Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 4 \times \dfrac{3 \pi}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 6\pi \dfrac{ }{} \: \: units[/tex]
or
[tex]\qquad \tt \dashrightarrow \: arc = 6\times 3.14 = 18.84 \: \: units\dfrac{ }{} \: \: [/tex]
So
Arc length
L=r[tex]\theta[/tex]L=4(3π/2)L=2(3π)L=6πL=18.8unitsRelated Questions
Ty and Leo are walking along linear routes in a city. On a map of the city, Ty's route passes through the coordinates (-1, 3) and (0, 1) and Leo's route passes through the coordinates (1, 4) and (0, 2). Will Ty and Leo pass through a common coordinate, walk along the same route, or never cross routes?
Answers
Answer:
Step-by-step explanation:
hello .....
note : the slope of the line (AB) is :
m = (YB -YA)/(XB - XA)
in this execice given A (-1, 3) and B(0, 1)
m1= (1-3)/(0+1) so : m1= -2
same method for the line (CD) : m2 = (4-2)/(1-0) and C(1;4) D(0;2)
so: m2 = 2
conclusion : m1 ≠ m2
Will Ty and Leo pass through a common coordinate,
Pls help and explain it
Answers
Answer:
(a) School B
you can compare the coverages of A grades for both schools
School A: 25
School B: 50
50 > 25, so school B
(b) School B
School A: 18
School B: 70
70 > 18, so also school B
(c). School B has a higher percentage of nearly all the grades than school A except for D grade.
Which graph represents the solution to the given system? Y=5x+4 and 5=5x-3
Answers
y = 5(x) + 4
for this function,
y-intercept: 4x-intercept:-0.85=5(x)-3
for this function,
y-intercept: nonex-intercept: 1.6There are 7 black cards and 13 red cards. The probability of selecting a red card will be
Answers
Answer:
0.65
Step-by-step explanation:
Add together 7 and 13: there are 20 cards.
Then the theoretical probability of selecting a red card will be:
13
------- = 0.65
20
Answer:
Step-0.65
by-step explanation:
What decimal part of £1 is 40p?
Answers
Answer:
1/40 as a decimal is 0.025.
Makoto and his friends rolled two fair number cubes 500 times and recorded the sum of the
numbers shown on the cubes each time. On 42 of the trials the sum was 10. Which of these is
most likely the probability that the sum of the numbers shown on the cubes is 10 when two
fair number cubes are rolled?
Pls help please explain it clearly pls
Answers
Answer:
25,050
Step-by-step explanation:
The measures of angles A and B are supplementary. What is the measure of each angle?
Answers
Answer:
any angle that can give the 180 degree is the answer but these angle is found face to face each other
What is the value of the 13th coefficient in the expansion of {(a + b)}^{15} ?
3,003
105
455
1,365
Answers
Step-by-step explanation:
the value of the 13th coefficient in the expansion of {(a + b)}^{15} :
(13-1)C15 = 12C15 = 15! / 3!. 12!
= 15×14×13×12! / 3×2×12!
= 2730/6
= 455
What is the radius of circle C?
Answers
Answer:
5
Step-by-step explanation:
Check out the attached photo
9x2+x−8=0
This is class 10, Polynomials chapter.
Please somebody solve this step by step.
Answers
Answer:
Step-by-step explanation:
This figure shows the dimensions of a rail car. The car forms a cylinder with a length of 24 feet and radius of 4 feet.
What is the volume, in cubic feet, of the car? Round your answer to the nearest hundredth.
Answers
Answer:
1206.857, cubic feet
Step-by-step explanation:
(22/7×4²)×24
=1206.857 cubic feet
Cody and Darry each improved their yards by planting day lilies and shrubs. They bought their supplies from the same store. Cody spent $84 on 2 day lilies and 6 shrubs. Darry spent $120 on 6 day lilies and 6 shrubs. What is the cost of one day lily and the cost of one shrub?
Answers
One lily is $9
One shrub is $11
Step-by-step explanation:
Let the lillies be x
Let the shrub be y
2x + 6y= 84.........i
6x + 6y = 120..........ii
Lets make x the subject formula in eq(I)
2x= 84- 6y
x = 42 - 3y........iii
Put the value of x into eq (ii)
6(42-3y) + 6y = 120
252 - 18y + 6y= 120
252 - 12y= 120
12y= 252-120
12y= 132
Y= 11
Put the value of Y into eq (I)
2x + 6(11)= 84
2x + 66= 84
2x= 18
X= 9
Therefore,the cost of one day lily is $9 and the cost of one shrub is $11.
Carlos makes 1 pound of snack mix using nuts, raisins, and cereal. The list below shows how many pounds of nuts and raisins he uses
1/3 pound of nuts 1/5 pounds of raisins
how much cereal in pounds, does Carlos use?
Answers
1/3 is equivalent to 5/15
1/5 is equivalent to 3/15
5/15 + 3/15 = 8/15
7/15 is left to make 1 pound.
» Which sentence about measuring angles is true? An angle that turns through 10 360 of a circle has a measure of 10°. An angle that turns through 1 of a circle has a measure of 1°. 12 An angle that turns through 10 360 of a circle has a measure of 36°. 1) An angle that turns through 1 of a circle has a measure of 12°.
Answers
The correct answer would be: An angle that turns through 10/360 of a circle has a measure of 10°
At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 26 minutes and a standard deviation of 5 minutes. Using the empirical rule, what percentage of customers have to wait between 21 minutes and 31 minutes?
Answers
Answer: 95% of the customers have to wait.
Answer: 68%
Step-by-step explanation:
( Find the Mean Absolute Deviation and the Mean )
How many siblings do the students in my math class have?
3,2,2,5,4,1,3,4,1,0,3,2,1,1,6,3
Answers
Answer:
Mean Absolute Deviation (MAD): 1.3125
Mean: 2.5625
Step-by-step explanation:
.
What is the measure of \angle D∠Dangle, D?
Answers
Answer:
74⁰
Step-by-step explanation:
As in cyclic quadrilateral sum of opposite angles us equal to 180⁰
3. Two of the lines below are parallel. Which two? Justify your answer.
y= 3x - 5 y=-3x + 7 y - 3x = -12 y + 1/3x=8
Answers
Answer:
line 1 and 3
Step-by-step explanation:
Parallel lines have the same slope.
So if we're asked to identify a pair of parallel lines, we can just take a look at the slope (the number before x)
The first one is y=3x-5. Okay.
The second one is y=-3x+7. So the second line isn't parallel to the first line.
The third line is y-3x=12, or y=3x+12.
So the 3rd line is parallel to the 1st line :)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Chris works at a tire store. Chris can change a tire on a rim in 8 to 12 min, with all times in between equally likely. A) What is a probability that Chris changes a given tire in less than 9 min? b) What is the probability that it takes between 9 min and 11. 5 min? c) What is the probability that it takes exactly 10 min?
Answers
So these 5 times are equal to 20% each.
A) Less than 9 minutes means 8 minutes, so 20%.
B) If each minute is equal to 20%, 2.5 minutes (11.5 - 9) are 50%.
C) 20%.
Can someone explain how to get the answer, please? Thanks!
Answers
The median is 10,
And there is no mode.
The mean of a set of numbers is the sum divided by the number of terms,
7+15+12+6+10=50
There are 5 numbers in the set,
50/5=10.
10 is the mean.
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers,
6, 7, 10, 12, 15,
10 is in the middle so it is the median.
The mode is the element that occurs most in the data set. In this case, all elements occur only once, so there is no mode.
Just so you don’t confuse the data with the group sets,
The actual data set is 7, 15, 12, 6, and 10
This data paired with score column or group set means that,
10 people got a score of 1-10
6 people got a score of 11-20
12 people got a score of 21-30
15 people got a score of 31-40
And 7 people got a score of 41-50 :)
What operation does the key word " increase" tell you to do?
Answers
Explanation:
The word "increased" tells us to add a specific number to the addend. Let us take an example to understand the word "increased".
Example: 3 is increased by 4.
⇒ 3 + 4
Notice that the addend (3) is being increased (+) by 4.
it costs 42 dollars for 12 cookies how much is 1 cookie
Answers
Answer:
$3.50
Step-by-step explanation:
if you divide 42 by 12 you get 3.5
please someone help me with this exercise I don't understand it and I really need it
Answers
So equation is 270 minus the amount it has lowered per second. Answer is c.
