Answer:
[tex] l(\widehat {KM}) = 15.07 \: units[/tex]
Step-by-step explanation:
[tex] Central\: angle \:(\theta) = 96\degree [/tex]
Radius (r) = 9 units
[tex]l(\widehat {KM}) = \frac{ \theta}{360 \degree} \times 2\pi r \\ \\ l(\widehat {KM}) = \frac{96 \degree}{360 \degree} \times 2 \times 3.14 \times 9 \\ \\ l(\widehat {KM}) = \frac{96 }{360} \times 2 \times 3.14 \times 9 \\ \\ l(\widehat {KM}) = \frac{5,425.92}{360}\\ \\ l(\widehat {KM}) = 15.072\\ \\ l(\widehat {KM}) = 15.07 \: units[/tex]
A clock is set to ring every 15 minutes whereas another clock is set to ring every 25
minutes. If both the clocks ring together at 4:00 p.m., find the time at which both
clocks will subsequently ring together again.
Answer:
At 5:15 PM , they will ring together.
Step-by-step explanation:
We have been given that first bell rings every 15 minutes and second bell rings at every 25 minutes.
In order to find when both will ring together again, we can find the LCM of these two numbers.
15 = 3 × 5
25 = 5 × 5
Therefore, LCM of these two numbers is
LCM = 5 × 5× 3
LCM = 75
Hence, 75 minutes = 75/60 = 5/4 hours
Therefore, at 5:15 PM , they will ring together.
At 5:15 PM the clocks will ring together.
What is Least Common Multiple?In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.
Given:
A clock is set to ring every 15 minutes whereas another clock is set to ring every 25 minutes.
In order to find when both will ring together again, we have to find the LCM of 25 and 15 as
15 = 3 × 5
25 = 5 × 5
LCM (25, 15) = 5 × 5× 3
= 75 min
= 1 hour 15 minutes.
Hence, At 5:15 PM the clocks will ring together.
Learn more about least common multiple here:
https://brainly.com/question/30060162
#SPJ2
Mr. Dilbert's rectangular swimming pool is surrounded on all sides by a 4-foot wide brick walkway, as shown below.
WALKWAY
19 feet
5 feet
What is the area of the walkway?
A 192 ft2
B. 247 ft? C . 96 ft2 D. 302ft2
Answer:
Step-by-step explanation:
The area of the walkway will be 96 square feet. The correct option is C.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the dimensions of the crosswalk are,
19 feet
5 feet
The area of the cross-walk will be calculated as below,
Area = Length x Width
Area = 19 x 5
Area = 96 square feet
Therefore, the area will be equal to 96 square feet.
To know more about the area of the rectangle follow
https://brainly.com/question/25292087
#SPJ2
7/2 = x/11 does anyone know the answer?
Step-by-step explanation:
[tex] \frac{7}{2} = \frac{x}{11} \\ 2x = 77 \\ x = \frac{77}{2} \\ x = 38.5[/tex]
The angle marked a = 48°.
Work out the angle marked x.
Answer:
x =48° because it alternates with angle a
Alternate angles are equal.
please help me with this
r(-4)=(-4+1)(-4-3)
Answer: r= 5 1/4
Step-by-step explanation:
In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new
price for a total of $5.88.
Write an equation to determine the original price per pound (p).
Find the original price per pound.
$
Answer:
The equation is;
3(x + 0.75) = 5.88
The original price is $1.21
Step-by-step explanation:
Let the original price per pound be $x
By going up, the new price will be;
(x + 0.75)
3 times this is the new price;
3(x + 0.75) = 5.88
3x + 2.25 = 5.88
3x = 3.63
x = 3.63/3
x = $1.21
PLS HELP! DUE TODAY AND WILL MARK BRAINLIEST
3. Find x.
Find the value of x.
A) 3.5
B) 7
C) 7.5
D) 10
Answer:
I believe the answer is D: 10
Step-by-step explanation:
If the other line is 2 segments of 5 and from the center to both lines is the same then x and the other line should be equal
In a company's first year in operation, it made an annual profit of \$333,500$333,500. The profit of the company increased at a constant 8% per year each year. How much profit would the company make over the course of its first 24 years of operation, ?
P × R × T ÷ 100
333,500 × 8% ×24 ÷ 100
64,032,000÷100
640,320
The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.
Calculation of the amount of profit:Since annual profit is $333,500
The profit percentage should be likely 8%
And, the number of years should be 24
So, the amount of profit should be
[tex]= $333,500 * (1 + 0.08)^{24[/tex]
= $2,114,784
hence, The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.
Learn more about profits here: https://brainly.com/question/10176219
Please help we are doing an escape room
Answer:
15 7 10 15 5
Step-by-step explanation:
• Solve the application problem.
The length of a rectangle is į ft. Its width is 1į ft. What is its perimeter?
