The area of a square is the square of its side. The area of the square is 2.2477 units².
What is the area of a square?The area of a square is the square of its side. It is given by the formula,
Area of the square = a²
Given the circumference of the circle is 9.42 units. Therefore, the radius of the circle can be written as,
Circumference of the circle = 2πr
[tex]\rm9.42\ units= 2\pi r\\\\r = \dfrac{9.42}{2\pi}\ units[/tex]
Now, as the side of the square is equal to the radius of the circle, therefore, the area of the circle will be equal to,
Area of the circle = a² = r²
[tex]\rm \text{Area of the circle }= (\dfrac{9.42}{2\pi})^2[/tex]
[tex]\rm = \times \dfrac{9.42}{2\pi} \times \dfrac{9.42}{2\pi}\\\\ = 2.2477\ units^2[/tex]
Hence, the area of the square is 2.2477 units².
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Write 60/105 in its simplest form.
Answer:ok
Step-by-step explanation:4/7
Construct the linear equation for the table.
Answer:
Step-by-step explanation:
1. Find the slope: -1
2. Y = -x +b
3. Plug in a point
4. B is 1
5. The equation is Y=-1x+1
Evaluate cos-1(0.4283). Round to 1 decimal place.
Answer
0.4283
Step-by-step explanation:
Multiply
0.4283
by
1
.
Can someone help me urgent.
Answer:
x = 20
Step-by-step explanation:
Angle x and the 90 degree angle and 70 form a straight line so they add to 180
x+90+70 = 180
Combine like terms
x + 160 = 180
x = 180-160
x = 20
What is the measure of angle BCD?
98
110
82
70
Answer:
82
Step-by-step explanation:
opposite angles in a cyclic quadrilateral are supplimentary
Does anyone know how to solve this! (30 points)
Answer:
Step-by-step explanation:
-16[tex]t^{2}[/tex] +50t + 3
they ask what is the height after exactly 3 seconds, so plug in the 3 for t
t(3) = -16*[tex]3^{2}[/tex] + 50*3 +3
t(3) = -144 +150 +3
t(3) = 9 feet, ( the ball has gone up and come back down most of the way )
14) Which factored form is equivalent to the expression x2 + xy – 2y – 2x?
A) (x + 2)(x + y)
B) (x - 2)(x + y)
C) (x+2)(x-y)
D) (x-2)(x-y)
Answer:
B
x(x+y)-2(x+y)
x2+xy-2x-2y
(-2y-2x=-2x-2y because of distributive property)
Add 7 and 14. Subtract 1.5 from the sum.
16 4
Add 7 and 14 and then multiply the result by 4.
5 + 5 + 5 + 5
Multiply 5 by 1.1. Then subtract 3 from the product.
1.7 x 2
Multiply the difference of 1½ and 3 by 2.
(2 + 8) x 200
Silvia had $13. Her brother had twice as much as she did.
(8 + 3) x (8 + 3)
Silvia had $13. Her brother had twice as much as she did. Their cousin had $5 more than both of them had altogether.
Add 7 and 14. Subtract 1.5 from the sum.
16 4
Add 7 and 14 and then multiply the result by 4.
5 + 5 + 5 + 5
Multiply 5 by 1.1. Then subtract 3 from the product.
1.7 x 2
Multiply the difference of 1½ and 3 by 2.
(2 + 8) x 200
Silvia had $13. Her brother had twice as much as she did.
(8 + 3) x (8 + 3)
Silvia had $13. Her brother had twice as much as she did. Their cousin had $5 more than both of them had altogether.
divide out the following
-2x^2-3/x^2-2x
Step-by-step explanation:
= -2 + ( -4X-3/x²-2x)
= -2+ -4x-3/x²-2x
An observer 160 meters away sees a rocket launch into the
air. The rocket reaches its maximum height when the ob-
server is looking at an angle of 75° relative to the ground.
What is the approximate maximum height of the rocket's
path, in meters?
Not Answer:
8
Step-by-step Non-explanation:
The first term ( -4.9(t-4)^2 ) can never be positive, so the maximum height of 80 meters is achieved when t = 4. So the rocket will reach its maximum height after 4 seconds.
The approximate maximum height of the rocket's path is 597.13 meters.
How to elaborate the problem ?
Observer sees the rocket 160 meter away from the place where rocket launched.
75° is the angle between observer and rocket, when the rocket reaches its maximum height.
Here, if we assume a triangle whose base = distance between rocket launch point and the observer.
Height = Maximum height of the rocket
How to calculate the maximum height of the rocket ?Here, Base = 160 meter & let, maximum height = h
tan 75° = [tex]\frac{height}{base}[/tex]
⇒ tan 75° = [tex]\frac{h}{160}[/tex]
⇒ h = 160 tan 75°
⇒ h = 597.13 (approx)
The maximum height of the rocket is 597.13 meters (approx).
