The central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle
For given question,
we need to find the radian measure of the central angle of a circle of radius r.
The central angle intercepts an arc of length s.
Let θ be the central angle in radians.
We know that the arc length of circle of radius r is,
s = r × θ
where s is the arc length
r is the radius of the circle
θ is the central angle measured in radians
From above equation,
we have, θ = s ÷ r
Therefore, the central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle
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in image. pls expalin aswell
Therefore in each composite function we get different domains and ranges which is given below.
Function is whose values are found from 2 given operates by applying one operate to AN variable so applying the second operate to the result and whose domain consists of these values of the variable that the result yielded by the primary function lies within the domain of the secondThe domain of a operate is that the set of values that we tend to ar allowed to plug into our operate.This set is that the x values in a very operate like f(x).The vary of a operate is that the set of values that the operate assumes. This set is that the values that the operate shoots out when we tend to plug AN x price in. they're the y values out after we plug an x value in. They are the y values.(1) f(x) = x+2 , g(x) = 3x - 1
(f + g)(x) = f(x) + g(x)
= x+2 + 3x - 1
= 4x +1
Domain = (-∞ , ∞) and range = (-∞ , ∞)
(f - g )(x) = f(x) - g(x)
= x+2 -3x +1
= -2x + 3
Domain = (-∞ , ∞) and range = (-∞ , ∞)
(f.g)(x) = f (x) g(x)
= (x+2)( 3x - 1)
= 3x²- x + 6x - 2
= 3x²+ 5x -2
Domain = (-∞ , ∞) and range = [-49/12 ,∞)
(f/g)(x) = f(x)/g(x)
= x+2/3x-1
Domain = (-∞ , 1/3) ∪ (1/3 ,∞) and range = (-∞ , 1/3) ∪ (1/3 ,∞)
(2) f(x) = x² - 5 and g(x) = -x +8
(f + g)(x) = f(x) + g(x)
= x² - 5 -x +8
= x² - x +3
Domain = (-∞ , ∞) and range = [11/4 ,∞)
(f - g )(x) = f(x) - g(x)
= x² - 5 +x -8
= x² + x - 13
Domain = (-∞ , ∞) and range = [-53/4 ,∞)
(f.g)(x) = f (x) g(x)
= ( x² - 5 )(- x +8)
= -x³ + 8x² + 5x - 40
Domain = (-∞ , ∞) and range = (-∞ , ∞)
(f/g)(x) = f(x) / g(x)
= x² - 5 / -x +8
Domain = (-∞ , 8) ∪ (8 ,∞) and range = (-∞ , -16 - 2√59 ) ∪ (-16 + 2√59 ,∞)
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You need to climb to the top of a house. You take the measurements shown. The right triangles created
by each object and its shadow are
similar. Can you use a ladder that
reaches heights of up to ? Not drawn to scale
Answer: Yes, the house is 12 m tall.
Step-by-step explanation:
Since the two triangles are similar, you can set up a proportion.
Like: [tex]\frac{x}{8.8}= \frac{1.5}{1.1}[/tex] (other proportions could be correct, as long as corresponding parts are lined up).
Solve by cross-multiplying (multiply each diagonal, then set equal).
This gives us: 1.1(x) = 8.8(1.5)
Simplify: 1.1x = 13.2
then divide both sides by 1.1 to solve for x: x = 13.2/1.1 = 12
This tells us the height of the house is 12 m. A 13 m ladder would ideally reach the top.
please help asap!!!!!!!!!!!
Answer:
x = 59° , y = 44°
Step-by-step explanation:
See the attached image below ,
Since the whole angle is 180° we can write it like this ,
(2x + 18)° + (x - 15)° = 180°
2x + x + 18 - 15 = 180
3x +3 = 180
3x = 177
x = 177/3
x = 59°
and now for y,
y = (x - 15)° CORRESPONDING ANGLES PROPERTY
y = x - 15
y = 59 - 15
y = 44°
Find the slope of the line that passes through the points (3, 12) and (2, 8)
A. m=2
B. m=3
C. m=4
D. m=8
Plz help im on a timer
AD = DB and AE = EC
m AED = 32
EF = 6
m ECF = ?
Help!!!!!! Easy math problem
Answer:
x = 6
Step-by-step explanation:
180° is always all triangles.
This is a right triangle, so that means that the angle that is unknown is 90.
