If a circle has a radius of 16,and an arc length of 12x, what is the angle measure of the central angle that matches that arc?
(Note, the picture below is not drawn to scale, don't hold a protractor up to your screen)
Answers
Answer:
135°
Step-by-step explanation:
Using S = rA, where S is arc length, r is radius and A is angle(in radians).
Comparing:
=> 12 = 16A
=> 12/16 = A
=> 3/4 = A
Required radian is 3/4 which is 3/4 * 180° = 135°
Related Questions
19,X, 4, 12,4
mean=11
X=
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Statistics
Vocabulary
-------------------------
Mean is the average of a data set.
Find the Mean by adding all numbers and dividing by how many numbers there are in the data set.
19+4+12+4+x/5
Combine Like Terms.
39+x/5=11
Use random x values to determine x.
39+16=55
55/5=11
x=16
Insert x into the equation to make sure you're correct.
19+16+4+4+12=55
55/5=11
The graph of y = x2 + 11x + 24 is equivalent to the graph of which equation?
y = (x + 8)(x + 3)
y = (x + 4)(x + 6)
y = (x + 9)(x + 2)
y = (x + 7)(x + 4)
Answers
Answer:
y = (x+8)(x+3)
Step-by-step explanation:
The equivalent expression to the given quadratic equation is:
y = (x + 8)*(x + 3).
Which equation is equivalent to the given one?Here we start with:
[tex]y = x^2 + 11x + 24[/tex]
To solve the problem, we need to find the roots of the quadratic equation, to do it, we will use the Bhaskara's formula:
[tex]x = \frac{-11 \pm \sqrt{11^2 - 4*24} }{2} \\\\x = \frac{-11 \pm 5 }{2}[/tex]
Then the two solutions are:
x = (-11 + 5)/2 = -3x = (-11 - 5)/2 = -8Meaning that we can write the cuadratic equation as:
y = (x + 3)*(x + 8).
So the correct option is the first one.
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ2
Ivan draws PQR on the coordinate plane.
What is the perimeter of PQR? Round to the
nearest unit.
Answers
Answer:
Perimeter of PQR = 37 units (Approx.)
Step-by-step explanation:
Using graph;
Coordinate of P = (-2 , -4)
Coordinate of Q = (16 , -4)
Coordinate of R = (7 , -7)
Find:
Perimeter of PQR
Computation:
Distance between two point = √(x1 - x2)² + (y1 - y2)²
Distance between PQ = √(-2 - 16)² + (-4 - 4)²
Distance between PQ = 18 unit
Distance between QR = √(16 - 7)² + (-4 + 7)²
Distance between QR = √81 + 9
Distance between QR = 9.48 unit (Approx.)
Distance between RP = √(7 + 2)² + (-7 + 4)²
Distance between RP = √81 + 9
Distance between RP = 9.48 unit (Approx.)
Perimeter of PQR = PQ + QR + RP
Perimeter of PQR = 18 + 9.48 + 9.48
Perimeter of PQR = 36.96
Perimeter of PQR = 37 units (Approx.)
What is the geometric mean between 4 and 16? *
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Answer:
8
Step-by-step explanation:
whats this shape help I'm struggling
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Answer: It is a rectangle.
Step-by-step explanation: 2 rectangles of different sizes are being in top of each other.
An equation of the line passing through the points (4,3) and (-1,1)
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A = ( 4 , 3 ) ..**&**.. B = ( - 1 , 1 )
_____________________________
Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]
Slope = [ 1 - 3 ] ÷ [ - 1 - 4 ]
Slope = [ - 2 ] ÷ [ - 5 ]
Slope = 2/5
______________________________
y - y(0) = Slope × ( x - x(0) )
y - y(A) = Slope × ( x - x(A) )
y - 3 = 2/5 × ( x - 4 )
y - 3 = 2/5 x - 8/5
y = 2/5 x - 8/5 + 3
y = 2/5 x - 8/5 + 15/5
y = 2/5 x + 7/5
(I'm probably spammy lol)
More babes-
I just need help, like point me in the right direction, something.
