Answer:
452.39
Step-by-step explanation:
area of circle = [tex]\pi r^{2}[/tex]
area of semi circle is [tex]\pi r^{2}[/tex] divided by 2 (because a semi circle is half of a circle)
diameter = 2 x radius, and radius = half of diameter
so
radius = 24 / 2 = 12
[tex]12^{2}[/tex] x π = 452.389342
to nearest hundredth = 452.39
Hope this helps. If you need any further explanation, let me know!
- profparis
if i helped you, i would appreciate a brainliest :D
Answer:
266.19 in²
Step-by-step explanation:
[tex]\sf Area\:of\:a\:circle=\pi r^2[/tex] (where r is the radius of the circle)
As a semicircle is half a circle
[tex]\implies \sf Area\:of\:a\:semicircle=\dfrac12\pi r^2[/tex]
From inspection of the diagram, we can see that the diameter (the widest part of a circle) is 24 in.
[tex]\sf Radius\:of\:a\:circle\:(r)=\dfrac12diameter[/tex]
Therefore, the radius of the circle = 24 ÷ 2 = 12 in
Substitute r = 12 into the equation for the area of a semicircle:
[tex]\begin{aligned}\implies \sf Area\:of\:a\:semicircle & =\dfrac12\pi 12^2\\ & =\dfrac12 \cdot \pi \cdot 144\\ & = 72\pi \\ & = 266.19\: \sf in^2 \:(nearest\:hundredth)\end{aligned}[/tex]
Probability can be expressed as either a decimal, a percentage or a fraction. But no
matter what form it takes, it means the same thing, 1/10, 0.1 and 10% are all different ways
of expressing the same probability.
An easy way to convert a percentage to a fraction is to put the number of the percentage
over 100 and then simplify, for example, 75% is the same as 75/100, or 3/4 The first two
places after a decimal point are the same as a percentage: 0.15 is equal to 15%, and 0.3 is
equal to 30%
Al
E
SI
Which probability is equal to 25%?
A
5/100
B
1/4
С
25/1
D
4/5
Answer:
B. 1/4
Step-by-step explanation:
The easiest way to find the answer here is to (if you have one) use a calculator to divide each fraction.
When divided 1/4, you get .25, and as the explanation says, "The first two places after a decimal point are the same as a percentage: 0.15 is equal to 15%, and 0.3 is equal to 30%."
So, moving the decimal to the right two times will give you your probability of 25%.
Hope this helps :)
I’m sooo confused please help me
18π
Step-by-step explanation:
so first you need to find the area of both semi- circles. To do this you will use the formula 1/2πr^2 since it is half the area of a circle.
So for the smaller semi circle you do 1/2×π×8^2 to get 32πcm^2.
Now for the large semicircle you do 1/2×π×10^2 to get 50πcm^3.
Now you take 50π from 32π to get just the area of the shaded region.
This is 18π or 56.55cm^2
Manuel is packing smaller boxes inside a large box. The
smaller boxes are cube-shaped and measure 6 inches
along each edge. The large box is cube-shaped and
measures 24 inches along each edge. How many
smaller boxes can Manuel fit in the large box?
The number of the smaller cube-shaped boxes that Manuel can fit into the large cube-shaped box is: 64.
What is the Volume of a Cube?Volume of a cube = a³, where a is the edge length of the cube.
Volume of the smaller cube-shaped boxes = a³ = 6³ = 216 in.³
Volume of the larger cube-shaped box = a³ = 24³ = 13,824 in.³
Number of the smaller boxes that will fit into the large box = 13,824/216 = 64 smaller cube-shaped boxes.
Learn more about volume of a cube on:
https://brainly.com/question/1972490
please help me with the question
Answer: A
Step-by-step explanation:
The answer to this system of equations is (0,4)
Gabrielle's age is three times Mikhail's age. The sum of their ages is 20. What is Mikhail's age?
Answer:
Mikhail is 5 years old
Step-by-step explanation:
Represent each member with a variable.
X= Gabrille
Y=Mikhail
X+Y=20 (sum of their ages is 20)
X=3y (Gabrille is 3 times Mikhails age)
Substitute 3Y into the first equation (simultaneous equation)
. 3y+y=20
. 4y=20 (divide both sides by 4)
y=5
To check your answer.
