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kvv77 [185]
4 years ago
11

Consider the quadratic function f(x) = x2 – 5x + 6.

Mathematics
1 answer:
PolarNik [594]4 years ago
5 0
A = 2
b = -5
c = 6

The coefficients are 2 and -5
The constant is 6
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The clock has a diameter of 18 inches. At 8 o'clock, what is the area of the sector formed by the two hands of the clock? Round
Drupady [299]

Answer:

The area of the sector is 84.8 in.² to the nearest tenth

Step-by-step explanation:

∵ the clock is a circle

∴ The measure of angles between each two hours = 360° ÷ 12 = 30°

∵ At 8 o'clock the hour hand pointed on 8 and the minute hand pointed on 12

∴ There are 4 angles between the two hands

∴ The central angle subtended by the arc = 4 × 30° = 120°

∵ The Area of the sector = \frac{x}{360} \pi r^{2} where x is the central angle subtended by this arc

∴ Area sector = \frac{120}{360} × π × (18/2)²

∴ Area sector = \frac{1}{3} × π ×81 = 27π = 84.8 in² to the nearest tenth

8 0
3 years ago
Find the arc length of AB. Round your answer to the nearest hundredth.
Fantom [35]

The arc length of AB is 8 m (app.)

Explanation:

Given that the radius of the circle is 8 m.

The central angle is 60°

We need to determine the arc length of AB

The arc length of AB can be determined using the formula,

arc \ length=\frac{central \ angle}{360^{\circ}} \times circumference

Substituting central angle = 60° and circumference = 2πr in the above formula, we get,

arc \ length=\frac{60^{\circ}}{360^{\circ}} \times 2 \pi(8)

Simplifying the terms, we get,

arc \ length=\frac{8 \pi }{3}

Dividing, we get,

arc \ length=8.37758041

arc \ length=8(app.)

Hence, the arc length is approximately equal to 8.

Therefore, the arc length of AB is 8 m

5 0
4 years ago
AB is tangent to the circle at B. M∠A=40 and mBC=130. <br> a. Find x <br> b. Find y
soldi70 [24.7K]

The values for x and y are respectively given as

  • x = 50
  • y= 90

This is further explained below.

<h3>What is the values for x and y ?</h3>

Generally, the equation for secent  is  mathematically given as

secent = \frac{big arc - small arc}{2}

Therefore

40 = \frac{130-x}{2}

80 = 130-x

x = 50

b) To Solve for y Now we find a measure of arc CD

ArcCD = 360-130-50

ArcCD = 180

In conclusion,(1/2) of the arc measure is equal to the angle that is on and inside a circle.

y = 180/2

y= 90

Read more about circle

brainly.com/question/11833983

#SPJ1

3 0
2 years ago
Can y’all help me solve this?
Thepotemich [5.8K]
Do you have to give me the whole graph lol
4 0
3 years ago
What's the answer???
Tema [17]
It is the last answer. because the shaded part is above the line, it is greater than. the slope is 1/3. that leaves only one more equation remaining, so the answer is the last one.<span />
6 0
3 years ago
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