I'm so tired-
Answers
Answer:
x= 9
Step-by-step explanation:
85 + 2x +2 + {180 -(11x + 6) }=180 (sum of angles in a triangle)
87 + 2x + 180 - 6 -11x = 180
87 -9x - 6 = 0
81 = 9x
x= 9
In circle O, AE and DC are chords and intersect at B. If arc AC is 36 degrees and arc DE is 20 degrees, what is the measure of angle ABC? (Type in numbers only)
Answers
Answer: 28
You add 36 and 20 and divided it by 2
The graph compares the weights in pounds of 100 dogs and cats that are brought in to a veterinarian's office.
Two box and whisker plots showing weights of cats and dogs on a number line from 0 to 100. The upper plot represents the dog weights. For this upper plot, the minimum number is 10, the maximum number is 95, the right side of the box is 70, the left side of the box is 35, and the bar in the box is at 50. The lower plot represents cat weights. For this lower plot, the minimum number is 1, the maximum number is 18, the right side of the box is 13, the left side of the box is 6, and the bar in the box is at 10.
How many more dogs than cats were over 10 pounds?
10
30
50
100
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Answer:
100
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!
Answers
Answer:
1
Step-by-step explanation:
The problem is basically asking us to find the value on the graph corresponding to the x value of 1. We can draw a line with the equation x = 1(or just trace your finger up) to see that when x = 1, the output of the function is at the value 1 as well(the y value).
Find the simple interest earned for the account
$300 at 13% annual interest for 9 years
Answers
9514 1404 393
Answer:
$351
Step-by-step explanation:
Use the simple interest formula for this.
I = Prt
where P is the invested amount at annual rate r for t years.
Using your values, we find the interest to be ...
I = $300·0.13·9 = $351
The account will earn #351 in interest over 9 years.
i really need help!! please! 10 points
Answers
Answer:
48°
Step-by-step explanation:
The angle CRS looks like a "L" shape, meaning that both lines are perpindicular to each other, resulting in a right angle (which is 90°)
90° + 42° = 132°
180° - 132° = 48°
Answer:
<RCS = 48 degrees
Step-by-step explanation:
I'm pretty sure that is a right triangle
180-90-42=48
Find the 69th term of the arithmetic sequence -13, -33, -53, ...
Answers
Answer:
-1,373
Step-by-step explanation:
a69 = -13 + (69-1)(-20)
= -13+(68)(-20)
= -13 - 1,360
= -1,373
Answer:
-1373
Step-by-step explanation:
GIVEN :-
A.P. = -13 , -33 , -53 , ...TO FIND :-
69th term of A.P.FACTS TO KNOW BEFORE SOLVING :-
Lets say there's an A.P. whose :-
First term = aCommon Difference = dTotal number of terms = nnth term = aⁿFormula for finding nth term of A.P. = aⁿ = a + (n - 1)d
SOLUTION :-
According to the question ,
First term = -13Common difference = -33 - (-13) = -20Number of terms needed to find = 69By using the formula for finding nth term ,
69th term of A.P. = -13 + (69 - 1)×(-20) = -13 + (-1360) = -1373
NEED HELP ASAP PLEASE!!!!A symmetrical canyon is 4850 feet deep. A River runs through the canyon at its deepest point. the angle of depression from each side of the canyon to the river is 60. Round to the nearest tenth. Whats the Distance across the canyon? whats the Length of the canyon wall from the edge to the river? Is it more or less than a mile across the canyon?
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Answer:
what is the formulae for finding a circle
If a point C is inside
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Sam has a rectangular rug with an area of 50 square feet. The rug is 5 feet longer than it is wide. What is the width of the rug?
O A. W = 5 feet
O B. w = 6 feet
OC. w = 12 feet
OD. w = 4 feet
Answers
We know the area = length x width.
We know length = w + 5.