X+5=20
X=20-5
X=15
15 is 5 times 3.
12. Ms. Hall wants to buy 2 pairs of shoes. It was buy one at original price of $70 and get one 25% off. How much will Ms. Hall pay for her shoes?
Answer:
17.50
Step-by-step explanation:
Find the surface area of the cylinder (please help)
Answer:
surface area we can also take it as total surface area
9 is the radius and 5cm is the height . as they asked total surface area we have to take the area of base so tht we can make it as
total surface area = csa of cylinder + area of base
we know that,
2pirh+pir²
pir(2h+r)
pir(2×5+9)
pir(10+9)
pir(19)
22/7×9×19
3762/7
=> 537.42 cm² is the answer.
2πr²+2πrh
Step-by-step explanation:
2/1*22/7*9/1*9/1+2*22/7*5/1*9/1
2*22*9+2*22*5*9
369+990
answer= 1359
Determine if 51 is rational or irrational and give a reason for your answer
Answer:
irrational because the square root of 51 is irrational.
solve using the square root method
Answer:
x = 5
Step-by-step explanation:
5(x-3)^2 - 20 = 0 we can find the value of x by sorting out the number one by one and leaving x alone on one side:
5(x-3)^2 = 20 (transfering 20 to the right side of the equation)(x-3)^2 = 20/5 and that is equal to 4, now find the root for both sides x-3 = 2 add 3 to both sidesx = 55. Find m< BOC
please help
Answer: 110 degrees
Step-by-step explanation:
Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. let a be the event that the person has gone surfing, and let b be the event that the person has gone snowboarding. a 4-column table has 3 rows. the first column has entries has surfed, never surfed, total. the second column is labeled has snowboarded with entries 36, 12, 48. the third column is labeled never snowboarded with entries 189, 63, 252. the fourth column is labeled total with entries 225, 75, 300. which statement is true about whether a and b are independent events? a and b are independent events because p(a∣b) = p(a) = 0.16. a and b are independent events because p(a∣b) = p(a) = 0.75. a and b are not independent events because p(a∣b) = 0.16 and p(a) = 0.75. a and b are not independent events because p(a∣b) = 0.75 and p(a) = 0.16.
Using the concept of independent events, it is found that the correct statement is:
a and b are independent events because p(a∣b) = p(a) = 0.75.
When are two events independent?
Two events, A and B, are independent if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this problem, the events are:
Event A: Surfing.Event B: Snowboarding.In this problem, out of 300 students, 225 have surfed, hence:
[tex]P(A) = \frac{225}{300} = 0.75[/tex]
48 have gone snowboarding, hence:
[tex]P(B) = \frac{48}{300} = 0.16[/tex]
36 have done both, hence:
[tex]P(A \cap B) = \frac{36}{300} = 0.12[/tex]
The multiplication is:
P(A)P(B) = 0.75 x 0.16 = 0.12.
That is, the probability of A given B is P(A|B) = P(A) = 0.75, hence they are independent.
More can be learned about independent events at https://brainly.com/question/14478923
Answer:
the answer is B
Step-by-step explanation:
The figure below represents a parallelogram ABCD with AB//CD and AC//BD A 35° B Z 9 ~ W 45° p 1' S 75° 25° C D Find the size of each of the lettered angles. X J
Answer:
Step-by-step explanation:
Calculate the circumference and area of this circle
Answer:
Circumference = 10[tex]\pi[/tex] or 31.4
Area = 25[tex]\pi[/tex] or 78.5
Step-by-step explanation:
Circumference formula is [tex]2\pi r[/tex]
Plug in the radius of 5 for the equation:
[tex]2\pi 5[/tex] or [tex]10\pi[/tex]
Area formula is [tex]\pi r^{2}[/tex]
Plug in the radius of 5 for the equation:
[tex]\pi 5^{2}[/tex] or [tex]25\pi[/tex]
How can you write
10/3
as a division
expression and as a mixed number?
Answer:
Division: 10 ÷ 3
Mixed Number 3 and 1/3
Answer:
10/3 in a mixed fraction is 3 1/3.
Let us convert the improper fraction to a mixed number.
Step-by-step explanation:
Converting an improper fraction to a mixed number involves dividing the numerator by the denominator.
