Find the angle which an arc of length 22 cm
subtends at the centre of a circle of radius 15 cm
[Take = 221(a) 70°(b) 84° (c) 96° (d) 156° an​

Answers

Answer 1

Answer: B.) 84°

Step-by-step explanation:

Given the following :

Radius of circle(r) = 15cm

π = 22/7

Length of arc (L) = 22cm

The length of an arc is calculated using :

Length (L) = (Θ / 360) × 2πr

22 = (Θ / 360) × 2 × 22/7 × 15

22 = Θ × 660 / (360 * 7)

22 = Θ × 660 / 2520

Θ × 660 = 22 × 2520

Θ = 55440 / 660

Θ = 84°


Related Questions

1/4 of a pipe is white , 1/2part of the remaining is blue. If the remaining part is black and the length of this blackpart is 5 1/4cm, find the length of the pipe.

Answers

Answer: 14 cm

Step-by-step explanation:

let's total length = h

white = 1/4h

remain = h - 1/4h

=3/4h

blue = 1/2 of remaining

=1/2 of 3/4h

=3/8h

remain part black = 3/4h - 3/8h

=3/8h

according to the question

3/8h = 5 1/4 cm

h = 14 cm

length of the pipe is 14 cm

Answer:

14

The length of the pipe is 14.

Solution,

Let the total length be X cm

[tex]x - \frac{x}{4} -{ (x - \frac{x}{4} ) \times \frac{1}{2}} = 5 \frac{1}{4} \\ x - \frac{x}{4} - \frac{x}{2} + \frac{x}{8} = \frac{21}{4} \\ \frac{8x - 2x - 4x + x}{8} = \frac{21}{4} \\ \frac{3x}{8} = \frac{21}{4} \\ 3x \times 4 = 21 \times 8 \\ 12x = 168 \\ x = \frac{168}{12} \\ x = 14[/tex]

Hope this helps..

Good luck on your assignment..

Write an inequality and show on a number line all numbers: from (–3) to 2 exclusives.

Answers

Answer:

The inequality is -3 < x < 2

The number line is included

Step-by-step explanation:

To express the numbers as an inequality, we have for exclusive numbers the form, [-3, 2] which gives;

-3 < x < 2

We note that an exclusive number (or larger than and lesser than inequality) is represented by an empty in the numbers excluded (for strict equality)

Therefore, we draw a number line with empty circles at number points -3, and 2 as follows;

-4 -3 -2 -1 0 2 1 2 3 4 5

PLEASE HELP ME I BEG

Answers

The second one, and the two last should be the right answer,
Hope this helped:)

Answer:

12

25

Step-by-step explanation:

Find the value of x if 212x5 is a multiple of 3 and 11

Answers

Answer:

8

Step-by-step explanation:

when the valueof x is 8 then it is multiple of 3 and 11

#21285/3=7095

#21285/11=1935

I Hope this will be helpful for you.

A line contains the points (6,8), (-2, k) and (-10, 4). What is the value of k?

Answers

Answer:

k = 6

Step-by-step explanation:

Step 1: Find slope m

m = (4 - 8)/(-10 - 6)

m = -4/-16

m = 1/4

y = 1/4x + b

Step 2: Find b

4 = 1/4(-10) + b

4 = -5/2 + b

b = 13/2

Step 3: Rewrite equation

y = 1/4x + 13/2

Step 4: Find k

y = 1/4(-2) + 13/2

y = -1/2 + 13/2

y = 12/2

y = 6

Answer: 6

Step-by-step explanation:

As you move left to right on the x-coordinate, your y value is increasing. If you notice, the x values are increasing by eight at a time. So, if you take the value in between 4 and 8, you get your answer, which is 6.

Abigal found that she can drive 140 miles in 3 hours, including rest stops, on intersate highway. How long would it take her to drive the interstates from cleveland, ohio, to washington dc which is 350 miles?

