Answer:
9.425cm
Step-by-step explanation:
The formula for the circumference of a circle is :[tex]\pi *diameter[/tex]
To work this out you would simply multiply the diameter of 3 cm by pi, which gives you 9.425.
1) Multiply pi by 3.
[tex]\pi *3=9.425[/tex]
The radius is half of the diameter.
The answer has been rounded to 3 decimal places.
Please Help me!!
(√16)^2 in simplest form
Answer:
16
Step-by-step explanation:
square root of 16 is 4, and 4^2 = 16
Answer:
16
Step-by-step explanation:
The square cancels out the square root.
A bee flaps its wings about 82,800 times an hour, and a hummingbird flaps its wings about 28,800 times an hour.
About how many times faster does a bee flap its wings than a hummingbird?
Estimate using a single digit times a power of 10.
Answer: About 2.875 times more than a hummingbird
Step-by-step explanation: The way you can solve this problem is just by dividing 82,800 by 28,800. If you want to check your work multiply 28,800 and 2.875.
A bee flaps its wings approximately 3 times faster than a hummingbird.
Explanation:Bee: 82,800 times/hour ≈ 8.3 × 10^4 times/hour
Hummingbird: 28,800 times/hour ≈ 2.9 × 10^4 times/hour
Now, let's compare the two estimates:
8.3 × 10^4 (bee) is approximately 3 times faster than 2.9 × 10^4 (hummingbird).
So, a bee flaps its wings about 3 times faster than a hummingbird.
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Which cylinders have the same volume as the cylinder below? Check all that apply. A cylinder with height of 32 meters and diameter of 20 meters.
A cylinder with height of 16 meters and diameter of 40 meters.
A cylinder with height of 64 centimeters and diameter of 5 meters.
A cylinder with height of 8 meters and diameter of 40 meters.
A cylinder with height of 64 centimeters and diameter of 10 meters.
A cylinder with height of 20 meters and diameter of 32 meters.
A cylinder with height of 128 meters and diameter of 10 meters.
Upon calculating the volume of the given cylinder and comparing it with each option, it is determined that none of the provided cylinders have the same volume as the cylinder with a height of 32 meters and a diameter of 20 meters.
Explanation:The question is asking which cylinders have the same volume as a cylinder with a height of 32 meters and a diameter of 20 meters. To find this out, we first calculate the volume of the given cylinder. The formula for the volume of a cylinder is[tex]V = \(\pi r^2h\)[/tex], where V is the volume, [tex]\(r\) i[/tex]s the radius of the base, and h is the height of the cylinder. In this case, the radius (half of the diameter) is 10 meters, so the volume is:
[tex]V = \(\pi (10)^2 \times 32\) = 320\(\pi\) cubic meters.[/tex]
Now, let's check each option:
A cylinder with height of 16 meters and diameter of 40 meters has a volume of 16[tex]\(\pi (20)^2\) = 6400\(\pi\)[/tex] cubic meters, which is not equal.A cylinder with height of 64 centimeters and diameter of 5 meters is not comparable without conversion and does not match.A cylinder with height of 8 meters and diameter of 40 meters has a volume of[tex]8\(\pi (20)^2\) = 3200\(\pi\)[/tex]cubic meters, which is not equal.A cylinder with height of 64 centimeters and diameter of 10 meters is not comparable without conversion and does not match.A cylinder with height of 20 meters and diameter of 32 meters has a volume of [tex]20\(\pi (16)^2\) = 5120\(\pi\)[/tex]cubic meters, which is not equal.A cylinder with height of 128 meters and diameter of 10 meters has a volume of [tex]128\(\pi (5)^2\) = 3200\(\pi\)[/tex] cubic meters, which is not equal.Therefore, none of the provided options have the same volume as the given cylinder.
The cylinders with heights and diameters of 16 meters and 40 meters, and 128 meters and 10 meters, respectively, have the same volume as the given cylinder.
To find cylinders with the same volume as the given cylinder (height = 32m, diameter = 20m), we calculate its volume and compare it with the volumes of the listed cylinders. Cylinders with heights and diameters of 16 meters and 40 meters, and 128 meters and 10 meters, have the same volume as the given cylinder.
The question involves finding which cylinders have the same volume as a cylinder with a height of 32 meters and a diameter of 20 meters. To solve this, we first calculate the volume of the given cylinder using the formula for the volume of a cylinder, V = πr²h, where r is the radius (half of the diameter) and h is the height.
The volume of the given cylinder is V = π(10²)(32) = 320π cubic meters. We then apply the same formula to each of the listed cylinders, converting dimensions to the same units where necessary, to identify which ones have the same volume.
A cylinder with height of 16 meters and diameter of 40 meters has a volume of 320π cubic meters, which matches.A cylinder with height of 8 meters and diameter of 40 meters does not match because its volume is 160π cubic meters.A cylinder with height of 128 meters and diameter of 10 meters also has a volume of 320π cubic meters, which matches.Therefore, the cylinders with heights and diameters of 16 meters and 40 meters, and 128 meters and 10 meters, respectively, have the same volume as the given cylinder.
help! must be right!
Answer:
326.60 in²
Step-by-step explanation:
[tex]2 \times 3.14 \times 4(4 + 9) \\ = 2 \times 3.14 \times 4(13) \\ = 2 \times 3.14 \times 52 \\ = 326.56 \: {in}^{2} \\ = 326.60 \: {in}^{2} [/tex]
It is $100 to rent a room at Johnny's Jumpy Party Place, and it is $7 extra per child for pizza, drink, and a party bag.
Write the equation in slope intercept form for the situation above.
A
y= 100x + 7
B
y = 7x +100
C
y = -7x + 100
D
y= 7x - 100
Answer:
B
y=7x +100
Step-by-step explanation:
$100 for one room
1 or more kids
$7 per kid
so, the answer is y= 7x + 100
People who invest at the earliest stages of a business and therefore take a bigger risk are called______
investors.
Answer:
These are called angel investors.
Step-by-step explanation:
Angel investors are investors that invest at earlier stages of a business. This is though, inherently risky. I hope my answer helps.
50 POINTS!
The function h(x) = x2 + 6x + 7 represents a parabola.
Part A: Rewrite the function in vertex form by completing the square. Show your work.
Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know?
Part C: Determine the axis of symmetry for h(x).
Answer:
A. (x + 3)² - 2
B. (-3,-2); min
C. x = -3
Step-by-step explanation:
x² + 6x + 7
x² + 2(x)(3) + 3² - 3² + 7
x² + 2(x)(3) + 3² - 9 + 7
(x + 3)² - 2
Vertex: (-3 , -2)
It's a concave up, so minimum
Line of symmetry is x = h
x = -3
a 60%
b 40%
c 38%
d 5%
Answer:
A
Step-by-step explanation:
wednesday thursday and friday amount to 60%
Find the volume of the cone. Round your answer to the nearest tenth If necessary. Use 3.14 for a.
18 cm
7 cm
The volume of the cone is about
cm?
Answer:
The answer is 923.6 cm
Latifah drew this obtuse, scalene triangle.
She will draw a congruent triangle and use it to form a 4-sided polygon. What type of quadrilateral could it be?
a quadrilateral that is a parallelogram
a rectangle that is not a rhombus
a rhombus
a square
A triangle is a three-edged polygon with three vertices. The correct option is A.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
Since the triangle is a scalene triangle, all the sides of the given polynomial can not be equal. Therefore, it can not be a rhombus or a square.
Also, it is given that the triangle is an obtuse triangle therefore, there will be no angle with a 90° measurement. Thus, it can not be a rectangle.
Hence, the correct option is A.
