Circle O has a radius of 5 centimeters and central angle AOB with a measure of 60°. Describe in complete sentences how to find the length, in terms of a radian measure, of AB.
Answer:
We can use the formula for finding arc length given ccx central angle and radius.(insert formula below) We then substitute 5 in for r and and 60 for x. We multiply 2 pi times 5 which gives us 10. We then reduce the fraction of 60/360 to 1/6. We multiply 10 pi by 1/6 and that gives us
10 pi/6 or 5 pi/3
Step-by-step explanation:
We can use the formula
[tex]2\pi \times r( \frac{x}{360} )[/tex]
to find the arc length where r is the radius.
and x is the arc measure.
Plug it in for the numbers
[tex]2\pi \times 5( \frac{60}{360} )[/tex]
Multiply 2 pi times 5=10 pi
[tex]10\pi( \frac{60}{360} )[/tex]
Simplify 60/360 to 1/6
[tex]10\pi \times \frac{1}{6} = \frac{10\pi}{6} [/tex]
Reduce it to
[tex] \frac{5\pi}{3} [/tex]
Kaitlin purchased a prepaid phone card for $20. Long distance calls cost 11 cents a minute using this card. Kaitlin used her card only once to make a long distance call. If the remaining credit on her card is $15.82 , how many minutes did her call last?
Answer: 38 minutes
Step-by-step explanation:
angle 9 and angle 10 are corresponding and complementary angles formed by two parallel lines cut by a transversal. find m angle 9
Answer:
45 degrees
Step-by-step explanation:
if <9 and <10 are corresponding, it means they are equal i.e <9 = <10
Since <9 and <10 are also complementary angles, their sum will be 90 degrees
<9+<10 = 90
<9 + <9 = 90
2m<9 = 90
m<2 = 90/2
m<2 = 45 degrees
Hence the measure of angle 9 is 45 degrees
Write as an algebraic expression.
1. the sum of m and 8
Answer: m+8 =
Step-by-step explanation:
A car was reduced in price by 13% to £17400 what was original price
Which expressions are equivalent to -2(5x-3/4)
1. -2(5x)+(-2)(-3/4)
2. -10x-3/4
3. -10x+6/2
4. -10x+3/2
5. -10x-6/2
Answer:
1, 4
Step-by-step explanation:
Anyone know this answer? Will give brainliest if correct
Answer:
use photomath
Step-by-step explanation:
The mean average of 4 numbers is 88 what is the fourth number if three of the numbers are 80 95 and 85?
Answer:the fourth number is =97
Step-by-step explanation:
Mean = total number of the given numbers( x1 +x2+ x3....) / numbers given
Let the fourth number be x
given that the mean of 4 numbers = 88 and only 3 numbers are given
such that
Mean = total number of the given numbers( x1 +x2+ x3....) / numbers given becomes
88= (80 +90 + 85 + x ) / 4
88 x 4 =80 +90 + 85 + x
352=255+x
x= 352-255
x=97
(14 plus 42)divided by 7plus4 to the 2power
Answer:
Given info in numersical form:
(14+42)÷(7+4)²
= 56÷11²
= 56÷(11×11)
= 56÷121
= 0.46
Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.
Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Step-by-step explanation: the strat would eliminate a variable in this system
The telephone company purchased 192 yards of wire for $2,304 in January. They
plan on making a purchase of 400 yards in February. How much will the February
purchase cost?
Answer:
Step-by-step explanation:
400yd($2304/192yd)=$4800
Answer:
400 yards of wire will cost $4,800
Step-by-step explanation:
First find the cost per yard of wire by using the equation 2,304/192 which equals 12/1, which is $12 per yard of wire. Next multiply that by 400 to get $4800, which is the total February purchase cost.
Only hash channel catfish typically was about 0.06 g during the first six weeks of life at weight increase about 10% each day right a exponential model for the weight how much will the catfish gain weight after six weeks
Answer:
3.225 gram
Step-by-step explanation:
Given that :
Initial weight = 0.06g
Rate of increase, r = 10% = 0.1 per day
Weight gain after 6 weeks
For an exponential model. f(x)
f(x) = a(1 + r)^x
Where ; a = initial amount ; r = growth rate ; x = period
Our model becomes :
f(x) : 0.06(1 + 0.1)^x
f(x) = 0.06(1.1)^x
Number of days in 6 weeks = 6*7 = 42 = x
f(42) : 0.06(1.1)^42
= 3.285 gram
Hence, weight gain after 6 weeks :
(3.285 - 0.06) g = 3.225 gram
If D varies directly with t and D is 105 when t is 3, find D when t is 8.
Answer:
280
Step-by-step explanation:
answer is 280
Answer:
answer is 280
Step-by-step explanation:
d=xt
105=x3
35=x
d=35*8
d=280
A tube of toothpaste is marked $3.92 for 8 ounces. What is the price per ounce?
