Answers
Answer: The length of JK is 10.5 m
Step-by-step explanation:
Find the circumference C= dπ
C = 12π
C= 37.7
There are 360 degrees in a circle's circumference, so you can find the length of the arc by using the ratio of the arc to the whole circumference.
Multiply the Circumference by 100/360 (or 5/18 × 37.7)
The arc is 10.5 m
Related Questions
For the function below, (a) find the vertex; (b) find the axis of symmetry; (c) determine whether there is a maximum or a
minimum value and find that value; and (d) graph the function.
f(x) = -x2 - 6x-4
Answers
Answer:
Step-by-step explanation:
f(x) = ax² + bx + c
"x" coordinate of vertex is ( - [tex]\frac{b}{2a}[/tex] )
axis of symmetry is x = - [tex]\frac{b}{2a}[/tex]
If a > 0 the function opens upward and has minimum value.
If a < 0 the function opens downward and has maximum value.
f(x) = - x² - 6x - 4
(a). x = - [tex]\frac{-6}{-2}[/tex] = - 3 ; y = - (- 3)² - 6( - 3) - 4 = 5
Coordinates of vertex are (- 3, 5)
(b). The axis of symmetry is x = - 3
(c). The given function opens downward
y = 5 is a maximum of a given function.
Evaluate the algebraic expression for v= 1 and r = 7
6r - |-8+v|
Answers
Answer:
41
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
6r - | - 8 + v | ← substitute v = 1 and r = 7 into the expression
= 6(7) - | - 8 + 1 |
= 42 - | - 1 |
= 42 - 1
= 41
of the 24 students in Michelle's homeroom, of them rode the bus to school. How many
students in Michelle's homeroom rode the bus to school?
Answers
Which equation can be used to find 40 percent of 25?
25+ 1 25
401 40
100x4 400
40x4 16
40x4 180
25%4 100
404
100_4 25
Answers
Answer:
Yo tengo 10 años y eso da 1,190
Step-by-step explanation:
Jerry and Jo are making brownies for the bake sale.
Each pan of brownies will be cut into 18 rows with 12 brownies per row.
They plan to make 12 pans of brownies.
Choose Yes or No to tell if the equation shows the number of brownies they will make.
(12 x 18) ~ 12 = b
18 * (2 x 12) = b
18 x 12 = b
12 x (12 * 18) = b
Answers
Answer:
Yes
12 * (12 * 18) = b will give the total number of brownies to be made
Step-by-step explanation:
Here, we want to select which of the equations will give the number of brownies to be made
The total number of brownies is b
For each pan, we have 18 rows , with 12 per row
So the total number of brownies per pan is 12 * 18
Since they are making 12, the total number of brownies b will be;
12 * (12 * 18) = b
To factor 9x^2- 4, you can first rewrite the expression as:
O A. (3x-2)^2
O B. (x)^2-(2)^2
C. (3x)^2-(2)^2
D. None of the above
Answers
Answer:
D
[tex](3x - 2)(3x + 2) \\ [/tex]
What is the slope of the line below?
Answers
Answer:
The answer is the green answer choice which is 5/7.
Step-by-step explanation:
A rose bush of height `h` is planted at an initial height of 3 feet. The bush is expected to grow an average of 0.5 feet per year. How tall will the bush be 3 years after planting? Show the work that leads to your answer (either in the text box below or on the white board to the right).
Answers
Answer:
The height is 4.5ft
Step-by-step explanation:
Given
[tex]Initial\ Height = 3\ ft[/tex]
[tex]Growth = 0.5\ ft[/tex] yearly
Required
Determine the height in 3 years
First, we need to determine the growth equation.
Represent the height with h and the years with x
So:
[tex]y = Initial\ Height + Growth * x[/tex]
[tex]y = 3 + 0.5 * x[/tex]
[tex]y = 3 + 0.5x[/tex]
To solve the required, we have that:
[tex]x = 3[/tex]
[tex]y = 3 + 0.5x[/tex] becomes
[tex]y = 3 + 0.5 *3[/tex]
[tex]y = 3 + 1.5[/tex]
[tex]y = 4.5[/tex]
Hence, the height is 4.5ft
what are the solutions of x2-4x+5=0
please help!!
Answers
Answer:
The solutions to the quadratic equation are:
[tex]x=i+2,\:x=-i+2[/tex]
Step-by-step explanation:
Given the equation
[tex]x^2-4x+5=0[/tex]solving the equation
[tex]x^2-4x+5=0[/tex]
subtract 5 from both sides
[tex]x^2-4x+5-5=0-5[/tex]
[tex]x^2-4x=-5[/tex]
[tex]\mathrm{Add\:}\left(-2\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-4x+\left(-2\right)^2=-5+\left(-2\right)^2[/tex]
[tex]\left(x-2\right)^2=-1[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solving
[tex]x-2=\sqrt{-1}[/tex]
As the imaginary rule is given by
[tex]\:\sqrt{-1}=i[/tex]
so
[tex]x-2=i[/tex]
[tex]x=i+2[/tex]
solving
[tex]x-2=-\sqrt{-1}[/tex]
[tex]x-2=-i[/tex] ∵ [tex]\:\sqrt{-1}=i[/tex]
[tex]x=-i+2[/tex]
Therefore, the solutions to the quadratic equation are:
[tex]x=i+2,\:x=-i+2[/tex]
A bird is flying at a constant rate.
