Calculate the area of the circle to the nearest hundredth of a square unit. Approximate as 3.14. a. 124.63 cm 2 b. 124.6 cm 2 c. 39.56 cm 2 d.19.78 cm 2
Answers
Answer:
[tex]124.63[/tex]
Step-by-step explanation:
[tex]a = \pi \times r {}^{2} = \pi \times (6.3) {}^{2} = \pi \times 39.69[/tex]
[tex]\pi \times 39.6 = 3.14 \times 39.69 = 124.63[/tex]
Hope this helps ;) ❤️❤️❤️
The area of circle will be;
⇒ 124.63 cm²
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The radius of circle = 6.3 cm
Now,
Since, The radius of circle = 6.3 cm
We know that;
Area of circle = π r²
Hence, We get;
⇒ Area of circle = 3.14 × 6.3²
= 3.14 × 39.69
= 124.63 cm²
Thus, The area of circle will be;
⇒ 124.63 cm²
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Related Questions
You buy a new computer for $1,500. The value of the computer decreases by 6%
every year. How much is the computer worth after 4 years?
$999.80
$1,171.05
$1,008.50
$1,225.35
Answers
Answer:
$1171.05
Step-by-step explanation:
1500 × (1-(6 / 100))⁴
Answer:
Hey there!
Each year, the computer is (100-6), or 94% of it's original value.
Thus, we have:
Original: 1500
First year: 1500(0.94)
Second year: 1500(0.94)(0.94)
Third year: 1500(0.94)(0.94)(0.94)
Fourth year: 1500(0.94)(0.94)(0.94)(0.94)
Fourth year: 1171 dollars.
Hope this helps :)
Given the regular decagon, what is the measure of each numbered angle? A. m∡1 = 72°; m∡2 = 18°; m∡3 = 36° B. m∡1 = 18°; m∡2 = 36°; m∡3 = 72° C. m∡1 = 36°; m∡2 = 72°; m∡3 = 18° D. m∡1 = 36°; m∡2 = 18°; m∡3 = 72°
Answers
Answer:
D. m∡1 = 36°; m∡2 = 18°; m∡3 = 72°
Step-by-step explanation:
The 10 central angles are all the same for the regular decagon, so each is 1/10 of 360°. Angle 1 is 36°.
Angle 2 is half of angle 1, since the altitude shown is an angle bisector. Angle 2 is 18°.
Angle 3 is the complement of angle 2. It is the other acute angle in the triangle that has angle 2 marked. Angle 3 is 72°.
An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 70% more of the substance? (Round your answer to one decimal place.) hr
Answers
Step-by-step explanation:
half life time-50%-8.4hr
so for 10%- 8.4/5=1.68 hr
now for 70%
1.68 × 7 = 11.76 hrs
to one decimal place - 11.8hrs
11.8 hours ago, there were 70% more of the substance if an isotope of lead has a half-life of 8.4 hours.
What is half-life?Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.
Half-life period - 50% -8.4hours
so for 10%- 8.4/5 = 1.68 hour
now for 70%
1.68 × 7 = 11.76 hours
To one decimal place - 11.8hours
Hence, 11.8hours is the answer.
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The university theater uses a combination of one letter (A - Z) and two digits (0 - 9) to identify their reserved seats. How many reserved seats are
possible using a combination of one letter followed by two digits. EXPLAIN how to solve this problem in your own words.
Answers
Answer:
Hey There!! The answer to this is Correct option: 1) 2600 The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).
So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.
We have one letter and two digits, so we have:
26 * 10 * 10 = 2600 possible reserved seats
Thus, Correct option: 1)
Hope It Helped!~ ♡
ItsNobody~ ☆
The total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
The missing options are:
1.) 26002.) 2343.) 2604.) 2106We have:
The university theater uses a combination of one letter (A - Z) and two digits (0 - 9) to identify their reserved seats
As we know, in the alphabet(A to Z) there are the 26 letters and total number of digits (0 to 9) is 10
A total number of combinations of letters followed by two digits can be calculated as follows:
As we have one letter and two digits
= 26×10×10
= 2600
, so we have:
26 * 10 * 10 = 2600 possible reserved seats
Thus, the total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.
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3. State the general version of the recursive formula.
72,54, 36, 18,0
Answers
Answer:
a(1) = 72
a(n) = a (n-1) - 18
Step-by-step explanation:
This is a simple series of multiplication of 18 . If we divide all the numbers by 18 we get
72/18, 54/18, 36/18. 18/18, 0/18
4 , 3 , 2 , 1 , 0
So we can see that the numbers are in decreasing order as the multiples of 18.
in other words the first term is a= 72
from which we subtract 18 and get 54 and so on.
So the general rule would be
a(1) = 72
a(n) = a (n-1) - 18
Where n and (n-1 ) are subscripts. We are just subtracting 18 from the number to get the answer.
72-18= 54
54-18= 36
36-18= 18
18-18=0
Find the equation of the parabola with focus (2, 3) and directrix y = -1.
es
Answers
Answer:
Below in bold.
Step-by-step explanation:
Let (x, y) be a point on the parabola. As the graph is a parabola, the distance of this point to the focus is equal to the distance of this point from the directrix. So:
√(( x - 2)^2 + (y - 3)^2) = y - (-1)
Squaring both sides:
(x - 2)^2 + (y - 3)^2 = (y + 1)^2
x^2 - 4x + 4 + y^2 - 6y + 9 = y^2 + 2y + 1
x^2 - 4x + 4 + 9 - 1 = 2y + 6y
8y = x^2 - 4x + 12
y = 1/8(x^2 - 4x + 12)
or we can write it as
y = 1/8x^2 - 1/2 x + 3/2.
Solve for x: 2(10-2x) = 4(3x + 1). Write your answer as a fraction.
Answers
Answer:
[tex]\boxed{x=1}[/tex]
Step-by-step explanation:
[tex]2(10-2x) = 4(3x + 1)[/tex]
[tex]\sf Expand \ brackets.[/tex]
[tex]20 - 4x = 12x + 4[/tex]
[tex]\sf Subtract \ 12x \ and \ 20 \ from \ both \ sides.[/tex]
[tex]20 - 4x - 12x - 20 = 12x + 4 - 12x - 20[/tex]
[tex]-16x = -16[/tex]
[tex]\sf Divide \ both \ sides \ by \ -16.[/tex]
[tex]\displaystyle \frac{-16x}{-16} =\frac{-16}{-16}[/tex]
[tex]x=1[/tex]
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 1
▹ Step-by-Step Explanation
2(10 - 2x) = 4(3x + 1)
Simple terms are written last:
2(-2x + 10) = 4(3x + 1)
Distributive Property:
-2 * 2x + 2 * 10 = 4 * 3x + 4
x = 1
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
A company determined that for each $1 increase in the price of their product, the
number of items sold will decrease by 2. Their predicted weekly profit with a
price increase of x dollars is represented by the function
f(x)= – 2x2+20x +150.
By how many dollars
should they increase the price of their product to
maximize their weekly profits?
15
200
150
5
Answers
Answer:
To have maximum profit, the price must be increased by 5,
Step-by-step explanation:
Given that the price increase function is:
f(x) = -2x² + 20x + 150,
For maximum profit, then f(x) = 0.
Putting f(x) = 0, we have
-2x² + 20x + 150 = 0
Or
x² - 10x - 75 = 0
(x + 5)(x - 15) = 0
x = -5
Or
x = 15
Again, differentiating f(x) and equating to zero, we have
-4x + 20 = 0
4x = 20
x = 20/4
= 5
To have maximum profit, the price must be increased by 5,
Explain in detail the steps for solving multi-step equations.
i just need the steps no problem is included . Thank you sm !
Answers
Answer:
1) Get rid of grouping symbols like square brackets and parentheses
2) Simplify both sides of the equation. Combine like terms if possible.
3) Choose where you want to keep the variable because that will help you decide where to place the constant.
4) Eliminate numbers or variables by using opposite operations. Remember that addition and subtraction are opposites and so are multiplication and division.