And we keep the quotient part as separate
The quotient of 10 divided by 3 is 3
While the remainder of 10 divided by 3 is 1
The mixed number is written as Quotient (Remainder/Divisor), i.e., 3 1/3
Thus, 10/3 in a mixed fraction is 3 1/3.
Martha wants to rent a car for a week and to pay no more than $200. How far can she drive if the can
rental costs $120 a week plus $.25 a mile?
Answer:
martha can go 300 miles with her 130 dollars
Step-by-step explanation:
300 miles $130 brain liest me please need id
composite figure pls help
Answer:
Step-by-step explanation:
divide the figure into 2 rectangle the one on top and bottom. Th one on top's dimensions would be length = 9 width = 3.
the bottom rectangles dimensions would be length = 5 (because 9-4) and width would be 3 (because 6-3)
so top rectangle : 9*3 = 27
bottom rectangle: 5*3 = 15
27+15 = 42
Answer:
[tex]A_{total} = 42\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the left rectangle
[tex]A = l * w[/tex]
[tex]A = 6\ cm * (9\ cm - 4\ cm)[/tex]
[tex]A = 6\ cm * 5\ cm[/tex]
[tex]A = 30\ cm^2[/tex]
Step 2: Determine the area of the right rectangle
[tex]A = l * w[/tex]
[tex]A = 4\ cm * 3\ cm[/tex]
[tex]A = 12\ cm^2[/tex]
Step 3: Determine the total area
[tex]A_{total} = 30\ cm^2 + 12\ cm^2[/tex]
[tex]A_{total} = 42\ cm^2[/tex]
Answer: [tex]A_{total} = 42\ cm^2[/tex]
What is the circumference in centimeters the circle is 24 centemeters in diamater
Answer:
75.398 cm to the nearest thousandth.
Step-by-step explanation:
Circumference = π * diemeter
= 24π
= 75.3982 cm
Kellen runs for at least 1 hour but for no more than 2 hours. He runs at at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d=6.6t
Find the theoretical and practical domains of the equation.
Select ALL correct answers.
Question 4 options:
The practical domain is all real numbers.
The theoretical domain is all real numbers.
The theoretical domain is all real numbers greater than or equal to one and less than or equal to two.
The practical domain is all real numbers greater than or equal to one and less than or equal to two.
The theoretical domain is all real numbers greater than or equal to one and less than or equal to two. Then the correct option is C.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
Kellen runs for at least 1 hour but for no more than 2 hours. He runs at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d = 6.6t
Then the domain of the function d will be a real number.
But in the problem, the value of t is more than or equal to one but less than or equal to two.
1 ≤ t ≤ 2
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
what percent of the data is to the right of the mean in a normal curve?
Answer:
E. not enough info given
Step-by-step explanation:
If you were talking about the median, it is 50%
Find the surface area of the pyramid shown to the nearest whole number. 5ft 5ft 6ft - Not drawn to scale
Answer:
85 ft^2
Step-by-step explanation:
Base = 5 x 5 = 25 ft^2
FOUR triangles 4 * 1/2 * b * h = 4 * 1/2 * 5 * 6 = 60 ft^2
added together = 85 ft^2
Find the volume of the spear. Give your answer to the nearest cubic unit. 5mm
Answer:
We know,
[tex]\:\sf{Volume\:of\:sphere\:=\:\frac{4}{3}πr³}[/tex]
Here,
Given :-[tex]\:\mathsf{radius\:=\:5mm}[/tex]
Solution :-Now,
Volume of sphere = [tex]\:\mathsf{\frac{4}{3}\:πr³}[/tex]
=> [tex]\:\mathsf{\frac{4}{3}\:×\frac{22}{7}\:×(5)³}[/tex]
We got,
Volume of sphere = 523.809Therefore you can say that option B. 524 mm³ is the correct answer for this question.
Hope this helps!
Answer:
b. 524 mm³Step-by-step explanation:
Volume of the sphere
V = 4/3πr³Here, the radius (r) is 5 mm.
