Find the area of the figure.
4 ft
8 ft
5 ft
8 ft
ft?
Answer: 320 ft
Step-by-step explanation:
What is The value of ...
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a radius of 7 inches.
Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?
Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?
Show all work.
Answer:
Let r represent the radius of the smaller circle and R the radius of the larger circle.
Apply ratios: the radius of smaller circle to radius of larger circle, i.e.
r: R = 3 : 7.
I complete rotation = 360 degrees.
Part 1:
For one complete rotation of the smaller circle, the larger circle is rotated through: (3/7)*(360) = 154.3 degrees
Part 2:
For one complete rotation of the larger circle, the larger circle is rotated through: (7/3)*(360) = 840.0 degrees
This is equivalent to (840/360) = 2.3 rotations
Alternatively, use the ratios:
The number of rotations = R/r = 7/3 = 2.3 rotations
BRAINLIEST PLEASE??
Step-by-step explanation:
Answer:
Step-by-step explanation:
for smaller gear circumference=2π×2=4π inches
for larger gear
l=4π
θ=l/r
θ=(4 ×180)/7=720/7=102 .9°
for larger gear circumference=2π×7=14π
number of rotations=(14π)/4π=7/2=3.5 rotations or 3 1/2 rotations.
evaluate the following expression:
21 - ( 11 - 7 ) ² + 12
will give brainliest to whoever is right!!
Answer:
The answer is 21 - ( 11 - 7 ) ² + 12 = 17
Step-by-step explanation:
What is the distance between (-6,0) and (5,3)?
Answer:
[tex]\sqrt{130}[/tex] or 11.4
Step-by-step explanation:
Use the distance formula:
d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Plug in the points:
d = [tex]\sqrt{(-6 - 5)^2 + (0 - 3)^2}[/tex]
Simplify:
d = [tex]\sqrt{(-11)^2 + (-3)^2}[/tex]
d = [tex]\sqrt{121 + 9}[/tex]
d = [tex]\sqrt{130}[/tex]
= approximately 11.4
So, the distance is [tex]\sqrt{130}[/tex] or approx. 11.4
I need this question
What is the range of the function shown on the graph above
Answer:
d
Step-by-step explanation:
there isnt an arrow saying it keeps going past 10
Alguien me ayuda con estos problemas?
Answer:
euifgesr ourugyfru fe
Step-by-step explanation:
Answer:
euifgesr ourugyfru fe
Step-by-step explanation:
a factor that is common to all terms of an expression or to two or more expressions
Answer:
el1
elnumero e s 1Extra Example 3: Hazel has $23.28 in her purse. She has $5.60 more than Nixon.
Paul says that Nixon has $28.88. Yolanda says that Nixon has $17.68. Who is
correct?
Answer:
Yolanda is correct.
Step-by-step explanation:
If Hazel has $23.28 and $5.60 more than Nixon, then Nixon will have $17.68 because 23.28-5.60 is 17.68.
The only way Paul would be right is if Nixon has $5.60 more than Hazel because 23.28+5.60 is 28.88.
For each line below, determine the slope, the y-intercept, and the equation of the line. Help me please
Answer:
Red
Slope: 3
Y-int: 4
Equation: y = 3x + 4
Blue
Slope: -1/3
Y-int: -4
Equation: y = -1/3x - 4
Step-by-step explanation:
Which expression is equivalent to 4/9×2?
2x 9/2
4x2/9
2x2/9
4x9/2
Answer: is b
Step-by-step explanation:
4) Sherry is doing a class project and wants to see whether people in her community are more likely to consider themselves introverts' or 'extroverts. She gets a few friends together with clipboard surveys and they go to a mall entrance where they ask people to participate in a brief survey. They find that 86% of the respondents consider themselves extroverts. This result is
Answer:
d
Step-by-step explanation:
write a equation of the line that passes through each pair of points (1,0) (5,-1)
Answer:
Slope : -1/4
Equation: y = -x + 1/4
Step-by-step explanation:
You start by finding the slope using the slope formula. Then after finding the slope you use one of the pairs to substitute in the equation y = mx+b then after doing that you solve for your b since it will be the only missing variable. Then you have your equation.
Solve the system of equations:
4x - 3=-2x + 9
Answer:
x=2
Step-by-step explanation:
Step 1: Add 2x to both sides.
4x−3+2x=−2x+9+2x
6x−3=9
Step 2: Add 3 to both sides.
6x−3+3=9+3
6x=12
Step 3: Divide both sides by 6.
6x = 12
6 6
x=2
Answer:
42 as i dont know so ask jeff ma boy from da sewers
Step-by-step explanation:
Write an exponential function to describe the given sequence of numbers,
7. 28. 112, 448, 1792)
Answer:
y=7*4^(x-1)
Step-by-step explanation:
y=a*b^(x-1)
x=1, 7=a
28=7b
b=4
y=7*4^(x-1)
Katie draws marbles from a bag. She drew 6 red marbles out of 20 marbles she picked. If she were to draw 10 more marbles, how many of those 10 can she predict to be red?
2
3
4
5
Answer:
4
Step-by-step explanation:
If red marbles are 10 then answer is 4
What is the solution to the system of linear equations represented by the table?
