1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valentinak56 [21]
2 years ago
6

The circle below has center P, and its radius is 3 m. Given that m 2 QPR=170°, find the length of the minor arc OR.

Mathematics
1 answer:
QveST [7]2 years ago
4 0

Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.

<h3>What is the Length of an Arc?</h3>

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}

where

θ is the angle, that which arc creates at the centre of the circle in degree.

Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,

The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m

Hence, the length of the arc m∠QPR is 2.8334π m.

Learn more about Length of an Arc:

brainly.com/question/1577784

#SPJ1

You might be interested in
7 1⁄5 – 6 2⁄5 = ? <br><br> A. 4⁄5<br> B. 1 4⁄5<br> C. 1 1⁄5<br> D. 13 3⁄5
STatiana [176]

Answer:

A

Step-by-step explanation:

Change the mixed numbers to improper fractions

7 \frac{1}{5} = \frac{36}{5}

6 \frac{2}{5} = \frac{32}{5}

The subtraction is then

\frac{36}{5} - \frac{32}{5}

Both fractions have a common denominator so subtract the numerators leaving the denominator

= \frac{36-32}{5} = \frac{4}{5} → A

4 0
3 years ago
Nielsen ratings are based on televisions in 50005000 households. Nielsen estimates that 12 comma 00012,000 people live in these
avanturin [10]

Answer:

We are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%

Step-by-step explanation:

-From the given information, \hat p=0.65.

-We calculate the confidence interval using this value at 95% confidence level:

CI=\hat p\pm z \sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\\\=0.65\pm 1.96\times \sqrt{\frac{0.65\times 0.35}{12000}}\\\\\\=0.65\pm 0.0085\\\\\\=[0.6415,0.6585]

So, the 95% confidence interval is (0.6515,0.6585).

Hence, we are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%.

6 0
3 years ago
What is the distance between 3, 5 and -4, 1
USPshnik [31]

Answer:

Distance = 8.06

Step-by-step explanation:

We have to use the distance formula d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}  }.

(x_{1},y_{1}) = coordinates of the first point

(x_{2},y_{2} ) = coordinates of the second point

To solve, plug the appropriate values into the formula.

d=\sqrt{(-4-3)^{2} +(1-5)^{2} } = \sqrt{65} = 8.062257748

5 0
3 years ago
Find the equation of the line passing through point (4,2) and perpendicular to AB
Setler [38]

Answer:

a. -⅓

b. 3

c. y = 3x - 10

Step-by-step explanation:

a. Gradient of line AB:

A(1, 3), B(7, 1)

Gradient = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{7 - 1} = \frac{-2}{6} = -\frac{1}{3}

Gradient (m) = -⅓

b. The of the line that is perpendicular to line AB would be the negative reciprocal of the gradient of line AB.

Thus, the negative reciprocal of -⅓ = 3

Gradient of the line perpendicular to line AB = 3

c. Equation of the line that passes through (4, 2) and is perpendicular to line AB:

We can write the equation using the point-slope form equation, y - b = m(x - a), where,

(a, b) represents a point on the line, and,

m = gradient/slope

We know that the gradient/slope (m) = 3

Also, a point, (a, b) = (4, 2).

Therefore, substitute a = 4, b = 2, and m = 3 into y - b = m(x - a)

Thus:

y - 2 = 3(x - 4)

y - 2 = 3x - 12

Add 2 to both sides

y = 3x - 12 + 2

y = 3x - 10

5 0
2 years ago
2w + 7 = 2(w + 5) - 8
BARSIC [14]

Answer:

no solution

Step-by-step explanation:

2w + 7 = 2(w + 5) - 8

Distribute

2w+7 = 2w+10-8

Combine like terms

2w+7 = 2w+2

Subtract 2w from each side

7 = 2

This is never true so there is no solution

7 0
3 years ago
Read 2 more answers
Other questions:
  • A number to be multiplied is called a
    7·2 answers
  • What is pie multiple by 10 by pie by 10 divided by 7 times 9<br><img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title=
    5·2 answers
  • A plumber charges $50 for a service call plus $80 per hour. If she spends no longer than 8 hours a day at any one site, find a l
    5·1 answer
  • If 8g=96, then g equals
    10·1 answer
  • Evaluate this piecewise function
    11·1 answer
  • Michelle bought 2 tickets to a zoo. After she bought the tickets, her account balance showed a change of −$33.04. What would hav
    13·1 answer
  • Savannah had 2 bags of leaves raked by 11 a.m.. If she continued at this rate, how many bags of leaves would she have raked by 2
    7·2 answers
  • What is the geometric mean of 12 and 9
    10·2 answers
  • 5 5/7 x 5 5/7 for a quiz
    15·2 answers
  • The graph below shows the number of books the students in Mrs. Harold's class read this semester. Which two students together re
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!