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3 years ago

I will NAME YOU THE BRAINIEST

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

8 0

Answer:

see below

Step-by-step explanation:

Since the quadrilateral is inscribed in the circle, the opposite angles add to 180.

<V+ <B = 180

74+ <B = 180

Subtract 74 from each side

74-74+ <B = 180-74

<B = 106

We now need to find arc AB

Arc AC is 2* <V = 2*74 =154

We know arc AC = arc AB + arc BC

154 = arc AB + 86

Subtract 86 from each side

154-86 = arc AB + 86 -86

68 = arc AB

Aleonysh [2.5K]3 years ago

5 0

Answer:

Arc AB = 62°

Angle B = 106°

Step-by-step explanation:

Angle V + Angle B = 180

(Opposite angles add up to 180)

74 + Angle B = 180

Angle B = 106°

Let O be the centre of the circle.

Angle OBC = (180-86)/2 = 47°

Angle BOA = 106 - 47

= 59° = Angle AOB

Angle Arc AB = 180 - 2(59) = 62°

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Determine the angular velocity, in radians per second, of 14.2 revolutions in 8 seconds

adoni [48]

To answer this item, we use dimensional analysis and conversion factor, 1 revolution is equal to 2π rad. Using the concept and the given,

n = (14.2 revolutions / 8 seconds)(2π rad/1 rev)
n = 11.15 rad/s
Thus, the angular velocity is equal to 11.15 rad/s.

8 0

3 years ago

( will give brainlyest)

Arada [10]

Answer: 384 feet

Step-by-step explanation:

We will simplify and solve -16t² + 160t when t is equal to 4.

-16t² + 160t

-16(4)² + 160(4)

384 feet

8 0

1 year ago

Read 2 more answers

A small lawnmower company produced 1,500 lawnmowers in 2008. In an effort to determine how maintenance-free these units were, th

ikadub [295]

Answer:

The 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).

Step-by-step explanation:

The (1 - α)% confidence interval for the average using the finite correction factor is:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\cdot\sqrt{\frac{N-n}{N-1}}$

The information provided is:

$N=1500\\n=183\\\sigma=1.47\\\bar x=3.3$

The critical value of z for 95% confidence level is,

z = 1.96

Compute the 95% confidence interval for the average number of years until the first major repair as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\cdot\sqrt{\frac{N-n}{N-1}}$

$=3.3\pm 1.96\times\frac{1.47}{\sqrt{183}}\times\sqrt{\frac{1500-183}{1500-1}}\\\\=3.3\pm 0.19964\\\\=(3.10036, 3.49964)\\\\\approx (3.1, 3.5)$

Thus, the 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).

7 0

2 years ago

Catarina is buying supplies for a party. She plans to spend at least $100 on food and at least $50 on party favors. She can spen

harkovskaia [24]

Answer:

food $\geq$ 100

favors $\geq$ 50

total $\leq$ 250

3 0

2 years ago

Write the area A of a square as a function of its perimeter P. ...?

Svetradugi [14.3K]

The answer is A = P²/16

The perimeter P of a square is sum of its sides s: P = s + s + s + s = 4s
The area A of a square with side s is: A = s * s = s²

Step 1: Solve s from the formula for the perimeter.
Step 2: substitute s from the formula for the perimeter into the formula for the area.

Step 1:
P = 4s
s = P/4

Step 2:
A = s²
s = P/4
A = (P/4)²
A = P²/4²
A = P²/16

4 0

3 years ago