Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If the disc is equally likely to land anywhere on the board, what is the probability that she will succeed? Explain
Answers
Answer:
Her probability of success is 1/2
Step-by-step explanation:
Firstly, we have to calculate the area of the entire board
That would be the rectangle of the measure 50 cm by 40 cm
We have the area as the product of this two
That would be 50 * 40 = 2,000 cm^2
Now, the value calculated is the area of the entire possible landing area
Secondly, we need to get the area that counts as a success
that would be the area of the triangle that has a base of 50 cm and a height of 40 cm
The area of this is the product of the two divided by 2
we have this as ;
50 * 40 * 1/2 = 1,000 cm^2
So, her probability of success is simply the area of the triangle divided by the area of the rectangle
= 1000/2000 = 1/2
Related Questions
For each of the following, find the percent change in the volume of a cube. The length of the side of the cube was first increased by 50% and then decreased by 20%.
Answers
Given here is a cube, whose one side is increased by a given percentage. The task is to find percentage increase in the volume of the cube. Below is the implementation of the above approach:
Which expression is not equivalent to 8 + (n - 4) ?
Answers
Can someone give me the formula of compound profit?
Answers
Answer:
P (1 + r/n)^(nt)
Step-by-step explanation:
Answer:
A = P(1+r/n)nt
(note the r/n is a fraction)
Step-by-step explanation:
It's in the screenshot, please help, there's other questions to if you can help
Answers
it’s in the table lol
[tex]a - 2 + 5a[/tex]
Answers
Answer:
[tex]6a - 2[/tex]
Step-by-step explanation:
[tex]a - 2 + 5a[/tex]
[tex]6a - 2[/tex]
Hope it is helpful...34
Question 6 Multiple Choice Worth i pones)
(03.02 MC)
The vertices of AABC are A (1,5), B (3,9), and C (5,3). The vertices of ADEF are D (-3, 3), E (-2,5), and F (-1. 2). Which conclusion is true about the triangles?
The ratio of their corresponding sides
,
They are congruent by the definition of congruence in terms of rigid motions.
The ratio of their corresponding angles is 1:3.
They are similar by the definition of similarity in terms of a dilation.
Answers
Answer:
They are similar by the definition of similarity in terms of a dilation
Step-by-step explanation:
The given vertices of triangle ΔABC are;
A(1, 5), B(3, 9), and C(5, 3)
The vertices of triangle ΔDEF are;
D(-3, 3), E(-2, 5), and F(-1, 2)
Therefore, we get;
The length of segment, [tex]\overline{AB}[/tex] = √((9 - 5)² + (3 - 1)²) = 2·√5
The length of segment, [tex]\overline{BC}[/tex] = √((9 - 3)² + (3 - 5)²) = 2·√10
The length of segment, [tex]\overline{AC}[/tex] = √((5 - 3)² + (1 - 5)²) = 2·√5
The length of segment, [tex]\overline{DE}[/tex] = √((5 - 3)² + (-2 - (-3))²) = √5
The length of segment, [tex]\overline{EF}[/tex] = √((2 - 5)² + (-1 - (-2))²) = √10
The length of segment, [tex]\overline{DF}[/tex] = √((2 - 3)² + (-1 - (-3))²) = √5
∴ [tex]\overline{AB}[/tex]/[tex]\overline{DE}[/tex] = 2·√5/(√5) = 2
[tex]\overline{BC}[/tex]/[tex]\overline{EF}[/tex] = 2·√10/(√10) = 2
[tex]\overline{AC}[/tex]/[tex]\overline{DF}[/tex] = 2·√5/(√5) = 2
The ratio of their corresponding sides are equal and therefore;
ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.
Charlene owns a bookstore. She purchases used books from customers. • She pays $3.50 for each hardback book. • She pays $0.75 for each paperback book. • Charlene pays a customer a total of $199.75 for 149 used books. Which system of equations could be used to determine the number of hardback books (x) and the number of paperback books (y) Charlene purchases from the customer?
Answers
Answer: Number of hardback = 32
Number of paperback = 117
Step-by-step explanation:
Let the number of hardback books be represented by x.
Let the number of paperback books be represented by y.
Based on the information given, we can form an equation which will be:
x + y = 149 ......... i
3.50x + 0.75y = 199.75 ...... ii
Multiply equation i by 3.50
Multiply equation ii by 1
3.50x + 3.50y = 521.50 ...... iii
3.50x + 0.75y = 199.75 .....iv
Subtract equation iv from iii
2.75y = 321.75
y = 321.75 / 2.75
y = 117
Number of paperback = 117
Since x + y = 149
x = 149 - y
x = 149 - 117
x = 32
Number of hardback = 32
Which is the graph of y = cos(x) + 3?