Angles:
90
60
7x - 12
90 + 60 + 7x - 12 = 180
150 - 12 + 7x = 180
138 + 7x = 180
7x = 180 - 138
7x = 42
7x/7 = 42/7
x = 6
What’s 7/12+1/3 in fractions show your work
Answer: 7/12 + 1/3 is 11/12
Step-by-step explanation: Get a common denominator. On 1/3, multiply 3 and 1 by 4. The makes 4/12. Then, you can add 7/12 and 4/12.
7/12+1/3 in fractions is 11/12.
What is Fraction?A fraction represents a part of a whole.
We have to find the value of 7/12+1/3
We have to find the LCM of denominators 12 and 3.
The LCM of 12 and 3 is 12
7+4/12
Seven plus four is eleven
11/12
Hence, 7/12+1/3 in fractions is 11/12.
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Examine the following figure.
If JL = 16, KM = 4x - 1, and KM is a perpendicular bisector of JL determine which of the following values are correct. Select THREE that apply
Answer:
C.KM = 15
D.KL = 17
F.Perimeter or triangle JKL = 50
Step-by-step explanation:
just finished the test
Sandy went for a jog and completed 2 miles. How many yards did she jog?
Answer:
3,520
Step-by-step explanation:
Answer:
3,520 yards
Step-by-step explanation:
I converted miles to yards
Kalista is making a new dance outfit. She needs 2 ½ yards of fabric for the shawl. She needs 1 ¾ yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need? If each yard of fabric cost $7.98, how much money does she need?
Answer:
$9.98
Step-by-step explanation:
The first step is to calculate the total fabric that Calista has
= 2 1/2 + 1 3/4
= 5/2 + 7/4
= 17/4
The next step is to calculate the fabric that she needs
= 17/4-3
= 5/4
If each yard of fabric costs $7.98 then the amount needed can be calculated as follows
= 7.98 × 5/4
= 7.98 × 1.25
= 9.975
= $9.98
Hence Kalista needs $9.98
you are tiling a kitchen floor that is 10 ft wide by 4 yd long. how many square yards of tile do you need? study.com
40÷3 or [tex]13\frac{1}{3}[/tex] square yards of tiles are needed.
To find the amount of square yards of tile needed, we will find the area. Now, to calculate the area in square yards, first thing needed in conversion of width of kitchen floor from feet to yard.
As per the known fact, 1 foot = 1÷3 yards
So, converting given width into yards, we will simply multiply
10 feet = (1÷3)×10
10 feet = 10÷3 yards
Now, calculating the square yards of tile needed or area.
Needed tiles = (10÷3)×4
Performing multiplication to find the square yards of tile needed -
Needed tiles = 40÷3 or [tex]13\frac{1}{3}[/tex] square yards.
Hence 40÷3 or [tex]13\frac{1}{3}[/tex] square yards of tile is needed.
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or
On his way to work this morning, Gabe stopped and bought a salad to eat for lunch. He paid for it with $9 from his wallet.
What integer represents the change in the amount of money in Gabe's wallet?
An integer is a whole number that can be positive, negative, or zero.
The integer that represents the change in the amount of money in Gabe's wallet is -9.
What is an integer?An integer is a whole number that can be positive, negative, or zero.
We have,
Salad cost = $9
Let the total amount in the wallet = $M
Now the amount in the wallet = $M - $9
There will be $9 less in Gabe's wallet.
The change can be denoted by a negative integer -9 from the wallet.
Thus,
The integer that represents the change in the amount of money in Gabe's wallet is -9.
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Plsssss helppp meeeeee
Answer:
First choice, 1/3
Step-by-step explanation:
If you look at 1 to A to B to 2, you would see that there are 3 gaps between them. Therefore it's out of three, A to B is only one gap distance so it's 1/3
The answer is 1/3.
- emmatannerfns
I NEED HELP!!!
5(x+1)+3x=6-(4x-3)
Answer:
1/3
Step-by-step explanation:
[tex]5(x+1)+3x=6-(4x-3) \\ \\ 5x+5+3x=6-4x+3 \\ \\ 8x+5=-4x+9 \\ \\ 12x=4 \\ \\ x=1/3[/tex]
The equation of a circle is in the form:
(x - h)2 + (y – k)2 = 9
If the circle is centered in Quadrant III, what must be true
of h and k ?
