\\\\total\ cost=\$3675

Hence, total cost is $3675.00.

Therefore, Option 'c' is correct.

3 0
3 years ago
Has anyone ever gone on to ed did a quiz and u answer all ten questions with A and get 100%?
ruslelena [56]

Answer:

No, sadly ;-;

Step-by-step explanation:

7 0
3 years ago
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