Answers

Answer:

7.5 hours

Step-by-step explanation:

distance = rate * time (d=rt)

First we find her average rate, or speed:

140 miles = 3 hours * rr = [tex]\frac{140 miles}{3 hours}[/tex] = 46.6666 miles/hour

Now we take that rate and use our second distance to find the time:

d = rt

t = d/r = 350 miles / 46.6666 miles/hour = 7.5 hours

If u do 3 I’ll mark Brainlynest and give u 29 points

Answers

Answer:

Step-by-step explanation:

To calculate the perimeter we must add the lenghts of the sides :

CD=13 USING THE PYTHAGORIAN THEOREM ED=5EF=3BC=14BK=4KH=4GF=9HG≈ 11 USING THE  PYTHAGORIAN THEOREM WE GET 11.2 WICH 11 APPROMATIVELY by ADDIND THESE VALUES WE GET : the perimeter = 63 To calculate the area we must divide the shape into 4 parts : 3 rectangles and 1 triangle A1=56A2=30A3=80A4=27THE TOTAL AREA = 193

BRAINLIEST PLS HELP ASAP LINEAR EQUATIONS

Answers

Answer:

first one

Step-by-step explanation:

Tracey bought 10 movies

some cost 13 and the others 16

Let x be the movies that cost 13 and y ones that cost 16

we can state that

x+y = 10

since Tracey both ten

13x+ 16y = 139

since the total price is 139

so the system is :

[tex]\left \{ {{13x+16y=139} \atop {x+y=10}} \right.[/tex]


A quadrilateral is a parallelogram only if both pairs of opposite sides are equal.
O A. True
O B. False

Answers

Answer:

True

Step-by-step explanation:

A parallelogram is a quadrilateral with 4 sides and both pairs of opposite sides are equal.

Answer:

Hey there! The answer to your question will be below.

Step-by-step explanation:

The correct answer would be A. True

Both sides of the opposite sides are equal and has to have 4 sides so a quadrilateral is a parallogram.

A quadrilateral is a parallelogram only if both pairs of opposite sides are equal

= TRUE!

Hope this helps!

By: xBrainly

WILL MARK BRAINLIEST!!! PLZ HELPPPP Two groups of students were asked how far they lived from their school. The table shows the distances in miles: Which statement best compares the mean distances for the two groups? It is equal for Group A and Group B. It is greater for Group B than Group A. Its value for Group A is double its value for Group B. Its value for Group B is double its value for Group A.

Answers

Answer:

B

Step-by-step explanation:

mean = average. to find it, add all terms, and then divide by the number of terms.

find the mean of group a:

(1+1.5+3+3.2+2.8+1.5+1.8+2.5+2.2)/9 = 2.16

find the mean of group b:

(2+2.5+3.2+3+1.8+2.4+3+1.5+1/8)/9 = 2.1694

group b is larger.

answer = b

What is the y-intercept of the graph of the function f(x) = x^2 + 3x + 5?

Answers

Answer:

(0,5)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

y=x^2 + 3x + 5

y=(0)^2 + 3(0) +5

y=0+0+5

y=5

Since there is no x coordinate for a y-intercept, the answer is (0,5)

Answer:

A. (0, -5) is the right answer on edge 2021

a man's annual salary of 580000 is increased by 15% find the new salary​

Answers

Answer:

58000 x 15= 87000

Step-by-step explanation:

you just have to multiply it by 15

Answer:

667000

Step-by-step explanation:

Have to find what 15% of 580000 is first:

580000 x 0.15 (15% as decimal --> divide by 100) = 87000

Next add what 15% of 580000 is to 580000:

580000  + 87000 = 667000

Find the volume of the composite figure below

Answers

Answer:

1386 in³

Step-by-step explanation:

Volume of the composite cone = volume of a hemisphere + volume of a cone

=>Find the volume of cone

Volume of cone = ⅓πr²h

π = 3.142

r = 7 in

h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]

h = √(225 - 49)

h = √176 ≈ 13 in

Volume of cone = ⅓*3.142*7²*13

= ⅓*2001.454 ≈ 667 in³

=>Find volume of hemisphere.

Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³

π = 3.142

r = 7 in

Volume = ⅔*3.142*7³ ≈ 719 in³

Volume of composite figure = 667+719 = 1386 in³

The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?