Answer:
$0.49
Step-by-step explanation:
If the tube is 8 ounces and is priced at $3.92, then one ounce would be $3.92/8 =
$0.49
Pitágoras filósofo matemático griego biblio entre los años 500 8496 antes de Cristo A qué edad murió y cuántos años hace que murió
Answer:
if you can transfer to englis i may be able to help
Step-by-step explanation:
A rectangular prism has a base with an area of 13 square units and a volume of
109.2 cubic units. The equation shown gives the height, h, in units, of the prism.
13h = 109.2
What is the height, in units, of the prism?
Answer:
Isolate the variable and simplify.
Step-by-step explanation:
13h = 109.2
h = 109.2 ÷ 13
h = 8.4
Your answer would be 8.4 units.
Don't forget units! :)
Sum1 plsssss help plssss
Answer:
The answer is 2/3 divided by 2/9= 3
Step-by-step explanation:
Determine the average rate of change from x = 0 to x = 4
Answer:
I'm super bad at math sowy!!!
Step-by-step explanation:
\(T T)/
If triangle DEF is dilated by a scale factor of 1/2 with center of dilation at the origin
(0,0), what is the x-coordinate of E'?
Please help 20 points
Answer:
(4,2)
Step-by-step explanation:
I am not able to see your screen well but these are the points that I saw in the beginning for E. 8,4. Your x value is either left or right and your y value is up and down. I saw 8 units right and 4 u it's up. Now your scale factor is 1/2. Remember if the scale factor is less than one the figure reduces. Our rule for dilations is (x,y) → (kx,ky). The scale factor is represented by K. Since your scale factor is 1/2 we know our triangle will reduce. Let's plug 1/2 in our x and y valued.
So E is (8,4). 8*1/2 is 4 and 4* 1/2 is 2. Are new points are E' (4,2).
A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?
A triangle with the same height as the pyramid
A square that is smaller than the base
A square that is congruent to the base
A trapezoid that is shorter than the pyramid
Answer:
I think the answer is a because it not getting any smaller
Answer:
I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.
Step-by-step explanation:
In AABC, AB = AC and measure of ZABC is 41°. The measure of ZBAC is
degrees.
Answer:
Cant see the pic
Step-by-step explanation:
helpppppppppppppppppppppppp WILL MARK BRAINLIST
Find the nth term of the sequence
0, 5, 14, 27, 44......
Answer:
aₙ = 2*n*n - n -1
Step-by-step explanation:
a₁ = 0
a₂ = 5 = 2*2*2 -2-1 = 8-3 = 5
a₃ = 2*3*3 -3-1 = 18-4 =14
a₄ = 2*4*4 - 4-1 = 32-5 =27
......
aₙ = 2*n*n - n -1
5. A rectangle with length 8 cm and width 5 cm is dilated by a scale factor of 3. What are the perimeter and area of the image?
Answer:
The area is 120
The perimeter is 78
Step-by-step explanation:
To find area you have to multiply length x width.
(8x5)
To find perimeter you have to find the length of all the sides and add them
together. To find perimeter of a shape you do length x2 + width x2
(8x2 + 5x2)
Then you need to find the scale factor.
A scale factor of 3 is 3x the size of the original shape
Remember to press Thanks
The graph below shows the solution to which system of inequalities
Answer:
C. y </ 3/4x +10 and y<l -1/2x - 3
Step-by-step explanation:
Basically first do process of elimination with your focus on one equation
for example :: ( >l is greater then or equal to and <l is lease then or equal to)
focus -> y >l 3/4x + 10
1) determine which line has the y-intercept of positive 10
2) is the line dotted or straight? dotted line = > or < while straight line = >l or <l
this should get rid of B and D now
3) remember this = if the slope is - then the shaded portion would be the way that the less then sign is pointing
( y <l -4x then the shaded portion would be on the left side )
remember again = if the slope is + then the shaded portion would be the way that the greater then sign is pointing
( y <l 4x then the shaded portion would be on the right side )
so the line that we are focused on would have the right side shaded which means that it would be a <l ,so the answer would be C
hope this helped you understand how to solve these a bit better!
(tbh the day I figured how to solve these problems, I swear the whole world turned 180 degrees for me. )
3(s +1) = 33
What is the value of s?
Answer: the value would be 3
Step-by-step explanation:
I did the worksheet for math!
Answer: s = 10
Step-by-step explanation:
3(s + 1) = 33
I 3 x s = 3s I 3 x 1 = 3 I
3s + 3 = 33
- 3 - 3
__________
3s = 30
/3 /3
s = 10
look at the graph of a line and write its equation
need help...............
Answer:
f^3 + 5f^2 +12f +8
Step-by-step explanation:
Last week, the price of oranges at the farmer’s market was $1.75 per pound. This week, the price has decreased by 20%. What is the price of oranges this week?
Graph the numbers that are solutions to x+7>9 and 8x≤64.
Answer:
2 to 8 and 8 to -2
Step-by-step explanation:
Solution to these set of inequalities is : 2 < x < 8
Important Information
x + 7 > 9
x > 9 - 7
x > 2
8x < 16
x < 16/2
x < 8
So, numbers that satisfy the conditions that 2 < x < 8 are solutions to this set of inequalities.
To learn about inequalities' equations solving, refer https://brainly.com/question/11897796?referrer=searchResults