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Evaluate (x + y)0 for x = -3 and y = 5.-012
Answer:
0
Step-by-step explanation:
(x+y)0
(-3+5.-012)0
0
anything times 0 is 0
hi:) if the question says that the line meets the curve , does it mean that it intersects the curve or does it touch the curve only?
Answer:
Touches only.
Step-by-step explanation:
It only touches the curve at one point. The line is a tangent to the curve and does not cross it.
If you have a ball resting on a table the table is a tangent to the curve of the ball.
Divide −875 by −25.
Answer:
35
Step-by-step explanation:
a negative and a negative equals a positive
The temperature in Chicago is dropping at a rate of 1 degree every 4 hours when it was 10 degrees outside. The temperature in Pittsburgh was increasing at a rate of 3 degrees every 4 hours when it was 2 degrees outside. How long will it take the two cities to reach the same temperature? What is the temperature at that time?
Answer:
Chicago after 8 hrs it dropped to 8 degrees and at pittsburgh after 8hrs passed it reached to 8degrees outside
so after 8hrs the cities reached the same temperature which is 8degrees
Step-by-step explanation:
10-1=9 then 9-1=8
1= each degree that dropped every 4 hours
how much are the wages if you pay time and half for 4 hours(normal rate $10 per hour)
Convert 12/5 to a decimal using long divsion.
Answer:
2.4
Step-by-step explanation:
Answer:
To convert to a decimal, divide numerator by denominator.
To convert the decimal to a percentage multiply by
100
%
Explanation:
5
12
=
0.416666
...
...
.
0.41666
...
.
.
×
100
%
=
41.66666
%
...
.
.
Rounding off to nearest percent gives
42
%
Step-by-step explanation:
A new printer can print a batch of newsletters twice as fast as an older printer. With both printers working together, the newsletters can be printed in 45 minutes. How long would it take the newer printer working alone?
Answer:
It would take 1 hr, 7 min, 30 sec for the newer printer to work alone.
Step-by-step explanation:
x/1.5=45
45*1.5=67.5 minutes
67.5 minutes = 1 hr, 7 min, 30 sec
Final answer:
The time it would take for the new printer working alone to print a batch of newsletters is 67.5 minutes. This is determined by setting up an equation based on the combined work rates of the new and old printers.
Explanation:
The student is asking how long it would take for a new printer, which can print twice as fast as an older printer, to complete printing a batch of newsletters on its own if both printers can finish the task together in 45 minutes. This question involves setting up and solving a problem related to rates of work.
Let's denote the time it takes for the new printer to print the newsletters alone as T minutes. Since the new printer works twice as fast as the old printer, the old printer would take 2T minutes to do the job alone. When working together, they can finish the task in 45 minutes.
We can set up the equation based on their combined work rates like this:
1/T (new printer's rate) + 1/(2T) (old printer's rate) = 1/45 (combined rate).
Let's solve for T:
Calculate the combined rate of the printers: 1/T + 1/(2T) = 1/45
Combine the fractions on the left side: (2 + 1) / 2T = 1/45
Simplify the fraction to get a common denominator: 3 / 2T = 1/45
Cross-multiply to solve for T: 3 * 45 = 2T
Calculate T: 135 = 2T
Divide both sides by 2: T = 135 / 2
Finish solving: T = 67.5
Therefore, the new printer working alone would take 67.5 minutes to print the batch of newsletters.
Yoko is trying to save money for a new bicycle. She sets up a budget as shown below. Yoko’s Monthly Budget Description Income Positive Expenses Negative Earnings (babysitting) $125 Earnings (bagging groceries) $55 Entertainment $25 Snacks $10 Transportation $25 Clothing $35 Amount available for savings: $ How much money will Yoko have left over for her savings each month? $85 $95 $110 $120
Answer:
$85
Step-by-step explanation:
Earning:
$125 + $55 = $180Spending:
$25 + $10 + $25 + $35 = $95Amount available for saving:
$180 - $95 = $85Answer: $85
Step-by-step explanation: Took the test and got it correct
9. A school long-jump
team is competing
at the Aberfoyle
international track
meet. Kurt jumps
an average of 4.6 m,
and Jared jumps an
average of 4.4 m.
Each boy's score
is the sum of the
lengths of his jumps.
The team score is
the sum of the
scores of both boys.
a) Write an algebraic expression that
represents Kurt's score if he jumps
k times.
b) Write an algebraic expression that
represents Jared's score if he jumps
j times.
c) Use your results in parts (a) and (b) to
write an algebraic expression for the
team score.
d) Evaluate your expression in part (c) to
determine the team score if Kurt jumps
5 times and Jared jumps 4 times.
Can anyone help me I don't get it
Answer: (A) Kurt's expression; x = 4.6k
(B) Jared's expression; y = 4.4j
(C) Team's score; z = 4.6k + 4.4j
(D) Team score = 40.6 m
Step-by-step explanation: In order to calculate the average of a given set of data, the formula is to sum up the given data or values and then divide the sum total by the number of values observed. That means, if for instance a student jumps 10 times, his average would be given as the sum of all 10 distances jumped divided by 10. If the sum derived equals 50, then the student's average is 50 divided by 10. In other words;
Average = (∑x)/x
When we cross multiply, this can also result in
Average*x = ∑x
The question has given us the average for both students, hence we can derive their average as described above. If Kurt jumps k number of times, then his average jump will be;
4.6 = (∑k)/k
And remembering that Average*x is the same value as ∑x, we substitute for the value given in the question, which is k. Hence,
4.6*k = ∑k
Note that the total score for each boy can now be determined as the average calculated times the total number of jumps, that is, working backwards. Hence, Kurt's total score is 4.6k.
(a) If we represent Kurt's score as x, then we can express his score as
x = 4.6k ------(1)
(b) If we represent Jared's score as y, then we can express his score as
y = 4.4j ------(2)
(c) The team score is the sum of the scores of both boys. Hence, if the boys scores have been written in terms of x and y then the team score shall be represented by z. Therefore we now have;
z = x + y
z = 4.6k + 4.4j
(d) If Kurt jumps 5 times then his total score will be
x = 4.6k
x = 4.6(5)
x = 23 m
If Jared jumps 4 times then his total score will be
y = 4.4j
y = 4.4(4)
y = 17.6 m
The team score therefore is determined as
z = x + y
z = 23 + 17.6
z = 40.6
The team score is a total of 40.6 m
The length of the segment from a point c _____ to the line AB gives the distance from point c to the line ab brainly
Answer:
A. Perpendicular
Step-by-step explanation:
When lines and/or points are in perpendicular to one another, the perpendicularity line between them measures the distance between both points and/or lines.
So to measure the distance between point c and line AB, a perpendicular line has to be drawn from c to AB or from AB to c. Either of these will arrive at the same result.
It should also be noted that the angle at the point of intersection of perpendicular lines is 90°.
help please. i need it fast!!
Answer:x= 65 acute triangle
Step-by-step explanation:
4.Is it sometimes, always, or never true that, if A and B both have dimensions n x n , AB=BA ? Explain.
Answer: Is true sometimes.
Step-by-step explanation:
I guess that here we have two matrices, A and B, that are nxn.
We can see that if those matrices can conmutate, then we can try it with some simple matrices.
[tex]A = \left[\begin{array}{ccc}1&0\\0&-1\end{array}\right] . B = \left[\begin{array}{ccc}2&0\\1&1\end{array}\right][/tex]
Here, we would have that:
[tex]AB = \left[\begin{array}{ccc}2&0\\-1&-1\end{array}\right][/tex]
[tex]BA = \left[\begin{array}{ccc}2&0\\1&-1\end{array}\right][/tex]
You can see that AB and BA are different, then the statement is not always true.
But it is true sometimes, if A or B are the identiti, then I*A = A*I, in this case would be true.
It is also true if A and B are diagonal matrices, let's prove it:
[tex]A = \left[\begin{array}{ccc}a&0\\0&b\end{array}\right] , B = \left[\begin{array}{ccc}c&0\\0&d\end{array}\right][/tex]
[tex]AB = \left[\begin{array}{ccc}ac&0\\0&bd\end{array}\right] = BA[/tex]
When the function f(x) = 4(2)x is changed to f(x) = 4(2)x – 13, what is the effect?
There is no change to the graph because the exponential portion of the function remains the same.
The x-intercept is din spaces higher.
The y-intercept is 13 spaces lower
All input values are moved 13 spaces to the left.
Answer:
the y- intercept is moved 13 spaces down. this also changes your x-intercept.
Step-by-step explanation:
Answer:
it is moved 13 spaces lower
What is the sum of the areas of circle C and circle D?
7Tt units?
141 units
491 units?
981 units?
So look at the pictures it is asking what P(n)= ?
? Should = what the average is
Answer:
D
Step-by-step explanation:
An isosceles triangle has legs that measure 10 feet. If the height of the triangle is 7 feet, find the length of its base
Answer:
14.2 feet
Step-by-step explanation:
I rounded off to 1 decimal place
The length of the base of triangle in the given case is 14.28 feet.
What is Pythagoras theorem?Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².
The diagram for the given problem can be shown below,
Here, AB = AC = 10 feet and AD = 7 feet.
Apply pythagoras theorem in ΔABD to get,
AD² + BD² = AB²
Substitute the corresponding values to obtain,
BD² = 10² - 7²
⇒ BD = 7.14
Now, CB = 2 × BD
⇒ CB = 2 × 7.14 = 14.28
Hence, the length of the base is given as 14.28 feet.
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CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION
I'LL MARK BRAINLIEST
I HAVE TO FIND X AND Y
THE BLURRED NUMBER IS 120
Answer & Step-by-step explanation:
In order to solve for x, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
Instead of using the original formula, we will rearrange the formula so we can find the missing side, b, which will represent x.
[tex]b^2=c^2-a^2[/tex]
Now, lets plug in our numbers.
[tex]b^2=120^2-76^2\\b^2=14400-5776\\b^2=8624\\\sqrt{b^2} =\sqrt{8624}\\ b=92.87[/tex]
So, x equals 92.87
Now, lets find y. Since we did the Pythagorean Theorem, this shows that the triangle is a right triangle. So, that means we already know the measurements of two angles which will help us find y.
180 - (35 + 90)
180 - 125
55
So, y equals 55
What is the solution of the system of equations 2x - 5y = 11 and -2x + 3y = -9?
Answer:
x= 3, y= -1
Step-by-step explanation:
Let's solve your system by substitution.
2x−5y=11 and −2x+3y=−9
Solve x in 2x-5y=11
2x-5y=11 (add 5y to both sides)
2x = 5y + 11 (divide 2 by both sides)
x=5/2y + 11/2
substitute 5/2y+11/2 for x in -2x+3y=-9
-2x+3y=9
-2 (5/2y+11/2)+3y=-9
-2y-11=-9 (simplify both sides)
-2y-11=-9 (add 11 to both sides)
-2y=2 (divide both sides by -2)
y=-1
substitute your y (-1) in x = 5/2y + 11/2
x = 5/2y + 11/2
x=5/2(-1)+11/2
x=3
therefore, y= -1 and x = 3
Which equation represents the hyperbola shown in the
graph?
Answer:
The answer is D.(y-1)^2/64 - (x-3)^2/64=1
Step-by-step explanation:
I just took that quiz on edge, sorry if im late
Jennifer is 6 years older than her brother. Two years ago she was four times as old as her brother. What equation describes this problem?
Answer:
X-2=J x 4 = B Two years ago
J + 6 = B now
Step-by-step explanation: