Answer:
r = 10.5 m
Step-by-step explanation:
Given that,
A bicycle wheel turns 15 times in covering a distance of 66 m.
We need to find the radius of the wheel.
The distance that a wheel travels in one rotation is simply the circumference of the circle.
[tex]2\pi r=66[/tex]
Where
r is the radius of the wheel
Put all the values,
[tex]r=\dfrac{66}{2\pi}\\\\r=\dfrac{66\times 7}{2\times 22}\\\\r=10.5\ m[/tex]
So, the radius of the wheel is equal to 10.5 m.
Mathematics challenge
Get the equation of the line containing PQ using the point-slope formula:
y - (-2) = 3/2 (x - (-6))
Solve for y to get it in slope-intercept form:
y = 3/2 x + 7
so the y-intercept is (0, 7).
The line containing QR is then
y - 7 = -3/4 (x - 0)
or
y = -3/4 x + 7
The point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:
0 = -3/4 x + 7
3/4 x = 7
x = 4/3×7 = 28/3
So the point R has coordinates (28/3, 0).
Answer:
Point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:
0 = -3/4 x + 7
Take off the zero...
3/4 x = 7
Answer
x = 4/3×7 = 28/3
And there it is
Point R has the coordinates (28/3, 0).
Step-by-step explanation:
What is the quotient of 15÷3?
5
Hope this helps you :D
Jimmy is writing a paper for one of his classes. The paper has to be 2,000 words long, and so far he has written 432 words. If
he only has 4 more days to write his paper and wants to write the same number of words each day, then how many words
must he write per day to finish the paper?
Suppose a normally distributed set of data has a mean of 178 and a standard deviation of 20. Use the 68-95-99.7 Rule to determine the percent of scores in the data set expected to be below a score of 218. Give your answer as a percent and include as many decimal places as the 68-95-99.7 rule dictates. (For example, enter 99.7 instead of 0.997.)
Answer:
97.7%
Step-by-step explanation:
For a score below 218 :
P(x < 218)
Standard deviation = 20 ; mean = 178
Obtian the standardized score (Zscore) :
Zscore = (x - mean) / standard deviation
Z = (218 - 178) / 20 = 40 / 20 = 2
P(x < Z) = P(Z < 2) = 0.97725 (Z probability calculator)
0.97725 * 100 = 97.725 = 97.7%
can you guys help me on this please
[tex]9^{2}+a^{2}=15^{2} \\144=a^{2}\\a=12[/tex]
Kira has $2,250 sitting in a savings account that
earns 2.75% simple interest each year. If she
leaves it there untouched, how much will be in
the account after 8 years?
Answer:
2 250×96×2.75=5 940
Step-by-step explanation:
1 year=12 months
8 year's =96 Month's
first thing you need to do is to convert Years into months
What is the measure of AZB
Answer:
129 degrees
Step-by-step explanation:
When we add a right angle (90 degrees) to an acute 39 degree angle we get 129 degrees.
azb = 129 degrees
Solve the equation for x, where x is restricted to the given interval.
Step-by-step explanation:
[tex]y = 3 \csc( \frac{x}{5} ) [/tex]
[tex] \frac{y}{3} = \csc( \frac{x}{5} ) [/tex]
Multiply by 5 on both sides.
[tex]5 \times \frac{y}{3} = \csc(x) [/tex]
Take the inverse of cosecant or arccsc of the function.
[tex]5 \: arccsc( \frac{y}{3}) = x[/tex]
The trigonometric equation for x, where x is restricted to the given interval is x = 5 * arccsc(y/5)
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given
y = 3 CSC(x/5) for x in given domain
y/ 3 = CSC (x/5)
CSC(x/5) = y/3
x/5 = arccsc(y/3)
x = 5* arccsc(y/3)
Therefore, "x = 5 * arccsc(y/5)" is the trigonometric formula when x is limited to the specified range.
Learn more about trigonometry here:
https://brainly.com/question/12068045
#SPJ2
If f(x)=x^5+5x^3+4, what is the remainder when f(x) is divided by x-2?
By the polynomial remainder theorem, the remainder is
f (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76
(The theorem says a polynomial p(x) has remainder p(c) upon dividing it by x - c.)
Cecilia invested 12,500 in an account that compounds quarterly at 2%. How much money is in her account after 4 years
6 persent
75,000 infour year's
follow me
nice study
I think 22400 mainly because i did the calculation
12500 * .2 4 times and got that answer.
Help me answer these
Step-by-step explanation:
y=-2X2 -2X +4
Answer: I answered it it's C
3) Find the area of the composite figure.
8 cm
2 cm
a. 44 cm
6 cm
5 cm
b. 50 cm?
5 cm
2 cm
c. 36 cm
8 cm
d. 22 cm
Answer:
8
Step-by-step explanation:
What is the solution to the inequality 7x + 2 < 3x + 1?