What is the area of the triangle Please answer quick
Answer:
A = 25 in^2Step-by-step explanation:
[tex]area = \frac{1}{2} b \times h \\ area = \frac{1}{2} (10)(5) \\ area = 5 \times 5 \\ area = 25 \: {in}^{2} [/tex]
I hope that is useful for you
If I asked you is 5 a solution to the equation p +13= 21, how would you determine whether or not 5 works?Plz help I'll mark brainliest Thxs
Answer:
All you have to do is replace p with 5, and see if it works. In this case it doesn't because 5+13 does not equal 21.
Answer:
Not a solution
Step-by-step explanation:
You would plug 5 into the equation where it says p. If 5+13=21, then it is a solution. If it equals to something different, then it is not a solution. In this case, it adds up to 18, making it not a solution.
someone please help me fill in the blanks!!!!
Answer:
USE PHOTOMATH OR CYMATH UR WELCOME
Step-by-step explanation:
Answer:
#2 is 2^-9. #3 is 1/6^15. #4 is 10^8.
Step-by-step explanation:
Remember that with exponents, division is subtraction, and multiplcation is addition.
So for the first problem, 2^-5 / 2^4 is really:
2^-5-4
This is simply 2^-9 power.
Next we have (6^-3)^5. I dont mean to confuse you, so just remember. When, and ONLY when and exponent is INSIDE parentherse, can it be multplilied by another exponent that is OUTSIDE of the parenthesese. SO we can write this as:
6^-3*5
This equals:
6^-15
Which can further be simplyfied to:
1/6^15
Countinuing on we have 10^-12 / 10^-20. Since we are dividing, we subtract to exponenets. So we can write this as:
10^-12 - -20
This is just 10^8 power.
Hope this helps! :)
Find the value of x. Simplify in simplest radical form.
Answer:
x is 13.03
Step-by-step explanation:
Start by determining the length of the horizontal side of one of the triangles shown. The Pythagorean Theorem applies here:
(horizontal side)² + 17² = 19², so that:
(horizontal side)² + 17² = 19² - 17², or 72
Then the length of the horizontal side is +√72, or √36√2, or 6√2.
From the diagram it is obvious that the width of the rectangle, x, can be found by subtracting twice the length of the horizontal side of one of the triangles from 31 (base of the entire figure):
x = 31 - 2(6√2) = 13.03
x is 13.03
Find the value of the third quartile (the median of the upper half of the data set). 52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72 i need it instantly cause i have that question pulled up
Answer:
64.5
Step-by-step explanation:
You understand the question, and already have the numbers in order, you're almost there!
So you need to find the median first so you can divide the data set into the upper and lower halves. The median, as you probably know, is the center of the data. What I do for this is list all the numbers out in order, like you've already done, and start crossing them out, one at a time, alternating the sides. I'll show you what I mean. (I'm using underline because there's no strikethrough.)
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
...and so on, until you have:
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
Because there's an even number of numbers, the median is the mean of the middle two numbers. Luckily, though, the two numbers in the middle are the same:61. Mean is calculated by adding the terms and dividing by the number of terms. In this case:
(61+61)/2
=61
(You didn't really have to do this mean step, but I'll explain later.)The median is 61. Another way you could have done this is by just counting the number of terms (20) and finding the middle one. Again, since there's no middle one, you'd have to find the mean.
Since you're looking for the third quartile and not the median, you didn't exactly have to do that step. I just wanted to explain how to calculate the median, since you'll have to do it in the next step. All we had to do here was divide the data set into the halves, so we used that visual demonstration by underlining the numbers one at a time. We didn't have to find the mean, we could have split the set down the middle instead.
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, | 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
^median/half-way point
We could have also divided the number of terms (20) by 2 (because halves, 2 parts) to get 10 and used the upper 10 values of the set, but I don't know, the crossing out method helps me. Anyway, now we have to look at just the upper 10 values:
61, 62, 63, 63, 64, 65, 65, 68, 70, 72
And you repeat the process! (I'm not going to show the underlining though lol)
There are 10 terms, so the median is between the 5th and the 6th. (10/2=5)
61, 62, 63, 63, 64, 65, 65, 68, 70, 72
This is what I was talking about, there are an even number of values in the upper half of the data set as well, so we have to find the mean of the middle 2: 64 and 65.
(64+65)/2
=129/2
=64.5
That's your final answer. Hope I could help you!
Answer:
64.5
Step-by-step explanation:
i just answered and got it right
b) Complete the frequency polygon
to represent the data.
Here are the heights of 20 students
measured in cm:
92 86 97 105
106 101 95 98
89 107 101 100
108 97 96 90
99 102 87 92
8
7
6
Frequency
3
a) Complete the frequency table.
