Answer:
Answer: 18∘ and 162∘
Step-by-step explanation:
Delta math
Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle is either in the triangle or in the circle.
Answer Options:
0.73
0.35
0.33
0.26
Answer:
0.26
Step-by-step explanation:
In geometric probability, the probability of an event is based on a ratio of geometric measures such as length or area.
The area model is used here. The measures of various dimensions of the sample space and the included figures are given.
The sample space is the area of the large rectangle.
Find the area of the sample space.
Substitute the known values for the length, l=16
m, and width, w=11.8 m, into the formula for the area of a rectangle, A=lw
.
A=(16)(11.8)=188.8
m2
The probability that a randomly chosen point will lie either inside the triangle or inside the circle is the sum of the individual probabilities.
The probability that a randomly chosen point will lie inside the triangle is equal to the ratio of the area of the triangle to the area of the large rectangle.
Find the area of the triangle.
The height of the triangle equals 11.8−7.3=4.5
m
.
Substitute the known values for the base, b=8
m, and height, h=4.5 m, into the formula for the area of a triangle, A=12bh
.
A=12(8)(4.5)=18
m2
Find the probability that a point chosen randomly inside the rectangle is in the triangle.
P1=18188.8
The probability that a randomly chosen point will lie inside the circle is equal to the ratio of the area of the circle to the area of the large rectangle.
Find the area of the circle.
The radius is half of the diameter. So, r=6.22=3.1
m
.
Substitute the known value for the radius, r=3.1
m, into the formula for the area of a circle, A=πr2
.
A=π(3.12)=9.61π
m2
Find the probability that a point chosen randomly inside the rectangle is in the circle.
P2=9.61π188.8
Sum the individual probabilities to find the probability that a point chosen randomly inside the rectangle is either in the triangle or in the circle.
P=P1+P2
=18188.8+9.61π188.8
=18+9.61π188.8≈0.26
Therefore, the probability that a point chosen randomly inside the rectangle is either in the circle or in the triangle is about 0.26
.
The probability that a point chosen randomly inside the rectangle is either in the triangle or in the circle is 0.26. Option fourth is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is the problem of geometric probability:
Area of rectangle = 16×11.8 = 188.8 square meters
Area of circle = π(6.2/2)² = 30.190 square meters
Area of triangle = (1/2)(8×[11.8-7.3]) = 18
P(triangle) = 18/188.8 = 0.095
P(circle) = 30.190/188.8 = 0.159
P = P(triangle) + P(circle) = 0.095 + 0.159 = 0.254 ≈ 0.26
Thus, the probability that a point chosen randomly inside the rectangle is either in the triangle or in the circle is 0.26. Option fourth is correct.
Learn more about the probability here:
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WILL GIVE BRAINLIEST
Answer:
the height is 15
Answer:
B) 15
Step-by-step explanation:
Volume of a cone formula:
V = πr²(h/3)
D/2 = r
10/2 = r
r = 5
393 = (3.14)5²(h/3)
393 = 78.5(h/3)
h = 15.02
h = 15
Sike this system of equations by graphing . First graph the equations and then type the solution y=7/2x+3 y=-x-6
Answer:
I’ve got the graphs for both equations below.
With y = 7/2x + 3
y = -x-6
I used substitution with simultaneous equations and got x = -2 and y = -4 :)
The length of a shoe is 25 centimeters. How long is the shoe in meters? (Note: 1 meter = 100 centimeters)
Answer:
Step-by-step explanation:
Length of a shoe = 25 centimeters
Converting into meters
= 25/100
= 0.25 meters
what is the surface area of this design
Answer: 197.
Step-by-step explanation:
the width of a rectangle is 4 feet and the diagonal length of the rectangle is 15 ft which measurement is closest to the length of this rectangle in feet
First answer will be brainlist
At Fireside Bookshop, you buy a book for $30.00. If the sales tax is 9.5%, what is the total price you pay for the book?
Answer:
$32.85
Step-by-step explanation: 9.5% of 30 is 2.85
30 + 2.85 = 32.85
Mari used a thermometer to record temperatures of -3.4 degree Celsius and 1.6 degree Celsius. Which temperature in degrees Celsius is less than both of the temperatures Mari recorded?
A. -2.6 degree Celsius
B. 3.9 degree Celsius
C. -5.4 degree Celsius
D. 0 degree Celsius
the answer would probably be c
Answer:
b
Step-by-step explanation:
Round 5,784 to the nearest ten
Answer:
I think you might mean 5.784 and if that is the case it would be 5.8
Step-by-step explanation:
5.8 would be the answer because 8 is closer to 10 than 0 so 7 would be rounded up to 8
Please Helppp
Question: a coin is rolled and a cube labelled 1-6 is rolled. What is the probability that the cube shows head and the number cube shows a multiple of 3?
Answer: 1/6 or 17%
Step-by-step explanation:
So on a die the only multiples of 3 are 3 and 6 so that leaves us with a 2/6 or 1/3 chance of the die and the coin is always a 50% chance so together multiplied is 1/6 or 17 %
A collection of dimes and nickels is worth $3.30. If there are 42 coins in all, how many nickels are there?
Answer:
24
Step-by-step explanation:
Determine whether x=3, x=4, or x=5 is the solution.
42–x=37
Answer: x=5
Explanation:
Rearrange the equation
42-x=37 is the same as 37+x=42
Isolate the variable x by subtracting 37 from both sides
37-37 cancels out and 42-37 is 5
X=5 is what you’re left with
Pls help me with #1 and #2 ASAP
Como se calcula la medida de la sircunferencia si conocen la medida del diámetro
I ran 1½ miles in 20 minutes . How fast did I go?
Answer:
4 MPH
Step-by-step explanation:
If you ran 1 1/2 miles in 20 minutes than in an hour you have ran 4 1/2 miles
1hr 35mins + 60minutes + 61 minutes + 20minutes + 55minutes =
Answer:
4.85 hours
Step-by-step explanation:
(1 hr 35 minutes) + (60 minutes) + (61 minutes) + (20 minutes) + (55 minutes) =
4.85 hours
HELP PLEASE DUE IN 3 MINUTES
Answer:
$3 dollars
Step-by-step explanation:
mode is the one that appears the most frequently in a set and three bucks is shown multiple times the most
Divide the equation.
Answer:
3y+3
Step-by-step explanation:
I hope this works
Evaluate the expression 21x, if x= 4.
Answer:
84
Step-by-step explanation:
x= 4
21x = 21 (4) = 84
I hop im right!!
SEASONS THEY WILLL CHANGE LIFE WILL MAKE U GO .EVERYTHING IS TEMPORARY EVERYTHING IS LIE ...LOVE WILL NEVER DIE DIE DIE
Answer:
I love that song it is the best! <3
Step-by-step explanation:
mark me brainy plz u do not have to if u do not want to but it would be ever so kind of u if u would do so plz and thank u
Help me with this please
Answer:
x = 25
Step-by-step explanation:
By the property,
Equal chords subtend equal angles at the center of the circle. Therefore, measures of arcs having equal central angles will be equal.
2x + 4x + (3x + 30) + (3x + 30) = 360°
(2x + 4x + 3x + 3x) + (30 + 30) = 360
12x + 60 = 360
12x = 300
x = [tex]\frac{300}{12}[/tex]
x = 25
can someone help with this please?:)
Answer:
can you make it so its not green and easier to read please and thank you and once you do that then maybe i can try to help you
Step-by-step explanation:
There are 32 levels in Swamp Expedition, a popular video game. Anya beat 24 levels so far. What percent of the video game did Anya beat ?
PLSSSS ANSWER QUICKLY !!!
Answer:
75%
Step-by-step explanation:
shdhahzhhjsjsjsjwjjaaa
Solve for X please and thank u
Which of the following equations below is NOT a linear inequality?
Y< 5x2 - 5
y> 3x + 2
Answer:Y< 5x2 - 5 because it will be squared making it an exponential function
Step-by-step explanation:
905=5a please help me i don't know what this is
Step-by-step explanation:
905÷5=5a÷5
there for a=181
Find the 5 number summary for both boys and girls .
Answer:
não entend i
Sep-by-step explanation:
imagine that you are in an argument with a friend about the size of the slice of pizza you were both served. your friend says that it was unfair because you got a bigger piece what information would you need to know about each slice of pizza in order to calculate which one had a larger area? explain.
We need to know the Angle subtended by the slice at the center of the pizza i.e. Θ, Radius of the pizza i.e. r about each slice of pizza in order to calculate which one had a larger area.
What is area ?Area is defined as the quantity that expresses the extent of a region on the plane or on a curved surface.
Area of sector [tex]=\frac{\theta}{360}\pi r^2[/tex]
Here,
Θ = angle subtended by the arc at the center.
We have,
Slice of pizza,
So,
As per the mentioned formula,
we need to know,
Angle subtended by the slice at the center of the pizza.Radius of the pizza.So, that we can calculate the area of the slice or pizza.
i.e.
Area of slice [tex]=\frac{\theta}{360}\pi r^2[/tex]
Hence, , we can say that the We need to know the Angle subtended by the slice at the center of the pizza i.e. Θ, Radius of the pizza i.e. r about each slice of pizza in order to calculate which one had a larger area.
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A total of 250 households were surveyed. What fraction of the total number of households have three televisions?
A. 23/100
B. 13/100
C. 1/50
D. 6/25
Pizzeria Napoli sells a round pizza with diameter 16 inches and a square pizza with side length 15 inches. Which of the two shapes gives you more pizza and by how many square inches? (Round your answer to the nearest whole number)
Answer: Square, 24 square inches
Step-by-step explanation:
Given
Diameter of round pizza [tex]d=16\ in.[/tex]
Side of square pizza [tex]a=15\ in.[/tex]
Area of circle [tex]\pi r^2[/tex]
The area of a square is [tex]a^2[/tex]
[tex]\therefore \text{Area of round Pizza}=\pi \times (\frac{16}{2})^2\\\Rightarrow A_1=\pi \times 8^2=201.088\ in.^2[/tex]
The area of square pizza is
[tex]A_2=15^2=225\ in.^2[/tex]
Clearly, the area of square pizza is more and the difference in their area is
[tex]\Rightarrow A_2-A_1=225-201.088=23.91\approx\ 24\ in.^2[/tex]