Answer:
ok
Step-by-step explanation:
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 8 ft, find the value of x so that the greatest possible amount of light is admitted.
Answer: x = 2
If x is the width of the window, the value for x that results in the greatest area-- presumably admitting the greatest amount of light.
Step-by-step explanation:
Initial calculations to find a starting value for w.
Determine dimensions that will have a sum of 8 as the perimeter. The length of the arc plus three sides of the rectangle.
The length of the arc is half the circumference of the circle, the width is the diameter. So, modifying the equation: C= πd, a = πw/2
Three sides of a rectangle (presumably a square for the initial calculation) 3w
Initial equation: 3w + πw/2 = 8 Substitute 3.14 for π and solve for w
2(3w) + 2(3.14w/2) = 2(8) multiply all terms by 2 to eliminate denominator
6w + 3.14w = 16 combine like terms
9.14w = 16 divide both sides by 9.14
w ≈ 1.75
Calculate the area using this value:
Area of semicircle: πr²/2 r= 1.75/2
3.14(.875)²/2 ≈ 1.203
Area of rectangle 1.75 × 1.75 = 3.0625
Total Area with width 1.75 : 4.265 ft²
Increasing the width to 2
The length of the arc becomes 3.14 This is twice the area of the semicircle.
3.14/2 = 1.57
The height of the rectangle reduces to 1.43
1.43 × 2 = 2.86
Total area with width of 2 ft 2.86 + 1.57 = 4.43 ft²
So 2 ft seems to be the optimal width.
What are the scale factor of ABC dilated to XYZ plz help
====================================
Explanation:
The order is important for ABC and XYZ so we can see what letters pair up.
A pairs with X since they are the first lettersB pairs with Y since they are the second lettersC pairs with Z since they are the third lettersBased on that, we can see that AB pairs with XY as they are the first two letters of ABC and XYZ respectively.
Divide the length XY over AB and reduce
XY/AB = 10/15 = 2/3
We could also divide XZ over AC
XZ/AC = 14/21 = 2/3
and we get the same ratio
A river has a current of 2km per hour. Find the rate of Fred’s boat in still water if it travels 30 km downstream and the same time it takes to travel 14 km upstream.
Answer:
32km
Step-by-step explanation:
The following table shows the annual profits for two small florist shops what shop had the greater total profit? How much greater was its profit?
Plz answer ASAP I will mark u brainlyest this is my 5th time asking please answer
Answer:
Shop A & $400
Step-by-step explanation:
-4.7 + 27.5 + 122.3 = $145.1 (Shop A)
-0. 2 + 14.5 + 130.4 = $144.7 (Shop B)
Difference = 145.1 - 144.7 = $0.4
0.4 × 1000 = $400
An experiment consists of determining the speed of automobiles on a highway using a radar equipment. The random variable in this experiment is a:
Answer:
the speed value that the radar equipment outputs.
Step-by-step explanation:
A random variable in an experiment is also (and most times the case) called a dependent variable. In this scenario, the random variable would be the speed value that the radar equipment outputs. This is because this value depends on the actual velocity of the cars that pass by the equipment. The faster the car is moving when it passes the radar the higher value will be displayed on the equipment. Therefore, depending completely on the vehicles.
1. Describe how to show that triangle PMO = triangle PMN using the SSS Congruence Postulate. Then, without using a protractor, find a way to show that the triangles are congruent using the SAS Congruence Postulate.
Answer:
ayudenle porfa :)
Step-by-step explanation:
porfa
- 8n - 8 = -72
I don’t know how to do this
Answer:
n=8
Step-by-step explanation:
Add 8 to both sides of the equals sign, then bring down -8n, add -72+8, You'll get -64, lastly you divide -64 and -8, and you'll get your answer
Question 4
5 pts
4. Cassie has 45 marbles. Abdul has m If Cassie has 9 times as many
marbles as Abdul. Choose the equation that correctly represents the
number of marbles Abdul has.
O 9 x m = 45
O 45 - 9 = m
O C. 9+ m = 45
O D. 9 x 45 = m
Answer:
8 x m = 45
Step-by-step explanation:
cassie has 9 times which means multiplcation so its the first one
what is -1(9)
Ignore theses it said it was too short
Ik y’all good at math, help me out yall!
Answer:
i think the answer be 150 feet per minute
hope this is right
Answer:
150
Step-by-step explanation:
use points on the line i'll use (2,300) and (1,150)
m=y2-y1/x2-x1
300-150=150
2-1=1
150/1=150
hope this helps :3
sorry if im wrong
is |-4| equal to |4|?
Answer:
Yes
Step-by-step explanation:
Absolute value measures the distance between the number and 0. The distance between -4 and 0 is 4, and the distance between 0 and 4 is 4. Therefore, they are equal.
Answer:
yes
Step-by-step explanation:
the l l symbol is the absolute value symbol, it counts how far the number is from zero meaning that the outcome is always positive.
Claire wants to determine how her math score 690 on a standardized college entrance exam compared to her mother score 680 what she took the exam 20 years earlier the year Clair took the exam the mean math score was 510 with a standard deviation of 110 points on Claires mother took the exam the mean math score was 490 with a standard deviation of 100 points who has the better relative performance
Answer:
Claires mother did better because her z score was greater than Claires
Step-by-step explanation:
I j took the quiz
Claire's mother did better because her z-score was greater than that of Claires.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
As per the given information, the solution would be as
Here is Claire's data:
ц₁ = 510
σ₁ = 110
X₁ = 690
⇒ z-score = (X₁-ц₁ )/σ₁
Substitute the values,
⇒ z-score = (690 - 510)/110
⇒ z-score = 180/110
⇒ z-score = 1.636
Here is Claire's mother's data:
ц = 490
σ₂ = 100
X₂ = 680
⇒ z-score = (X₂-ц )/σ₂
Substitute the values,
⇒ z-score = (680 - 490)/100
⇒ z-score = 190/100
⇒ z-score = 1.9
So Claire's mother's z-score > Claire's z-score
Therefore, Claire's mother did better because her z-score was greater than that of Claires.
Learn more about the z-score here:
brainly.com/question/13793746
#SPJ5
what is 78756567.998 divided by 76454
Answer:
1,030.11703766971
Step-by-step explanation:
Just use a calculator (windows + r and then type calc if your on windows or search up calculator)
|
1.64 divided by what equals 0.04?
Answer:
41Step-by-step explanation:
1.64 : x = 0.04 ⇒ x = 1.64 : 0.04
1.64 : 0.04 → 164 : 4 = 41
Check:
1.64 : 41 = 0.04
1.64 divided by the number 41 equals 0.04.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
The given numbers are 1.64 and 0.04.
Let the unknown number be x.
1.64 divided by x equals 0.04, that is
1.64/x =0.04
0.04x=1.64
x=1.64/0.04
x=41
Therefore, 1.64 divided by 41 equals 0.04.
To learn more about the division visit:
https://brainly.com/question/1575906.
#SPJ2
MATH what is 9x1 9x2 9x3 9x4 9x5 9x6 9x7 9x8 9x9 9x10
EASY MATH 10 POINT
Answer:
9
18
27
36
45
54
63
72
81
90
Step-by-step explanation:
I just take the last numer of the times 9 and subtract 1 and put whatever equals 9.
example 9x7=63
7-1=6+3 so 63
Sorry if it does not make sense
8. Fay Teng's expenditures for the past 3 months were: August,
$1,735.50; September, $1,829.42; and October, $1,793.88.
What is her average monthly expenditure?
9. You use the utility company's budget plan for paying your
home heating bills. You pay $75 a month for 9 months. Your
actual bills are: September, $28.95; October, $16.15; November,
$68.46; December, $109.34; January, $115.26; February. $94.19;
March $75.66; April, $51.97; and May, $49.16. Compute the
average for the 9 months.
ght The McGraw-e Companies, Inc. All rights
=$75.66 all in all and $67.99 dollars
what number is 1/10 of 8000000
Answer:
800000
Step-by-step explanation:
The formula to put in E176 that will give me the sum of all the units sold by the indicated sales rep and product is:
Question attached
Answer :
There is no such formular
Explanation:
there is no such Formula I'm the options given. However the total product units sold by the sales representative for the period can be calculated in the excel sheet by adding up the cells with the units sold(cells F179,F180... to F186) and inserting the formula in the cell under total units sold by sales representative. So any change of figures in the cells added would reflect in the total units cell E176, if there is an additional figure for units sold in another cell, we could add this cell to formula in E176
Write all prime numbers between 10 and 20
Answer:
11,13,17,19
Step-by-step explanation:
Answer:
11 , 13 , 17 and 19
Step-by-step explanation:
good luck :)
4.8(x-1.75)= -9.6 but without the distributive property
What is the ratio of daises to all the flowers in the vase?
Answer: Do you have the original ration so we can simplify it then??
Step-by-step explanation:
What fraction is equivalent to 0.1666666...
Answer:
1/6
Step-by-step explanation:
The value of the fraction that is equal to the number 0.16666... would be 5/30.
Given that,
Change the number 0.16666... into a fraction.
Used the concept of fraction which stated that,
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.
Let us assume that the number 0.1666.. equal to x.
Hence,
x = 0.166666 ..... .. (i)
Multiply by 10 on both sides,
10x = 1.66666... (ii)
Also, multiply by 100 in equation (i),
100x = 16.6666.. (iii)
Subtract equation (ii) from (ii),
100x - 10x = 15
90x = 15
x = 15/90
Simplify for the simplest form,
x = 5/30
Therefore, the value of the fraction is 5/30.
To learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
Walt multiples 25 times 16 using partial products what did walt do wrong
Answer:
first what the full question and if 25*16/2=200
Step-by-step explanation:
PLEASE HELP!!!!
Drag each tile to the correct box.
Match each savings plan to its description.
401(k)
Roth IRA
403(b)
529 plan
health FSA
a tax-deferred retirement savings plan available to employees of some nonprofit
organizations and educational Institutions
a tax-advantaged college savings plan
an employer-offered retirement account that accepts contributions from
employees and employers
a tax-advantaged savings account available through employers to pay for
qualified medical expenses
a retirement Investment account managed by individuals, deposits are taxable,
but funds are tax exempt when withdrawn at retirement
Answer:
403(b)
529 plan
401(k)
health FSA
Roth IRA
Step-by-step explanation:
I looked it up. Good luck :)
Answer:
401(b)
529 plan
401(k)
health FSA
Roth IRA
Step-by-step explanation:
why is 1+1 = 2 and not 8? Why did someone came up with 2? How do you approach 2 from 1+1? Who even invented numbers? Why is math a thing? Why are we conditioned to know that 1+1 =2?
−20=−4x−6x Find the value of x
Answer:
[tex]\huge\boxed{x=2}[/tex]
Step-by-step explanation:
[tex]-20=-4x-6x\qquad|\text{combine like terms}\\\\-20=-10x\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-20}{-10}=\dfrac{-10x}{-10}\\\\2=x\to x=2[/tex]
____ is 22 more than 88
Answer:
110
Step-by-step explanation:
88+22=110
HELP ME PLEASE 9 3/5 + 8 3/5
Answer:
18 1/5
Step-by-step explanation:
9 3/5 + 8 3/5
We have a common denominator, so add the whole numbers
9+8 = 17
Add the fractions
3/5+ 3/5 = 6/5
17 6/5
We can simplify since we have an improper fraction
17 + 5/5 + 1/5
17+1+1/5
18 1/5
Answer:
18 1/5
Step-by-step explanation:
9 3/5 + 8 3/5=
First we do 9+8 which is 17
3/5+3/5= 6/5
17 6/5
Simplify:
18 1/5
Solve for f:
f divided by -2/3 = -1/3
Answer:
2/9
Step-by-step explanation:
Please help!!!- Find the measure of the angle in bold.
Need help to figure out to solve this.
Answer:
11x-6+(19x+6)=180°
11x+19x-6+6=180°
30x=180
x=180/30
x=6
it means that
19x+6=19*6+6=114+6=120°