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3 years ago

Using the approximation 3.14 for (pie symbol , what is the radius of a circle with a circumference of 59.7

Mathematics

1 answer:

fenix001 [56]3 years ago

4 0

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Two angles form a

Alex777 [14]

Answer:

45° and 135°

Step-by-step explanation:

A linear pair of angles sum to 180°

let one angle be x , then the other is 3x ( 3 times the other ), thus

x + 3x = 180

4x = 180 ( divide both sides by 4 )

x = 45

Thus the 2 angles are

x = 45° and 3x = 3 × 45° = 135°

5 0

4 years ago

A fair coin is tossed 100 times. What is the probability that more than 55 heads are observed?

Snezhnost [94]

Let us say T= probability of head turning up = 1/2 in one toss
H = probability of a tail turning up = 1/2 in one toss

Then P (56 heads or more) =
   1/2^100 [ C(100,56) + C(100,57) + C(100,58) + ....
       C(100,98) + C(100,99) + C(100,100) ]

   where C(N, R) = N ! / [ (N - R)! R! ] number of occurrances of R formed from
   N tosses.

4 0

3 years ago

Read 2 more answers

The equation of a line is given by, 13x – y + 12 = 0. Find the slope and both the intercepts.

MArishka [77]

Answer:

The slope is 13.

The x intercept is $x=\frac{-12}{13}$ .

The y intercept is $y=12$ .

Step-by-step explanation:

1. Finding the slope.

This is a linear equation, because it's graph forms a line. In a linear equation, the slope is always the value that multiplies x. In this case, x is being multiplied by 13, therefore, the slope is 13.

2. Finding the x intercept.

The x intercept is found when the value of y is 0. Let's replace the value of y for 0 in the equation and solve the x:

$13x-y + 12 = 0\\\\13x-(0) + 12 = 0\\\\13x+12 = 0\\\\13x= -12\\\\x=\frac{-12}{13}$

The x intercept is $x=\frac{-12}{13}$ .

3. Finding the y intercept.

The y intercept is found when the value of x is 0. Let's replace the value of x for 0 in the equation and solve the y:

$13x-y + 12 = 0\\\\13(0)-y + 12 = 0\\\\-y + 12 = 0\\\\-y=-12\\\\y=12$

The y intercept is $y=12$ .

3 0

2 years ago

75. Simplify the expression: -2x(4x^2 - 5x + 3)

Karolina [17]

-2x(4x² - 5x + 3) Distribute/multiply -2x into (4x² - 5x + 3)

(4x²)(-2x) - (5x)(-2x) + (3)(-2x)

-8x³ + 10x² - 6x

Your answer is the 3rd option

3 0

3 years ago

How many 5 cents can u get from $1.25?

Zarrin [17]

Answer:

Step-by-step explanation:

5 cents = 0.05

1.25 / 0.05 = 25

let me know if i'm wrong

5 0

3 years ago

Read 2 more answers

Using the approximation 3.14 for (pie symbol ​, what is the radius of a circle with a circumference of 59.7

Using the approximation 3.14 for (pie symbol , what is the radius of a circle with a circumference of 59.7