Answer:
The probability that a randomly selected point within the circle falls in the white area is approximately 36.3%
Step-by-step explanation:
The given parameters of the area are;
The length of the radius of the circle, r = 4 cm
The length of the side of the inscribed quadrilateral, s = 4·√2 cm
The diagonals of the inscribed quadrilateral = 2 × The radius of the circle
∴ The diagonals of the inscribed quadrilateral are equal and given that the sides of the quadrilateral are equal, the quadrilateral is a square
The probability that a randomly selected point within the circle is white is given by the ratio of the white area to the brown square area as follows;
The white area = The total area - The area brown square
The total area, A = The area of the circle with radius, r = π·r²
∴ A = π·(4 cm)² = 16·π cm²
The area of the brown square, Asq = s² = 4·√2 cm × 4·√2 cm = 32 cm²
The white area, Aw = 16·π cm² - 32 cm² = 16·(π - 2) cm²
The probability that a randomly selected point within the circle falls in the white area is therefore;
[tex]P(W) = \dfrac{A_W}{T_A} = \dfrac{16 \cdot (\pi - 2) \, cm^2}{16 \cdot \pi \, cm^2 } \times 100= \left (1 - \dfrac{2}{\pi}\right) \times 100 \approx 36.338022763241865692 \%[/tex]
By rounding to the nearest tenth of a percent, we have;
The probability that a randomly selected point within the circle falls in the white area, P(W) ≈ 38.3%.
o put on Your Thinking Cap!
$ Challenging Practice
1.
Michelle got an average score of 80 on two tests. What score must
she get on the third test so that her average score for the three tests
is the same as the average score for the first two tests?
Answer:
Michelle must get an 80 on her next test to keep her average score.
Step-by-step explanation:
Since Michelle got an average score of 80 on two tests, to determine what score she must get on the third test so that her average score for the three tests is the same as the average score for the first two tests, the following calculation must be performed:
X / 2 = 80
X = 80 x 2
X = 160
X x 3 = 80 x 3
X x 3 = 240
X = 240/3
x = 80
So, Michelle must get an 80 on her next test to keep her average score.
The perimeter of an equilateral triangle is numerically equal to its area. Find the length of the side of the equilateral triangle.
Answer:
I can't answer because you didn't put a photo
Step-by-step explanation:
Please put a photo so I can answer this question as best as possible
Juan’s three math quizzes this week took him 1/3 hour, 4/6 hour, and 1/5 hour to complete. List the lengths of time in order from least to greatest.
Rewrite the fractions to have a common denominator:
1/3 = 10/30
4/6 = 20/30
1/5 = 6/30
Now compare the numerators and list from smallest to largest:
6/30, 10/30, 20/30
The order would be:
1/5, 1/3, 4/6
Answer:
1/5, 1/3, 4/6
Step-by-step explanation:
The bigger the fraction denominator the smaller is.
*PLEASE HELP WITH SLOVING THESE QUESTIONS IT IS DUE SOON WORTH 100 POINTS*
1. If x = -4: Then what is the answer to 8x + 4x?
2. If x = 3: Then what is 9x - 18?
3.If x = 8: Then what is -2x + 10?
4. If x = -3: Then what is 5x + 11?
Answer:
1 = -48
2 = 9
3 = -6
4 = - 4
Step-by-step explanation:
Hello there!
For each problem we are going to want to plug in the value of x (which is given) and find the total value of the expression
For #1
8(-4) + 4(-4)
8 * - 4 = -32
4*-4=-16
-32+(-16)=-48
So the answer to #1 is -48
For #2
9(3)-18
9*3=27
27-18=9
so the answer to #2 is 9
For #3
-2(8)+10
-2*8=-16
-16+10=-6
so the answer to #3 is -6
For #4
5(-3)+11
5*-3=-15
-15+11=-4
So the answer to #4 is -4
Which of the following are not parts of a pyramid? diameter, altitude, radius, lateral edges, vertex.
Answer:
Radius and diameter are not part of a pyramid
The following is a parallelogram. What is the measure of angle N?
Answer:120 Degrees
Step-by-step explanation:
Angle M and N add up to 180 degrees so,
180= 11x-40 (Since 3x+8x would be 11x)
220=11x (Add 40 to both sides)
X=20 (divided 220 by 11)
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
ABC is translated right 5 units and down 5 units
Step-by-step explanation:
The vertices of the original and new triangles haven't moved. Only the triangle as a whole moved from one place to another. The other choices involved reflecting the triangle in which the vertices change locations that are different from their original locations. Hope this helps!
Nora measured a community college and made a scale drawing. She used the scale 3 millimeters : 2 meters. If a building at the college is 96 millimeters wide in the drawing, how wide is the actual building?
Answer:64 Meters
Step-by-step explanation:
please help me i’ll give brainliest
Answer:
105 degrees
Step-by-step explanation:
You need to understand the properties of corresponding angles and supplementary angles.
chose the number equal to -9 times -1/3
1) What kind of mindset do you have when it comes to Math?
Explain.
Please help i dont Know how to answer it
Answer:
A mindset is kind of like a mood. They are asking you what kind of mood or how you feel when it comes to math.
Step-by-step explanation:
Example | Fixed Mindset: I'm jealous of other people's success. Growth Mindset: I am inspired by other people's success.
What is the solution to the linear equation?
