Answer:
A) opposite angles are congruent
Step-by-step explanation:
Find the volume of the irregular
figure.
Answer:
59 cm^3
Step-by-step explanation:
You can split the shape into two rectangular prisms.
3*3*1=9
10*5*1=50
9+50=59
A local chess tournament gives medals for first, second, and third place. There are five students from Midland High, three students from Leasburg High, and six students from Cassville High competing in the tournament.
Which statements are true? Check all that apply.
Order matters in this scenario.
There are 2,184 ways to select a first-place, second-place, and third-place winner.
The probability that all three winners are from Midland High is 0.0275.
The probability that all three winners are from Leasburg High is 0.0046.
The probability that all three winners are from Cassville High is 0.0549
Answer:
There are 2,184 ways to select a first-place, second-place, and third-place winner.
The probability that all three winners are from Midland High is 0.0275.
The probability that all three winners are from Cassville High is 0.0549
Step-by-step explanation:
Since a local chess tournament gives medals for first, second, and third place, and there are five students from Midland High, three students from Leasburg High, and six students from Cassville High competing in the tournament, to determine which of the following statements are true, the following calculations must be performed:
A) There are 2,184 ways to select a first-place, second-place, and third-place winner.
5 + 3 + 6 = 14
14 x 13 x 12 = X
182 x 12 = X
2.184 = X
B) The probability that all three winners are from Midland High is 0.0275.
5/14 x 4/13 x 3/12 = X
0.02747 = X
C) The probability that all three winners are from Leasburg High is 0.0046.
3/14 x 2/13 x 1/12 = X
0.00274 = X
D) The probability that all three winners are from Cassville High is 0.0549
6/14 x 5/13 x 4/12 = X
0.0549 = X
Answer:
A, B, C, E
Step-by-step explanation:
Edg 2021
Branliest?
Can someone please help me with this? help would be very much appreciated!
Answer:
so sorry i dont know
:(eeeeeeeeeeee
eeeeeeeStep-by-step explanation:
Determine the vertex of the quadratic relation y= 4x2 + 32x – 11
Answer:
vertex = (- 4, - 75 )
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 4x² + 32x - 11 ← is in standard form
with a = 4, b = 32 , then
x = - [tex]\frac{32}{8}[/tex] = - 4
Substitute x = - 4 into the equation for corresponding y- coordinate
y = 4(- 4)² + 32(- 4) - 11
= 4(16) - 128 - 11
= 64 - 139
= - 75
vertex = (- 4, - 75 )
2.39 round to the nearest tenth
Answer:
2.4
Step-by-step explanation:
If I round 2.39 to the nearest tenth it will be 2.4.
Have a nice day!
Which line of best fit is the best choice for the data given below?
Answer:
B
Step-by-step explanation:
Points need to be above and below a line of best fit.
In a game of chess, a player can either
win, draw or lose.
The probability that Vishi wins any
game of chess is 0.5
The probability that Vishi draws any
game of chess is 0.3
Vishi plays two games of chess.
Work out the probability that Vishi will
lose exactly one of the two games.
Pls answer fast
Answer:
3.4
Step-by-step explanation:
0.5x + 0.3=2
then I subtracted 0.3 from both sides which I got 1.7 then I divided by 0.5x and then I got 3.4
An umbrella in the same picture is 5cm long. What is the actual length of the umbrella
Answer:
Not possible to answer from the given information
Step-by-step explanation:
Without the picture this cannot be answered
Simo scored 65 points in a game. Ella scored e points in the same game. If they scored a total of t points for the game, write an equation that expresses t in terms of e. You will not solve this equation, just write it.
Answer:
Step-by-step explanation:
Lucy=65
Eva= X points
Total:
Points = 65 + 65 = 130
Find the area of the square ABCD.
196 is your answer. 14*4 is 56. 14*10 is 140. 56+140 is 196.
The small one only counts for the first multiplication step. 4*4, is 16 so carry the one over and add it in by how much it’s worth when doing 4*1, is 4. 4+1 is 5.
A total of 937 people attended the play.
Admission was $2.00 for adults and $0.75
for students. The total ticket sales
amounted to $1,109. How many students
and adults attended the school play?
Answer:
612 adults & 361 students
Step-by-step explanation:
MCR3U1 Culminating 2021.pdf
#7.
A colony of bacteria is introduced into a growth medium. Its initial population
size is 350 thousand. 12 hours later, the colony has grown to a size of
800 thousand. If its population size increases exponentially, determine:
(a)
the exponential growth model for the size of the population Alt), after
t hours.
(b)
the population size after (i) 8 hours and (ii) 24 hours.
(c)
the rate of increase in the population size as a %/hour
(d)
the doubling time of the bacteria population.
