What is the likelihood that a point chosen inside the square will also be inside the circle ?It Chose one : A. is impossible ,B. it is unlikely, C it is likely D. it is certain
Answers
Answer:
C. It is likely
Step-by-step explanation:
Given
See attachment for diagram
For the square.
Let
[tex]Length = L[/tex]
So, the area is:
[tex]Area = Length^2[/tex]
[tex]A_1=L^2[/tex]
The side length of the square equals the diameter of the circle.
So:
[tex]diameter (d) = L[/tex]
The radius is:
[tex]r = \frac{1}{2}d[/tex]
[tex]r = \frac{1}{2}L[/tex]
The area is:
[tex]Area = \pi r^2[/tex]
[tex]A_2 = \pi * (\frac{1}{2}L)^2[/tex]
[tex]A_2 = \pi * \frac{1}{4}L^2[/tex]
[tex]A_2 = \frac{22}{7} * \frac{1}{4}L^2[/tex]
[tex]A_2 = \frac{22}{28} L^2[/tex]
The likelihood that a point will be common to the square and the circle is:
[tex]Pr = \frac{A_2}{A_1}[/tex]
[tex]Pr = \frac{\frac{22}{28} L^2}{L^2}[/tex]
[tex]Pr = \frac{22}{28}[/tex]
[tex]Pr = 78.57\%[/tex]
The above probability is greater than 50% but less than 100%.
Hence, it is likely
Answer:
C. Likely
Step-by-step explanation:
all the points are in the circle so it's likely to choose a point inside the circle
Related Questions
Arthur went to dinner. The meal cost $157 and
he wants to leave an 18% tip. How much money
should he leave for the tip?
Answers
Arthur should leave a $28.26 tip
2. Tim makes a tissue box. The area of the base is 45 square inches. The height of the box is 4 inches. What is the volume of the tissue box?
Answers
The volume of the tissue box is 180 cubic inches.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, the area of the base is 45 square inches.
The height of the box is 4 inches.
Now, volume = 45×4
= 180 cubic inches
Therefore, the volume of the tissue box is 180 cubic inches.
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what expression is equivalent to 3(7x-z+5)
Answers
explanation
3x7x=21x
3x5=15
dont forget the - sign!
Therefore 3(7x - 5)= 21x - 15
Please help me? I am confused.
Answers
Answer:
-5
Step-by-step explanation:
You are trying to find the cube root of a number. Because the number is being multiplied by itself 3 times over, only a negative number could be a cube root of another negative number
If (5^n)^3 = 5^12 then n= ?
6
Answers
Answer: n=4
Step-by-step explanation:
Uh I did some trial and error and it came up with the right answer
A photo of an ant in a science book is increased to 655% as large as the actual size. If the ant is 14 millimeters, what is the size of the ant in the photo?
Answers
Answer: [tex]91.7\ mm[/tex]
Step-by-step explanation:
Given
The size of the ant is enlarged by [tex]655\%[/tex]
The actual size of the ant is [tex]14\ mm[/tex]
Enlarged size is
[tex]\Rightarrow 14\times \dfrac{655}{100}\\\\\Rightarrow 91.7\ mm[/tex]
You have 3 mice in a barn and they quadruple every month. How many mice are in the
barn in 1 year?
Answers
Answer:
144
Step-by-step explanation:
4*3=12
12*12=144
Simplify cot2q + 1.
a.
csc2 q
c.
cot2 q
b.
0
d.
cos2 q
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
It's D
Step-by-step explanation:
it showed the correct answer on Edge
At a certain time of day, the sun shines on a large flagpole causing a shadow that is twice as long as the flagpole is tall what is the height of the flagpole to the nearest tenth of a foot?
350ft
Answers
Answer:
156.5
Step-by-step explanation:
The height of the flagpole to the nearest tenth of a foot is 156.5 ft.
Word Problems Using Pythagoras Theorem:Word Problems involving the use of the Pythagoras theorem need careful understanding to discern the complexity of the variables given, the using the Pythagoras theorem to solve the eqaution.
The Pythagoras Theorem states that the sum of the squares of the opposite side and the adjacent side is equal to the hypotenuse square.