Height, h cm Frequency
85 < h < 90
4
90 < h < 95
95 <h <100
100 <h <105
2
1
0
85
90
105
110
105 <h <110
I
95 100
Height, h (cm)
The completed frequency table is given as follows:
85 < h ≤ 90: 4.90 < h ≤ 95: 3.95 < h ≤ 100: 6.100 < h ≤ 105: 4.How to construct a frequency table?A frequency table is constructed counting the number of observations for each interval in the data-set.
Hence:
The input is the set of intervals of the data-set.The output is the number of observations in the desired interval.Between 85 and 90 there are 4 observations, given as follows:
86, 89, 90, 87.
Between 90 and 95 there are 3 observations, given as follows:
92, 95, 92.
Between 95 and 100 there are 6 observations, given as follows:
97, 98, 100, 97, 96, 99.
Between 100 and 105 there are 4 observations, given as follows:
105, 101, 101, 102.
Between 105 and 110 there are 3 observations, given as follows:
106, 107 and 108.
These numbers of observations were used to construct the frequency table, given at the beginning of the answer.
More can be learned about frequency tables at https://brainly.com/question/16148316
#SPJ1
Someone help me please
Answer:
x=4
Step-by-step explanation:
21^3 times 4^2 brainly for the correct n nice answer
Answer:
148176
Step-by-step explanation:
Answer:
148176
Step-by-step explanation:
21^3 = 9261
4^2 = 16
9261 × 16 = 148176
brainliest is appreciated
MARKING BRAINLIST IF THESE TWO ARE ANSWERED‼️‼️‼️
Anime club: 500 - 30y
Computer club: 150 + 20x
*you could use any letter(variable) you like*
18. m21 S 21. Guided
Answer:
Step-by-step explanation:
say what is this about the phone
If the perimeter of a square is 20 cm, what is its area?
Answer:
25cm
Step-by-step explanation:
each side is 5cm so multiple 5cm times 5cm then you get 25cm
Answer:
25cm^2
Step-by-step explanation:
P=4a
20=4a
a=5
A=a^2
A=5^2
A=25 cm^2
Which solid has the top, the side, the front views given?
Answer:
The answer is H
Step-by-step explanation:
Who are you.....????
Answer:
my name is not five weenies, I am Shoto from UA and I wanna be a hero.
Answer:
a sad 16 year old female with severe daddy issues *internal sighing*
Step-by-step explanation:
Please help ty :)
The value of x is___
and the value of y is___
Answer:
x = 60
y = 50
Explanation:
in a triangle, the sum of all its angles should be 180°. so, to find x, we can subtract the known values from 180° like this:
180° - 50° - 70° = 60°
thus, x is 60.
using the same method, we can find the remaining angle of the other triangle:
180° - 50° - 60° = 70°
now, we know the values of x and the angle next to it. on a straight line, the sum of angles also adds up to 180°. therefore:
180° - 60° - 70° = 50°
i hope this helps! :D
3(2x – 1) is 15 more than 8 what is the value of x?
1. Distribute or open parenthesis
= 6x-3
15+8= 23
2. Solve
6x-3 = 23
Subtract 3 on both sides
6x= 20
Divide both side by 6
x= 20/6
x= 3.333 or 3 1/3
The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulting fraction is equivalent to 5/7 . What is the original fraction?
Answer:
5/9
Step-by-step explanation:
Let the denominator be x and numerator be y.
Given, numerator is 4 less than denominator
=> y = x - 4 ...(1)
When 5 is added to both:
Numerator = y + 5 , and, denominator = x + 5
Now their ratio is 5/7.
=> (y + 5)/(x + 5) = 5/7
=> 7(y + 5) = 5(x + 5)
=> 7y + 35 = 5x + 25
=> 7y - 5x = 25 - 35
=> 7(x - 4) - 5x = -10 {y=x-4}
=> 7x - 28 - 5x = -10
=> 2x = 18
=> x = 9
Thus,
Fraction is y/x = (x-4)/x = (9-4)/9 = 5/9
10
B
с
63°
9
A
D
What is m 2D?
m2D =
Answer:
Do you have a picture or can you explain more?
Step-by-step explanation:
find the area of the following
Answer:
1/2×5×(10+6)= 120
hope this helps pls give me brainles
Answer:
50in
Step-by-step explanation:
to find the area of a parallelogram the formula is A=b*h. which is
10*5.
A rectangle with an area of 37 units2 is dilated by a scale factor of 2. Find the area of
the rectangle after dilation. Round your answer to the nearest tenth, if necessary.
Answer:
74
Step-by-step explanation:
37x2=74
help pleaseeee asapppp
The value of a gold coin picturing the head of the Roman Emperor Domitian is increasing at the rate of 6% per year. If the coin is worth $155 now, what will it be worth in 14 years?
Question 6 options:
$239.00
$285.20
$294.72
$350.44
Answer:
anything :P
Step-by-step explanation: