Consider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°. Circle O is shown. Line segments B O, A O and C O are radii with length 8 centimeters. The length of arc B A is 8.4 centimeters. Angle A O C is 45 degrees. Rounded to the nearest whole degree, what is the measure of angle BOA? ° Rounded to the nearest tenth of a centimeter, what is the length of arc BAC? cm

Answers

Answer 1

Answer:

i) 60°

ii) 14.7 cm

Step-by-step explanation:

length of Arc BA = 8.4 cm

length of radius = 8 cm

angle AOC = 45°

BO = AO = CO = 8 cm

i) What is the measure of Angle BOA

= length of Arc BA  / Radius

= 8.4 / 8  = 1.05 radians = 60.16° ≈ 60°

ii) what is the length of arc BAC

= radius * angle BAC  * [tex]\pi /180[/tex]

angle BAC = angle AOC + angle BOA

                  = 45° + 60° = 105°

hence length of arc BAC

= 8 * 105 * [tex]\pi /180[/tex]

≈ 14.7 cm

Consider Circle O Below. The Length Of Arc BA Is 8.4 Cm And The Length Of The Radius Is 8 Cm. The Measure
Answer 2

Answer:

Rounded to the nearest whole degree, what is the measure of angle BOA?

60

°

Rounded to the nearest tenth of a centimeter, what is the length of arc BAC?

14.7

Step-by-step explanation:

edge 2021


Related Questions

The total cost of a tablet device comprises the cost of material, labour and overheads in the ratio 3:4:1. The cost of material is $315. What is the total cost of the tablet?​

Answers

Answer:

The total cost of the tablet is $840

Step-by-step explanation:

Here, we want to calculate the total cost

Let the total cost be $x

From the ratio, the total ratio is 3 + 4 + 1 = 8

so,;

3/8 * x = 315

3x = 8 * 315

x = 8/3 * 315

x = 8 * 103

x = 840

Find the missing angle.

Answers

31 degrees (vertically opposite angle)
31, they are opposite angles so they are equal

4a − 3 = 9 + a..........................

Answers

Answer:

[tex]4a - 3 = 9 + a \\ 4a - a = 9 + 3 \\ 3a = 12 \\ a = \frac{ 12}{3} \\ a = 4[/tex]

I hope this help

The sum of the digits of a two-digit number is 10. When the digits are reversed, the number decreases by 36. Find the original number

Answers

we have a 2-digit number where the sum of the digits is 10. If we then take the 2-digit number and subtract 36 we get the 2-digit number, reversed.

The 2-digit number can be represented as 10a + b. And we know a + b = 10. We also know that 10a + b - 36 = 10b + a. Arranging gives us 9a - 9b = 36. And then divide by 9 gives us a - b = 4. Now we have a + b = 10 and a - b = 4. Adding those together gives us 2a = 14 and then a = 7. Following that b is 3. This means that the 2 digit number we’re looking for is 73.

What is the value of x?
3
6
8
4​

Answers

I believe x=4

and the y=3

Answer:

x = 4

y = 3

Step-by-step explanation:

2 × 4 = 8

8 + 10 = 18

2 × 3 = 6

6 + 4 = 10

The letters for the word SCHOOL are placed in a hat. What is the probability of drawing the letter o out of the hat?

Answers

Answer: 2/6 or 1/3

Step-by-step explanation:

SCHOOL has 6 letters in it and two O's. Therefore, it would be 2/6 or simplified it would be 1/3.

That was FUN!

h(x) = -2(x - 2)(x +1)
In standard form? Help???

Answers

Answer:

[tex]h(x)=-2x^2+2x+4[/tex]

Step-by-step explanation:

h(x) = -2(x - 2)(x +1)

Standard form: [tex]h(x)=-2x^2+2x+4[/tex]

40+40×0+1

a) 1

b)41

c)82

??​

Answers

Answer:

the law of bodmas multiplication first so

40+(40*0)+1

40+1

41

2x + 3 > 13

Whats the answer plz help

Answers

Answer:

In this case, you can simply treat the > sign like an = sign.  The only time you would need to worry about is when multiplying or dividing by negative numbers.

2x + 3 > 13

2x + 3 - 3 > 13 - 3

2x > 10

2x / 2 > 10 / 2

x > 5

A tank that is 40% full contains 648 gallons of water. How much water is in the tank when the tank is at full capacity (100%)?

Answers

Answer: 1620 gallons of water

Step-by-step explanation:

Let the water that is in the tank when the tank is at full capacity be represented by x.

Therefore, 40% of x = 648

40% × x = 648

40/100 × x = 648

0.4 × x = 648

0.4x = 648

x = 648/0.4

x = 1620

The answer is 1620 gallons

Sarah hired a painter to paint her bedroom walls and ceiling. Each of the four bedroom walls is 18 ft. Long and 8 ft. High. Two walls each have one door, and both doors measure 3 ft. By 7 ft. One wall has a window that is 3 ft. By 5 ft. The doors and window do not have to be painted. A gallon of paint can cover 300 ft.2. A hired painter claims that he will need three gallons to paint the one room. Is the estimate correct?

Answers

Answer:

The estimate is not correct?

Step-by-step explanation:

Given data

Area of wall = 18*8

=144ft^2

=4*144

=576ft^2

Area of doors

=3*7

=21ft^2

=2*21

=42ft^2

Area of window

=3*5

=15ft^2

Hence the total surface area of the room

=576-42-15

=519ft^2

The amount of paint needed= 519/300= 1.73

Approximately 2 gallons

We are told that 1 gallon will cover 300ft^2

Hence 3 gallons will cover 300*3= 900ft^2

Therefore the painter overestimated the amount of paint needed

As 2 gallons will do the job

Are vacuoles small or large? PLS HELP I NEED THIS ANSWER FAST!

Answers

Answer:

large

Step-by-step explanation:

3/4 divided by 1/3 plz I need it

Answers

Answer:

0.25

Step-by-step explanation:

On a flight from San Diego to Baltimore 18 of 156 seats on empty. What is the ratio of filled seats to empty seats on the flight

Answers

Answer:

Step-by-step explanation:

Lydia invested $83,000 in an account paying an interest rate of 6.7% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $210,100?

Answers

Answer:

14

Step-by-step explanation:

 

The required time for Lydia's account to reach $210,100 is 13.9 years.

What is compound interest?

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

First, convert R as a percent to r as a decimal

r = R/100

r = 6.7/100

r = 0.067 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(210,100/83,000) / ( 12 × [ln(1 + 0.067/12)] )

t = ln(210,100/83,000) / ( 12 × [ln(1 + 0.0055)] )

t = 13.9 years

Thus, the required time for Lydia's account to reach $210,100 is 13.9 years.

Learn more about compound interest here: https://brainly.com/question/14295570
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Which of the following shows the extraneous solution to the logarithmic equation below?

2 log Subscript 5 Baseline (x + 1) = 2
x = negative 6
x = negative 4
x = negative 2
x = negative 1

Answers

Answer:

A.-6

Step-by-step explanation:

on edg

Answer:

A) -6

Step-by-step explanation:

Please Help! Brainliest Answer! Thank you

Answers

Answer:

Step-by-step explanation:

Since WV || XY, V and Y are same side int. angles

same side int angles add up to 180

V+Y=180

subst -> 60+V=180

V=120

V + Y = 180 degrees

V + 60 = 180 degrees

Solve for V

Angle V = 120 degrees

A student is constructing a triangle with the following dimensions:

side length of 10 inches

side length of 30 inches

Which measurements could be the length of the third side? Select all that apply.
19 inches
21 inches
35 inches
45 inches
50 inches

Answers

Answer:

JKBUKKJHKK

Step-by-step explanation:

GYHBGKJHUJUGJ

Answer:

The answer would be 19inches, 50 inches.

i dont knw if its right or not,

but i hope this helps u.