From the information;
The large flagpole height = adjacent = xThe shadow of the flagpole = opposite = 2xThe hypotenuse = 350 ftUsing the Pythagoras theorem, we have;
hyp² = opp² + adj²
350² = (2x)² + x²
350² = 4x² + x²
122500 = 5x²
x² = 122500/5
x² = 24500
x = √24500
x = 156.5 ft
Therefore, we can conclude that the height of the flagpole is approximately 156.5 ft.
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can someone explain this?
Answers
V= pi x radius (squared) x height
3.14 x 5 x 7 = 549.5
the diagram shows a track composed of a rectangle with a semicircle on each end. the area of the rectangle is 4,000 square meters. what is the perimeter of the track?
Answers
Answer:14400
160
=
90
Step-by-step explanation: 90
⋅
π
=
90
π
→
If you are using an approximation such as 3.14 for
π
, multiply that by 90
Add
160
⋅
2
to the circumference since the lengths of the rectangle are also part of the perimeter.
160
⋅
2
=
320
90
π
+
320
What is the scale factor of the dilation?
Parallelogram FGHJ was dilated and translated to form
similar parallelogram FG'H'J'.
1. 1/8
2. 1/4
3. 4
4. 8
Answers
Answer:
3
Step-by-step explanation:
Anyone know the correct answer for the measure of angle B?
Answers
Answer:
∠B = 64.62°
Step-by-step explanation:
cos B = 3/7 = 0.4286
∠B = 64.62°
I NEED HELP FAST!!!! WILL GIVE BRAINLIEST.
Answers
Answer:
Step-by-step explanation:
Ok what’s the problem
the circumference of a circle is about 48.042 yards. the circle's diameter is ___ yards.
use 3.14 for pi.
Answers
Step-by-step explanation:
Given
Circumference of circle = 48.042 yards
diameter (d) = ?
we know
Circumference = πd
or, 48.042 = 3.14 * d
or, d = 48.042 / 3.14
Therefore d = 15.3 yards
The circle's diameter is 15.3 yards.
Hope it will help :)❤
diameter is 15.3 yards.
The square root of x is less than or equal to 6, select all that apply. Answers: 22 77 1296 -2 17 36
Answers
Answer:
The answer is "36"
Step-by-step explanation:
Given:
[tex]\to \bold{\sqrt{x} \leq 6}[/tex]
Square the above value:
[tex]\to (\sqrt{x})^2 \leq (6)^2\\\\\to x \leq 36\\\\[/tex]
There are 5 people at a party. They decide to share 3 ice cream sandwiches equally.
Which model shows how much of the ice cream sandwiches each person will get?
C.
D
Answers
Answer:
your answer will be D. I think :)
Answer: d
i have the test
3 Simplity the following rotic's = 4:16
Answers
Answer:
1:4
Step-by-step explanation:
simply divided by 4 :)
HELP PLZ
"Is triangle ABC a right triangle? Use measurements from all sides of the triangle to argue yes or no"
Answers
Answer:
no 12,5,12
Step-by-step explanation:
542 L =
kL
Brainliest and points
Answers
Answer:
0.542
Step-by-step explanation:
divide the liter by 1000 and get your answer! have a great day
542 liters is approximately equal to 0.542.
Given that a quantity, 542 L we need to convert it into kL,
To convert liters (L) to kiloliters (kL), you need to divide the given value in liters by 1,000 since there are 1,000 liters in 1 kiloliter.
In this case, to convert 542 L to kL, you can use the following formula:
kL = L / 1000
Plugging in the given value:
kL = 542 L / 1000
Dividing 542 by 1000, you get:
kL ≈ 0.542 kL
Therefore, 542 liters is approximately equal to 0.542.
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Jason solved the percent problem below and got
X=133%. Did he do it correctly? Explain your reasoning.
Answers
Answer:
No is incorrect 4/27 is right
Step-by-step explanation:
Can anyone help me with this question?
