Answer:
The answer is below
Step-by-step explanation:
Let x be the diameter of the semicircle. radius = x/2
The window is a combination of a rectangle and semicircle.
Width of window = diameter = x, let length of the window = y.
Perimeter of semicircle = πr = πx/2
Perimeter of window = x + y + y + πx/2
20 = x + 2y + πx/2
2y + x + πx/2 = 20
2y = 20 - x(1 - π/2)
y = 10 - x(1 - π/2)/2
Area of semicircle = (1/2)πr² = (1/2)π(x/2)²
Area of window = xy + (1/2)π(x/2)²
A = x(10 - x(1 - π/2)/2) + πx²/8
A = 10x - x² - πx²/4 + πx²/8
A = 10x - x² - πx²/8
The maximum area is at dA / dx = 0
dA / dx = 10 - 2x - 2πx/8
0 = 10 - 2x - πx / 4
2x + πx / 4 = 10
2.785x = 10
x = 3.59 feet
Maximum area = 10x - x² - πx²/8 = 10(3.59) - 3.59² - π(3.59²) / 8
Maximum area = 17.95 feet²
Mrs.Jones orders pizzas for a class party. Each pizza will be cut into 8 slices. There will be 36 people at the party. How many pizzas should Mrs.Jones order so that each person can have a slice.
Answer:
I can't help my self
(your going to be soooo mad when you open up to see me munching on ur points)
Step-by-step explanation:
um i have to write here to send the question so here k bye
Answer:
142
38
Step-by-step explanation:
A line passes through the point (4, -6) and has a slope of -3/4. Which is the
equation of the line?
Answer:
I have not dealt with slope for a while but if its in the form y=mx+b then the x is the slope so it would be -3/4x and b is the y intercept. the y in the cords is -6
Step-by-step explanation:
y= -3/4x -6
AYO SMARTIES!!! HELP ME PLEASE YO
Answer:
25.26
Step-by-step explanation:
24.56+0.7
25.26 5+ 7 is 12 so carry the 1 over 1+4 =5
write the expression in expanded form that is equivalent to 3(7d +4e)
Answer:
21+4
Step-by-step explanation:
3 times 7=21
3 times4=12
21d+4e
Answer:
21d+12e
Step-by-step explanation:
I'm pretty sure thats it if its expanding.
For what values of x is the inequality below true?
6x-2 ≥ 10
Answer:
x[tex]\geq[/tex]2
Step-by-step explanation:
You add 2 to both sides. Then you divide everything by 6. Hope this helps!
Will give brainless asappppp
Answer:
$50 withdrawal from bank account
Step-by-step explanation:
If your withdrawing money, that's consider as taking away.
tamara spun the arrow on a spinner 50 times. The number of times the arrow landed on each colored section of the spinner is shown in the table.
Based on the results in the table what fraction of the area of the spinner is most likely represented by the red section?
Answer:
1/50, this is the answer for the choices..
Hope this helps you !
Answer:
1/50
Step-by-step explanation:
hope this helped
A yard is 3.1 meters long and 1.4 meters wide. What is the area of the yard? Group of answer choices
Answer:
The area of the yard is 4.34.
Step-by-step explanation:
a = l x w
a = 3.1 x 1.4
a = 4.34
An 8-cup bucket of paint costs $14.24. What is the price per pint?
Answer:
1.78$
Step-by-step explanation:
Step-by-step explanation:
8 cup bracket of paint coats [tex]\tt{14.24\$ }[/tex] ⠀
per paint backet costs=[tex]\tt{\dfrac{14.24}{8} }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{1.78\$ }[/tex] ⠀
whats the change in elevation from 8,500 to 3,400
Answer:
-5100
Step-by-step explanation:
Use the scale factor from Part I and a proportion to find the length of RT. Show your work.
Similar triangles are those triangles whose corresponding sides are in the same ratio. The length of the sides ST and RT are 5 units and 3 units, respectively.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by ‘~’ symbol.
Given that the two triangles are similar because the two have the same ratio. Therefore, the ratio of the corresponding sides in the triangle can be written as,
Ratio = AB/RS = BC/ST = AC/RT
Ratio = 18/6 = 15/ST = 9/RT
Now, using the ratio the length of the sides can be written as,
18/6 = 15/ST
ST = (15 × 6)/18
ST = 5 units
18/6 = 9/RT
RT = (9 × 6)/18
RT = 3 units
Hence, the length of the sides ST and RT are 5 units and 3 units, respectively.
Learn more about Similar Triangles:
https://brainly.com/question/25882965
#SPJ5
Help
Sjsjjjsjajajahjajaja
Answer:
hi
Step-by-step explanation:
[tex] {5}^{2} + {x}^{2} = {7}^{2} \\ 25 + {x}^{2} = 49 \\ {x}^{2} = 49 - 25 \\ {x}^{2} = 24 \\ x = \sqrt{24} [/tex]
have a nice day
the sum of two integers is 9. the product of the integers is 14. what are the integers?
whats the answer for this ? help please
Answer:
7 and 2
Step-by-step explanation:
x+y=9
xy=14
y=14/x
x+14/x=9
x^2-9x+14=0
.......
x=2,7
The tree in Mary’s backyard is 7.1 m high. How high is it in centimeters?