1
N
0
Answers
Answer:N
Step-by-step explanation:
The K.C. Juice Company plans to reduce the size of its original juice box, shown below. The new juice box will be 1 centimeter
shorter in height than the original box.
10 cm
KC
Apple
Juice
3 cm
7 cm
What is the difference between the volumes of the original and new juice boxes?
Answers
Answer: The difference is 21
Step-by-step explanation:
first find the volume of the first rectangler prism and write that number down. secound use the same equation but first change the height by 1 and then lastly subtract those two volumes to get your answer.
210-189=21
189+21=210
How does the graph of f(x) = 3jx+2 +4 relate to its parent function?
A. The parent function has been translated to the left.
B. The parent function has been translated up.
C. The parent function has been compressed.
D. The parent function has been stretched.
Answers
Answer:
A,B,C
Step-by-step explanation:
The +2 in the absolute values means that it's translated to the left
The +4 on the outside means that it's translated up
The 3 means that it's compressed
Can anyone give me an answer to this? Help is serverly needed...
Answers
Is a trapezoid always a quadrilateral?
yes
no
Answers
Answer:
The correct answer is that all trapezoids are quadrilaterals. ... Trapezoids are four-sided polygons, so they are all quadrilaterals.
Step-by-step explanation:
hope it helped ( ◜‿◝ )♡
For what value of x is the equation 2x−3-x+4=3 true?
Answers
Answer:
x = 2
Step-by-step explanation:
2x−3-x+4=3
combine like terms:
x + 1 = 3
x = 2
The equation is true for the value of x = 2.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given equation is as given below.
2x − 3 - x + 4 = 3
We have to operate the like terms together.
Here 2x and x are like terms and 3 and 4 are like terms.
(2x - x) - 3 + 4 = 3
x - 3 + 4 = 3
x + 1 = 3
Subtracting 1 on both sides,
x = 3 - 1
x = 2
Hence the equation is true for x = 2.
To learn more about Equations Solving, click on the link given below :
https://brainly.com/question/29284073
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What is the coordinates of the focus for the following parabola -8(x-5)=(y+1)^2
Answers
By definition of the focus of a parabola, the coordinates of the focus of the parabola - 8 · (x - 5) = (y + 1)² are represented by the point F(x, y) = (3, - 1). (Correct choice: A)
How to locate the focus of a parabola
The standard equation of the parabola with an horizontal axis of symmetry is presented below:
[tex]x - h = \frac{1}{4\cdot p}\cdot (y - k)^{2}[/tex] (1)
Where:
h, k - Vertex of the parabola.p - Distance between the vertex and the focus.The coordinates of the focus is described by the following expression:
F(x, y) = (h + p, k)
If we know that h = 5, k = - 1 and p = - 2, then the coordinates of the focus are:
F(x, y) = (5 - 2, - 1)
F(x, y) = (3, - 1)
By definition of the focus of a parabola, the coordinates of the focus of the parabola - 8 · (x - 5) = (y + 1)² are represented by the point F(x, y) = (3, - 1). (Correct choice: A)
To learn more on parabolas: https://brainly.com/question/21685473
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please help and show work
Answers
Answer:
?
Step-by-step explanation:
PLEASE HELP ME! I need this for a grade.
Answers
This means it uses <, less than
Since y < mx + b
b being the y intercept
For A. The y intercept is (0,3)
The line exceeds (0,3) so it’s false
The only other possible outcome can be C. Y < -3x-5
Solution: C
3.
I NEED HELP
Write the slope-intercept form of the equation for the line.
A. y=[tex]-\frac{8}{7} x-\frac{3}{2}[/tex]
B. y=[tex]-\frac{3}{2}x+ \frac{7}{8}[/tex]
C. y=[tex]-\frac{7}{8}x- \frac{3}{2}[/tex]
D. y=[tex]\frac{7}{8}x- \frac{3}{2}[/tex]
Answers
Answer:
Step-by-step explanation:
Algebra Examples
Popular Problems Algebra Graph y=7x-8
y
=
7
x
−
8
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
7
y-intercept:
(
0
,
−
8
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
−
8
8
7
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
7
y-intercept:
(
0
,
−
8
)
x
y
0
−
8
8
7
0
y=7x-8
Veronica has a box that contains 24 pictures of her family, 6 pictures of her dog, and 12 pictures of her friends. Veronica randomly chooses one picture from the box. Which statement best describes what will likely happen.
A. She will definitely pick a picture of her family
B. She will most likely pick a picture of her family
C. She is equally likely to pick a picture of her family or of her dog
D. She is equally likely to pick a picture of her family, of her dog or of her friends
Answers
!!!!!I NEED HELP ASAP!!!!!
1
What is the product оf (9)(-9. (-1)
-81
-1
1
81
Answers
Answer:
81
Step-by-step explanation:
(-81)(-1) = 81
a. 4.5 square 3
b.9
c. 9 square 2
b 9 square 3
Answers
42 – 7y = -2
12x – 21y = -42
Answers
Answer:
Either C or A
Step-by-step explanation:
Hope it help you have a good day
Determine the lateral area and surface area of the given prism. Round answers to the nearest whole number.
Answers
Answer:
Lateral Area = Area of 2 triangle + Area of slant rectangle + area of back rectangle
Lateral Area = (5m)(3m) + (6m) (36m) + (3m) (36m)
LA = 15m² + 216m² + 108m²
LA = 339 m²
SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)
SA = 15m² + 216m² + 108m² + 180 m²
SA = 519 m²
A pocket contains 2 pennies, 2 nickels, 1 quarter and 4 dimes. What is the probability of randomly choosing a dime two times in a row, if the first coin drawn is not replaced?
Answers
Answer:
1/6
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability of choosing dimes twice = total number of dimes / total number of coins
At first pick = 4/9
because there is no replacement, dimes and total coins reduce by 1 and
second pick = 3/8
4/9 x 3/8 = 1/6
The population of Leavetown is 123,000 and is decreasing at a rate of
2.375% each year. What will be the population of Leavetown after 5 years?
Answers
A sweater normally cost $35 there is a 25% discount what is sale price of the sweater? Include the $
Answers
Answer:
Sale price= $26.25
Step-by-step explanation:
Giving the following information:
Selling price= $35
Discount rate= 25%
To calculate the sale price of the sweater, we need to use the following formula:
Sale price= selling price*(1 - discount rate)
Sale price= 35*(1 - 0.25)
Sale price= 35*0.75
Sale price= $26.25
3. A soccer player heads a ball from a height of 6 feet with an initial vertical velocity of 20 feet per second. The height h in feet of the ball is given by h= –16t + 20t +6,
where t is the time elapsed in seconds. How long will it take the ball to hit the
ground if no other players touch it? State the method you used to solve this
quadratic equation and why you chose that method.
Answers
Answer:
Part A
1.5 seconds
Part B
By substitution and factorization because h = 0 at ground level
Step-by-step explanation:
Part A
The height from which the soccer player heads the ball, h = 6 feet
The initial velocity of the ball, v = 20 ft./s
The height of the ball in feet, h = -16·t² + 20·t + 6
From the given equation of the ball, we have;
At the initial height, t = 0, from the given equation, h = 6
At the ground level, the height, h = 0, therefore, we get;
0 = -16·t² + 20·t + 6
Factorizing using a graphing calculator gives;
0 = 2 × (-8·t² + 10·t + 3) = -2 × (8·t² - 10·t - 3) = -2 × (2·t -3)·(4·t + 1)
∴ (2·t -3)·(4·t + 1) = 0
t = 1.5 or t = -1/4 = -0.25
Therefore;
The time it takes the ball to hit the ground, t = 1.5 seconds.
Part B
The method used in solving the given quadratic equation is by plugging in the value of 'h' as h = 0 in the given equation and factorizing the result because at ground level, the height, h = 0.
Some one plzzzz helpppp meeee
Answers
Answer: download photo math
Step-by-step explanation:
-plz answer branliest porvided no links
Answers
Answer:
Solution given:
area of semi circle h=½πr²=½×π×5²=39.27in²
area of rectangle EFHI=l×b=6×3=18in²
area of rectangle CDFG=l×b=17×2=34in²
Total area: 39.27+18+34=91.27 square inches
I really need help it’s due in 30 min
Answers
Answer:
3/4a -1/2a=8-4
1/4a=4
a=4/1/4
=16
Answer:
$16
1/2a=8
a=8*2
a=16
tina has 10 cards on her table she wrote letter z on 2 of them and the letter y on 8 of them whats the probability that someone picks a card with the letter z on it?
Answers
Answer:
1/5
Step-by-step explanation:
From the 10 cards, only 2 cards have the letter Z.
2/10 = 1/5
Answer:
1/5
Step-by-step explanation:
it is 2/10 so 1/5 thats
the probability that someone picks a card with the letter z on it?