Answers

Answer:

C. y=2x-48

Step-by-step explanation:

A. y=48x−2

B. y=48x+2

C. y=2x−48

D. y=2x+48

Profit per hotdog=$2

Quantity=x

Cost of hotdog, buns and mustard=$48

Find the equation profit earned by the hotdog stand for x hot dog sold

Total Profit(y)=(units profits*quantity)-cost

=$2*x-$48

y=2x-48

Answer:

C. y=2x−48

Step-by-step explanation:

did it on edge 2020

help me solve this please

Answers

Answer:

70°

solution,

[tex]x = \frac{far \: arc - near \: arc}{2} \\ \: \: \: \: = \frac{250 - (360 - 250)}{2} \\ \: \: \: \: \: = \frac{250 - 110}{2} \\ \: \: = \frac{140}{2} \\ \: \: = 70[/tex]

Hope this helps..

Good luck on your assignment

PLEASE HELP ASAP
Right triangle ABC is located at A (−1, −2), B (−1, 1), and C (3, 1) on a coordinate plane. What is the equation of a circle A with radius segment AC?


A (x + 1)2 + (y + 2)2 = 9

B (x + 1)2 + (y + 2)2 = 25

C (x − 3)2 + (y − 1)2 = 16

D (x − 3)2 + (y − 1)2 = 25

Answers

Answer:

b

Step-by-step explanation:

Answer:

B) (x + 1)2 + (y + 2)2 = 25

Step-by-step explanation:

Helppp!!!! please!!!

Answers

Answer:

F. cylinder

Step-by-step explanation:

A cylinder has a circle for its base, which has no vertices and is not a polygon. This, therefore, disqualifies a cylinder as a polyhedron.

Find the perimeter for a square if one side measures: 4.5 cm

Answers

Answer:

18 cm.

Step-by-step explanation:

There are four sides on a square, and each side has the same measure as the other three. So, if one side measures 4.5 cm, four sides would be 4 * 4.5 = 4.5 + 4.5 + 4.5 + 4.5 = 9 + 9 = 18 cm

Hope this helps!

Half full of water by volume. How deep is the water in the cone if the height is 16 cm and base is 12 cm

Answers

Answer:

  8∛4 ≈ 12.70 . . . . cm deep

Step-by-step explanation:

The ratio of volumes of similar cones is the cube of the ratio of their linear dimensions. That means the height of a cone with 1/2 the volume will be ...

  ∛(1/2)

times the height of the full cone.

The water will be ...

  (16 cm)(∛(1/2)) = 8∛4 ≈ 12.70 . . . . cm deep

The revenue for a company producing widgets is given by y=-25x^2-50x+200, where x is the price in dollars for each widget. The cost for the production is given by y=25x-10. Determine the price that will allow the production of the widgets to break even.

Answers

Answer:

When they create 3.44 products and make a revenue of $76.027, they will break even.

Step-by-step explanation:

To do this, simply graph the 2 equation in a graphing calculator and analyze the graph for where the 2 graphs intersect. Discard the negative intersection because we cannot have a negative production. You should see that your intersection point is (3.441, 76.027).

Solve by factorising x^2 + 8x + 15 = 0

Answers

Answer:

See below

Step-by-step explanation:

x² + 8x + 15 = 0

x² + 5x + 3x + 15 = 0

x x (x + 5) + 3x + 15 = 0

xx (x + 5) +3 (x + 5) = 0

(x + 5) × (x + 3) = 0 → x + 5 = 0       x + 3 = 0

x = -5

x + 3 = 0

x = -5

x = -3

x1 = -5

x2 = -3

Hope this helped ! :)

The test statistic of z equals = 2.94 2.94 is obtained when testing the claim that p not equals ≠ 0.877 0.877. A. Identify the hypothesis test as being​ two-tailed, left-tailed, or​ right-tailed. B. Find the​ P-value. C. Using a significance level of alpha α equals = 0.01 0.01​, should we reject Upper H 0 H0 or should we fail to reject Upper H 0 H0​?

Answers

Answer:

Step-by-step explanation:

The claim being tested is that p not equals ≠ 0.877

A) This is the alternative hypothesis and it is a two tailed test. It means that it can be in either direction.