This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.
Which statement best describes the bird's elevation, given this equation?
The bird started at a height of 15 meters and is ascending at 8 meters per minute.
The bird started at a height of 8 meters and is ascending at 15 meters per minute.
The bird started at a height of 15 meters and is descending at 8 meters per minute.
The bird started at a height of 8 meters and is descending at 15 meters per minute.
Answers
Answer:
the answer is The bird started at a height of 15 meters and is ascending at 8 meters per minute.
Step-by-step explanation:
i know things
Answer:
the answer is A
Step-by-step explanation:
What is the length of the radius of a circle with center (10, -14) that is tangent to the line
x=13?
Answers
Answer:
length of radius of a circle = 3
Step-by-step explanation:
a tangent line touches the circle at one point
if the tangent line is at x=13 (vertical line) and the center of the circle is
(x,y) = (10,-14) with its center x at 10; then take the difference to find the radius;
x(tangent line) - x(center of circle) = radius of circle
length of radius of a circle = 13-10 = 3
you can also graph the circle and draw the tangent line to find the radius
The length of the radius of a circle as described in the question is; 14.32
The center of the circle is at; (10, -14)
The line that is tangent to the circle is; x = 13.
The coordinate of a point on the line is therefore; (13, 0)
The length of the radius of the circle can.be obtained from Pythagoras theorem as;
(Radius)² = (13-10)² + (-14-0)²(Radius)² = (3)² + (-14)²(Radius)² = 9 + 196Radius = √205Radius = 14.32Read more:
https://brainly.com/question/10443107
Which statement describes the y-intercept of the graph of a proportional relationship?
Choose the correct answer below.
A.
The line intersects the y-axis of the graph above the origin.
B.
The line intersects the y-axis of the graph at the origin.
C.
It is greater than the x-intercept of the line.
D.
It is equal to the x-intercept of the line.
Answers
Answer:
B i worked out all of them and only b can fit
The line intersects the y-axis of the graph at the origin. The correct option is B.
What is a Proportional Relationship?A proportional Relationship is when a variable is in direct variation to another variable such that on increasing one the other proportionally increases.
The equation for a proportional relationship is
y ∝ x
y =kx
where k is the proportionality constant
The equation of a straight line is y = mx +c
here c is the intercept on the y-axis
Comparing the two equations, this can be confirmed that
c = 0
Therefore, the line intersects the y-axis of the graph at the origin.
The correct option is B.
To know more about Proportional Relationship
https://brainly.com/question/12917806
#SPJ2
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answers
What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)? (5 points) a y = −3x − 2 b y = −3x + 2 c y = 3x + 2 d y = 3x − 2
Answers
Answer:
d
Step-by-step explanation:
What’s the area for this shape??????
Answers
Answer:
40cm²
Step-by-step explanation:
The formula of a trapezium is: A=1/2(a+b)h
The values are: a=6, b=10 and h=5
Therefore, to calculate the area: A=1/2(6+10)5
Hence, the area of the trapezium is A=40cm²
which ordered pair is a solution of the equation: 2y=7x-3
only 2,4
only 3,9
both 2,4 and 3,9
neither
Answers
Answer:
It is only 3,9.
Step-by-step explanation:
You need to substitute each pair into the equation to find if both side have the same answer, 3,9 is the correct answer because both sides are equal:
2(9) = 7(3)-3
18= 18
The answer is (3,9).
I hope this helps!
You kinda remind me of Joe...
Answers
Answer:
nice
Step-by-step explanation:
Answer:
ok?
Step-by-step explanation:
Based on the results of the simulation, if Sally's name is represented by diamonds, what is the probability that Sally will win
the free homework pass?
A.52%
B. 24%
C. 8%
D.16%
Answers
Answer:
Step-by-step explanation:
If she's represented by diamonds, then that's 2/25 which is 8%, C
Answer:
Step-by-step explanation:
8%
Help me please!!!!
Adrienne and Suki simplified the expression -(8) - (-6). Their work is shown
below. *
Adrienne's Work
Suki's Work
-8-(-6)= -14
-8-(-6)=-2
A. Whose answer is correct?
B. Explain the error the other person made.
Your answer
Answers
Answer:
im pretty sure it would be -8-(-6)=-2 for the first one
Roberto has run the first 16 miles of a race, which means he is 72% finished. How long is the race?
Answers
Answer:
approximately 22.2 miles
Step-by-step explanation:
16mi/72% =xmi/100%
72x=1600
x=22.2222222.....
