Answer:
96%
Step-by-step explanation:
c=100=22/7D
D=7/22×100
get the radius and find the area
R=D/2
A=pi×r^2
repeat that assuming
C=140
get the area
find the %age
A2_A1=Area difference
A(diff)/A1×100=96.01%
[tex]r_{2}[/tex]Answer:
D) 96%
Step-by-step explanation:
let the circumference of circle be C = 2π[tex]r_{1}[/tex] and [tex]r_{1}[/tex] = [tex]d_{1}[/tex]/2
Initial radius (radius before increment) = [tex]r_{1}[/tex]
initial diameter (diameter before increment) = [tex]d_{1}[/tex]
Increasing the circumference of a circle other factors are constant except the radius which can be used to find the diameter hence increasing the circumference of a circle is equivalent to increasing the diameter
area of the circle before increment [tex]A_{1}[/tex] = π[tex]r_{1}[/tex]²
[tex]A_{1}[/tex] = π × ([tex]d_{1}[/tex]/2)²
[tex]A_{1}[/tex] = π[tex]d_{1}[/tex]²/4
Increment of circumference results to increment of only the diameter
diameter after increment by 40%, [tex]d_{2}[/tex] = 1.4[tex]d_{1}[/tex]
1.4 represents increment by 40%
radius after increment [tex]r_{2}[/tex] = [tex]d_{2}[/tex]/2 = 1.4[tex]d_{1}[/tex]/2 = 0.7[tex]d_{1}[/tex]
area after increment, [tex]A_{2}[/tex] = π[tex]r^{2} _{2}[/tex]
[tex]A_{2}[/tex] = π(0.7[tex]d_{1}[/tex])²
[tex]A_{2}[/tex] = π × 0.49[tex]d_{1}[/tex]²
Change in area = [tex]A_{2}[/tex] - [tex]A_{1}[/tex]
[tex]A_{2}[/tex] - [tex]A_{1}[/tex] = π × 0.49[tex]d_{1}[/tex]² - π [tex]d_{1}[/tex]²/4
[tex]A_{2}[/tex] - [tex]A_{1}[/tex] = π [tex]d_{1}[/tex]²(0.49 - ¼)
[tex]A_{2}[/tex] - [tex]A_{1}[/tex] = π [tex]d_{1}[/tex]²(0.49 - 0.25)
[tex]A_{2}[/tex] - [tex]A_{1}[/tex] = 0.24 π[tex]d_{1}[/tex]²
Percentage increment = ([tex]A_{2}[/tex] - [tex]A_{1}[/tex]/ [tex]A_{1}[/tex]) × 100
= ((0.24 π[tex]d_{1}[/tex]²)/(π[tex]d_{1}[/tex]²/4)) × 100
= (0.24 × 4 ) × 100
= 0.96 × 100
= 96 %
Hope it was useful
Find the average distance in Thursday is round your answer to the nearest 10 if necessary 7,20,9,35,12,15,7,10,20,25
= (7+20+9+35+12+15+7+10+20+25) : 10
with 10 = number of values
average distance = 160 : 10 = 16
An object is thrown in the air with an initial velocity of 5 m/sec from a height of 9 m. The following equation models the height of the object in meters after t seconds. How many seconds does it take for the object to hit the ground?
Check the picture below.
[tex]~~~~~~\textit{initial velocity in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&5\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&9\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-4.9t^2+5t+9\implies \stackrel{h(t)}{0}=-4.9t^2+5t+9 \implies 4.9t^2-5t-9=0[/tex]
since we don't get any neat integer values from it hmmm let's plug that in the quadratic formula to see what we get as h(t) = 0.
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{4.9}t^2\stackrel{\stackrel{b}{\downarrow }}{-5}t\stackrel{\stackrel{c}{\downarrow }}{-9}=0 \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-5) \pm \sqrt { (-5)^2 -4(4.9)(-9)}}{2(4.9)}\implies t=\cfrac{5\pm\sqrt{25+176.4}}{9.8} \\\\\\ t=\cfrac{5\pm \sqrt{201.4}}{9.8}\implies t\approx \begin{cases} 1.96~~\checkmark\\ -0.94 \end{cases}[/tex]
notice, we do not use the negative value for "t", since the seconds cannot be less than 0.
3x+2=2x +13 divided by 3
Hope this helps
Good luck
ASAP it has to be a full answer no decimals it can be a number, fraction or mixed fraction HELP PLEASE
Write 22/35 as a percent
Answer: 628571%.