Answer:
701 cm
Step-by-step explanation:
cm =m * 100.0000
cm =7.1 * 100.0000
cm =710.0000
What is |-8|
Please help
|-8| = 8 means the absolute value of -8 is 8
Answer = 8
(−6x+3)−(−2x^2+6x−10)
Answer:
2x^2-12x+13
Step-by-step explanation:
1. Distribute the - sign to all #'s within the parentheses
-6x+3+2x^2-6x+10
2.Combine like terms
2x^2-12x+13
?x?=48
?x?=-19
Please help
Answer:
I don't know how this works, I'm in 6th grade but if it helps, 16x3=48 and 19 is a prime number, so 1x19=19 <3
Select the correct simulations
Identify the simulations that correctly use numbers to represent a situation in which 55% of store shoppers already have store credit cards.
shoppers with store credit
cards: 1 through 11
shoppers without store credit
cards: 12 througe 20
shoppers with store credit
cards: 1 through 21
shoppers without store credit
cards: 22 through 40
shoppers without store credit
cards: 1 through 33
shoppers with store credit
cards: 34 through 60
shoppers without store credit
cards: 1 through 18
shoppers with store credit
cards: 19 through 40
shoppers with store credit
cards: 1 through 24
shoppers without store credit
cards: 25 through 40
shoppers without store credit
cards: 1 through 36
shoppers with store credit
cards: 37 through 80
Answer: a) and b)
Step-by-step explanation: Lets find the percentages for each option.
a). with 1-11 without 12-20
Here there are 20 shopers. From 1 to 11, there are 11 shoppers. From 12 to 20, there are 9 shoppers. 11 of 20 have credit cards, and 11/20 = 0.55. So this option is correct
b). with 1-33 without 34-60
Here there are 60 shoppers. 1 to 33 there are 33 shoppers with store credit cards. 33/60 = 0.55. So this is also a simulation which represents this situation.
c). with 1-24 without 25-40
Here there are 40 shoppers. 1 to 24, so there are 24 shoppers with the store credit card. 24/40 = 0.6. So this is not a correct option.
d). with 1-21 without 22-40
Here there are 40 shoppers, of which 21 have the credit card. 21/40 = 0.525, so this is not one of the options
e). with 1-18 without 19-40
Here there are 40 shoppers, of which 18 have the credit card. 18/40 = 0.45, so this is not one of the options.
f). with 1-36 without 37-80
Here there are 80 shoppers, of which 36 have the credit card. 36/80 = 0.45,
so this is not one of the options.
Answer:
answers are A, D, and F
Step-by-step explanation:
PLATO
Find the product of 2 1/4 and 1 2/3
Answer:
15/4
Step-by-step explanation:
Make both fractions improper:
9/4 and 5/3
Multiply the numerators and denomenators accross:
(9*5)/(4*3)=45/12
Simplify:
15/4
A pool holds 19,900 gallons of water. There are two
Answer:
396010000
Step-by-step explanation: You multiply 19,900 * 19900 because there are 2 pools and you will get your answer
4•4 - (-1)
Does this equal 3
Answer:
no, 4×4=16
16-(-1)=16+1=17
Answer: no it equal 17.
Step-by-step explanation: do 4 times 4 then you have 16-(-1) then change to 16+1 which equals 17.
Plz help I will reward good points
Answer:
its a part b so id k how many they sell in genral. comment how many and ill solve it for ya :)
In a year there are 4months that have 30 days what is the ratio of the months with 30 days to the months with other than 30 days
Answer:
4:8
Step-by-step explanation:
Since there are 4 months with 30 days, there are 8 other months with other amounts of days, therefore the ratio is 4:8
Determine if the statement is true or false. A system in echelon form can have more variables than equations. True False
Answer:
True.
Step-by-step explanation:
A system of a mathematical expression such as a matrix is said to be in echelon form when it has many variables.
There are two (2) forms of echelon matrices and these includes;
I. Reduced row echelon form (RREF)
II. Row echelon form (REF)
Hence, a system in echelon form can have more variables than equations.
[tex]\left[\begin{array}{ccc}1&2&3\\0&0&1\\0&7&5\\0&0&0\end{array}\right][/tex]
What is a watt, which is a unit of power, equal to?
Answer: a joule divided by a second
Step-by-step explanation:
A multiplier of 1.641 corresponds to a percentage increase or decrease of what percent?
Answer:
A multiplier of 1.641 corresponds to a percentage increase or decrease of 64.1%.
Step-by-step explanation:
To determine a percentage increase or decrease of a certain number, a calculation consisting of the multiplication of said number by 1 plus the decimals corresponding to the percentage to be increased must be performed. Thus, for example, if you want to increase a number by 50%, you must multiply that number by 1.50. Therefore, if you multiply a number by 1,641, this implies that you are wanting to increase or decrease the initial number by 64.1%.
Question is in the jpg link
Answer:
B
Step-by-step explanation:
why do planet need a core dont ask for brainlist i dont know some guy tried to but could not help me
Answer:
Any planet in any solar system needs a heat source and that is what the core acts as also as a side note the core also keeps the electromagnetic field in order. Hope this helps :)
The graph shows the number of paintballs, y, a machine launches in x seconds. Which expression can be used to calculate the rate per second at which the machine launches the balls? (1 point)
120 over 5
5 over 120
5 over 30
30 over 5
Answer:
Option B.) 12/2 (´⌣`ʃƪ)
Step-by-step explanation:
The rate of a linear equation is equal to the slope m
The slope is equal to
points (2,12) and (4,24)
m=(24-12)/(4-2)
m=12/2
m=6 balls/sec