if the radius is 14cmand The perimeter of the sector is 57.32cm.
what is the size of the angle?
Answer:
120°
Step-by-step explanation:
A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:
Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r
Where θ is the angle which forms the sector and r is the radius of the circle.
Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:
Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r
[tex]57.32=\frac{\theta}{360} *2\pi *14+2(14)\\\\57.32-28=\frac{\theta}{360} *2\pi *14\\\\29.32=\frac{\theta}{360} *2\pi *14\\\\ \frac{\theta}{360}=\frac{29.32}{2\pi *14} \\\\\frac{\theta}{360}=0.33\\\\\theta=120^o[/tex]
can y'all please help 10 points
Answer:
[tex] \frac{23}{24} [/tex]
Step-by-step explanation:
[tex]2a + b[/tex]
[tex]a = \frac{5}{12} \\ b = \frac{1}{8} [/tex]
Substitute a = 5/12 and b = 1/8 in the expression.
[tex]2( \frac{5}{12} ) + \frac{1}{8} \\ \frac{5}{6} + \frac{1}{8} [/tex]
Our denominator must be 24. (LCM)
[tex] \frac{5 \times 4}{6 \times 4} + \frac{1 \times 3}{8 \times 3} \\ \frac{20}{24} + \frac{3}{24} \\ \frac{23}{24} [/tex]
What is the solution set for the inequality below
-3x + 15 < 18
Answer:
x > -1
Step-by-step explanation:
-3x + 15 < 18
Subtract 15 from each side
-3x + 15-15 < 18-15
-3x < 3
Divide each side by -3, remembering to flip the inequality
-3x/-3 > 3/-3
x > -1
Guys I rlly need help this due in 4 minutes, whats 1683 divided by 383 please help me
Answer:
1683 / 383 = 4.39 or approx 4.4
Answer:
4.39425587467 or 4 remainder 151.
Step-by-step explanation:
Long division.
Can somebody help me. Will mark brainliest.
Answer:
the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)
Step-by-step explanation:
1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle
7(n - m) for m = 4 and n = 15
Answer:
63
Step-by-step explanation:
7(15-4)
7(9)
63
Find the slope and the -intercept of the line. y=-1/5x+7 plz i need help
Answer:
slope= -1/5
y-intercept=7
Step-by-step explanation:
y=mx+b is a linear equation
m=slope
b=y-intercept
Select the equation that represents the graph above.
y=x√−2y is equal to square root of x minus 2 , ,
y=x√+2y is equal to square root of x plus 2 , ,
y=x+2y is equal to x plus 2 , ,
y=x+2−−−−−√
Answer:
_
just did the test and got it right its /x + 2
Step-by-step explanation:
just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option
2. Find the distance between the two points on the coordinate plane given below.
Use the right triangle shown to answer the question.
26
32°
*not drawn to scale
What is the approximate value of x?
Answer:45
Step-by-step explanation:
Answer:13.8
Also Stop cheating
what is the value of x? -6x=90
Please show you got the answer
Answer:
-15
Step-by-step explanation:
-6x = 90
x = 90 ÷ -6
x = -15
Answer:
X = -15
Step-by-step explanation:
90/-6 is equal to -15.
You divide the number from the side with the variable from the other side of the = sign.
How many solutions are there to the following equation?
5 ( x-3 ) - 3x = 8x - 15 - 6x
A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions
Answer:
D) infinitely many solutions
Step-by-step explanation:
5 ( x-3 ) - 3x = 8x - 15 - 6x
5x - 3x - 15 = 8x - 6x - 15
2x - 15 = 2x - 15
2x = 2x
Since, equations of both lines are same. Therefore, there are infinitely many solutions.
Answer:
D
Step-by-step explanation:
Given
5(x - 3) - 3x = 8x - 15 - 6x
5x - 15 - 3x = 2x - 15
2x - 15 = 2x - 15
Since both sides are the same then any real value of x will be a solution.
That is there are infinitely many solutions
Need answers for #3 please hep
Please hurry. I will give brainliest. :)
Answer: Am thinking it is B because am only 11 and I don't know if this is right. Hope this helps, or not...
Step-by-step explanation:
What is the simplest form of this expression?