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Answer:
x < -1/4
Step-by-step explanation:
7x + 2 < 3x + 1
4x + 2 < 1
4x < -1
x < -1/4
MARK BRAINLIEST ! HELP ME PLEASE !!
Answer:
Y=9
Step-by-step
4y-7=2y+11
2y=18
Y=9
SHOW STEPS PLEASE...
9514 1404 393
Answer:
(5 15/20) -(2 8/20) = 3 7/20
Step-by-step explanation:
Problems in "least common denominator" are made much easier if you are familiar with your times tables.
When you compare the denominator 4 to the denominator 20, you see that ...
20 = 5 × 4
An equivalent fraction is made by multiplying by 1. Here, the version of 1 you want for the top fractions is 5/5.
[tex]\dfrac{3}{4}= \dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{3\cdot5}{4\cdot5}=\dfrac{15}{20}[/tex]
Similarly, the bottom fraction has its denominator multiplied by 4 to get from 5 to 20. The equivalent fraction is found by multiplying the numerator by the same number.
[tex]\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}[/tex]
Then the desired difference is ...
[tex]5\dfrac{15}{20}-2\dfrac{8}{20}=(5-2)+\left(\dfrac{15-8}{20}\right)=3\dfrac{7}{20}[/tex]
can you get this answer
Answer:
1/128
Step-by-step explanation:
use formula: an = a1 × r ^ n-1
a1 = 4
r = 0.5
n = 10
a10 = 1/128
what is the total of 8 and 4 times y
Answer:
12y?
Step-by-step explanation:
I’m assuming total meansd addition in this case and multiplying that by a variable or “y” would be 12y
i read the question wrong, nvm.
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16. Which of the following statement fade atrout not thekhe account 2 points)
They are for son tan sonra ay
Theyreareere
Answer:
A because i can boy or girl im just tired
Find the mean,median,mode.and range of the data set:12,15,17,16,10
Answer:
Mean: 14
Median: 15
Mode: All values appear just once
Range: 7
How to you draw 1/2 slope on a graph?
Answer:
the coordiantes for the first few are (0,0) (2,1) (4,2) (6,3) etc
Step-by-step explanation:
wanna know if my answer is correct (C.) please help!!!!
Which of the following is the solution to the equation 2/3x = 12?
A. X= 4
B. X= 8
C. X = 18
D. X = 24
Answer:
the correct answer is C
Step-by-step explanation:
Melissa can ride 20 miles on her bike in 8 hours how many miles can she ride an a hour
Answer:
2.75 miles in 1 hour
Step-by-step explanation:
Walmart sells a 6oz bottle of laundry
detergent for $4.80. What is the priceper ounce?
A. $0.80
B. $0.08
C. $8
D. $0.88
Answer:
.80
Step-by-step explanation:
whos ur celeb crush I need to know mines is the actor of wanda
Answer:
Same!!!!!!!!!!!
Step-by-step explanation:
Answer:
mines Matthew Mercer i dont know if he counts as a celeb cuz he is a famous voice actor
Solving two-step equations:
106 = 1 + 7n
Answer:
n = 15
Step-by-step explanation:
106 = 1 + 7n
1- 1-
-------------------
105 = 7n
÷7 ÷7
------------------
15 = n
your goal is to get the variable by itself
Which two-way frequency table correctly shows the marginal frequencies?
Answer:
B
Step-by-step explanation:
Which graph represents the function f(x)=|x−1|−3 ?
one of the fastest times for 1,500-meter race is 3 minutes and 34 seconds. How many seconds is this time?
Answer:
214 seconds
Step-by-step explanation:
3 times 60 is 180. 180 plus 34 is 214.
wines at $ 4.50 and
$5 per litres are mixed
with a third wine in
the ration 2:3:4.If the mixture Cost $5.20 a litre, what is
the Cost of the third wine?
Answer:
The third wine costs $5.70 per litre
Step-by-step explanation:
so we've got 2 parts $4.50 wine, 3 parts $5 wine and 4 parts x wine. The result is $5.20 per part.
2l*$4.50/l + 3l*$5/l + 4l*x = (2l+3l+4l)*$5.20/l
$9 + $15 + 4l*x = $46.80
4l*x = $22.80
x = $5.70/l
PA = 0.5 PB = 0.3 and p A and b equals 0.15 what is p A or b
Answer:
P(A) = 0.2, P(B) = 0.5, P(A\B) = 0.3:
P(A\B) = P(A and B) P(B)
0.3 = P(A and B) 0.5
0.15 P(A and B)
P(A and B) = 0.15
B. P(A or B) = P(A) + P(B) - P(A and B)
0.2 + 0.5 - 0.15
0.70 - 0.15 = 0.55