Answer:
(a) [tex]y = 350,000 \times (1 + 0.07132)^t[/tex]
(b) (i) The population after 8 hours is 607,325
(ii) The population after 24 hours is 1,828,643
(c) The rate of increase of the population as a percentage per hour is 7.132%
(d) The doubling time of the population is approximately, 10.06 hours
Step-by-step explanation:
(a) The initial population of the bacteria, y₁ = a = 350,000
The time the colony grows, t = 12 hours
The final population of bacteria in the colony, y₂ = 800,000
The exponential growth model, can be written as follows;
[tex]y = a \cdot (1 + r)^t[/tex]
Plugging in the values, we get;
[tex]800,000 = 350,000 \times (1 + r)^{12}[/tex]
Therefore;
(1 + r)¹² = 800,000/350,000 = 16/7
12·㏑(1 + r) = ㏑(16/7)
㏑(1 + r) = (㏑(16/7))/12
r = e^((㏑(16/7))/12) - 1 ≈ 0.07132
The model is therefore;
[tex]y = 350,000 \times (1 + 0.07132)^t[/tex]
(b) (i) The population after 8 hours is given as follows;
y = 350,000 × (1 + 0.07132)⁸ ≈ 607,325.82
By rounding down, we have;
The population after 8 hours, y = 607,325
(ii) The population after 24 hours is given as follows;
y = 350,000 × (1 + 0.07132)²⁴ ≈ 1,828,643.92571
By rounding down, we have;
The population after 24 hours, y = 1,828,643
(c) The rate of increase of the population as a percentage per hour = r × 100
∴ The rate of increase of the population as a percentage = 0.07132 × 100 = 7.132%
(d) The doubling time of the population is the time it takes the population to double, which is given as follows;
Initial population = y
Final population = 2·y
The doubling time of the population is therefore;
[tex]2 \cdot y = y \times (1 + 0.07132)^t[/tex]
Therefore, we have;
2·y/y =2 = [tex](1 + 0.07132)^t[/tex]
t = ln2/(ln(1 + 0.07132)) ≈ 10.06
The doubling time of the population is approximately, 10.06 hours.
What is the product of 1.65 and 1.05 x 10^-2?
Answer:
0.017325
x
Step-by-step explanation:
Round the answer to the nearest hundredth
tan= opp/adjacent
tan= 9/3
tan^-1 (9/3) =72°
Can some help me solve this.
Answer:
The fourth (last) function is the correct one.
Step-by-step explanation:
Look at the parent function y = √x, Its graph goes through (0, 0). On the other hand, if y = √(x - h), the graph goes through (h, 0) if h is positive, and the graph is translated h units to the right from the graph of y = √x. If h is negative, the graph is translated h units to the left.
In the four possible answers given, the values of h are {-4, 9, 5, -9}, in that order. h = -9 results in the graph that is positioned 9 units to the left of the graph of y = √x. This graph is furthest to the left. Thus the fourth choice is the correct one.
how many tons is 9,000 lbs?
Answer:
9000 Pounds (lbs) = 4.017859 Tons (t)
1 lbs = 0.000446 t
1 t = 2,240 lbs
Step-by-step explanation:
helpppppppppppppppppppppppppp
Answer:
Option D.
Step-by-step explanation:
==>27
r = 3
9r
which means 9x3 = 27.
In triangle CAP if c=7, a=6 and cosP = -3/7, find p
Using the diagram below, which of the following parts of the triangles are
congruent?
Answer:
C.
Step-by-step explanation:
ACE is a straight line that connects to line AB and line DE.
AB & ED have same gradient which mean that it is parallel.
The parts of triangles which are congruent is ∠A ≅ ∠E which is option (C)
What is congruent triangle?In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the otherCongruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal. We can tell whether two triangles are congruent without testing all the sides and all the angles of the two triangles.How to solve this problem?The steps are as follow:
As ACE is a straight line which connects to line AB and DEAlso the line AB and ED are parallel because their gradient are sameSo from above mention two reasons we can say that their is congruence between angle A and angle ESo the parts of triangles which are congruent is ∠A ≅ ∠E which is option (C)
Learn more about Congruent triangle here:
https://brainly.com/question/1675117
#SPJ2
If 3x - 4y = 15 and -2x + 3y = 10, then x - y = ?
Answer:
x - y = 25
Step-by-step explanation:
3x - 4y = 15
-2x + 3y = 10
Add the two equations together
3x - 4y = 15
-2x + 3y = 10
----------------------
x - y = 25
Answer:
[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]
>> 3x - 4y = 15
>> -2x + 3y = 10
Add the two equations together
>> 3x - 4y = 15
>> -2x + 3y = 10
----------------------
Hence, x - y = 25
4. There are 10 people in a room. If everyone high fives everyone else exactly once, how many hig flves took place in the room?
Answer:
45
Step-by-step explanation:
Let's do it for smaller numbers first.
0 people -> 0 high fives
1 people -> 0 high fives
2 people -> 1 high fives
3 people -> person 1 high fives 2 then 3
And person 2 high fives 3
->2+1= 3 high fives
4 people -> person 1 high fives 2,3, then 4
And person 2 high fives 3 then 4
And 3 high fives 4
->3+2+1=6
5 people -> person 1 high fives 2,3,4, then 5
And person 2 high fives 3,4, 5
And 3 high fives 4,5
And 4 high fives 5
-> 4+3+2+1=10
So for n people there would be (n-1)+(n-2)+....+3+2+1 high fives or (n-1)n/2 people.
Test:
3 people -> (3-1)3/2=(2)3/2=3
4 people -> (4-1)4/2=(3)4/2=6
5 people -> (5-1)5/2=(4)5/2=10
10 people-> (10-1)10/2=(9)10/2=90/2=45
or you could do 9+8+7+6+5+4+3+2+1 which also gives 45.
The other person has a great answer. Here's another approach.
Let's say we're selecting 2 people to fill slots A and B.
Slot A has 10 choices and slot B has 9 choices (since we can't pick the same person again to fill both slots simultaneously).
We have 10*9 = 90 ways to do this if order mattered.
However, we don't care about the order so we actually have 90/2 = 45 ways
---------------------------
Put another way: we can form a table that has 10 rows and 10 columns.
This table has 10*10 = 100 cells inside it.
Cross off the main diagonal that runs from the upper left corner to the bottom right corner. Any of these cells represent a certain person handshaking with themself, which we don't consider.
We cross of 10 items along this diagonal so we have 100-10 = 90 cells leftover.
Now consider that person A shaking with B can be notated as AB. This is identical to BA because the order doesn't matter. So we have twice as many handshakes counted.
That's why we divide by 2 to go from 90 to 90/2 = 45
-----------------------------
Another way to find the answer is to use the nCr combination formula with n = 10 and r = 2.
Yet another way to find the answer is look at Pascal's triangle. Find the row that has 1,10,45... in it at the start. These values correspond to r = 0, 1 and 2 respectively. We can see that 45 is when r = 2, which means we have 2 people shaking hands and there are 45 ways to have ten people shake hands.
So there are many approaches you can take with this problem.
Find the area of the polygon
Answer:
[tex]it \: is \: a \: polygon \: having \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ base = 5cm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ height = 3cm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ area \: of \: polygon \: = base \times height \\ \\ area \: of \: polygon \: = (5 \times 3)cm \\ \\ area \: of \: polygon = 15cm ^{2} [/tex]
Can somebody pls help
Answer:
A, c, d
Step-by-step explanation:
Answer:
C & D
Step-by-step explanation:
In order to find the perimeter, we would need to add all the sides. w+L+w+L would be adding the lengths and the widths. Simplifying this, we would get 2w, because there are 2 sides that are the same width, and 2 sides that are 2 lengths.
w+L+w+L or w+w+L+L or 2w+2L
Hope this helps!
--Applepi101
the sum of a number and 12 is 31. Inches hat is the number?
Answer:
n+12=31
n=31-12
n=19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
!!URGENT PLEASE HELP!!
A line segment has endpoints A(-6, 1) and B(0, 7). When AB is reflected in the y-axis, triangle ABA’ is formed. Graph ABA’ , you will see and you will be able to prove it is a right triangle. Name the parts of the right triangle, identify the two legs and the hypotenuse. And, Explain how you would prove ABA' is a right triangle?
Answer:
im not sure i need points though
Step-by-step explanation:
The proof is given below
What is right angle triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangled triangle, is a triangle in which one angle is a right angle or two sides are perpendicular. A right angled triangle is a triangle with one of the angles as 90 degreesHow to solve this problem?The steps are as follow:
Reflection about y-axisp(x,y) = p'(-x,y)
A(-6,1) = A'(6,1)
The longest side is AA' is the hypotenuseThe right angle of right triangle is opposite the hypotenuseAB and A'B are the two legs of triangleAB is opposite side
A'B is adjacent side
Length of AA' is 12 unitsThe vertical distance y=6ΔABC = ΔA'BC (both right angle)[tex]A'B=AB=\sqrt{6^{2}+6^{2} }=8.5[/tex]Sin∅=8.5/2∅ = 45° (Angle between AB and AA')Hence we can prove that triangle is right angle triangle
Learn more about right angle triangle here:
https://brainly.com/question/64787
#SPJ2
Factor the common factor out of each expression: 30+6k+18k^5
Hello! please helpp
5x divide 7 = y
turn this into a word problem and solve for x and y.
Answer:
5x÷7=y
x=7y/5
Step-by-step explanation:
5x÷7=y
5x=7y
x=7y/5
how do you do this?
Step-by-step explanation: 6 22 22 51
one orange box is 10 the other box looks like 15
the scale factor is 15/10 or 1.5
the smaller triangle blue box is a 4
multiply 4 by the scale factor 1.5
4 × 1.5 = 6
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answer:
A.)
Step-by-step explanation:
A.)
Answer:
A :)
Step-by-step explanation:
Avery goes out to lunch. The bill, before tax and tip, was $9.80. A sales tax of 6% was added on. Avery tipped 19% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip? Round to the nearest cent.
Answer:
12.36
Step-by-step explanation:
price x sales tax rate =sales tax
9.80 x .06=sales tax
.59=sales tax
price + sales tax=price with sales tax included
9.80+.59=10.39
price with sales tax x tip percentage=tip amount
10.39 x .19=1.97
price with sales tax + tip = total amount
10.39+1.97=12.36
