Answer:
251.2 m
Step-by-step explanation:
Circumference = 2 x π x r
C = 2 x 3.14 x 40
C = 251.2
Circumference of a circle
The path or the boundary that encircles any shape is defined by its circumference. In other words, the perimeter is another name for the circumference, which makes it easier to determine how long a shape's outline is. The circle's perimeter is measured in this way. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it.
We take radius of the circle and pi to calculate the circumference of circle.
The formula of circumference of circle is 2πr.
R is radius of the circle and π is mathemetical constant which value approx 3.14
In the question it is given that the diameter of a wheel is 80m. So, radius is half of diameter, 40m.
So, the circumference = 2πr
= 2 × 3.14 × 40 = 251.2m
Rider has to travel 251.2m to cover one complete rotation.
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Does the point (4, 0) satisfy the equation y = –5x + 4?
Answer:
no
Step-by-step explanation:
y = –5x + 4
Substitute the point into the equation
0 = -5(4) +4
0 = -20+4
0 = -16
This is not true so it is not a solution to the equation
Which expression is equivalent to 3x + 6y?
Answer:
3x+6y =0
-6y
3x=-6y
x=-2y
Step-by-step explanation:
I don’t know how to label the sides as “opposite, adjacent, hypotenuse” so I’m not sure which formula to use
Step-by-step explanation:
The opposite side is the side of the triangle facing the given angle. The adjacent side is the side that the given angle and the right angle lies on. The hypotenuse side is the side facing the right angle. (The hypotenuse side usually looks like a slanted line. Do note that this is not true if your adjacent and hypotenuse side is not horizontal and vertical respectively on the plane of your paper.)
I'll explain a bit more below using the some of the questions.
Q1) The given angle here is 27°.
X is facing the given angle hence it is the opposite side.
The side that is 10 units long is the adjacent side as 27° and the right angle sits on it.
tanθ= opp/adj
tan27°= x/ 10
x= 10(tan 27°)
x= 5.1 units (nearest tenth)
Q3) x is the adjacent side, while the side that is 7 units long is the hypotenuse side.
cosθ= adj/hyp
cos39°= x/7
x= 7(cos39°)
x= 5.4 units (nearest tenth)
Q4) x is the hypotenuse and the opposite side is 8 units long.
sinθ= opp/hyp
sin46°= 8/x
x(sin46°)= 8
x= 8/ sin46°
x= 11.1 units (nearest tenth)
Q5) x is facing the given angle, hence it is the opposite side. The adjacent side is given here, which is 6 units long.
tanθ= opp/adj
tan23°= x/6
x= 6(tan 23°)
x= 2.5 units (nearest tenth)
Feel free to ask if you still do not understand any concepts :)
sinθ= opp/hyp
cosθ= adj/hyp
tanθ= opp/adj
pls help help me need help!!
Answer:
|-30| + |25|
Step-by-step explanation:
The helicopter is 25 ft above the ledge. The stunt actor is 30 below the edge. The distance from the helicopter to the stunt actor is the sum of the two distances, 25 + 30 = 55 ft. The correct expression must equal 55.
A. |-30| + |25| = 30 + 25 = 55
B. -30 - 25 = -55
C. -30 + 25 = -5
D. |-30| - |25| = 30 - 25 = 5
The correct expression is |-30| + |25| since it it the only expression that equals 55.
Jorge bought a watch on sale for 25% off the original price and another 75% off the discounted price. If the watch originally costs $64, what was the final sale price that Jorge paid for the watch?
Answer:
12
Step-by-step explanation:
Simplify: 5x(2x-3y)
o 10x7 - 15xy
10x -8y
10.x2 -3y
10x7 - 15y?
Hey!!
5x(2x-3y)
=5x*2x- 5x*3y
= 10x^2-15xy
So the right answer is of option A
hope it helps.....
Answer:
the answer is 10x^2-15xy
Step-by-step explanation:
i cant make it any simpiller
What equivalent fractions do you see represented in the picture? Type them and explain how you know they are equivalent type it in!
Answer: 2/8, 4/8, 4/4, 8,8
Step-by-step explanation:
They all have the denominator of 8.
Kareem has a pencil that is 13.5 centimeters
ong and a crayon that is 87.5 millimeters
ong. How many millimeters longer is
the pencil than the crayon?
(1 centimeter = 10 millimeters)
47.5 millimeters longer
The pencil is 47.5 millimeters longer than the crayon.
To find out how many millimeters longer the pencil is than the crayon, we need to convert the length of the pencil from centimeters to millimeters and then subtract the length of the crayon.
Given that length of the pencil = 13.5 centimeters
Length of the crayon = 87.5 millimeters
To convert centimeters to millimeters, we use the conversion factor: 1 centimeter = 10 millimeters.
So, the length of the pencil in millimeters is:
13.5 centimeters × 10 millimeters/centimeter = 135 millimeters
Now we can calculate the difference in length between the pencil and the crayon:
Length of the pencil - Length of the crayon = 135 millimeters - 87.5 millimeters
Subtracting the lengths, we find that the pencil is:
135 millimeters - 87.5 millimeters = 47.5 millimeters longer than the crayon.
Therefore, the pencil is 47.5 millimeters longer than the crayon.
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The experimental probability of getting a 6 on a number cube is 7 over 40 . Which is true about the event’s experimental probability? The number 6 came up a total of 40 times. The number 6 came up 7 times out of a total of 40 trials. The number cube was rolled a total of 47 times. After 7 trials, the number 6 came up 40 times.
Answer:
The number 6 came up 7 times out of a total of 40 trials
Step-by-step explanation:
Correct me if i am wrong
Answer:B
Step-by-step explanation:
Because I said so, if you don’t believe me you are a looser
Select the equation that is the inverse of the given function. f (x) = StartFraction x minus 3 Over 5 EndFraction f Superscript negative 1 Baseline (x) = 5 x + 15 f Superscript negative 1 Baseline (x) = 5 x + 3 f Superscript negative 1 Baseline (x) = 3 x minus 5 f Superscript negative 1 Baseline (x) = negative five-thirds x
Answer: the answer is B
Step-by-step explanation:
i just did it
Answer:
b
Step-by-step explanation:
on edge
could someone please help me with this problem?
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 9) and (x₂, y₂ ) = (12, 20)
m = [tex]\frac{20-9}{12-4}[/tex] = [tex]\frac{11}{8}[/tex] → C
The Perfect square numbers between 100 and 200 are ____
Pls help.
Step-by-step explanation:
The perfect square numbers between 100 and 200 are :
10^2 =100
11^2 =121
12^2 =144
13^2 =169
14^2 =196
h(x)= 1/8x^3-x^2 Over which interval does h have a positive average rate of change ?
Answer:
6<x<8? I think this is the answer. I am not sure so please do not rely on me. I am not the smartest!
Step-by-step explanation:
5. What is the simplified form of (2x2 + 4x – 3)(3x + 1)?
06x3 + 10x2 – 5x + 3
O 6x3 + 14x + 5x – 3
O 6x3 + 14x2 – 5x – 3
O 6x3 – 10x2 – 5x - 3
Answer:
6x³+14x²-5x-3
Step-by-step explanation:
I'm assuming 2x2 is 2x²
(2x²+4x–3)(3x+1)=
6x³+2x²+12x²+4x-9x-3=
6x³+14x²-5x-3
1. 6x³+10x²-5x+3
2. 6x³+14x +5x-3
3. 6x³+14x²-5x-3
4. 6x³-10x²-5x-3
Add, write answers as a decimal 3/4 + 0.66
Answer:
1.41
Step-by-step explanation:
3/4 = 75/100 = 0.75
0.75 + 0.66 = 1.41
Answer:
1.41
Step-by-step explanation:
4 divided by 3 = 0.75
0.66 + 0.75 = 1.41
Use the function f(x) = 5x^2 + 2x − 3 to answer the questions.
Part A: Completely factor f(x).
Part B: What are the x-intercepts of the graph of f(x)? Show your work.
Part C: Describe the end behavior of the graph of f(x). Explain.
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.
A) (5x-3)(x+1)
B) [tex]\frac{-2 \pm \sqrt{4+60}}{10} = \frac35 \text{or} -1[/tex]
C) it gets up really high
D) Plug values in of x to get y and plot!
Which is the graph of y=[x]-2?
A laptop that costs $250 is on sale with a 20% discount. What is the amount of discount? What’s the explanation to do this
Answer: $50
Step-by-step explanation:
250 x 0.20 = 50
$50 discount
or you pay 80%, so
250 x 0.80 = 200
$200 final cost
$250 original cost - $200 final cost = $50 discount
Answer: 50
Step-by-step explanation:
Discount = 250 x .20 = 50
type 2 ways they are the same.
Answer:
if you divide the first 2 in half you get the one in the bottom, if you unite each 2 in bottom you get the ones in top, its all i could think of, sorry
Step-by-step explanation:
Solve the following systems of equations using the substitution method. What is the value of a? 3a-5b=10 a+7b=12 A) a=5 B) a=6 C) a=1 D) a=7
Answer:
a=5
Step-by-step explanation:
3a-5b=10
a+7b=12
multiply the second row with -3
-3a-21b=-36 now we gonna add this to the first row
3a-5b=10
_________+
-26b=-26 b=1 now we gonna put in one of the equations to find a
a+7b=12
a+7.1=12 a=5
Answer:
i hope its clear . the answer is a = 5
DEllAC AD=BE AB=16 BC=24
BE-? BD-?
Answer:
BE = 3.6 units
BD = 12.4 units
Step-by-step explanation:
From the picture attached,
Since DE║AC, ΔBDE and ΔABC will be similar.
