Divide capacity by sections:
5782 / 24 = 240.9167
The number of seats in each section is needs to be a whole number so there are 240 seats per section:
240 seats per section x 24 sections = 5,760 seats.
Priority seats is capacity - total section seats:
5782 - 5760 = 22
There are 22 priority seats
ABCD is a parallelogram in which cd = 7cm Ad = 5cm ND adc = 125.. Find correct to one decimal place the area of the parallelogram.
28.7cm²
Step-by-step explanation:
The sketch of the parallelogram is attached to this response.
As shown in the sketch,
h is the height of the parallelogram
ADC is 125°
AD = 5cm
CD = 7cm
Also
Since the adjacent angles of a parallelogram are supplementary (add up to 180°), it means that;
=> ADC + BCD = 180°
=> 125° + BCD = 180°
=> BCD = 180° - 125°
=> BCD = 55°
The area (A) of a parallelogram is given by;
A = b x h ----------(i)
Where
b = base of the parallelogram
h = height of the parallelogram
From the sketch,
b = CD = 7cm
h can be found by using the sine trigonometric function as follows
sin BCD = [tex]\frac{h}{BC}[/tex]
=> sin 55° = [tex]\frac{h}{5}[/tex]
=> h = 5 sin 55°
=> h = 5 x 0.8192
=> h = 4.096cm
Now, substitute the values of h and b into equation (i) as follows;
A = 7 x 4.096
A = 28.672
A ≅ 28.7 (to one decimal place)
Therefore, the area of the parallelogram is 28.7cm²
how many and what type of solutions does 5x^2-2x+6 have
Answer:
two irrational solutions
Step-by-step explanation:
you can use the quadratic formula: (b ± √b²- 4ac)÷2a
a = 5, b = -2, c = 6
= [2 ± √(-2²)-4(5)(6)] ÷ 2(5)
= (2 ± √4-120) / 10
two complex solutions: (2+√-116)/10, (2-√-116)/10
FAST PLEASE
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random. What is the approximate probability that exactly three of the cards are diamonds? 1% 4% 11% 44%
=====================================================
Explanation:
We'll involve the nCr combination formula here. This is because order doesn't matter.
There are n = 13 diamonds and we want to select exactly r = 3 of them.
So,
[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{13} C _{3} = \frac{13!}{3!*(13-3)!}\\\\_{13} C _{3} = \frac{13!}{3!*10!}\\\\_{13} C _{3} = \frac{13*12*11*10!}{3!*10!}\\\\_{13} C _{3} = \frac{13*12*11}{3!}\\\\_{13} C _{3} = \frac{13*12*11}{3*2*1}\\\\_{13} C _{3} = \frac{1716}{6}\\\\_{13} C _{3} = 286\\\\[/tex]
There are 286 ways to pick the three diamond cards. Then there are 52-13 = 39 ways to pick the fourth card that is either a spade, club of heart.
So we have 286*39 = 11,154 ways to pick the four cards given the conditions your teacher set.
This is out of 52C4 = 270,725 ways to pick four cards (use the nCr formula above with n = 52 and r = 4).
Divide the two values to get the answer:
(11,154)/(270,725) = 0.04120048019208
that rounds to 0.04 which converts to 4%
So there's roughly a 4% chance of getting exactly 3 diamond cards.
Answer:
4% (four percent)
A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper. How many different ways could the list be written?
Answer:
Total number of orders = 77,520
Step-by-step explanation:
Given:
Number of students on team = 20
Number of students on the starting line =9
Find:
Total number of orders
Computation:
Total number of orders = 20! / [20 - 7]!(7!)
Total number of orders = 20! / [13]!(7!)
Total number of orders = [20 x 19 x 18 x 17 x 16 x 15 x 14] / [7 x 6 x 5 x 4 x 3 x 2 x 1]
Total number of orders = 77,520
The number of different ways that the list can be written will be 167,960.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper.
The number of different ways that the list can be written will be
²⁰C₉ = 20! / [(20 - 9)! x 9!]
²⁰C₉ = 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
²⁰C₉ = 167,960
The number of different ways that the list can be written will be 167,960.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
Darla is painting a mural. She needs to paint a rectangular stripe that measures 1 half yard by 6 yards. Which is the area of the stripe?
