The radius of a circle is 10 meters. What is the area of a sector bounded by a 45° arc?
45°
r=10 m
Give the exact answer in simplest form.
Answer:
The area of the circular sector is approximately 39.269 square meters.
Step-by-step explanation:
A circular sector is a segment of a circle, whose area ([tex]A[/tex]), measured in square meters, is determined by this formula:
[tex]A = \frac{\theta}{2} \cdot r^{2}[/tex] (1)
Where:
[tex]\theta[/tex] - Central angle, measured in radians.
[tex]r[/tex] - Radius, measured in meters.
If we know that [tex]\theta = \frac{\pi}{4}[/tex] and [tex]r = 10\,m[/tex], then the area of the circular sector is:
[tex]A = \frac{\pi}{8} \cdot (10\,m)^{2}[/tex]
[tex]A \approx 39.269\,m^{2}[/tex]
The area of the circular sector is approximately 39.269 square meters.
Answer:
39.269
Step-by-step explanation:
If the scale factor for the dilation shown is 3, which is
the length of B'C'?
O 5/3
O 8
O 12
O 15
Answer:
the answer is D, 13
Step-by-step explanation:
I just did the assignment
Answer:
D 15
Step-by-step explanation:
-8j+14=-2(4j-7) what is this answer ?
Answer:
Infinite amount of solutions.
Step-by-step explanation:
It's an interval notation. (∞,∞)
Answer:
0=0
Step-by-step explanation:
-2*4j+2*j
-8j+14=-8j+14
-8j+14-14=-8j+14-14
-8j=-8j
0=0
Which expression represents the calculation the sum of x and 8 is divided by 6?
Answer:
(x + 8) / 6
Step-by-step explanation:
The sum of x and 8, meaning x + 8 is being divided by six, so we group x + 8 in parentheses, and divide by 6 to get the answer
A $350 purchase is discounted 15%. You use a 20% coupon. What is the total paid?
Answer:
238 should be the answer
Step-by-step explanation:
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Radius - 7
height- 2
Answer: 87.9
Step-by-step explanation:
Since the formula is 2 x pi x radius x height, we plug the equation in.
If you use “3.14” for pi, it’s 2 x 3.14 x 7 x 2 = 87.9 (rounded to the nearest tenth)
2 x pi x 7 x 2 = 87.96 (88 rounded to the tenth)
Help if you can please..
Answer:
78
Step-by-step explanation:
42+36=78
Answer:
78
Step-by-step explanation:
42 + 36 = 78
kekeke9ieie
WELL, I NEED HELP AGAIN 3.0
Answer:
up by 4 left by 2
Step-by-step explanation:
work out, giving your answer as a mixed number:
4 2/3 + 1 3/4 =
Answer:
6 5/12.
Step-by-step explanation:
4 2/3 + 1 3/4
= 4 + 1 + 2/3 + 3/4
= 5 + 8/12 + 9/12
= 5 + 17/12
= 5 + 1 5/12
= 6 5/12.
Solve for x.
-42 - 3 = -11
pls and thank you:)
Answer:
there is no any x
Step-by-step explanation:
but if you want to say -42x-3= -11
-42x-3+3= -11+3
-42x=8
-42x/-42=8/-42
x= -8/42
= -4/21
or if you want to say -42-3x= -11
-42+42-3x= -11+42
-3x= 31
-3x/-3=31/-3
x = -31/3
hope it's helpful ❤❤❤
THANK YOU❤
Answer:
The answer is -45 = -11
Step-by-step explanation:
Subtract 3 from − 42 .
Hoped this helped!
Brainly, Please?
YALL HELP ME PLEASE ITS URGENT
Which expression is equivalent to (7x3}(x8}
Answer:
[tex]168[/tex]
Step-by-step explanation:
Because we are missing the options to this question we will have to answer this question using what we know.
[tex]7\times3\times8[/tex]
Solve
[tex]7\times3=21[/tex]
[tex]21\times8=168[/tex]
[tex]=168[/tex]
All you have to do now is find the expression that also equals to 168, when you do that option is your answer.
Hope this helps.
What is (f*g)(x) f(x) = - x ^ 2 g(x) = x + 1
Answer:
Purplemath
First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
MathHelp.com
Need a personal math teacher?
Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
Step-by-step explanation:
Purplemath
First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
MathHelp.com
Need a personal math teacher?
Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
Someone help me please !!
Which of the following proportions is false?