In these similar triangles corresponding side will be in the same ratio.
[tex]\frac{BD}{AB}=\frac{BE}{BC}[/tex]
[tex]\frac{AB-AD}{AB}=\frac{BE}{BC}[/tex]
[tex]1-\frac{AD}{AB}=\frac{BE}{BC}[/tex]
1 - [tex]\frac{BE}{AB}=\frac{BE}{BC}[/tex] [Since AD = BE]
1 - [tex]\frac{BE}{16}=\frac{BE}{24}[/tex]
1 = [tex]\frac{BE}{16}+\frac{BE}{24}[/tex]
1 = [tex]BE(\frac{3+2}{48})[/tex]
BE = [tex]\frac{18}{5}[/tex]
BE = 3.6 units
Therefore, AD = BE = 3.6 units [given]
Now BD = AB - AD
= 16 - 3.6
= 12.4 units
Find the difference quotient of f; that is, find StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis Over h EndFraction comma h not equals 0 comma for the following function. f left parenthesis x right parenthesis equals negative 4 x plus 6
Answer:
-4
Step-by-step explanation:
Given the following function:
f(x) = -4x + 6
We have to find the difference quotient of f(x); that is,
[f(x + h) - f(x)]/h
So, we ned to compute f(x + h) as follows:
f(x+h) = -4(x+h) + 6 = -4x - 4h + 6
Replacing into the difference quotient, we get:
[f(x + h) - f(x)]/h = [-4x - 4h + 6 - (-4x + 6)]/h
[f(x + h) - f(x)]/h = [-4x - 4h + 6 + 4x - 6)]/h
[f(x + h) - f(x)]/h = [- 4h)]/h
[f(x + h) - f(x)]/h = -4
Positive numbers have negative square roots.
O A. True
B. False
Answer:
false
Step-by-step explanation:
Answer: A. True because multiplying a negative number by a negative number gives you positive.
Step-by-step explanation:
For each function, state weather it’s linear
Answer:
Step-by-step explanation:
function 1
slope=(1-0)/(0+2)=1/2
or slope=(4-1)/(2-0)=3/2
which is not same.
so it is not linear.
Function 2.
slope=(1+2)/(-3+4)=3/1=3
or slope=(4-1)(-2+3)=3/1=3
or slope=(7-4)/(-1+2)=3/1=3
slope is same. so it is linear.
Which of the following exponential functions represents the graph below?
Answer:
C
Step-by-step explanation:
So you should be looking for the right function.
Remember that any number to the power of 0 is by definition 1.
3 * 1 = 3
In the graph you see point (0,3), so what you do is to check for each function if f(0)=3.
So if you substitute x= 0 the result should be 3.
3 * 1 = 3
The two functions that comply with that, are the ones in answers B or C.
In the graph you can also see point (1,6). So if you substitute x= 1 the result should be 6.
The only function that complies with that is in answer C.
how do you compare 7/8 ___ 15/16 ?
Answer:
7/8 < 15/16
Step-by-step explanation:
Get a common denominator of 16
7/8 *2/2
14/16
14/16 < 15/16
so 7/8 < 15/16
A paper manufacturer packages twelve reams of paper in a box—in three stacks of four reams. A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches. What is the volume of the current-sized box? a0 cubic inches
Answer:
Volume of the box = [tex]2244inches^{3}[/tex]
Step-by-step explanation:
Given
Number of reams in one stack = 4
Number of stacks in the box = 3
Dimensions of a ream = 8.5 inches, 11 inches and 2 inches respectively
To find
Volume of one ream = Length × Breadth × Height
= 8.5 × 11 × 2
= [tex]187 in^{3}[/tex]
Volume of all the four reams in one stack = 187 × 4
= [tex]748in^{3}[/tex]
Volume of all the three stacks in the box = 748 × 3
= [tex]2244in^{3}[/tex]
∴ Volume of the box = [tex]2244inches^{3}[/tex]
Answer:
The answer is 2244 in3. hope this helps☻♥.
Which graph represents the function f(x)=3x5^x
Answer:
top right corner
Step-by-step explanation:
please help me thank you in advance
Answer:
480
Step-by-step explanation:
The ratio of odd ood is 12/50. Divide 2000 by 500 to get the amount you need to multiply by (40). 12 *40=480
Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing. To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog? 8% 28% 46% 61%
Answer:
28%
Step-by-step explanation:
Given that
The calculation of probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog is shown below:-
Remaining of large pieces of mail were catalogs
= 100% - 22%
= 78%
Now, we will solve the equation to find out the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog
[tex]= \frac{36}{100}\times \frac{78}{100}\times 100[/tex]
[tex]= \frac{2,808}{10,000}\times 100[/tex]
= 28.08%
or
28%
Answer:
28%
Step-by-step explanation: