Answer:
3.14 inches
Step-by-step explanation:
diameter=2inches radius =1
The formula for circumference of a circle with radius r is 2πr.
The formula for the area of a circle with radius r is πr²
π≈3.14
So the radius of our circle is
6.28/2π
≈6.28/2×3.14=1
its area is πr²
≈3.14×1²=3.14
question on absolute value
|x +1|+|x −2|=3
(URGENT) Maurice and Rhonda a are traveling in the same direction along the same road. Maurice is traveling at 55 mph and is exactly 15 miles ahead of Rhonda, who is traveling at 65 mph. How many hours will it take Rhonda to catch Maurice?
Answer:
Step-by-step explanation:
Givens
Maurice
55 miles an hour
15 miles ahead of Rhonda
d1
Rhonda
65 miles per hour
d2
The distance has to be the same for both in order to meet.
Formula
d1 = d2
d = r * t where r is the speed.
65*t = 55t + 15 Subtract 55t from both sides
Solution
65t - 55t = 55t - 55t + 15 Combine
10t = 15 Divide both sides by 10
10t/10 = 15t/10
t = 1.5 hours
Answer
They will meet in 1.5 hours.
y varies inversely as x and y = 11 when x = 8. Determine the value of y when x = 16
22
5.5
17
34
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's get started ~
According to question :
[tex]\sf \dashrightarrow y \propto \dfrac{1}{x} [/tex]
[tex]\sf \dashrightarrow y = k\dfrac{1}{x} [/tex]
where, k = proportionality constantNow, we have been given that when y = 11, x = 8
Let's plug these values in equation to find value of k ~
[tex]\sf \dashrightarrow 11 = k \cdot\dfrac{1}{8} [/tex]
[tex]\sf \dashrightarrow k = 11 \times 8[/tex]
[tex]\sf \dashrightarrow k =88[/tex]
we got the value of proportionality constant. now we have been asked to find the value of y when x = 16
So, let's use the equation ~
[tex]\sf \dashrightarrow y = k \cdot\dfrac{1}{x} [/tex]
[tex]\sf \dashrightarrow y = 88\cdot\dfrac{1}{16} [/tex]
[tex]\sf \dashrightarrow y = \dfrac{11}{2} [/tex]
[tex]\sf \dashrightarrow y = 5.5[/tex]
I hope you understood the whole procedure ~
In a normal distribution, 68% of the data fall within how many standard
deviations of the mean?
A. Two standard deviations
OB. One standard deviation
C. It cannot be determined from the given information.
D. Three standard deviations
← PREVIOUS
SURMIT
Using the Empirical Rule, the correct statement regarding where 68% of the data falls within the mean is given by:
B. One standard deviation.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.Hence option B is correct, as 68% of the data is within 1 standard deviation of the mean.
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Coach Jamison wants to celebrate the final win of the school’s softball season with a trio to the local fast food place. The team buys 26 delicious burritos and 27 orders of savory chips for $86.90. A few of the players are still hungry so the coach buys 14 more burritos and 9 more orders of chips for $40.70. If you don’t include tax, what is the price of a burrito and the price of an order of chips?
The price of Burritos is $ 2.2 and the price of savory chips is $1.1
What is system of equations ?
A system of equations is a set or collection of equations that you deal with all together at once.
Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
The price of 26 delicious burritos and 27 orders of savory chips for $86.90
4 more burritos and 9 more orders of chips for $40.70
Let us consider the price of Burritos is x
and the price of savory chips is y
from the first statement we can form the equation
26*x +27*y = 86.9
and from the second statement we can form the equation
14*x + 9*y= 40.70
To determine the price of each we have to solve these system of equations.
On solving using elimination method
16x = 35.2
x = $2.2
and y = $1.1
Therefore the price of Burritos is $ 2.2 and the price of savory chips is $1.1.
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The price of Burritos is $ 2.2 and the price of savory chips is $1.1
What is system of equations ?A system of equations is a set or collection of equations that you deal with all together at once.
The price of 26 delicious burritos and 27 orders of savory chips = $86.90
The price of 14 more burritos and 9 more orders of chips = $40.70
Let us consider the price of Burritos is x
and, the price of savory chips is y
Now,
26x +27y = 86.9
and
14* + 9*= 40.70
On solving above two equation, we get
16x = 35.2
x = $2.2
and y = $1.1
Hence, price of Burritos is $ 2.2 and the price of savory chips is $1.1.
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Segment side a e is 7 inches and side a h is 7 startroot 3 endroot inches. what is the length of side e h? round to the nearest tenth. a cube. the top face has points a, b, d, c. the bottom face has points e, f, h, g. 7.0 inches 9.9 inches 12.1 inches 14.0 inches
The length of the side eh can be found using Pythagoras theorem. Therefore, EH = 9.9 inches
How to use Pythagoras theorem?Pythagoras theorem can be used to find eh.
Therefore,
c²= a² + b²
where
c = hypotenuse sidea and b are the other two legs.Therefore,
AE = 7 inches
AH = 7√3 inches
Therefore,
EH² = ( 7√3 )² - 7²
EH² = 147 - 49
EH = √98
EH = 9.89949493661
EH = 9.9 inches
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Answer: ITS BBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
How many WATTS are used in a 5 amp drill that uses 110 volts?
Calculating wattage is a quick process once you know the appliance's amperage and voltage — you simply multiply the two figures. An appliance that uses 110 volts of electricity and 5 amps uses 550 watts.
Hope this helps!
Teenegers were asked how many times a week they were reminded to do chores. The responses are shown in the graph. What is the mean of the number of times per week that they were reminded?
Answer:
i could help but i don't see the graph chart
Step-by-step explanation:
Use the table below to answer this question:
x y
−1
7
3
3
5
1
Find the average rate of change for the given function from x = −1 to x = 5. (5 points)
−6
−1
1
6
Using it's concept, it is found that the average rate of change of the function from x = -1 to x = 5 is of -1.
What is the average rate of change of a function?It is given by the change in the output divided by the change in the input.
In this problem, the output changes by -6(from 7 to 1) when the input changes by 6(from -1 to 5), hence the average rate is given by:
r = -6/6 = -1.
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Q2 - Distance and average speed
Use the graph to work out
the following correct to 1 dp:
Answer:
See below ~
Step-by-step explanation:
Part 1 - Acceleration when t = 3
Acceleration is constant during the time period t = 0 to t = 4a = change in velocity / change in timea = 22 - 11 / 4 - 0a = 11/4a = 2.75 m/s²Part 2 - Deceleration when t = 12
Deceleration is constant during the time period t = 8 to t = 15Distance covered in the time period = 1/2 x 7 x 22 = 77 mv² - u² = 2aS0 - 484 = 2(77) × aa = -484/154a ≈ -3.14 m/s²Part 3 - Total Distance Covered
Area under the graph gives distanceFrom t = 0 to t = 4S = 1/2 x 11 x 4 + 11 x 4S = 22 + 44 = 66 m2. From t = 4 to t = 8
S = 22 x 4 = 88 m3. From t = 8 to t = 15
77m (found in Part 2)Total distance = 66 + 88 + 77 = 231 m
Part 4 - Average Speed
Avg. Speed (t = 0 to t =4)66/4 = 16.5 m/s2. Avg. Speed (t = 4 to t = 8)
88/4 = 22 m/s3. Avg. Speed (t = 8 to t = 15)
77/7 = 11 m/sAverage Speed = 16.5 + 22 + 11 / 3
49.5/316.5 m/splease help- ive provided an image btw
Answer:
Just plug in the values and then calculate :[tex] \longrightarrow \tt {4}^{2} + 2 + 3 \times 4 + 4[/tex]
[tex] \longrightarrow \boxed{\tt{\: 34}} \: [/tex]
---------- HappY LearninG <3 ------
Answer:
the answer is 34
Step-by-step explanation:
see the image
find the area use 22/7 for π
Answer:
~201
Step-by-step explanation:
Use the area formula: [tex]A=\pi r^2[/tex]
22/7 x 64 = 201.14
which rounds to 201
On Tuesday 1/3 of students were absent. Thursday 1/9 were absent. If 20 more students were absent on Tuesday than Thursday, how many students are there in the school?
Answer:
There are 90 students in this school.
Step-by-step explanation:
Answer:
90 students are in the class
Step-by-step explanation:
So basically, you need to make this ration fraction equation:
[tex]\frac{1}{3} \\\\[/tex] - [tex]\frac{1}{9} \\[/tex] = 20 .
you would come up with 2/9 is 20.
Times it by both sides and you will get 180=2x.
Note this x is added so you will get a variable and not get confused.
Then, your answer would become x=90.
39. Find the probability of selecting a multiple of 2 or a
multiple of 7 from the integers 1-20.
The probability of selecting a multiple of 2 or a multiple of 7 is 11/20 or 0.55 or √0.3025.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of outcome = 20
Total number of favourable outcome (multiple of 2 or a multiple of 7):
E = {2, 4, 6, 7, 8, 10, 12, 14, 16, 18, 20}
n(E) = 11
The probability = 11/20 = 0.55 or
= √0.3025
Thus, the probability of selecting a multiple of 2 or a multiple of 7 is 11/20 or 0.55 or √0.3025.
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The area of a rectangle is 42ft^2, and the length of the rectangle is 11 less than three times the width. Find the dimensions of the rectangle.
Answer:
7 ft ×6 ft
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W ft respectively.
Form 2 equations using the given information:
LW= 42 -----(1)
L= 3W -11 -----(2)
Substitute (2) into (1):
(3W -11)(W)= 42
Expand:
3W² -11W= 42
3W² -11W -42= 0
[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]
Applying quadratic formula:
[tex]W= \frac{ - ( - 11)± \sqrt{( - 11) {}^{2} - 4(3)( - 42) } }{2(3)} [/tex]
[tex]W= \frac{ 11± \sqrt{625 } }{6} [/tex]
[tex]W= \frac{ 11± 25}{6} [/tex]
W= 6 or W= [tex] - \frac{7}{3} [/tex] (reject)
Substitute W= 6 into (1):
L(6)= 42
L= 42 ÷6
L= 7
Thus the dimensions of the rectangle is 7 ft ×6 ft.
Solve the system of equations below: 4x + 6y = 32 3x - 6y = 3
Pls show work
Answer:X=5
Y=
Step-by-step explanation:make sure to add the the simultaneous equations together to take out y so you can work out x then from there work out Y by substituting X in anequation with a number
also here are some practice questions, ask me if you don't get them
Solve for r. -4 + 2r-5r = 17 = [?] r =
Answer:
r = -7
Step-by-step explanation:
-4 + 2r - 5r = 17
=> 2r - 5r = 17 + 4
=> -3r = 21
=> r = 21/(-3)
=> r = -7
How do you find the volume of a square pyramid?
Answer:
to find volume of square pyramid use this formula
Step-by-step explanation:
[tex]volume = \frac{1}{3} a {}^{2} h[/tex]
hello is anyone free to help me?
Probality is given by the ratio of the number of the one type of product to the total number of the product .
so red apple have probality of ⁷/10 which means there are 7 red apple and total of 10 apple
so green apple = 10- 7 = 3 apples
On a coordinate plane, square P Q R S is shown. It has points (0, 4), (4, 4), (0, 0), and (4, 0).
Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other.
Step 1: Calculate the slope of the diagonals.
The slope of diagonal PS is
.
The slope of diagonal QR is
Step 2: Calculate the midpoint of the diagonals.
The midpoint of PS is
The midpoint of QR is
.
The diagonals of the square are perpendicular bisectors because the diagonals are
Answer:
Step-by-step explanation:
Answer: The answers are: -1, 1, (2, 2), (2, 2), & perpendicular and share the same point.
Step-by-step explanation: Trust Me! Answer is correct in Edge.
Good Luck! :)
The slope of diagonal PS is -1 The slope of diagonal QR is 1The midpoint of PS is (2, 2) The midpoint of QR is (2, 2)The diagonals of the square are perpendicular bisectors because the diagonals are perpendicular and share the same point.The area of a rectangle is 6x^2+8x+2. The length of the rectangle is 3x+1. What is the width?
Answer:
A=L*W
Step-by-step explanation:
6x²+8x+2=LX(3x+1)
2x+2
Solve for x.
4^0.2x + 6 = 43, enter your answe with four decimal places.
Answer:
13.0236
Step-by-step explanation:
4^0.2x +6=43
(2^2)^0.2x +6=43
2^2*0.2x +6=43
Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
7 inches
11 inches
15 inches
5 inches
Please Help!
The width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
Volume of the box = l×w×h
150 = l×w×h
h = 2 in
l = 10+w
150 = (10+w)(w)(2)
150 = 2w(10+w)
After solving, we get:
w = 5 or w = -15
Width cannot be negative.
w = 5 in
Thus, the width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.
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How do I do this? Please help
Answer:
720km
Step-by-step explanation:
12000 steps = 2 feet * 12000 = 24000 feet
= 24000 * 12 inches = 288000 inches = 288000 * 2.5 cm
= 720000cm = 720000 / 1000 = 720km
Is this true or false
Answer:
False
Step-by-step explanation:
Range can be calculated by taking the difference of the lower limit and upper limit of the data
The Upper limit here is 8.5 (considering) and lower limit is 4
So,
R= 8.5-4
R=4.5
The given says it is 2.5 so it is false.
Point C is on line segment \overline{BD}
BD . Given CD=2CD=2 and BD=17,BD=17, determine the length \overline{BC}.
BC .
15
Step-by-step explanation:The segment addition postulate states that if AC is a line with point B, then AB + CD must equal AC.
Setting Up the Equation
Using the postulate above we can set up an equation that is set equal to BD.
BC + CD = BDNow, rewrite this using the information we are given in the question.
BC + 2 = 17Solving For BC
Now, we can solve this equation using the properties of equality.
BC + 2 = 17To solve you need to isolate BC. Do this by subtracting 2 from both sides.
BC = 15This gives us the answer, 15.
Using the points ( 6.4, 117) and (6.6, 120), what is the slope of the trend line?
a. -15
b. -12
c. 12
d. 15
Answer:
d 15.
Step-by-step explanation:
Slope = (difference in y values)/ (corresponding difference in x values)
So we have:
Slope = (120-117) / (6.6-6.4)
= 3 / 0.2
= 30/2 = 15.
a birthday cake is divided equally between 9 people what fraction of the cake does each person have?
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
A birthday cake is divided equally between 9 people.
What fraction of the cake does each person have?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}[/tex]
[tex]\ast[/tex] Remember, a fraction looks like:-
[tex]\boxed{\frac{\xrightarrow{numerator}x}{\xrightarrow{denominator}{y}}}[/tex]
Where:-
numerator -> number of parts takendenominator -> total parts
In this case we divide a cake equally between 9 people, so we divide the cake into 9 parts, and each person gets a part of the cake.
So we have a fraction as follows:-
[tex]\dfrac{?}{9}[/tex]
Now, each person gets 1 part. 1 becomes our numerator:-
[tex]\dfrac{1}{9}[/tex]
[tex]\uparrow\sf{Our\:Answer}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
12
What is the slope of the line that passes through the points (2, 3) and (8, 6)?
Answer:
Here is the ans...hope it helps
Helpppp pleaseeeee is
Answer:
Step-by-step explanation:a(1/2 - 1/8)/(2 - 1/2)
a. (4/8 - 1/8)/(4/2 - 1/2)
3/8 / 3/2
3/8 x 2/3 = 2/8 = 1/4
y - 1/8 = 1/4(x - 1/2)
y - 1/8 = 1/4x - 1/8
y = 1/4x
b. (1400 - 1200)/(1000 - 500)
200/500 = 2/5
y - 1200 = 2/5(x - 500)
y - 1200 = 2/5x - 200
y = 2/5x + 1000
c. (41.85 - 13.95)/(3 - 1)= 27.90/2 = 13.95
y - 13.95 = 13.95(x - 1)
y - 13.95 = 13.95x - 13.95
y = 13.95x
d. (2.34 - 0)/(15 - 0)= 2.34/15 = .16 or .156
y = .16(x - 0)
y = .16x
or y = .156x