B)Given that z = 2.94, the p value would be determined from the normal distribution table. Since the curve is symmetrical and it is a two tailed test, the p for the left tail and the right tail would be considered. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area above the test z score in the right tail is 1 - 0.998 = 0.002

We would double this area to include the area in the left tail of z = - 2.94 Thus

p = 0.002 × 2 = 0.004

C) Since alpha, 0.01 > than the p value, 0.004, then we would reject the null hypothesis, H0

to solve the system of equations below, Zach isolated x^2 in the first equation and then substituted it into the second equation. What was the resulting equation. (x^2 y^2=25; (x^2/15-y^2/9=1 A.x^2/16-y^2-25/9=1 B.x^2/16-25-y^2/9=1 C.25-y^2/16-y^2/9=1 D.y^2-25/16-y^2/9=1

Answers

Answer:

25-y²/15 - y²/9 = 1

Step-by-step explanation:

Given the equations x^2 + y^2=25 ...1 and x^2/15-y^2/9=1,.. 2 to solve the systam of equation we will make  x^2 the subject of the formula from the first equation and substitute it into the second equation as shown;

Fom 1; x² = 25-y²... 3

Substituting equation 3 into 2 to get the resulting equation will give;

x²/15-y²/9=1

25-y²/15 - y²/9 = 1

The final expression gives the required equation.

What is the value of the angle marked with 2?

Answers

Answer:

Step-by-step explanation:

Consecutive angles cut by a common transversal are supplementary. That means that

x + 87 =180             Subtract 87 from both sides.

x+87-87=180-87

x = 93

joan invests $800 at 12 1/2% per annum compound interest monthly.What is the amount of interest at the end of the first year?

plz help me do this question?​

Answers

Answer:

Interest at the end of the first year is $105.93

Step-by-step explanation:

$800 at 12.5% APR compounded monthly.

Interest at the end of the year

= $800 *( (1+0.125/12)^12 - 1 )

= $800 * 0.132416

= $105.93

What is the length of arc ZV?

π inches

Answers

Answer:

26

Step-by-step explanation:

Answer:

Its 26

Step-by-step explanation:

Correct on edg. 2021

Mrs. Blushing makes shirts at a tailor shop. She sews 5 buttons on each shirt. She uses 10 buttons on the first day, 30 buttons on the second day, and 15 buttons on the third day. Which statement is true about the buttons Mrs. Blushing uses?

Answers

Answer:

DAY 2

Step-by-step explanation:

Line segment AB is drawn in the coordinate plane. Carlos graphed the set of points that are the same distance from both point A and point B. What did Carlos graph?

Answers

Answer:

Carlos graphed the perpendicular bisector of AB.

Step-by-step explanation:

Given a line segment AB drawn in a coordinate plane. The set of points that are the same distance from points A and B divides the line segment AB into two equal parts.

This line is referred to as the perpendicular bisector of AB.

Therefore, Carlos graphed the perpendicular bisector of AB.

PUZZLE: READ THE CLUE BELOW: CLUE 1-THE THOUSANDS DIGIT IS 8 ,WHICH IS TWO MORE THAN THE HUNDREDS DIGIT. CLUE 2- THE UNIT DIGIT IS ONE LESS THAN THE TENS DIGIT. CLUE 3-THE HUNDREDS DIGIT IS DOUBLE THE UNITS DIGIT. WHAT IS THE NUMBER?

Answers

Answer:

8,643

Step-by-step explanation:

The thousands digit is 8 so we know it is 8,000 The hundreds digit is 2 less than 8, so it's 6, giving us 8,600. The units digit is half the hundreds digit, so it is half of 6, or 3, now we have 8,603. Lastly, the tens digit is one greater than the units digit, so it is 4, leaving you with 8,643.

There are 3 red marbles for every 8 blue marbles in a huge jar of marbles. If there
are 27 total red marbles in the jar, how many blue marbles would you expect in the
jar?

Answers

Answer:

54

Step-by-step explanation:

27 divided by 3 =9 times8 = 54

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