Answer:
3 yards^2
Step-by-step explanation: Area of a rectangle=Length*Width. 6 yards*0.5 yards=3 yards^2
Important: (Worth 50 Points)
The number of adults at an amusement park, measured in hundreds of people, is represented by the function a(w)=−0.4w2+5w+9, where w is the number of weeks since the amusement park opened for the season.
The number of children at the same amusement park, measured in hundreds of people, is represented by the function c(w)=−0.2w2+9w+12, where w is the number of weeks since the amusement park opened for the season.
What function, f(w) , can be used to determine how many more children than adults are at the amusement park any week during the season?
f(w)=−0.2w2+4w+3
f(w)=−0.2w2+4w−3
f(w)=0.2w2+4w+3
f(w)=0.2w2+14w+3
Answer:
C. f(w) = 0.2w² + 4w + 3Step-by-step explanation:
The function f(w) is the difference of c(w) and a(w):
f(w) = c(w) - a(w) = − 0.2w² + 9w + 12 - (- 0.4w² + 5w + 9) =− 0.2w² + 9w + 12 + 0.4w² - 5w - 9 =0.2w² + 4w + 3Correct choice is C
In August 200920092009, Usain Bolt ran 100100100 meters in 9.589.589, point, 58 seconds (\text{sec})(sec)(, start text, s, e, c, end text, ), setting the world record at that time. There are approximately 1.0941.0941, point, 094 yards (\text{yd})(yd)(, start text, y, d, end text, )in a meter. What was Usain Bolt's average speed in yards per second
Answer:
Record speed of Usain Bolt in yards per second = 11.42 Yards (Approx.)
Step-by-step explanation:
Given:
Record speed of Usain Bolt = 100 meter in 9.58 second
1 meter = 1.094 yards
Find:
Record speed of Usain Bolt in yards per second
Computation:
Record speed of Usain Bolt = 100 meter in 9.58 second
1 meter = 1.094 yards
100 meter = 1.094 × 100 yards
100 meter = 109.4 yards
Record speed of Usain Bolt in yards per second = 109.4 / 9.58
Record speed of Usain Bolt in yards per second = 11.4196
Record speed of Usain Bolt in yards per second = 11.42 Yards (Approx.)
5.88 pts
> A statue of George Washington is in Druid Hill Park. Elliot stands 16 ft away from the
statue, and places a mirror 12 ft from the statue (4 ft from his feet). He can see the
top of the statue in the mirror. If Elliot's height is 6 ft. How tall is the statue?
O 2 ft
O 18 ft
0 24 ft
O 8 ft
Answer:
18 ft
Step-by-step explanation:
Similar triangles are proportional
Ratio of vertical legs = Ratio of base legs
x/6 = 12/4
multiply both sides by
x = 12/4 * 6
x = 18 ft
The equation of the line that has a slope and passes through the point (-1, -3) is 3x + 2y +3 = 0.
Answer:
below
Step-by-step explanation:
that is the procedure above
What is the probability of getting 1 red and then blue?
Answer:
Find the volume of this prism.
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
15x2
ANSWER
Step-by-step explanation:
EXAMPLESmonomial:-20ybinomial:-25x+70ytrinomial:-13x+17y+√16Degree of polynomial of 15x^2 isDEGREE =2
David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually
Complete Question
David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually.how many stores does the restaurant operate in 2020?
Answer:
[tex]N_{11} \approx 749[/tex]
Step-by-step explanation:
From the question we are told that:
Number of Fast Food Restaurants [tex]P=200[/tex]
Number of years [tex]t=11yrs[/tex]
Rate [tex]r=12%[/tex]
Generally the equation for the Number of restaurant in operation in 2020 is mathematically given by
[tex]N(t)=Pe^{rt}[/tex]
Therefore
For t=11
[tex]N_{11}=200*e^{0.12*11}[/tex]
[tex]N_{11}=748.7[/tex]
[tex]N_{11} \approx 749[/tex]
Solve for x. assume that lines which appear tangent are tangent. x=
Answer:
x = 8
Step-by-step explanation:
The product of the length of the exterior segment of a secant and the length of the secant is equal to the correpsonding operation with the other secant.
9(9 + 11) = 10(10 + x)
180 = 100 + 10x
10x = 80
x = 8
Bab isn’t good with quick mafs
Answer:
153.86
Step-by-step explanation:
Formula area circle = πr²
Solve:
Area = 3.14* 7²
Area = 3.14 * 49
Area = 153.86
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
[tex] \sqrt] a3 - b3[/tex]
what is answer
Answer:
y=3-b linear function
Step-by-step explanation:
Please help with this question.
Answer:
The value of "h" = 32 unit
Step-by-step explanation:
Given:
In given parallelogram
Height for base 36 = 24
Height for base 27 = h
Find:
The value of "h"
Computation:
Area of parallelogram = Base x Height
For base 36
Area of parallelogram = 36 x 24
Area of parallelogram = 864 unit²
For base 27
Area of parallelogram = 27 x h
864 = 27 x h
The value of "h" = 864 / 27
The value of "h" = 32 unit
Pleaseee HELP ASAP !!!
Answer:
A: (x-5.5)^2 + (y-4)^2=12.25
Step-by-step explanation:
Scarlett can bake 10 cookies with each scoop of flour. Write an equation that shows the relationship between the scoops of flour x and the cookies y. Write your answer as an equation with y first, followed by an equals sign.
1 1/5+3 2/5
they both are mixed numers
Answer:
4 3/5
hope this helps
have a good day :)
Step-by-step explanation:
1+3=4
1/5+2/5=3/5
In the diagram below, A ABC DEF
Which sequence of transformations maps A ABC onto A DEF.
Answer:
basically the opposite
Step-by-step explanation:
its inverted therefore find out how to get c b a and boom
4x +y = 10 graph the linear equation
does 3 noncollinear lines always from a triangle?
Answer:
Three non-co-linear points determine a circle. Three non-co-linear points determine a triangle only if you assume that each pair of these points determines a line which is a side of the triangle. Then, the three points will be the vertices of the triangle.
If you do not have this constraint, so that each line that forms a side of the triangle need pass through only one of the three points, then the three points will not determine a particular triangle
Can y’all help me ASAP please?
Step-by-step explanation:
[tex]8 log_{5}( {x}^{5} ) = 8 \times 5 log_{5}(x) \\ = 40 log_{5}(x) [/tex]
Triangle MNO has vertices M(6,5), N(2,2), and O(7,0). It's image has vertices M'(-6,5), N'(-2,2), and
O'(-7,0). Which line of reflection maps triangle MNO onto its image?
x = 1
y=1
x = 0
.y=0
Answer:
x=0
Step-by-step explanation:
because the y values are not changing and the x values are only changing from positive to negative.
need help with thisss
9514 1404 393
Answer:
cos(x) = 0.6
Step-by-step explanation:
First, we need to find UQ.
UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)
UQ = 24 cm
Then TQ is ...
TQ = 1/3UQ = 1/3(24 cm) = 8 cm
And cos(x°) is ...
cos(x°) = √(1 -sin²(x)) = √(1 -64/100)
cos(x°) = 6/10 = 3/5
cos(x°) = 3/5 = 0.6
Create your proportions using the form to represent the flowing problem seven is what percent of 30?
Answer:
23.33%
Step-by-step explanation:
Let
x = percentage
Base = 30
Amount = 7
x% of 30 = 7
x/100 * 30 = 7
(x*30) / 100 = 7
30x / 100 = 7
Cross product
30x = 100 * 7
30x = 700
x = 700/30
x = 23.333333333333
Approximately,
x = 23.33%
8 books cost 11.20. Find the cost of 5 books
First of all we have to find the cost of a book then multiply it by 5 :
$ 11.20 ÷ 8 = $ 1.4
$ 1.4 × 5 = $ 7
Thus 5 books have a cost of $ 7 .
Answer:
The cost of 5 books is $7
Step-by-step explanation:
If there are 8 books and you need to find the cost of 5, you need to first find the cost for one book.
If 8 books cost 11.20.
11.20 ÷ 8 = 1.40
1.40 is the cost of one book
1.40 x 5 = 7
So the cost of 5 books is $7
I tried my best to explain
why does reflexive property exist
which veal represents the functions ?
A. graph A only
B. graph D only
C. graph B and graph D
D. graph C and graph D
hola quien habla español bueno ya no Adios :)
Answer:
C.(B and D
Step-by-step explanation:
Multiply using suitable properties: 7219 x (-1005)