Step-by-step explanation:
Jemma has 24 balls. Out of the 24 balls, 12 are yellow, 4 are pink, and the rest are red. What is the ratio of the number of red balls to the number of balls that are either yellow or pink? arrowRight
Answers
Answer:
1 :2
Step-by-step explanation:
12 are yellow, 4 are pink
To find the number of red
24 -12 -4 = 8
There are 8 red balls
We want the ratio of
red: yellow or pink
8 : 12+4
8 :16
Divide each side by 8
8/8 : 16/8
1 :2
Answer:1:2
Step-by-step explanation: 12 yellow + 4 pink= 16
24 balls total minus 16 =8 red balls so 8:16=1:2
1. Move the slider to choose a scale
factor greater than 1. Where is point
P"?
Answers
calculate the size of angle x. the sides are 8cm, 11cm and 15cm
Answers
Answer:19.93
Step-by-step explanation:
11 x 8 x 15 = 1320
then u would simplify
The value is: angle x is approximately 103.95 degrees.
Here, we have,
To calculate the size of angle x, you can use the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.
In this case, the sides of the triangle are given as follows:
a = 8 cm (adjacent to angle x)
b = 11 cm (opposite to angle x)
c = 15 cm (hypotenuse)
The Law of Cosines states:
c² = a²+ b² - 2ab*cos(x)
Substituting the given values:
15² = 8² + 11² - 2(8)(11)*cos(x)
225 = 64 + 121 - 176*cos(x)
Simplifying:
225 = 185 - 176*cos(x)
Rearranging the equation:
176cos(x) = 185 - 225
176cos(x) = -40
Now, divide both sides by 176 to isolate the cosine term:
cos(x) = -40/176
cos(x) ≈ -0.2273
To find the value of angle x, take the inverse cosine (cos⁻¹) of -0.2273:
x ≈ cos⁻¹(-0.2273)
x ≈ 103.95 degrees
Therefore, angle x is approximately 103.95 degrees.
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If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f+g)(x) = 0?
O -4
O-2
O 2
O 4
Answers
Answer:
x = -2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ;)
The value of the function (f+ g)(x) = 0 then x = -2.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given:
f(x) = x² - 2x and g(x) = 6x + 4
As, (f+g)(x) = 0
x² - 2x + 6x + 4 = 0
x² + 4x + 4 =0
x² + 2x + 2x + 4 = 0
x(x+2) + 2 (x +2 )= 0
(x + 2)(x+2) = 0
(x+ 2)²= 0
x+ 2= 0
x = -2
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three babies A,B and C cry out at interval time. Baby A cries out at every 20 mins, while B cries out at every 30 mins and C cries out at every 40 mins. if they are observed at the same time, after what time will the three of them cry together?
A. after 20 minutes
B. after 30 minutes
C. after 40 minutes
D. after 120 minutes
Answers
Determine what type of model best fits the given situation: The height of a tree twenty feet tall increases by 2 feet per year.
Answers
Answer:
linear model
Step-by-step explanation:
This is a linear function. The initial value is 20 ft, and the yearly growth is 2ft/yr. Thus, the function is
height(t) = (20 ft) + (2 ft/yr)t, where t is the number of years.
can somewon help me plz
Answers
Answer:
=1468 in ^3
Step-by-step explanation:
Find the volume of the container as if the corner was still there
V = l*w*h
V = 10 * 10 *15
= 1500
Subtract the missing corner
The volume of the missing piece is
V = l*w*h
= 2*4*4
= 32
V = 1500-32
=1468 in ^3
Answer:
It is 1468 inches cubed.
Step-by-step explanation:
You first want to the volume of the entire shape by multiplying the length, width, and height, which is 10, 10, and 15. They multiply to become 1500 inches cubed. You then want to find the volume of the smaller rectangular shape, so multiply 4, 4, and 2. And that equals 32. So subtract the volume of the big shape that we found, 1500, by the volume of the small one, which is 32. That equals 1468 inches cubed. You want to subtract the volume of the big one by the small one because the volume is just the big shape with a small shape cut out of it. So whenever you get one of these problems, just find the volume of both shapes, the big one and the small one, and subtract the small one from the big one.
The tee for the fifth hole on a golf course is 355 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answers
Answer:
184
Step-by-step explanation:
Find the perimeter of the triangle
Answers
Answer:
26 units
Step-by-step explanation:
Answer:
657.88 i guess becuz by using pythagoras i got 320 for the hypotenous
How does it do? thank you very much
sorry this subject is physic.
Answers
The box plots display the same data set for the number of touchdowns a quarterback threw in 10 seasons of play. Including outlier: A number line goes from 5 to 30. The whiskers range from 5 to 29, and the box ranges from 18 to 26. A line divides the box at 21.5. Excluding outlier: A number line goes from 5 to 30. The whiskers range from 17 to 29, and the box ranges from 19 to 27. A line divides the box at 21. There is an asterisk at 5. Complete the statements describing the effect of the outlier on the measures of variability. The outlier of the data set is . The range of the data set including the outlier is more than the one excluding the outlier. The interquartile range of the data set including the outlier is more than the one excluding the outlier. The outlier had the most effect on the .
Answers
Answer:
5
12
0
range
Step-by-step explanation:
i just did it, these are the right answers.
Answer:
5,12,0, and the last answer is range
Step-by-step explanation:
Did it on Edge2021. Hope this helps!
HELP ME PLEASE !! A duck paddles 4 yards downstream in 24 seconds. It takes the duck 40 seconds to paddle the same distance upstream. How fast can the duck paddle in still water ? What is rate of the current? Duck speed: _____ Current: ________ And if possible you can show me the steps?
Answers
Answer:
1. duck will travel in still water paddles 4 yards = 38,7 sec
up stream speed = 0,63 mph
down stream speed = 0,68 mph
3(2x - 4) = 4(x + 1)
X=__?
Answers
Answer:
8!
Step-by-step explanation:
SIMPLIFY
6X-12=4X+4
PUT LIKE TERMS TOGETHER
6X-4X=4+12
SIMPLIFY
2X=16
X=16/2
X=8
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Hey there! I'm happy to help!
First, let's use the distributive property to remove the parentheses. We multiply the number on the outside by each number on the inside.
3(2x-4)
We multiply the 3 by the 2x, giving us 6x, and we multiply the 3 by the -4, giving is -12.
4(x+1)
We do 4 times x which is 4x, and 4 by 1, which is 4.
This gives us this equation.
6x-12=4x+4
Now, we want to solve for x. We want to move all the numbers to the right side and all the x's to the left side so we can figure out what x is equal to.
6x-12=4x+4
We add 12 to both sides, canceling it out on one side and adds it to the other to keep the equation at the same value.
6x=4x+16
We subtract 4x from both sides.
2x=16
We divide both sides by 2.
x=8
Have a wonderful day! :D
what is 10% of $14,580
Answers
Answer:
1458
Step-by-step explanation:
10% * 14580
Change to decimal form
.10 * 14580
1458
Answer:
1458
Step-by-step explanation:
14,580 multiply that by .1
What is 22% of $900?
Answers
Answer:
198
Step-by-step explanation:
Of means multiply and 22% as a decimal is 0.22, so multiply 0.22 by 900.
900*0.22=198
Answer:
198
Step-by-step explanation:
22% of 900
of means multiply
22% * 900
Change to decimal form
.22 * 900
198
Kaitlyn can build a shed in 6 days. Mark can build the same shed in 8 days. Which equation can be used to find d, the number of days it would take Kaitlyn and Mark to build the shed together? Rate (Sheds per Day) Time (Days) Fraction Completed Kaitlyn One-sixth d One-sixth dd Mark One-eighth d One-eighth dd One-sixth d minus one-eighth d = 48 One-sixth d + one-eighth d = 48 One-sixth d minus one-eighth d = 1 One-sixth d + one-eighth d = 1
Answers
Answer:
One-sixth d + one-eighth d = 1
Step-by-step explanation:
When they work together, their rates of completion add. They want to build one shed, so the number of sheds being built is ...
(Kaitlyn's sheds per day)×(days Kaitlyn works) +(Mark's sheds per day)×(days Mark works) = 1 shed
(1/6)d + (1/8)d = 1 . . . . matches the last choice
what is the value of a?
a. 55
b. 110
c. 50
d. 100
Answers
Answer:
a i think
Step-by-step explanation:
Please answer ASAP
Randomly pick 6 points from a square of side = 1. Show that you can always find 2 points from these 6 that their distance is less or equal to [tex]\frac{\sqrt{2} }{2} }[/tex]
Randomly pick 5 points from a sphere. Show that you can always find a closed semi-sphere ( half a sphere and boundary) that contains 4 points.
Answers
Problem 1.
My thinking is that the furthest you can get is have two points at each opposite corner, so the distance between them is sqrt(2). If we have two other points with this property, then all four corners are filled up. It is possible to pick two points where the distance is 1 unit.
Then a fifth point can be placed at the center such that the distance from it to any of the corners is sqrt(2)/2. We placed the fifth point at the center to try to get as far away as possible from the other four points.
Basically we're trying to find the worst case scenario (leading to the largest distance possible) and seeing how we can fill up the square. This establishes the upper bound. Any other kind of scenario will have a distance less than the upper bound.
===================================================
Problem 2.
For this one, I'm not sure what to make of it. The terminology is a bit strange so I'm not going to be fairly helpful here. Sorry about that.
If I had to guess, I'd assume it has something to do with the fact that a plane is uniquely defined by 3 points. That fourth point is not coplanar with the other three, which helps define the semi-spherical portion. The fifth point is just extra. The points can't be all collinear or else a plane won't form. Though to be honest, I'm still not sure about problem 2. I'd get a second opinion.
Help me throughout this question please!!!!!!
Answers
[tex] \cos(2A)=\cos^2 A-\sin^2A=(\cos A+ \sin A)(\cos A-\sin A)[/tex]
substitute the second term in LHS to get
[tex]{ (\cos A - \sin A)^2 \over \cos(2A))}[/tex]
expand the square, [tex] \frac{1-2\sin A \cos A}{\cos 2A}= \sec2A- \tan 2A[/tex]
([tex] \sin (2\theta)=2 \sin\theta\cos\theta[/tex])
Answer:
Both sides can take the same identity
Step-by-step explanation:
Sec 2A - tan 2A
Express with sin and cos
1/cos (2A) - sin (2A)/cos (2A)
= 1 - sin (2A) / cos (2A)
=
1 - sin (x) = 1-sin (x) = 1 - sin^2 ( x ) / 1 + sin (x)
=
1 - sin ^2 (x) = cos ^2 (x)
=cos ^2 (2A) / 1+sin (2A)/Cos (2A)
simplified
cos (2A) / 1+sin 2A
identity x used = cos 2x = cos ^2 x - sin ^2 x
= 1 + sin (2x) + (cos (x)) + (sin (x))^2
= cos ^2A - sin ^2A / (cos A - sin A) ^2
= cos A - sin A / cos A +sin A
Both sides are true.
2x3 + 10x2 − 4x2y − 20xy
Answers
Answer:
-20xy -8y+26
Step-by-step explanation
First Multiply 2 by 3.
6 + 10 x 2 - 4 x (2y) - 20xy
Then Multiply 10 by 2.
6+20-4x(2y)-20xy
After that Multiply 2 by -4.
6+20-8y-20xy
Lastly add 6 and 20.
26 -8y -20xy
Which function is the inverse of f(x) = -5x-4?
1
4
1
4
O 8(x)3x -
F () --3x+
O F1(x) = -4x+5
Of '(x) = 4x+4
Answers
Answer:
The inverse is -1/5x -4/5
Step-by-step explanation:
f(x) = -5x-4
y = -5x-4
Exchange x and y
x = -5y -4
Solve for y
Add 4 to each side
x+4 = -5y
Divide by -5
-1/5x -4/5 = -5y/-5
-1/5x -4/5 = y
The inverse is -1/5x -4/5
Answer:
[tex]\huge\boxed{f^{-1}(x) = -\frac{x+4}{5}}[/tex]
Step-by-step explanation:
[tex]f(x) = -5x-4[/tex]
Replace y = f(x)
[tex]y = -5x-4[/tex]
Exchange values of x and y
[tex]x = -5y -4[/tex]
Solve for y
[tex]x = -5y - 4[/tex]
Adding 4 to both sides
[tex]x + 4 = -5y[/tex]
Dividing both sides by -5
[tex]y = -\frac{x+4}{5}[/tex]
Replace y = [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x) = -\frac{x+4}{5}[/tex]
