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3 years ago

Solve for m 13x - 10 M N 7x - 10

Mathematics

1 answer:

lisov135 [29]3 years ago

7 0

Answer:

x = 10

Step-by-step explanation:

Given:

Arc LM = 13x - 10

Arc MN = 7x - 10

Required:

Solve for x

Solution:

Recall: half a circle = 180°

Therefore,

Arc LM + Arc MN = 180°

13x - 10 + 7x - 10 = 180

Add like terms

20x - 20 = 180

20x - 20 + 20 = 180 + 20

20x = 200

20x/20 = 200/20

x = 10

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If a denotes some event, what does upper a overbar denote? if p(a)equals0.992, what is the value of p(upper a overbar)?

ELEN [110]

If A denotes some event, what does Ā denote?

If P(A) = 0.992, what is the value of P(Ā)?

Answer :

A denotes some event , Ā denotes the complement of A that is Ā contains all the events that does not occur in A.

Given: P(A) = 0.992

We know total probability =1

P(A) + P(Ā)= 1

P(Ā)= 1 - P(A)

P(Ā)= 1 - 0.992 = 0.008

P(Ā) = 0.008

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4 years ago

What is the center of a circle with the equation (x - 6)2 + (y + 2)2 = 9?

galina1969 [7]

Answer:

B. (6,-2)

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2

The center of the circle is (h,k)

So, in this problem, h is 6 and k is -2, so the center of this circle is (6,-2).

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4 years ago

In the figure above, point O is the center of the circle,

snow_tiger [21]

Answer:

16.67 or 16 2/3

Step-by-step explanation:

so, as BC is a tangent, it means the angle OBC is 90 degrees.

therefore, the angle BOC is 180 - 90 - 30 = 60 degrees.

that means the angle AOB is 180 - 60 = 120 degrees.

the triangle ABO must be an isosceles triangle, as the sides are both the radius of the circle. so, both remaining angles are the same : half of 180 - 120 = 60 = 30 degrees.

and so, we know that ABC is an isosceles triangle, because both "side angles" are equal = 30 degrees.

so, AB = BC.

and we know the circumference of the circle (50) and can calculate the radius

50 = 2×pi×r

25 = pi×r

r = 25/pi ≈ 7.96

now we have multiple ways to calculate AB.

AB = BC = tan(60) × r

AB = sqrt(r² + r² - 2×r×r×cos(120))

or ...

the first one might be easiest.

AB = tan(60) × 7.96 ≈ 13.78

oh, I just recognized, we need the arc AB (not the straight line).

even easier.

50 is the full "arc" of the circle for all 360 degrees.

but we only need the part of the angle AOB = 120 degrees.

so, this is then only the 120/360 part of the full circle circumference.

ABarc = 50 × 120/360 = 50 / 3 ≈ 16.67 or 16 2/3

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3 years ago

What is the surface area of the pyramid shown to the nearest whole number? the diagram is not drawn to scale

Citrus2011 [14]

Answer:

(B) $SA=72{\tex{feet^2}$

Step-by-step explanation:

Given: From the figure, it is given that the length of the base is 4 feet and slant height is 7 feet.

To find: The Surface are of Pyramid.

Solution: From the figure, it is given that the length of the base is 4 feet and slant height is 7 feet.

Now, surface area of the Pyramid is given as:

$SA={\text{Area of base}+\frac{1}{2}pl$

where p is the perimeter and l is the slant height.

Now, area of base is given as:

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And, the surface area is given as:

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Hence, option B is correct.

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anastassius [24]

Mode is the number that occurs most often, since it's variable A look at the x-values.

The mode is 4.

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