Step-by-step explanation:
what is the solution of the following equation? 2x-5+3x=35
2x - 5 + 3x = 35
simplify
5x - 5 = 35
add 5 to both sides
5x - 5 + 5 = 35 + 5
simplify
5x = 40
divide both sides by 5
5x/5 = 40/5
simplify
x = 8
At Gulfport Electronics, Randy earns a monthly salary of $1500 plus a 5% commission of x, his total monthly sales. If his March earnings total $2500, write and solve an equation that could be used to determine his total monthly sales for the month of March
Answer:
His March Earnings is $20000
Step-by-step explanation:
Given
[tex]Salary = \$1500[/tex]
[tex]Commission = 5\%\ of\ sales[/tex]
[tex]March\ Earnings = \$2500[/tex]
Required
Determine the monthly sales
Represent the monthly sales with x
The march earnings can be determined using:
[tex]March\ Earnings = Salary + Commission[/tex]
[tex]March\ Earnings = Salary + 5\%\ of\ x[/tex]
Substitute values of March Earnings and Salary
[tex]2500 = 1500 + 5\% * x[/tex]
[tex]2500 = 1500 + 0.05 * x[/tex]
[tex]2500 = 1500 + 0.05x[/tex]
Solve for 0.05x
[tex]0.05x = 2500 - 1500[/tex]
[tex]0.05x = 1000[/tex]
Solve for x
[tex]x = 1000/0.05[/tex]
[tex]x = 20000[/tex]
Hence:
His March Earnings is $20000
What critical value of t* should be used for a 98% confidence interval for the population mean based on a random sample of 25 observations?
A. t* = 2.485
B. t* = 2.492
C. t* = 2.787
D. t* = 2.797
Using a t-distribution calculator, it is found that the critical value of t* for a 98% confidence interval with 25 observations is given by:
B. t* = 2.492
How to find the critical value of the t-distribution?It is found using a calculator, with two inputs, which are given by:
The confidence level.The number of degrees of freedom, which is one less than the sample size.In this problem, we have a confidence level of 98% and 25 - 1 = 24 df, hence the critical value is of t* = 2.492, which means that option B is correct.
More can be learned about the t-distribution at https://brainly.com/question/16162795
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4. If m 1 = (10x + 42)° and m 7 = (2x + 6)º,
what is the value of x, m 1?
Answer:
Value of x = 8
(3x - 7) = (5x - 23)
-2x = -16
x = 8
Value of m 8 = 17 degrees
5(8) - 23
40 - 23 = 17
Find the area of each shaded sector. Round to the hundredths place
10. SR = 26m
Check the picture below.
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=26\\ \theta =\stackrel{180+34}{214} \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (214)(26)^2}{360}\implies A=\cfrac{18083\pi }{45} \\\\\\ A \approx 1262.43 \end{array}[/tex]
Help
This is really confusing
Step-by-step explanation:
The 53rd ball will be blue. I don't really know how to explain but I'll try.
So there are black, white and blue balls. If you look closer you'll see that the words 'black,white,blue,black, blue were repeated twice. So let's say that the first 5 letters are a set. To get the 50th color, all you have to do is 5 × 10 which is 50 and the 50th term is blue. Just add black(51st), white(52nd) and you'll get the 53rd color to be Blue.
I don't know how to do <2>.
Hope this helps!
Please mark me brainliest :)
Write and equation to represent the function.
Input(x). 1. 2. 3. 4
Output(y). 8. 19. 30. 41
Answer:
[tex]y=11x-3[/tex]
Step-by-step explanation:
Given ordered pairs:
(1, 8) (2, 19) (3, 30) (4, 41)
As the y is directly proportional to x (y values increase +11 for every +1 increase for the x-values) then the equation will be linear.
Point-slope form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point on the line)
[tex]\textsf{slope }m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Let:
[tex](x_1,y_1)=(1,8)[/tex][tex](x_1,y_2)=(2,19)[/tex][tex]\implies \textsf{slope }m=\dfrac{19-8}{2-1}=11[/tex]
Using point-slope equation with m = 11 and point (1, 8):
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\implies y-8=11(x-1)[/tex]
[tex]\implies y=11x-3[/tex]
1.2y+4.5-3.4y-6.3 pls help me
Answer:
-2.2y-1.8
Step-byStep-byStep-byStep-byStep-byStep-byStep-byStep-byStep-by
1.2y-3.4y=-2.2y
4.5-6.3=-1.8
ssoso:-2.2y-1.8
Use the elimination method to solve the system of equations. Choose the correct ordered pair.
6x+4y=32
-6x+4y=8
Answer Choices:
A) 0,8
B) 2,5
C) 1,5
D) 4,2
Answer:
B
Step-by-step explanation:
6x+4y=32
4y=8+6x
6x+8+6x=32
x=2
2×6+4y=32
12+4y=32
4y=20
y=5
Which graph correctly solves the system of equations below? y = x2 + 3x + 4 y = x2 + 2x + 1 (1 point) Select one: a. two quadratic graphs opening up. They intersect at negative 3, 4. b. two quadratic graphs opening up. They intersect at 0, 3. c. two quadratic graphs opening down. They intersect at 0, 3. d. quadratic graph opening up and quadratic graph opening down. They intersect at 1, 4 and 0, 3. Clear my choice
Answer:
the answer is b b is the answer I did this before
Lucien can buy 1 lb of Colombian coffee beans for $4.25 you can buy one pound of French roast coffee beans for $3.75 if he buys one pound mixture of the two kinds of beans for $4 how much of each kind of coffee bean does he buy
Answer:
Colombian coffee bought = 0.5 lbs
French roast coffee beans bought = 0.5 lbs
Step-by-step explanation:
Let Colombian coffee bought = [tex]x[/tex] lbs
Total weight of mixture bought = 1 lbs
Therefore, French roast coffee beans bought = (1 - [tex]x[/tex]) lbs
Price of 1 lb Colombian coffee = $4.25
Price of [tex]x[/tex] lbs of Colombian coffee = $[tex]4.25x[/tex]
Price of 1 lb French roast coffee beans = $3.75
Price of (1 - [tex]x[/tex]) lbs French roast coffee beans = $3.75(1 - [tex]x[/tex])
It is given that total money spent is $4.