S gets multiplied by 2.5 because the 2.5 feet decrease happens each second.
Mark as the best!
VOLUME WITH PRISMS! Aubrey decides to estimate the volume of a coffee cup by modeling it as a right cylinder. She measures its height as 8.3 cm and its circumference as 14.9 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary.
Answers
The volume of the cup whose height is 8.3 cm and radius is 2.37 cm in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].
Volume of cup by rounding off nearest tenth = 146.4 [tex]cm^{3}[/tex].
What is volume of Cylinder?
The volume V of a cylinder with radius r is the area of the base B times the height h .
V=Bh or V=π[tex]r^{2}[/tex]h
It is given that,
height= 8.3 cm
Circumference = 14.9 cm
By using the circumference we first find the radius of circular base or top,
Circumference of the circle = 2πr
14.9= 2 x 3.14 x r
14.9= 6.28 x r
r= [tex]\frac{14.9}{6.28}[/tex]
r= 2.37 cm
Hence, the radius of the circle is 2.37 cm.
Volume of cup( cylindrical shape ) = π[tex]r^{2}[/tex]h
= 3.14 x 2.37 x 2.37 x 8.3
= 26.062 x 5.616
= 146.364 [tex]cm^{3}[/tex]
= 146.4 [tex]cm^{3}[/tex] (nearest tenth)
The volume of the cup in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].
Learn more about Volume of cylinder here:
https://brainly.com/question/15891031
#SPJ1
if 7 notebooks $3.85,what is the unit price of the notebooks
Answers
Answer:
0.55
Step-by-step explanation:
I think you would just divide the numbers
Anna and Jack make lemonade. Anna uses 2 cups of lemon juice with 9 cups
of
water. Jack uses 3 cups of lemon juice with 15 cups of water. Whose lemonade
has a stronger lemon taste?
Answers
Answer: Anna
Step-by-step explanation:
First, I will create proportions.
Anna: 2 lemon : 9 water
Jack: 3 lemon : 15 water
Next, I will simplify them.
[tex]\frac{2}{9}[/tex] = Already simplified
[tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]
Now I will give them common denominators and compare. Anna's has a larger lemon to water ratio, so Anna's will have a stronger lemon taste.
[tex]\frac{2}{9}[/tex] * [tex]\frac{5}{5}[/tex] = [tex]\frac{10}{45}[/tex]
[tex]\frac{1}{5}[/tex] * [tex]\frac{9}{9}[/tex] = [tex]\frac{9}{45}[/tex]
Find the x-intercept and y-intercept of the line
4x-6y=36
Answers
Step-by-step explanation:
4x - 6y = 36
x intercept: 9, 0
y intercept: 0, 6
Can someone help me with this?
Answers
Answer:
f (g(x)) = 1/x - 2
Step-by-step explanation:
Given :
f(x) = 1/xg(x) = x - 2To Find :
f (g(x))Solving :
f(x - 2) = 1/x - 2f (g(x)) = 1/x - 2Graph
Solve for x
x = ?
Please hurry! I will give brainliest to correct answer!
Answers
Answer:
23.3786
Step-by-step explanation:
tan33° = x÷36
x = tan33°×36
x = 23.3786
Answer:
23.36
Step-by-step explanation:
We have three things on the diagram :
Angle = 33°Length of adjacent side = 36Length of opposing side = xWhen the opposing side length and adjacent side length is given, always use the tan ratio.
tan = opposite / adjacentFirst, find the numerical value of tan(33°)
tan(33°) = 0.6494 = 0.649Solving :
tan(33°) = x/36 = 0.649⇒ x = 0.649 x 36⇒ x = 23.364 = 23.36May I please get help?, Thanks.
Answers
Let's first try to figure out the whole. Looking at the number line, we can see that the shaded portion of the box goes up to 2 1/3. So, this is our first number.
Then, we need to figure out what 2 1/3 was divided by. This is pretty obvious from the groupings on the box. 2 1/3 was divided by 2/3.
2 1/3 divided by 2/3 = ?
Once again using the box and the groupings, we can see that 2/3 goes into 2 1/3 evenly 3 times, leaving 1/3 left over.
2 1/3 divided by 2/3 = 3 1/2
Correct Answer: A
Hope this helps!