The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %.
How to compare rotations between two wheels of different diameter
The quantity of rotations (n), no unit, done by a wheel is equal by total traveled distance (s), in inches, divided by its circumference (p), in inches:
[tex]n = \frac{s}{p}[/tex]
[tex]n = \frac{s}{\pi\cdot D}[/tex] (1)
Where D is the diameter of the wheel, in inches.
If we know that n = 651 and D = 31 in, then the travelled distance is:
s = (651) · π · (31 in) (2)
s ≈ 63400.481 in
The travelled distance of the 31-in diameter wheel with 651 rotations is approximately 63400.481 inches.
By (2) we understand that the travelled distance is directly proportional to the diameter. Hence, if the diameter of the wheel is increased by 20 %, then we must multiply the diameter by 1.2 and divide the travelled distance by this result:
s ≈ 1.2 · π · (31 in)
s ≈ 116.867 in
[tex]n = \frac{63400.481\,in}{116.867\,in}[/tex]
[tex]n = 542.501[/tex]
The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %. [tex]\blacksquare[/tex]
To learn more on circumferences, we kindly invite to check this verified question: https://brainly.com/question/4268218
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
A. ZRTP and ZATB
B. ZDTN and ZATP
C. ZATN and ZRTD
D. ZBTD and ZATP
Answer:
C & D because vertical angles have the same measures and thoses angles intersects each other
Step-by-step explanation:
Line a is perpinduclar to Line B. If the slope of Line A is 3/7 what is the slope of Line B?
Answer:
slope = - 7/3
Step-by-step explanation:
Slope of a line = m
perpindicular slope = - 1/m
-1 / ( 3/7) = - 7/3
3. can you subtract a binomial from another binomial and end up with a monomial? explain.
b) can you add monomial and end up with a binomial? explain
Answer:
Yes
Step-by-step explanation:
Let's pick 2 bionomials for this proof.
(3x+4) and (2x-4)
If we subtract (2x-4) from (3x+4) we will be left with x to the first power, which is a monimal.
So yes, you can subtract a binomial from another binomial and get a monomial.
Hope this helps!
What is the area of a circle whose radius is 6 ft?
6π ft²
9π ft²
36π ft²
72π ft²
Answer:
36π ft²
Step-by-step explanation:
Check out the attached photo
Lesson 4.02
A grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week,
32 boxes of the cereal were sold. In the 2nd week, 56 boxes of the cereal were sold and in the 3rd week 80
boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic
sequence.
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in
week n.
B) Use this rule to calculate how many boxes of cereal will be sold during the 12th week.
The boxes in the grocery store is an illustration of an arithmetic sequence
The explicit rule of the sequence is f(n) = 32 + (n - 1) * 24, and there are 296 boxes in the 12th week
How to determine the explicit rule?
The arithmetic sequence can be represented as:
32, 56, 80.......
Calculate the common difference (d)
d = 80 - 56 = 24
An arithmetic sequence is represented as
f(n) = a + (n -1) * d.
So, we have
f(n) = 32 + (n - 1) * 24
The number of box in the 12th week.This means that n = 12.
So, we have
f(12) = 32 +(12-1)*24
Evaluate
f(12) = 296
Hence, there are 296 boxes in the 12th week
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
can you please help me??
A triangle has two angles with measures of 90 and 20 degrees joined by a side with a length of 12 centimeters.
Which figure represents this triangle?
Answer: C
Step-by-step explanation:
We know that A and D will not be the correct answers. For A, it's only one 90 angles, but the questions said that has two angles. For D, it's two angles : 90 and 12, but in the question, 12 is the length, not the angle.
The correct answer is C.
im stuck hahahahahahha lol
Answer:
r=53 degrees
______
yan po
Calculate the side lengths using the given scale.
Answer:
x= 5× 17
= 85milimetres
y= 65÷ 5
=13milimetres
An airplane flies with a constant speed
of 820 miles per hour. How far can it
travel in 3 1/2 hours?
2870 miles
D= s x t
= 820 x 3.5
=2870
Hope this helps!
I NEED THIS ANSWER IN THE NEXT 10 MINUTES
Answer:
D
Step-by-step explanation:
Consecutive integers are integers with the progression n, n+1, n+2 (EXAMPLE)
Since w, x, y are consecutive integers, that means w, w+1, w+2; x = w+1, y = w+2
By referring to D,
w + x + y = w + w+1 + w+2
= 3w + 3
Hence, D is true.