Step-by-step explanation:

please help! Simplify the polonomial​

Answers

Answer:

14[tex]s^{4}[/tex] - 7s² + 15

Step-by-step explanation:

Given

(12[tex]s^{4}[/tex] - 6s² + 4s) + (6[tex]s^{4}[/tex] - 4s + 27) - (4[tex]s^{4}[/tex] + s² + 12) ← distribute parenthesis

= 12[tex]s^{4}[/tex] - 6s² + 4s + 6[tex]s^{4}[/tex] - 4s + 27 - 4[tex]s^{4}[/tex] - s² - 12 ← collect like terms

= 14[tex]s^{4}[/tex] - 7s² + 15

If there are 365 days in one year then how many days are there in 5 years?

Pls telll....​

Answers

1825 days in 5 years

12
Jack burned 150 calories on the elliptical and
210 calories on the treadmill. What is the ratio
of calories burned on the elliptical to calories
burned on the treadmill? Write the ratio on
simplest form.




please help !!

Answers

Answer:

5:7

Step-by-step explanation:

150:210

50:70

5:7

(Ratio has been simplified)

What does the value of the mean absolute deviation tell you about the spread of the data? HURRY PLEASE ILL GIVE 35 POINTS

Answers

Answer:

The Mean Absolute Deviation (MAD) of a set of data is the average distance between each data value and the mean. The mean absolute deviation is the "average" of the "positive distances" of each point from the mean. The larger the MAD, the greater variability there is in the data (the data is more spread out).

Step-by-step explanation:

Ed's new car has a value of $23,500, but it is expected to depreciate at a rate of 7.5% per year. If you were to write an exponential decay function to represent this situation, what would the decay factor be?

Answers

Answer:

0.925 or 92.5%

Step-by-step explanation:

y=a(1-b)^x

decay factor is 1-b <- and the part we care about

b is 7.5%=0.075

1-0.075

=0.925

I'm a little rusty on exponential rates, but I hope this helps!

The decay factor for the car will be equal to 0.925 or 92.5%

What is an exponential expression?

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be written as 2 x 2x 2 x 2=25 for the number 32. This phrase should be understood as "two to the fifth power."

Given that Ed's new car has a value of $23,500, it is expected to depreciate at a rate of 7.5% per year.

The decay factor will be calculated as,

[tex]y=a(1-b)^x[/tex]

b is 7.5%=0.075

Decay factor = 1-0.075

Decay factor = 0.925

To know more about exponential expression follow

https://brainly.com/question/12940982

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Help me please
Which of the following best describes π?
A. The ratio of the radius of a circle to its diameter
B. The ratio of the circumference of a circle to its radius
C. The ration of the circumference of a circle to its diameter
D. The ratio of the diameter of a circle to its radius

Answers

Answer:

Step-by-step explanation:

The ratio of the circumference to its diameter.

the proportion can be written this way

Circumference / diameter = pi / 1

Solve for x. Round to the
nearest tenth.
15
26°

Answers

Is there a pic I can look at

plz help me with my work​

Answers

Answer:

the answer is B

Step-by-step explanation:

I think it’s B!!! Let me know if i’m wrong:) And have a goodnight!!

James ran 3 kilometers after school. How many meters did James run?

Answers

Answer:

3000meters

Step-by-step explanation:

3×1000= 3000

Answer: 3000 Meters

Step-by-step explanation:

There are 1000 meters in a kilometer.

Multiply that by 3 and get 3000

What is the answer for the wuesy

Answers

Answer:

22

Step-by-step explanation:

6 divided 6 equals 1 and 1 times 22 equals 22

Brainliest ?

PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!

Answers

Answer:

120

Step-by-step explanation:

First we can find the value of each exterior angle

The sum  of the exterior angles is 360

because a hexagon has 6 congruent exterior angles we divide 360 by 6

360/6=60 so each exterior angle is equal to 60 degrees

the exterior angle and interior angles of any regular polygon are supplementary angles ( meaning the sum of the two is 180) so to calculate the interior angle we subtract 60 from 180

180-60=120 so each measure of the interior angle of a hexagon is 120 degrees

Simplify.
9y-2y



Hehhe can someone help me

Answers

7y! they are like terms :p
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