A h> 0 and k > 0
Bh< 0 and k < 0
Ch< 0 and k > 0
Dh> 0 and k < 0
Answer:b
Step-by-step explanation:
A ski resorts offers private lessons to their customers. Big time ski mountain charges $5 per hour plus $50 insurance. Powder hills charges $10 per hour plus $30 insurance. How many hours would make the cost of lessons the same for each resort?
Answer:
4 hours
Step-by-step explanation:
Big time ski mountain charges $5 per hour plus $50 insurance.
Powder hills charges $10 per hour plus $30 insurance.
Let the number of hours be x.
For big time ski mountain, it means the total cost of x hours of lesson is:
[tex]B=50+5(x)\\B=50+5x[/tex]
For powder hills , it means the total cost of x hours of lesson is:
[tex]P=30+10(x)\\P=30+10x\\[/tex]
We need to equate both equations to find the time that the costs would be the same.
That is :
[tex]50+5x=30+10x[/tex]
Collect like terms:
[tex]10x-5=50-30\\5x=20[/tex]
Divide through by 5:
[tex]x=\frac{20}{5} \\x=4 hours[/tex]
It would take 4 hours for the cost of the lessons to be the same.
PLEASE MARK ME AS BRAINLIEST
Graph the line that contains the point(-7,-4) and has a slope of -2/3
Answer:
Place one at (-7,-4) and the other at (-4,-6)
Step-by-step explanation:
Question below
image below vvvvvv firsts gets brainiest
Answer:
I believe the answer is b I hope you do well:)
I need help with this rq
The two functions appear to be symmetric about the y axis, and satisfy the equation:
[tex]g(x) = f( - x) \\ g(x) = \frac{1}{2} (3) {}^{ - x} [/tex]Answer: Option 3Who here is in 8th grade?
Answer: I am in 8th grade but am in virtual
SOLVE: log x - log (x+4) = -1
Answer:
x = 4/9
Step-by-step explanation:
Remember when you subtract logs, you divide the numbers;
This means;
log x - log (x+4) = -1 ---------can be written as;
[tex]log\frac{x}{x+4} =-1[/tex]
Eliminate the log as
[tex]\frac{x}{x+4} =10^{-1}[/tex]
x/ x+4 = 1/10
10x=x+4 --------collect like terms
10x-x =4
9x = 4 ------find value of x
x= 4/9
SOMEONE PLEASE HELP ME OUT WITH THIS PLEASE PLEASE PLEASEE I WANT TO PASS AND I DONT KNOW THAT ANSWER
Answer:
A and D
Step-by-step explanation:
C
i gotta add words so i meat the 20 character limit :)
A dolphin was swimming 3 feet below sea level. The number line shows the
location of the dolphin. It then dove down 6 feet. Describe how to use the
number line to find the new location of the dolphin,
Answer:
-9
Step-by-step explanation:
you have to go left wards 6 times from -3
The correct answer is option C which is on the number line move 6 units left and stop at -9 the dolphin will now be at 9 feet below sea level.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
It is given that a dolphin was swimming 3 feet below sea level. The number line shows the location of the dolphin. It then dove down 6 feet.
In the graph, we can see that from -3 point the 6 units left will be -9 point. Therefore the correct answer is option C which is on the number line move 6 units left and stop at -9 the dolphin will now be at 9 feet below sea level.
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Help pls and thank you
basically just need the answer my brains not comprehending anything, any form of help would be very appreciative have a great day
Solve number 3 please :)
Answer/Step-by-step explanation:
Function A has a rate of change of 10 and function B has a rate of change of 5, so function A has a greater rate of change.
y = mx + b
The slope also known as rate of change is represented as the variable m in y = mx + b. So whatever number replacing m is the rate of change. In this problem 10 is the slope or rate of change.
In a graph, rate of change is determined by the rate in which the output is increasing or decreasing compared to the increase or decrease of the input. In this graph for every 1x added 5y is decreased. So, the rate of change is 5.
8.) How wide is the pond? Round to the nearest tenth if
necessary.
120 ft
Answer:
The pond is already at the nearest tenth, 120 ft
Step-by-step explanation:
John is making a recipe that call for 1/4 cup of flour for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of flour?
SIMPLE SLOPE MATH QUESTION PLS HELPPPPPPPPPPP
Answer:
9/2
Step-by-step explanation:
Please mark as brainliest. I'm happy to help
Answer:
9/2
Step-by-step explanation:
slope formula is :
( Y2-Y1)
----------- =
( X2-X1)