-x(4x2 - 6x + 1)
Answer:
−4x3+6x2−x
Step-by-step explanation:
(−x)(4x2−6x+1)
=(−x)(4x2+−6x+1)
=(−x)(4x2)+(−x)(−6x)+(−x)(1)
=−4x3+6x2−x
Simplify:
√36a^3b^4
A) 6ab^2√a
B) 6ab^2
C) 6ab^2√ab
D) 6ab^3
A basketball player made 44 out of 100 attempted free throws. What percent of free throws was made?
Answer:he has a 44% free throw rate
Step-by-step explanation:
5x + 3y = 5
5x + 7y = 25
Answer:
(-2,5)
Step-by-step explanation:
Helppp!!
What is the value of the missing angle?
Answer:
105
Step-by-step explanation:
all angles inside a triangle add up to equal 180, the inside angle at R is 75 degrees, the TP line is obviously a 180 degree angle, because it's just a straight line, so you subtract 75 from 180 to get 105
hope this helps :)
Simplify the expression
6s-6s=?
Answer:
0
Step-by-step explanation:
6-6=0 so when you multiply s by 0 its 0
I need help my teacher never taught me well
Answer:
3:20
Step-by-step explanation:
Answer:
4:18
hope it helps.....
Write an equation to find x by substituting.
3. What does it mean to substitute here?
5x - 2 = 3x +4
Answer:
3
Step-by-step explanation:
5x-2=3x+4
5x-3x=4+2
2x=6
x=3
Sneakers at Mr lou's garage sale cost the same price. alexander paid $90.52 for four pairs. How many pairs of sneakers did justin buy if he paid $135.78? write a proportion and use cross products to solve for d, the number of sneakers that David bought.
Answer 6
Step-by-step explanation:
I found the answer on calculator
The table represents a function.
What is f(-2)?
0 -3
х
-6
-2
f(x)
3
1
4
-2
O-1
O 1
O 3
9514 1404 393
Answer:
(c) 1
Step-by-step explanation:
To find f(-2), locate -2 in the x column. Then find the corresponding f(x) value.
-2 is in the second row, opposite f(x) = 1, so f(-2) = 1.
Answer: c
Step-by-step explanation:
Identify the x- and y-intercepts of the equation
4x - y = 8
[tex]\boxed{\boxed{\pink{\sf \leadsto The \ x - intercept \ is \ (2,0) \ \& \ the \ y \ intercept \ is \ (-8,0) }}}[/tex]
Step-by-step explanation:A linear equation is given to us and we are required to find x and y Intercepts to it. So the given linear equation to us is ,
[tex]\bf \implies 4x - y = 8 \\\\\bf\implies \dfrac{1}{8} \bigg( 4x -y\bigg) =\frac{1}{8}\times 8 \\\\\bf\implies \dfrac{4x}{8}-\dfrac{y}{8} = \dfrac{8}{8} \\\\\bf\implies \dfrac{x}{2}-\dfrac{y}{8}=1 \\\\\bf\implies\boxed{\red{\bf \dfrac{x}{2}+\dfrac{y}{-8}=1 }}[/tex]
Hence on comparing to standard form we get
x intercept as (2 , 0 )y intercept as (0,-8) Hence the x - intercept is ( 2 , 0 ) and the y - intercept is ( 0 , -8 ) .Answer:
x = (2,0)
y = (0,-8)
Step-by-step explanation:
Remember than an intercept always has the other number as 0.
Let's put this in standard form of a linear equation, or y = mx + b
4x - y = 8
-y = -4x + 8
y = 4x - 8
"b" is the y intercept. The y intercept is -8, or (0,-8)
Now, to find the x intercept, all we have to do is substitute 0 for y.
0 = 4x -8
8 = 4x
2 = x
The x intercept is 2, or (2,0)
Pls explain how you got the answer also ☺️
Answer: x = 250
Step-by-step explanation:
-17 + x/5 = 33
+17 on each side to get rid of the 17
x/5 = 50
Multiply each side by 5 to cancle out the 5 and isolate the variable
x = 250
The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)
Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else
Step-by-step explanation:
!!Please Help!! Find the value of z to the nearest tenth.
Answer:
x = 14[tex]\sqrt{2}[/tex]
y = 14
z= 14[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.
Will mark brainliest
The office worker can stamp 25 letters per minute.
At that rate, how many letters can the worker stamp in 5 minutes?
5 letters
20 letters
100 letters
125 letters
Answer:
125 letters
Step-by-step explanation:
Hope this helps!
how to solve proportions
Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."