Everything is in the picture
Answer:
B. (-3, -4)
Step-by-step explanation:
The solution to the system of the linear equations represented by the table is the coordinate pair of the point at which both the value of y1 and y2 are the same for a given x-value.
Thus, when x = -3, y1 and y2 are both -4.
Therefore, it is safe to conclude that the solution to the system of equations is:
(-3, -4).
PLEASE HELP THIS IS WORTH MY WHOLE GRADE ITS DUE IN 1HR PLEASE
Don't we need the full question?
Solve following problems
(2x + 5)/(5x + 2)
and
(4 - 3x) / ( 3x - 4)
Answer:
(4 - 3x) / ( 3x - 4) = -1
(2x + 5)/(5x + 2) = 0
Step-by-step explanation:
CAN YOU HELP ME PLEASEEEE ITS GEOMETRY!!! THANK YOUUU
Answer:
117
Step-by-step explanation:
The angles line up~ P is the same as angel I.
Simplify: (3y^4 - 2y^2 + 3y - 2) - (-4y^4 - 2y^2+ 3)
Answer:
7y^4+3y-5
Step-by-step explanation:
plzz help asap.......
Answer:
29.78 feet
Step-by-step explanation:
which expression is equivalent to 3(y-6)? (A.3y-6) (B.2y-18+y) (C.5y+18-2y) (D.2y-18-5y
Answer:
Step-by-step explanation:
3(y-6)=3y-18
which can be expressed as
2y-18+y
Which ordered pair is a solution of the inequality y< 3x+1?
37) The graph represents the solution to which inequality?
Answer:
your answer will be D. X - 5 < -9
Step-by-step explanation:
hope it helps have a nice day!!!
Original Number
Write as Fraction
5
6
Answer:
5/6 because it would be because the numerator would be 5 and the denominator would be 6.
Answer:
5/6
Step-by-step explanation:
since 5 is on the top it would be the numerator
since 6 is on the bottom it would be the denominator.
Rewrite the function by completing the square.
f(x) = x^2 – 10x—96
Answer:
(x - 5)² -121 = 0
Step-by-step explanation:
if you need to find the roots you can take the square root of each side:
(x-5)² = 121
(x-5)² = 121
square root of (x-5)² is x-5
square root of 121 is ±11
first root: x-5 = 11
x = 16
second root: x-5 = -11
x = -6
Answer:
[tex]f(x) = (x - 5)^{2} - 121[/tex].
Step-by-step explanation:
The goal is to rewrite [tex]f(x)[/tex] in the vertex form [tex]a\, (x - h)^{2} + k[/tex] by completing the square (where [tex]a[/tex], [tex]h[/tex], and [tex]k[/tex] are constants.)
Expand the vertex form expression:
[tex]\begin{aligned}& a\, (x - h)^{2} + k\\ &= a\, (x - h)\, (x - h) + k \\ &= a\, \left(x^2 - h\, x - h\, x + h^2\right) + k \\ &= a\, \left(x^2 - 2\, h\, x + h^2\right) + k\\ &= a\, x^2 - 2\, a\, h\, x + \left(a\, h^2 + k\right) \end{aligned}[/tex].
Compare this expression to [tex]f(x) = x^2 - 10\, x - 96[/tex] and solve for the constants [tex]a[/tex], [tex]h[/tex], and [tex]k[/tex]. Make sure that the coefficient of each term matches:
Coefficient for the [tex]x^2[/tex] term: [tex]a[/tex] in the expanded expression and [tex]1[/tex] in the expression for [tex]f(x)[/tex]. Hence, [tex]a = 1[/tex].Coefficient for the [tex]x[/tex] term: [tex](-2\, a\, h)[/tex] in the expanded expression and [tex](-10)[/tex] in the expression for [tex]f(x)[/tex]. Hence, [tex]-2\, a\, h = -10[/tex].Coefficient for the constant term: [tex]\left(a\, h^2 + k\right)[/tex] in the expanded expression and [tex](-96)[/tex] in the expression for [tex]f(x)[/tex]. Hence, [tex]a\, h^{2} + k = -96[/tex].Substitute [tex]a = 1[/tex] into the second equation, [tex]-2\, a\, h = -10[/tex], and solve for [tex]h[/tex].
[tex]-2 \, h = -10[/tex].
[tex]h = 5[/tex].
Substitute both [tex]a = 1[/tex] and [tex]h = 5[/tex] into the third equation, [tex]a\, h^{2} + k = -96[/tex], and solve for [tex]k[/tex].
[tex]5^2 + k = -96[/tex].
[tex]k = -121[/tex].
Therefore, [tex]a\, (x - h)^{2} + k[/tex] becomes [tex](x - 5)^2 + (-121)[/tex].
Hence, the vertex form of the parabola [tex]f(x)[/tex] would be:
[tex]f(x) = (x - 5)^{2} - 121[/tex].
The measures of the angles of a triangle are shown in the figure below. Solve
for x.
Answer:
x=11
Step-by-step explanation:
180-109-43=28
4x-16=28
4x=44
x=11
If you have $10 with which to buy some pens for $1.75 each, how many can you buy?