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3 years ago

Find the measure of c. A. 10 B. 280 C. 100 D. 140

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

3 0

Answer:

63°

Step-by-step explanation:

a = 27°

b = 180° - (a + 27°)

b = 180° - (27° + 27°)

b = 180° - 54°

b = 126°

By inscribed angle theorem:

c = 1/2 b = 1/2 * 126°

c = 63°

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german

Answer:

The answer is 9/16.

Step-by-step explanation:

Using Indices Law,

${( \frac{a}{b}) }^{n} ⇒ \frac{ {a}^{n} }{ {b}^{n} }$

So for this question :

${ (\frac{3}{4}) }^{2}$

$= \frac{ {3}^{2} }{ {4}^{2} }$

$= \frac{3 \times 3}{4 \times 4}$

$= \frac{9}{16}$

7 0

3 years ago

There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but ever

NikAS [45]

Answer:

4512 handshakes

Step-by-step explanation:

We are told in the question, that there are

96 people in the room = 48 couples

Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once

This means

48 couples will shake 94 people because they are excluded

This is calculated as

48 × 94 = 4512 handshakes

6 0

3 years ago

You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that t

icang [17]

Answer:

The probability that the first card is a Heart and the second card is a Spade is 0.064.

Step-by-step explanation:

A standard deck of 52 cards is shuffled and two cards are drawn without replacement.

The denominations of the cards are as follows:

Spades (S) = 13

Hearts (H) = 13

Diamonds (D) = 13

Clubs (C) = 13

Compute the probability of selecting a Heart first as follows:

$P(H)=\frac{13}{52}=0.25$

Compute the probability of selecting a Spade second as follows:

$P(S)=\frac{13}{51}=0.255$

Since the two cards are selected without replacement the second draw is independent of the other.

Then the probability that the first card is a Heart and the second card is a Spade is:

$P(1st\ H\cap 2nd\ S)=P(H)\times P(S)$

$=0.25\times 0.255\\=0.06375\\\approx 0.064$

Thus, the probability that the first card is a Heart and the second card is a Spade is 0.064.

4 0

3 years ago

A certain television is advertised as a 53-inch TV (the diagonal length). If the width of

zhenek [66]

The TV is 45 inches tall.

Step-by-step explanation:

The diagonal length of television = 53 inches

Width of TV = 28 inches

As TV is in rectangular or square shape, a diagonal will form a right triangle

Where,

Diagonal = hypotenuse = c = 53 inches

Width = base = b = 28 inches

Length = perpendicular = a

we will use pythagorean theorem to find the length.

$a^2+b^2=c^2\\a^2+(28)^2=(53)^2\\a^2+784=2809\\a^2=2809-784\\a^2=2025$

Taking square root on both sides

$\sqrt{a^2}=\sqrt{2025}\\a=45$

The TV is 45 inches tall.

Keywords: triangle, square root

Learn more about square root at:

#LearnwithBrainly

6 0

3 years ago

I need 20 characters to post this so ignore

Natali5045456 [20]

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6 0

3 years ago