2/3 x-1/2=1/3+5/6x
O x = 5
0 x = 1 - 2
0 x =
O x=5
[tex]2.3x - 5.6x = 1.3 + 1.2 \\ - 3.3x = 2.5 \\ - x = 0.75 \\ x = - 0.75[/tex]
i hope it helps u
Can anybody tell what this is
answer in simplest radical form
[tex]64*36=x^{2} \\2304=x^{2} \\x=48[/tex]
What is the radius of the circle made by Ana’s sister in the green car? Use 3.14 for pi and round your answer to the nearest tenth. Show your work.
Answer:
[tex]r=20.1[/tex]
Step-by-step explanation
[tex]C=\pi d[/tex]
Green car circumfrence = 126 feet
Plug in numbers
[tex]126=3.14d[/tex]
Divide both sides by 3.14
[tex]\frac{126}{3.14} = 40.12...[/tex]
Divide diameter by 2 to find radius
[tex]\frac{40.1}{2} = 20.05[/tex]
round up to [tex]20.1[/tex]
PLS HELP MEEEEEEEEEEEEEEEEEE
The answer for the following question is 5.74 x 10⁷
After eating at the restaurant, Sam, Jason, and Joan decided to divide the bill evenly. If each person paid x dollars, what was the total of the bill ?
Answer:
I need numbers ??
Step-by-step explanation:
the total bill will be divided by three
Answer:
x+x+x=3x
Each paid x dollars
Answer = 3x
Please help me. im giving 10 pointssss
Answer:
5+y<7
I think
Step-by-step explanation:
what is 2 x 2? answer dumly
(DONT ANSWER IF YOU GOING TO GIVE SOME TYPE OF LINK )please help me I’m begging ya I really need help if I don’t finish in 20 min I’m going to get a whopping and it will get lock!!! My teacher strict she won’t let me do it. (NO LINKS)
(NO LYING) especially if you don’t know it!!!!
1. 1143.36.
2. Withdrawal
3. Deposit
4.C
5.2185.07
Select the equivalent expression.
Choose 1 answer:
264.764
B
2024 . y24
x? .y?
212
yl2
Answer:
B.....
Step-by-step explanation:
...................................................
Answer:
B
Step-by-step explanation:
Hope you get it right! :)
The following quadrilateral is a parallelogram. Solve for x, y, and z.
Answer:
x= 29°
y= 73°
z= 102°
Step-by-step explanation:
x is on the opposite side of the 29° which means it is equal to 29°
In order to find y we can add 29°+78° and subtract it from 180° since all triangles add up to 180°.
This makes y = 73°
In order to find z, we can subtract 78 from 180 since all straight lines are 180 degrees.
This makes z = 102°
LOOK AT THE PHOTO PLEASE
Answer:
The answer to the question provided is 7.
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: 2x - 3 = x + 4 \\ \frac{ - x \: \: \: = \: - x}{x - 3 = 4} \\ \frac{ \: \: \: \: \: \: + 3 = + 3}{x = 7} [/tex]
[I apologize if the answer is inaccurate]
3
S
1+ 305
[tex]3 - \sqrt{5 } \div 1 + \sqrt[3]{5} [/tex]
Step-by-step explanation:
can you throw more light on what you want us to find?
PLEASE HELP ME
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the expressions with their simplified forms.
Hence the matching expression is:
√2 * √8 = 4
√80 = 4√5
√5/√20 = 1/2
√20 = 2√5
Solving the rational expressionGiven the following expressions, we are to match with the values in box.
For the expression
√2 * √8 = √2 * √2*4
√2 * √8 = √2 * 2√2
√2 * √8 = 4
For the expression √80
√80 = √16*5
√80 = 4√5
For the expression √5/√20
√5/√20 = √5/√4*5
√5/√20 = √5/2√5
√5/√20 = 1/2
For the expression √20
√20 = √4*5
√20 = 2√5
Hence the equivalent matching expression are;
√2 * √8 = 4
√80 = 4√5
√5/√20 = 1/2
√20 = 2√5
Learn more on rational expression here: https://brainly.com/question/29061047
#SPJ1
One equation in a system is y = 2x - 4. Which equation gives the system no solution?
y = 2x - 4
y = 2x + 9
y = 1/4x - 4
y = -2x + 4
Answer:
[tex]y = 2x + 9[/tex]
Step-by-step explanation:
Step 1: I have to compare the equation given to the equation of a straight line
From the question, we have:
[tex]y = 2x - 4 \\ y = mx + c[/tex]
hence m = 2 and c = -4
So, the choice B: y = 2x + 9
Gives : m = 2 and c = 9
Hence since m is the same that is (= 2) and c is different, hence the equation has not solution then.
So, the answer is choice B
For BRAINLIST !!
Which table contains only values that
satisfy the equation y = 6x +2?
Answer:
C
Step-by-step explanation:
what was a similarty between the united states troops sent to the spanish- american war and troops sent to fight in world war 1
Answer:
c
Step-by-step explanation:
9x - 7i > 3 (3x - 7u)
Answer: i < 3u
Step-by-step explanation:
9x - 7i < 3 (3x -7u)
= 9x - 7i < 9x - 21u
= -7i < -21u (cancel out the 9x)
Laura wants to know the volume of her gold ring in cubic centimeters. She gets a rectangular glass with a base 7 cm by 4.5 cm and fills the glass 8.8 cm high with water. Laura drops her gold ring in the glass and measures the new height of the water to be 9.2 cm.
Answer:
12.6 cm
Step-by-step explanation:
Find the area of the polygon:
Answer:
this figure is trapezium.
area of trapezium =1/2×(a+b)h
area of trapezium =1/2×(7+24)×24
area pf trapezium =1/2×31×24
area of trapezium =372unit²