Solving
V = 4/3 x 3.14 x 5³V = 4/3 x 3.14 x 125V = 4/3 x 392.5V = 524 mm³What is the mean, median, and mode for 5, 18, 36, 13, 5, 3, 7, 17
Answer:
mean = Efm÷N
Step-by-step explanation:
mark me as brainlist
The scores on a standardized exam are normally distributed with a mean of 400 and a standard deviation of 50.
Approximately 40% of the scores are greater than which score?
370
387
413
430
Using the normal distribution, it is found that approximately 40% of the scores are greater than 413.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, we have that the mean and the standard deviation of the scores are given by:
[tex]\mu = 400, \sigma = 50[/tex]
Approximately 40% of the scores are greater than the 60th percentile, which is X when Z = 0.253.
Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.253 = \frac{X - 400}{50}[/tex]
X - 400 = 50(0.253)
X = 412.65.
Rounding up, approximately 40% of the scores are greater than 413.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ1
Answer:
413
Step-by-step explanation:
I took the test k12
f(x) = 32
g(x) = 5x + 2
Find
(1) (a). Include any restrictions on the domain.
O A.
---
+2
3.
5.1+
33
A. A
(1) (a) = 5, 2 > 0
B. (1) (z) = 72,2 +0
c. (1) (a) = 1,2+ -
OD (1) (a) = 4+1
--
52
522)
On a number line, show all values of x for which |x|>3
Please say what i need to use like rays or whatever too
Answer: 3<x
Step-by-step explanation: anything under 3, use a ray (infinite) pointing to the left with a open circle
simplify square root of m over square root of 9n^3
Answer:
⁴root(9m²n/3n)
Step-by-step explanation:
just simplify the like terms
5. John and Alice are going to visit their friends in Chicago. They need to exchange their
Canadian money (CAD) to American money (USD). Alice goes to the bank and asks for $300
USD. They charge her $400 CAD. John goes to the bank on the same day and asks for $175
USD. Assuming that he gets the same exchange rate, how much do they charge him in
Canadian dollars?
Answer:
$233.33
Step-by-step explanation:
I will use the is/of method
[tex]\frac{300}{400}[/tex]=[tex]\frac{175}{?}[/tex]
175*400=70,000
70,000/300=233.33
What is the image point of (0, 9) after a translation left 1 unit and down 2 units?
Answer:
(- 1, 7 )
Step-by-step explanation:
a translation left of 1 unit means to subtract 1 from the x- coordinate.
a translation down of 2 units means to subtract 2 from the y- coordinate.
(0, 9 ) → (0 - 1, 9 - 2 ) → (- 1, 7 )
Find x, y, and z. Please Show work how you did!
Answer:
y=36,x=108,z=30
Step-by-step explanation:
1)180°=72°+(3y)°
=>(3y)°=180°-72°
=>(3y)°=108°
=>3y=108
=>y=36
2)(x)°=(3y)°=>x=108
3)(3z+18)°=108°=>3z+18=108=>3z=90=>z=30
Answer:
x = 108
y = 36
z = 30
Step-by-step explanation:
(x)° + 72° = 180° (interior angles on the same side of transversal)
-> (x)° = 180 - 72°
-> (x)° = 108°
-> x = 108
(3y)° = (x)° (corresponding angles)
-> 3y = x
-> 3y = 108
-> y = 108/3
-> y = 36
(3z + 18)° = (x)° (corresponding angles)
-> 3z + 18 = x
-> 3z + 18 = 108 - 18
-> 3z = 108 - 18
-> 3z = 90
-> z = 90/3
-> z = 30
1. A toy company finds there is a linear relationship between p, the price they charge for a playground ball, and n(p), the number of balls they sell during a year. When they charge $3, they sell 8000 balls during the year. However, sales drop to 5200 balls when they charge $5 each.
a. Write an equation for the linear function n(p).
b. Use your function to determine the number of balls they can expect to sell during the year if they charge $6.50 for a ball.
Answer:
Below in bold.
Step-by-step explanation:
The general form of a linear function can be written as:
n(p) = kp + C where k and C are constants.
So substituting the given data:
8000 = 3k + C
5200 = 5k + C Subtract
2800 = -2k
k = -1400
and C = 8000 - 3(-1400) = 12200
a. So the equations is:
n(p) = -1400p + 12200
b.
For a charge p of $6.50;
n(p) = -1400*6.5 + 12200
= 3100 balls.