Answer:
D is false
Step-by-step explanation:
Right answer gets brainlist
Answer:
10 feet
Step-by-step explanation:
[tex] {r} = \sqrt{ \frac{V_{silo} }{\pi \times h} } \\ \\ {r} = \sqrt{ \frac{11938}{3.14 \times 38} } \\ \\ {r} = \sqrt{ \frac{11938}{119.32} } \\ \\r = \sqrt{100.050285} \\ \\ r = 10.0025139 \\ \\ r \approx \: 10\: ft[/tex]
What are the roots of the equation?
10x2 - 6x + 4 = -3x
Answer:
(3 +/- i*sqrt(151) / 20 (no real solutions)
Step-by-step explanation:
10x^2 - 6x + 4 = -3x
Add 3x to both sides
10x^2 - 6x + 4 + 3x = -3x + 3x
10x^2 - 6x + 4 + 3x = 0
Add like terms
10x^2 - 3x + 4 = 0
We have to use quadratic formula to find the answers
For this equation, a = 10, b = -3 and c = 4
Note: +/- is plus or minus
Quadratic formula:
x = (-b +/- sqrt(b^2 - 4ac)) / 2a
x = (-(-3) +/- sqrt(-3^2 - 4(10)(4))) / 2(10)
x = (3 +/- sqrt(9 - 160)) / 20
x = (3 +/- sqrt(-151) / 20
x = (3 +/- i*sqrt(151) / 20
if there's a "-" sign inside a square root, it will give you an imaginary number.
Example:
-sqrt(9) = -3
sqrt(-9) = 3i (first you will ignore the "- " sign, then square the number. After finding the square root, take that '-' sign and turn it to an "i")
So for sqrt(-151), 151 is not a perfect square, so you will get a decimal number. Leave it as it is:
sqrt(151). We can't forget about the "-". Turn the minus into a sign.
It will be i*sqrt(151)
Imaginary numbers can't be simplified, so this is the answer.
(3 +/- i*sqrt(151) / 20
Needdddddd helpppppppp ASAP
Answer:
4th option, always increasing
Step-by-step explanation:
It’s always increasing because the graph is concave up
If you get it right/wrong, do let me know
3x - 2y = 7
[? ]x
y =
Your mum and your dad should help you with this
what is 2 +2 this 65 points.
Answer:
4
Step-by-step explanation:
2 + 2 = 4 lol
One winter day, the temperature was -15 degrees Fahrenheit. Later that day the temperature rose 12 degrees Fahrenheit to reach the high temperature for the day. If t represents the high temperature what is t.
-3
-15 plus 12 is -3
so T= -3
Select all the expressions that are equivalent to 16x - 12 - 24x + 4
1) 4 + 16x - 12(1 + 2x)
2) 40x - 16
3) 16x - 24x - 4 + 12
4) -8x - 8
Answer:
(1) and (4)
Step-by-step explanation:
4 + 16x - 12(1 + 2x) = 4 + 16x - 12 - 24x
4 + 16x - 12 - 24x = 16x - 12 - 24x + 4
- 24x + 16x = -8x
- 12 + 4 = -8
Which creates -8x - 8
CAN SOMEONE HELP MEEE:) PLEASEEE!!
Answer:
E
Step-by-step explanation:
Answer: get the app Socratic! It will help so much all you do is take a picture of the question. And it is fast
Step-by-step explanation:
-4x – 6 = -3.8 - 3x – 10
Answer:
[tex]x=7.8[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps :)
-ilovejiminssi♡
Answer:
x=7.8
Step-by-step explanation:
Brainliest pls if this helps
These questions both go together if you answer them I'll give you brainliest !! :)
Answer: the answer is 2.5
Step-by-step explanation:
I just did that
If f(x) = 3x + 1, what is one possible value of x for
which 6
Answer:
1/3
Step-by-step explanation:
NEED HELP RN ILL GIVE YOU BRAINLIST
The front of this button has a radius of 32 mm.
Which equation could be used to find the area of the front of the button in square millimeters?
A
A=32⋅π
B
A=64⋅π
C
A=π⋅322
D
A=π⋅642
Answer:
A
Step-by-step explanation:
You multiply it and since 32mm is half it would be 64
Answer:
none of them, it would be A = pi * 32^2
Step-by-step explanation:
Brenda had $23 to spend on two notebooks. After buying them she had $19. How much was each notebook?
Answer:
Brenda has 4 dollars
Step-by-step explanation:
Answer:
Each notebooks cost $2
Step-by-step explanation:
23-x=19
x=4
But she had 2 notebooks
So that means 4÷2=2
what is –7y = –8y + 2
Answer:
Step-by-step explanation:
Have a good day
Answer:
y= 2
Step-by-step explanation:
hope this helps:)))
Use the slope-intercept form to graph the equation HELP PLEASE
Step-by-step explanation:
The picture in the attachment is the answer