Answers
Answer:
x= -1
Step-by-step explanation:
the answer is x= -1
hope it helps
Remove the brackets using the distributive law for the following: -9(a + 4)
Answers
Answer:
-9a - 36
Step-by-step explanation:
Step-by-step explanation:
I m not sure but I think this is the answer
what is the mean of the data set below 2, 3, 5, 6, 6, 10, 15, 15,
Answers
plz help 50 points will give brainliest to first correct answer
Answers
Answer:
Step-by-step explanation:
BDC=95
Answer:
[tex] m\angle BDC = 95\degree [/tex]
Step-by-step explanation:
[tex] In\: \triangle ACD\: \&\:\triangle BDC[/tex]
[tex] m\angle A = m\angle B[/tex] (given)
[tex]\because m\angle A = 50\degree [/tex]
[tex]\therefore m\angle B = 50\degree [/tex]
[tex] m\angle ADC = m\angle BCD[/tex] (given)
[tex]\because m\angle ADC = 35\degree [/tex]
[tex]\therefore m\angle BCD= 35\degree [/tex]
[tex] In\: \triangle BDC[/tex]
[tex] m\angle BDC = 180\degree - (m\angle B+m\angle BCD) [/tex]
(By angle sum postulate of a triangle)
[tex] m\angle BDC = 180\degree - (50\degree +35\degree ) [/tex]
[tex] m\angle BDC = 180\degree - (50\degree +35\degree ) [/tex]
[tex] m\angle BDC = 180\degree - 85\degree [/tex]
[tex] m\angle BDC = 95\degree [/tex]
pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you
Answers
Answer:
4) The error made was that you were supposed to multiply 5 and 2. The answer is supposed to be 43.
5) B) 18
6) 18
7) B) 20
8) B) 28
Step-by-step explanation:
4)
36 - 3 + 5 · 2
36 - 3 + 10
43
5)
3(7) - 3 = 18
6)
3(2) + 2(4) + 4 =
6 + 8 + 4 =
18
7)
24 ÷ 3 + 12 = 8 + 12 = 20
8)
5(6) - 2 = 30 - 2 = 28
Can someone please help me
Answers
Answer:
I think the answer is b
Step-by-step explanation:
Answer:
C I think
Step-by-step explanation:
What C is essentially saying is that if the lines l and m intersect and form two angles next to each other that are equal then they will be 90 degrees
this is true because if two lines intersect they will form 4 angles and since vertical angles are equal the only way for adjacent angles to be equal is for everything to be 90 degrees which then makes the lines perpendicular
On her 21st birthday, Sydney deposited $400 in a new bank account that earns 3.7% interest compounded continuously. If there are no other deposits or withdrawals, how much interest will she have earned by her 60th birthday
Answers
Answer:
$1,649.80
Step-by-step explanation:
Sydney will have earned $1293.35 in interest by her 60th birthday.
How to find interest?To solve this problem, we need to use the formula for continuously compounded interest:
A = P [tex]e^{rt}[/tex]
Where:
A is the final amount of money in the account (including principal and interest)
P is the initial principal (in this case, $400)
r is the interest rate (in this case, 3.7% per year)
t is the number of years the money is invested (in this case, 39 years)
e is the mathematical constant approximately equal to 2.718
Plugging in the values from the problem, we get:
A = $400[tex]e^{0.037 \times 39}[/tex]
Calculating this, we find that A = $400[tex]e^{1.443}[/tex] = $1693.35
Therefore, he will have earned $1693.35 - $400 = $1293.35 in interest by her 60th birthday.
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I really need help guys plz help me and thank you.
Answers
Answer:
It's A
Step-by-step explanation:
............none...........
If the diameter is 26 inches, what is the radius
Answers
Answer:
13 inches
Step-by-step explanation:
In any circle, the radius is always half of the diameter.
So, the diameter can be found by multiplying the radius by 2, and the radius can be found by dividing the diameter by 2.
Since the diameter is 26 inches, we can divide this by 2 to get the radius
26/2
= 13
The radius is 13 inches
Answer:
[tex] \bf \huge13[/tex]
Step-by-step explanation:
Given that : the diameter is 26 inches.to find :what is radius .formulas used :radius = diameter / 2explanation :we know that,
finding the radius
⟼ diameter = 26 inches
⟼ radius = diameter / 2
⟼ radius = 26 / 2 inches
⟼ radius = 13 / 1 inches
⟼ radius = 13 inches.
∴ radius is 13 inches .