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3 years ago

Find Value of X 88 82 76 94

Mathematics

2 answers:

morpeh [17]3 years ago

7 0

I think it is 88 not sure though

BARSIC [14]3 years ago

7 0

Answer:

Option C. x = 76°

Step-by-step explanation:

It has been given in a circle that two chords are intersecting by making an angle 94° and measurements of the arcs formed by the chords are x° and 112°.

We have to get the value of x.

Since we know in a given circle when two chords intersect each other then by theorem-

94° = (1/2)(sum of measurements of arcs form by the chords) = (1/2)(x + 112)

x + 112 = 2×94

x + 112 = 188

x = 188 - 112 = 76°

Therefore Option C. x = 76 is the answer.

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Prove that C(50,3) + C(50,4) = C(51,4)

valkas [14]

By definition of the binomial coefficient,

$C(n,k) = \dfrac{n!}{k!(n-k)!}$

so we have

$C(50,3) + C(50,4) = \dfrac{50!}{3!47!} + \dfrac{50!}{4!46!} \\\\ = \dfrac{50!}{3!46!} \left(\dfrac1{47} + \dfrac14\right) \\\\ = \dfrac{50!}{3!46!} \times \dfrac{51}{188} \\\\ = \dfrac{51!}{3!46!} \times \dfrac1{4\times47} \\\\ = \dfrac{51!}{4!47!} \\\\ = \dfrac{51!}{4!(51-4)!} = C(51,4)$

as required.

5 0

1 year ago

Type a digit that makes this statement true.<br> 48,49 ,867 is divisible by 9.<br> Submit

horrorfan [7]

Answer: 8

Step-by-step explanation:

48,498,867 divided by 9 = 5,388,763

7 0

1 year ago

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nordsb [41]

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2 years ago

Guided Practice

marysya [2.9K]

It’s d because 12-15%=10.20

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2 years ago

This composite shape is a rectangle with a semicircle attached on one end. The diameter of the semicircle is 6 feet.

Ugo [173]

As we can see on the picture we have a rectangle and half of circle.

The areas for half circle and rectangle are:

$A_{rectangle}=a\cdot b \\A_{halfcircle}=\frac{A_{circle}}{2}=\frac{\pi r^2}{2}$

The area of the figure is the sum of the area of half circle and rectangle. Also the height of a rectangle (6ft) is a diameter of a half circle therefore the radius of half circle is 6ft ÷ 2 = 3ft.

Now we calculate the areas.

$A_{rectangle}=10\cdot 6=\underline{60} \\A_{halfcircle}=\frac{3.14\cdot3^2}{2}=\underline{14.13} \\A_{total}=A_{rectangle}+A_{halfcircle} =60+14.13=\boxed{74.13\approx74}$

The area of the figure is approximately 74ft squared.

Hope this helps.

r3t40

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2 years ago

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