5 + 5 = 10, multiplied by 5 = 50
It’s not B, because 6 + 5 = 11, and 11 x 6 = 66
It’s not C, because 12 + 5 = 17, and 17 x 12 = 204
It’s not D, because 4 + 5 = 9, and 9 x 4 = 36
Think of 5 positive integers that have a mode of 2, a median of 5, a mean of 6 and a range of 10.
Answers
Step-by-step explanation:
2 2 5 9 and 12
mode= 2
median = 5
Range : 12- 2 =10
Mean: 2+2+ 5+ 9+ 12=30
30÷ 5 = 6
whats the answer to 876 + 17.2638
Answers
893.2638
is this what you mean?
Write the equation of the line in fully simplified slope-intercept form.
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...................
which of the following polynomials is in standard form? (PICTURE)
Answers
Answer:
D) exponents are in decreasing order
Step-by-step explanation:
what is the value of x??
Answers
Answer:
x + 5 = 5×
7x - 5 = 2x
5x + 2x + x = 180
8× = 180
8 8
x = 22.5
-8 * 2/3 answer as a fraction
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Answer:
-8 x 2/3
=–16/3.
or -5⅓
Have a great day!
Could someone pls help with this :-)
Answers
Answer:
A. y = -f(x+1)
Step-by-step explanation:
_______________
ANSWER ASAP!!!!!!!!!
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2a2 + 3b2 + a2 + b2
Answers
Answer:
Solution given:
2a2 + 3b2 + a2 + b2
adding like terms
2a²+a²+3b²+b²
3a²+4b² is a required answer.
Write a short para based on how the pandemic has affected travelling.
Answers
Answer:
Unlike many of history’s great tragedies, the coronavirus pandemic never stunned us with one catastrophic event. Instead, the deadly problem quietly snaked its way around the world, devastating millions as it grew into a global health crisis since it first surfaced in November.
Our realities shifted slowly at first, and before we knew it, the coronavirus took over completely.
As we closed borders, canceled events and self-quarantined at home on a mass scale, the travel industry, as well as most other sectors, began to nosedive. The collective effort to save lives meant economic catastrophe for an industry that profits from people leaving their houses.
The wound inflicted by the pandemic on the travel industry is deep, and it hasn’t stopped bleeding yet.
In a May 20 call with analysts, Royal Caribbean Cruises chief executive Richard Fain recalled how drastically travel changed after the 9/11 terrorist attacks — and how the “new normal” eventually just became normal. He expects to see a similar phenomenon in the post-coronavirus world.
sorry it didnt let me send it so i took a lictire of it stay safe out there in the world wherever you are to let you know god is with you all the time if your in fear pray to him and he will take the fear away from you. anyways, stay safe and love you all!❤
Please someone help with this cone volume please
Answers
Answer:
the answer is
235.62m^3.
If 4 + x = −3 + 2x, then 9x =_____?
Answers
Answer:
4+x=-3+2x
4+3=2x-x
7=x
9x=9*7
=63
Step-by-step explanation:
Answer:
[tex]4 + x = - 3 + 2x \\ x - 2x = - 3 - 4 \\ - x = - 7 \\ x = 7 \\ therefore = \\ 9x = 9 \times 7 \\ 9x = 63 \\ i \: hope \: this \: was \: helpful [/tex]
If tests are worth 60% of your grade, and you have a 76.8% in that class, and you fail that test, what will be your grade?
Answers
Answer:
70
Step-by-step explanation:
it depends on the grade you make, so if you were to make a 65.47, your grade would be a 70, so any grade less than 70 should be the answer, hope this helps!
need help gotta turn in in 20 minutes!!!1
Answers
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
From the figure we can see that, [tex]\large\bold{3x°}[/tex] & [tex]\large\bold{x + 30°}[/tex] are vertically opposite angles.
⎆ Vertically opposite angles are equal to each other.
____________________
So, equation ⇻ [tex]\large\bold{3x° = x + 30°}[/tex]
____________________
Value of x will be :-
[tex]3x° = x + 30° \\ 3x - x = 30 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15[/tex]
____________________
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