Answer: 22.2 miles
Step-by-step explanation:
Elijah needs to lease out a music studio to record his new album the studio charges and initial studio-use fee plus an hourly fee for each hours in the studio let P represent the total amount of money Elijah would have to pay to use the studio four t hours A graph of P is shown below write an equation for P then state the Y intercept of the graph and determine its interpretation in the context of the problem
Answers
Answer:
100+50t
Step-by-step explanation:
Answer:
P = 100+50t
The y-intercept of the function is 100 which represents the initial fee of using the studio.
Mr. Morgan invested $20,000 in an account earning 4.5% annual interest. How many years would it take for him to earn 5400 in a simple interest
Answers
£20,000 x 0.045 = £900
£5,400 / £900 = 6 years
- 5.2-(-3.1) + 5.2
I
Answers
Answer:
7.3 I think
Step-by-step explanation:
5. Choose the equation of a line that is perpendicular to the given line and that passes through the given
point.
4x - 12y = 2; (10,-1)
A.) y=3x + 29
B.) y=--x+29
3
C.) y=-3x + 29
D.) y=--x+7
Answers
Answer:
Step-by-step explanation:oh
Frank marry and seth shared some sweets in the ratio 4:5:7 seth got 18 more sweets than frank work out the total number of sweets shared(pleez answer im in a crisis)
Answers
Answer: 96
seth got 18 more than frank
in terms of ratio he got 3 more than frank
this means that 3 is equal to 18
so we find the whole ratio to fing the total
A baseball team had $250 to spend on supplies. The team spent $46.25 on a new bat. New baseballs cost $2 each. The inequality46.25+2b≤250 can be used to determine the number of new baseballs, b, that the team can purchase.
Answers
Answer: 101
[tex]\leq 46,25+2b\leq 250\\\\=> 2b\leq 250-46,25=203,75\\\\<=> b\leq 203,75/2=101,876[/tex]
but b is the number of new baseballs
=> [tex]b\leq 101[/tex]
=> the team can purchase 101 baseballs
Step-by-step explanation:
NEED HELP PLEASE!!! Lionel created a scatter plot and drew a line of best fit, as shown.
What is the equation of the line of best fit that Lionel drew?
Answers
Answer: A.
Y=-2x+16
Step-by-step explanation:
You gotta find the pretty points on the line of the linear function. Then you have to find the slope (rise over run) with those pretty points. Then you have to use a coordinate (I used 6,4) to find the y intercept. Then you solve the equation, by plugging in all the numbers :) hope this helps.
6,857 my lessons my stuf The Pythagorean Theorem What is the distance between the points (22,21) and (26,24)?
Answers
Answer:
the distant between 20,21 is 1. and the distant between 26,24 is 2.
Step-by-step explanation:
1. 21-20=1
2. 26-24=2
hope this helps
What is the slope of the line that contains the points (-2, 2) and (3, 4)?
A.
O B. -
O c.
OD.
Answers
Answer: m = 2/5
Step-by-step explanation:
The formula for the slope is m = rise over run = y^2 - y^1 / x^2 - x^2
which makes it 4-2 over 3-(-2) which equals 2/5
Youre answer is 2/5
Answer:
The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.
Step-by-step explanation:
The slope of a line is denoted by m and is calculated using the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here
[tex](x_1,y_1)[/tex] are the coordinates of the first point on line and
[tex](x_2,y_2)[/tex] are the coordinates of the second point on line
Given two points are:
(x1,y1) = (-2, 2)
(x2,y2) =(3, 4)
Putting the values in the formula
[tex]m = \frac{4-2}{3-(-2)}\\m = \frac{2}{3+2}\\m=\frac{2}{5}[/tex]
Hence,
The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.
Jimmy and Lauren are
organizing transportation for
a field trip from ACIT. Jimmy
found out that his group has
841 students, and he needs 9
vans and 16 buses to
accommodate. While Lauren’s
group has 351 students, and
she needs 8 vans and 5 buses
for them. How many students
fit in a van and a bus for this
field trip? (please include steps)
Answers
Step-by-step explanation:
Jimmy's group : has 841 students
Lauren's group: has 351 students
9 vans 16 buses
8 vans 5 buses
Vans: V
Buses: B
9v + 16b = 841
9v + 16b = 841
-16b -16b
9v/ 9 = 841 /9 - 16b/9
8( 841/9 - 16b/9) +5b = 351
v - (841/ 9 - 16b / 9 )
8 (841 / 9 - 16b/9) +5b = 351
6728/9 - 128b / 9 +5b = 351
-128b/9 + 45b/9 = -83/9b
6728/9 -83/9
- 6728/9 +83/9 = 3159/9 - 6728/9
(9)83b / 9 = -3569 (9)/9
-83b = -3564
-83 -83
B = 43 students
8v + 5b = 351
8v + 5 (43) = 351
8v + 215 = 315
-215 -215
8v = 136
8 8
V = 17 students
43 students can fit on a bus and 17 students can fit in a van.