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how many inches are in 12 1/2 feet
Answer:
The answer is 150 inches
Step-by-step explanation:
Multiply the length value by 12
Answer:
150 inches
Step-by-step explanation:
12.5 x 12 = 150 inches
can someone help me with this problem?
Thank you!
Answer:
174 Sq feet
Step-by-step explanation:
30+90+54 just add.
Answer:
174 sq ft
Step-by-step explanation:
Formula:
A = Lw
Note:
A rectangle has 3 set of different side.
Solve:
A = Lw
A = 5 × 9
A = 45 × 2
A = 90
A = Lw
A = 5 × 3
A = 15× 2
A = 30
A = Lw
A = 3 × 9
A = 27× 2
A = 54
90 + 30 + 54 = 174 sq ft
Kavinsky
Find the value of X round to the nearest degree
Check the picture below.
Make sure your calculator is in Degree mode.
if the slope is 10.5 what would be the per hour
Answer:
Uh the slope
Step-by-step explanation:
In ΔABC, AB = 16 in, BC = 9 in, AC = 10 in. AD is perpendicular to the extension of BC . Find CD.
Answer:
25/6
I don't really know how I got it, sorry I can't help with that
The mathematics faculty at a college consists of 7professors, 9 associate professors, 9 assistant professors, and 9 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
=============================================================
Explanation:
There are 7 professors and 9 instructors (first and last items mentioned).
So there are 7+9 = 16 people who are either a professor or an instructor, but not both. I'm assuming the job titles do not overlap, ie no one person has more than one title. The events "professor" and "instructor" are mutually exclusive. I'm leaving out the associate professors and assisant professors.
In total, there are 7+9+9+9 = 34 faculty members.
--------------
We found there are 16 faculty members who are either a professor or an instructor, out of 34 total members.
This must mean the probability we want is 16/34 = 8/17
Side note: 8/17 = 0.4706 = 47.06% approximately
Jim buys a wardrobe for £30.
He sells it for £44.
Work out Jim’s percentage profit.
Give your answer to 1 decimal place.
Answer:
30/40
Step-by-step explanation:
like what the other guy said
The correct answer is 46.67%
What is profit percentage?It is the amount of profit that has been incurred in terms of percentage.
How to solve this problem?The problem can be solved by following steps
So, According to the question
The cost price of the wardrobe given is £30
The Selling price of the wardrobe given is £44.
We need to find profit percentage
We have to use formula.
Profit percentage = [tex]\frac{ Selling price - cost price}{costprice}[/tex] × 100
=[tex]\frac{ 44 - 30}{30}[/tex] x100
= [tex]\frac{14}{30}[/tex] x 100
= 14.67%
Hence, Jim's got profit percentage is 46.67%.
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= 46.6667% ≈ 47%
what is 2^2 simplified
[tex]\Large\textsc{Answer\::}[/tex]
4
[tex]\Large\textsc{Calculations :}[/tex]
2² simplified means 2 times 2 (2 times itself) so
2² = 4
2×2=4
2²=4
Now , it doesn't make any difference with a number like 2 .
Suppose we had 3 :
3² = 9
3² is not the same as 3 ×2 , and here's the reason for that :
3²=3×3=9
3 × 2 = 6
[tex]\footnotesize\textsf{hope helpful ~}[/tex]
please help, much appreciated!!!!(✿◠‿◠)
Step-by-step explanation:
5 people.
how many ways can they line up in general ?
5 choices for the 1st position, then no matter what we picked, 4 remaining for the second, then 3 for the 3rd, 2 for the 4th and 1 for the 5th :
5×4×3×2×1 = 5! = 120 ways.
but we have restrictions. we don't want the girls not just anywhere in the line, we want them to be at the end points of the line.
and none of the boys should ever be at one of the ends.
so, we actually have only
2×1 for the endpoints and 3×2×1 for the 3 boy positions in the middle.
in total
2×1×3×2×1 = 12
under these constrictions they have actually only 12 different ways to line up.
You are the manager of a monopolistically competitive firm, and your demand and cost functions are given by q = 36 – 4p and c(q) = 4 4q q2
The inverse demand function views price as a function of quantity. The inverse demand function of the firm will be:
[tex]\rm P=9-0.25Q[/tex]
What is the inverse demand function?The inverse demand function is the function that represents price as the function of quantity demanded. The graph of inverse demand puts a price on the y axis and the quantity demanded on the x-axis.
a. The inverse demand function of the firm will be calculated as follows:
The demand function is:
[tex]\rm Q=36-4P[/tex]
The inverse demand function is the demand function in terms of price. Therefore inverse demand function will be:
[tex]\rm Q=36-4P\\\\4P=36+Q\\\\P=\dfrac{36}{4}+\dfrac{Q}{4}\\\\P=9+\dfrac{Q}{4}\\[/tex]
[tex]\rm P=9-0.25Q[/tex]
Hence, The inverse demand function views price as a function of quantity. The inverse demand function of the firm will be [tex]\rm P=9-0.25Q[/tex].