Answer:
D
Step-by-step explanation:
A is wrong because if w is -1, x is 0, and y is 1, then wy is negative.
B is wrong because if w is -1, x is 0, and y is 1, then -1 + 1 = 0, which is x.
C is wrong because if w is -1, x is 0, and y is 1, then w³ + 3 = -1 + 3 = 2, which is greater than w + x + y which is 0.
D is correct because w + x + y is always equal to 3w + 3. For example, if w is 1, x is 2, and y is 3, then w + x + y = 6. 3w + 3 = 3(1) + 3 = 6.
E is wrong because if w is 1, x is 2, and y is 3, then wx is 2 and xy is 6, which means xy is greater than wx.
I hope this helps and please mark me as brainliest!
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 9 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
[tex]\sf\huge\underline{\star Solution:-}[/tex]
Given that:Hypotenuse of a right triangle = [tex]\sf\blue{16cm.}[/tex]One side (leg) = [tex]\sf\blue{9cm.}[/tex]To Find:Measure of another side(leg).Solution:-[tex]\rightarrow[/tex] As we know that,
[tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](Pythagoras Theorem)
So, using this formula we can find measure of another side(leg).
[tex]\rightarrow[/tex][tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](putting the value of both given side of triangle)
Here I am putting the value of hypotenuse in C because it is the longest side of triangle.[tex]\rightarrow[/tex] [tex]\sf{9^2 +B^2 \:=\: 16^2}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{81 +B^2 \:=\: 256}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 256-81}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 175}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B \:=\: \sqrt{175}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{B\:=\: 13.22(approx)}[/tex]
Therefore, measure of another side (leg) of the triangle = [tex]\sf\purple{ 13.22(approx).}[/tex]
____________________________________
Hope it helps you:)
PLEASE HELP ASAP LOOK AT PICTURE!!!
find the HCF of 447 577 669
Answer:
3
Step-by-step explanation:
447÷3=149577 is a prime number so it can't be divided669÷3=223447=3×149577=0669=3×223Common factors=3H.C.F of 447,577 and 669=3Answer:
1
Step-by-step explanation:
447 = 3 ×149
577 = 577 (prime number)
669 = 3 × 223
HCF = 1
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies.
The confidence level is 99%, σ is not known, and the histogram of 56 player salaries (in thousands of dollars) of football players on a team is as shown.
Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.
When should the t-distribution and the z-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.In this problem, σ is not known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.
Using a t-distribution calculator, considering a confidence level of 99% and 56 - 1 = 55 df, the critical value is t = 2.6682.
More can be learned about the t-distribution at https://brainly.com/question/16162795
100 POINTS PLEASE HURRY
Answer:
5.80^3
help please 4(2x-1)+3=8x+1
Use the distributive property:-
4(2x-1)
8x-4
8x-4+3=8x+1
8x-8x-4+3=1
8x-8x-1=1
0-1=1
-1=1
Wait, what? -1 is equal to 1?
Hence, the equation has no solutions.
Hope it helps :)
For each diagram below, write and solve an equation for x .
Answer:
x = 100 , x = 3
Step-by-step explanation:
(a)
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + x + 125 + 125 + 90 = 540 , that is
2x + 340 = 540 ( subtract 340 from both sides )
2x = 200 ( divide both sides by 2 )
x = 100
(b)
the 2 given angles are alternate exterior angles and are congruent , then
6x + 18 = 2x + 30 ( subtract 2x from both sides )
4x + 18 = 30 ( subtract 18 from both sides )
4x = 12 ( divide both sides by 4 )
x = 3
A helicopter is flying at an altitude of 306 meters, at an angle of depression of 38° to its landing pad. What is the distance d between the helicopter and the landing pad? Round your answer to the nearest whole number.
Answer:
497 mStep-by-step explanation:
Use tigonometry to find the value of d
sine = opposite side / hypotenuse306/d = sin 38°d =306/sin 38° d = 497 m (rounded)Answer:
497 m (nearest whole number)
Step-by-step explanation:
As the problem has been modeled as a right triangle, we can use the sine trigonometric ratio to find the distance d.
Sine trigonometric ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)From inspection of the given diagram:
[tex]\theta[/tex] = 38°O = 306 mH = dSubstitute the values into the formula and solve for d:
[tex]\implies \sf \sin(38^{\circ})=\dfrac{306}{H}[/tex]
[tex]\implies \sf H=\dfrac{306}{\sin(38^{\circ})}[/tex]
[tex]\implies \sf H=497.0263891...[/tex]
Therefore, the distance d between the helicopter and the landing pad is 497 m (nearest whole number).
Can someone solve this for me please.
Answer:
y= .5x+2
Step-by-step explanation:
Slope= 2/4 (rise over run) = .5
B/ y intercept = 2
y=.5x+2
What is the value of x in this triangle?
38
53
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
Answer:
x = 45.79°
Step-by-step explanation:
You can use sin Θ to find the value of x.
Let us find it now.
Sin x = Opposite / Hypotenuse
Sin x = 38 / 53
Sin x = 0.7169
x = Sin ⁻¹ 0.7169
x = 45.79°
A
group of friends were working on a student film that had a budget of $1300.
They spent all their budget on equipment and props. They used 55% of their
budget on props. How much money did they spend on equipment?
The table below shows a student's quiz scores on six quizzes.
median is 16 ducky quack
Answer:
16
Step-by-step explanation:
Median, also known as the "middle" value in a data set. To be able to find the median, your data needs to be in numerical order.
Quiz scores:
9, 13, 20, 15, 18, 17
Arrange in numerical order:
9, 13, 15, 17, 18, 20
Find the "middle" value:
9, 13, 15, 17, 18, 20
When there are two middle values, you add them up and divide it by 2.
15 + 17 = 32
32/2 = 16
Therefore, the median, "middle" value of this student's quizzes is 16.
Hope this helps!
Question 8 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
O A. What may be false
O B. None of these
O C. What may be true
O D. What must be true
Answer:
The answer is D.) What must be true
Step-by-step explanation:
Deduction is a phrase that refers to drawing conclusions based on a well-established premise. This is when you use logic to assess points based on a set of rules and conditions. You describe how the scenario might follow the rules. As a result, there is no incorrect deduction. If you evaluate it and find it to be true, it must be correct. I hope this helps! ^-^
Estimate the value of 101.4^0.5 +6.43^0 x 7.99^(2/3)
I’m not really sure of the answer, if you know, please tell me.
Answer:
14
Step-by-step explanation:
101.4^0.5 = 10.0697 etc
it says estimate so I'm going to round that to 10
6.43^0 Anything with an exponent of 0 = 1
7.99^(2/3) = 3.9966 etc you can round that to 4
Put in the values:
10 + 1 × 4
Use PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
We have to multiply 1 × 4 which is 4
We're left with 10 + 4 which is 14
Answer:
14
Step-by-step explanation:
[tex]\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23}[/tex]
[tex]\sf a^{0.5}=\sqrt{a}[/tex] so round 101.4 to 100 as the square root of 100 is easy to calculate mentally [tex]\sf a^0=1[/tex] so [tex]\sf 6.43^0=1[/tex]7.99 ≈ 8[tex]\sf a^{\frac23}=(a^{\frac13})^2[/tex][tex]\sf8^{\frac13}[/tex] = the number that you cube to get 8[tex]\begin{aligned}\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23} & = \sf \sqrt{100} +1 \times8^{\frac23}\\\sf & = \sf 10 + (8^{\frac13})^2\\& = \sf 10 + (2)^2\\& = \sf 10 + 4\\& = \sf 14\end{aligned}[/tex]
perform the indicated operation 7/2x-2/3x
Answer:
Ans: n−√5
Step-by-step explanation:
In the figure below all lines intersect at point W what is the value of angle VWX?
Answer: 55
Step-by-step explanation:
Angle VWX and the 55 degree angle are vertical angles.
y=3(x+2)^2+4 solve please and thank you!
Answer:
Step-by-step explanation:
Subtract 4 from both sides
y - 4 = 3(x+2)^2
Divide 3 from both sides
(y-4)/3 = (x+2)^2
Square root both sides
SQRT((y-4)/3) = x + 2
Subtract 2 from both sides
x = SQRT((y-4)/3) - 2
Hope this helps
Please help me with this please and thank you please actually help me
Step-by-step explanation:
f(-1) = 4(2)^-1 ≈ 4 × 1/2 = 2
(x, f(x)) = (-1, 2)
f(0) = 4(2)⁰ = 4×1 = 4
(x, f(x)) = (0, 4)
f(1) = 4(2)¹ = 4×2 = 8
(x, f(x)) = (1, 8)
f(2) = 4(2)² = 4×4 = 16
(x, f(x)) = (2, 16)
Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the total cost?
Answer:
$182.91
Step-by-step explanation:
136.50 times 0.14 (14%) is 19.11
136.50 times 0.2 (20%) is 27.30
13650+19.11+27.30=182.91