As per given statement:
[tex]4.25x+3.75(1-x)=4\\\Rightarrow 0.50x=0.25\\\Rightarrow x=\bold{0.5\ lbs}[/tex]
Colombian coffee bought = 0.5 lbs
French roast coffee beans bought = 0.5 lbs
what is the complement of 37 degrees without using a protractor, sketch the two angles so that they are adjacent
Answer:
the complement of 37 degrees is 53 degrees.
Step-by-step explanation:
90-37=53
141,204 dividido entre 82
Answer:
1722
Step-by-step explanation:
Please ANSWER NOW, PLEASE HELP , for math 50 points!!!
36 (highest)POINTS PLS ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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Use the figure below to find angle PNO
Answer:
31 degrees
Step-by-step explanation:
A line has angle of 180 degrees.
So
[tex](2z+17)+(4z-23)=180\\6z-6=180\\6z=186\\z=31[/tex]
Simplify the following expression.
(8x + 4) - (2x2 + 4x - 7)
Answer:
-2x^2 + 4x + 11
Step-by-step explanation:
whats 2x2 ? do you mean 2x^2 ? if so then...
8x + 4 - 2x^2 - 4x + 7
4x + 11 - 2x^2
-2x^2 + 4x + 11
Answer:
this is the answers 2x^2+4x+11
Lola bought 6 bracelets for $7.50 and 10 rings for $13.00. At the same time, Bella bought 8 bracelets and 7 rings. What is the total price for the items Bella bought?
Answer:$51.5
Step-by-step explanation:
Need help asap pleaseeeeee
1. Brother has 12 red blocks, 10 blue blocks, and 8 yellow blocks. What is the ratio of red blocks to yellow blocks?
[tex]ratio-of-red-blocks-to-yellow-blocks = \frac{number-of-red-blocks}{number-of-yellow-blocks} =\frac{12}{8} =\frac{3}{2}[/tex]
Answer: [tex]\frac{3}{2}[/tex] or 3 : 2
Hope it helps!
Answer:
3 : 2
Step-by-step explanation:
If a number is divisible by 10, then its ones digit is 0
TRUE OR FALSE
Answer:
its true, depending on the times table.
Answer:
True
Step-by-step explanation:
This statement is always true.
round these amounts to the nearest whole dollar.3.87cedis.9.28 cedis.11.05 cedis.4.39cedis
Answer: 4.00, 9.00, 11.00, 4.00
Step-by-step explanation:
When we round, we round from the digit one smaller than the one we're rounding to. In this case, since we're rounding to the dollar, we round from the 10th place. To round, we need to know whether the number we're rounding from is smaller than, equal to, or larger than 5. If the number is smaller than 5, we round down. Larger, and we round up. If the number is equal to 5, we also round up.
An animal gained 2 pounds steadily over 10 years. What is the unit rate of pounds per year
Answer:
0.2
Step-by-step explanation:
2 divided by 10
Distribute to create an equivalent expression with the fewest symbols possible.
1/2(10x+20y+10z) =
[tex]\\ \rm\longmapsto 1/2(10x+20y+10z)[/tex]
a(b+c)=ab+ac[tex]\\ \rm\longmapsto 10x/2+20y/2+10z/2[/tex]
[tex]\\ \rm\longmapsto 5x+10y+5z[/tex]
Answer:
5x+10y+5z
Step-by-step explanation: it was on khan academy and it was right
A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing nearby casts a shadow 5 feet long, and the person is 4 feet tall, how tall are the birdhouse and the pole? how do you put this in a ratio??
Which of the following is NOT a linear function?
Answer:
x^2 + 8 = 64 is not a linear function
Step-by-step explanation:
using the process of elimination and a graphing calculator, you can see that the rest of the functions give you a linear function. therefore, the answer is x^2 + 8 = 64 is not a linear function!! i hope this helps you!! <3
The [tex]x^2 + 8 = 64[/tex] is not the liner function.
The following information regarding the linear function is:
It is the function where the graph is in the straight line. The form in the linear function should be y = a + bx.In this, there is one dependent and one independent variable.Therefore we can conclude that the [tex]x^2 + 8 = 64[/tex] is not the liner function.
Learn more about the linear function here: brainly.com/question/20286983