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What is the amplitude of the function graphed below?
Answer:
2 For the most part this is all I have at the moment hope this helps
Step-by-step explanation:
Use this chart to answer the following questions.
QUARTER
DIVIDEND DIVIDEND FOR 55 SHARES
1 $.50/share 27.50
2 $.35/share 19.25
3 $.62/share
4 $.50/share 27.50
Total Dividends for 1 Year
How much would an investor with 55 shares of this stock have earned in dividends in one year?
$108.35
$106.75
$107.85
$109.05
The amount that an investor with 55 shares of this stock have earned in dividends will make in one year is A. $108.35.
How to calculate the dividend?It should be noted that the dividend for the year will simply be calculated by adding the dividend in each quarter.
Therefore, the amount that an investor with 55 shares of this stock have earned in dividends will make in one year will be:
= $27.50 + $19.25 + $34.10 + $27.50
= $108.35
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These proteins identify and lock on to an antigen (pathogen) and then tell other parts of the body to destroy the germ and it is not D
A. T Cells
B. Phagocytes
C. Antibodies
D. Lymphocytes
Answer:
c. antibodies
Step-by-step explanation:
Antibody Functions
Attach to flagella of bacterium, restricting their movement. Multi-bind to many bacteria at once, causing them to accumulate and prevent movement around the body. Burst bacteria cell walls. Attach to bacteria, making it easier for phagocytes to ingest them.
A circle has a radius of 5 cm. What is its circumference?
Use 3.14 for 7, and do not round your answer. Be sure to include the correct unit in your answer.
cm
5 cm
Answer:
C=31.4
Step-by-step explanation:
Formula: C=2πr
Insert radius: C=2×π×5
Multiply: C=10*π
Insert Pi: C=10*3.14
Multiply Again: C=31.4
Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). a professor is examining a new strain of bacteria. the amount of bacteria can be modeled by function s(n) = 20 · bn, where n is the number of hours and b is an unknown positive base. based on the model, there were initially bacteria. if b = 1.85, the hourly percent growth rate of the bacteria would be %.
The equation s(n) = 20.bn is an exponential equation, and the hourly percent growth rate of the bacteria would be 85%.
How to determine the hourly percent growth rate?The value of b is given as:
b = 1.85%
Let the hourly percent growth rate of the bacteria be r.
So, we have:
b = 1 + r
Substitute b = 1.85%
1.85 = 1 + r
Subtract 1 from both sides
r = 0.85
Express as percentage
r = 85%
Hence, the hourly percent growth rate of the bacteria would be 85%.
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Answer:
20 and 85%
Step-by-step explanation:
CalculatorAC
2 two angles are supplementary. The
measure of one angle is 9 times the
measure of the other angle. What is the measure of the smaller angle
Answer:
18 degrees heres youre answer!
Step-by-step explanation:
If Angle 1 is x, and Angle 2 is 9x (because one angle is 9 times as large as the other), then x + 9x = 180. Add like terms: 10x = 180. solve for x by dividing both sides by 10. Therefore, x = 18 degrees = smaller angle.
Find each angle or arc measure.
Since opposite angles of a cyclic quadrilateral are supplementary,
A= 180-101=79°
B= 180-68=112°
C Several groups of people wish to rent a boat. Group 1 has 4 people. Group 2 has 5
people Group 3 has 8 people. Which of the groups, if any, can safely rent a boat?
What is the maximum number of people that may rent a boat? Justify your answers
Answer:
group 69
Step-by-step explanation:
John Krasinski is Mr. Fantastic in Multiverse of Madness
State all integer values of x in the interval (-3, 3] that satisfy the following
inequality:
-3x + 4 > 9
(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x -5/3.
We have given
-3x+4 > 9
Required values of x.
State the values of x within -3 and 3.
subtract 4 from both sides,
-3x+4-4>9-4
What is the meaning of like terms?like terms are terms that have the same variables and powers. The coefficients do not need to match.
Collect Like Terms
-3x > 5
(-3x)(-1) < 5(-1)
3x < -5
Divide both sides by 3
3x/3 < -5/3
x < -5/3
(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x is -5/3.
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!!!1HELPP!!PLS HELP ITS DUE TONIGHT!! Two spinners are used in a game. Each spinner has four equal sections: red, green, white, and blue.
Create an organized list showing all the possible outcomes after both spinners are spun. Use R to represent red, G to represent green, W to represent white, and B to represent blue. Explain how to find the total number of outcomes from the list.
Find the probability of landing on white then blue.
Compare the probability found in Part B to the probability of landing on white and blue in either order. Explain why they different.
If a third spinner is introduced, would the probability of landing on blue, white, and green in any order still have the same relationship with the probability of landing on the same color set in a specific order? Justify