Answer:
8d : 8r = Ratio = 1 : 4
Step-by-step explanation:
Area of 8cm diameter = 4cm radius = formula pi x 4^2
= 50.2654825
= 50.27 m^2 rounded to 2dp as meters
Area of 8cm radius = formula pi x 8^2
=201.06193
= 201.06,^2 rounded to 2dp as meters
201.06193 / 50.2654825 = 4
4 x 50.265 = 201.061
= 1 : 4
8d : 8r = Ratio = 1 : 4
The ratio of the area of circle with an 8m diameter to a circle with an 8m radius is 1:4.
What is ratio?A term that is used to compare two or more numbers and to indicate how big or small a quantity is when compared to another is called ratio.
What is area of circle?Area of a circle is the region covered or enclosed within its boundary.
What is the formula for the area of circle?The formula for the area of circle is give by
[tex]Area = \pi r^{2}[/tex]
Where,
r is the radius of the circle
According to the given question.
We have two circle.
One with the diameter 8m.
⇒ Radius, [tex]r_{1} = \frac{8}{2} =4m[/tex]
Therefore,
the area of circle with 4m radius
= [tex](4)^{2} \pi[/tex]
[tex]=16\pi[/tex]
Also, another circle with the radius 8m.
Therefore,
The area of the circle with the radius 8m
[tex]\pi (8)^{2} \\= 64\pi[/tex]
So,
the ratio of the area of circle with an 8m diameter to a circle with an 8m radius = [tex]\frac{16\pi }{64\pi } =\frac{1}{4}[/tex]
Hence, the ratio of the area of circle with an 8m diameter to a circle with an 8m radius is 1:4.
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is thre a proportional relationship btween the perimeter and the side length of an equilateral triangle?
Answer:
Similar triangles are in proportion. Therefore equilateral triangle are in proportion.
Step-by-step explanation:
helpp me maths giving 10 points
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄
(a) Linear Equation in one variable :⇒ m - 5 = 6
⇒ 3t = 1 - t
(b) Solve :(i) 4x - 7 = 1
⇒ 4x = 1 + 7
⇒ 4x = 8
⇒ x = 8/4
⇒ x = 2
(ii) n/2 + 1 = 6
⇒ n/2 = 6 - 1
⇒ n/2 = 5
⇒ n = 5 × 2
⇒ n = 10
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Answer:
since there are 3 sides the answer will be infinite
3) What is the ratio of days to months in a year?
6 divided by 1 5/16
Answer:
15/8 o 17/8 o 1.875
Step-by-step explanation:
just because
Can anyone answer this for me ?
Answer:86
Step-by-step explanation:
First, you add 102 and 86 because they are already given values
Next, you do 360-188 because a parallelogram always equals to 360 degrees
You should get 172
Then you do 172/2 because 2 angles are missing and you get 86
For the third week of February, Betty Robinson worked 46 hours. Betty earns $17.50 an hour. Her employer pays overtime for all hours worked in excess of 40 hours per week and pays 1.5 times the hourly rate for overtime hours. Calculate for the third week of February (round your responses to the nearest cent if necessary):
1. Regular pay amount:
2. Overtime pay:
3. Gross pay:
Answer:
1. 700
2. $157.50
3. $857.50
Step-by-step explanation:
Regular pay is calculated by taking 40 hours x $17.50 to get $700.
Overtime is calculated by taking 6 hours x 17.50 x 1.50 to get $157.50
Gross pay would be adding these two amounts together.
If the length of the above rectangle is 15 "wooches", determine the width of the rectangle in "wooches
Answer:
This question is impossible to answer but I can tell you how to solve it. Just divided the area by 15.
Step-by-step explanation:
Nina works in as an office receptionist for $15.00 per hour. If her pay is increased to $18.00, then what is her percent increase in pay?
*If you solve this for me can you also put how you got to the answer? just so I can see how you did it :]
Answer:
20%
Step-by-step explanation:
the number is increased by 3 so you put 3 on 15 and 3/15=1/5=2/10=20/100
The percentage increase in the pay of Nina is 20%.
How to calculate percentage increase?To calculate the percentage increase work out the difference (reduction) between the two figures you are comparing before calculating a percentage drop. Then, increase the result by 100 after dividing the decrease by the initial number.
% Increase = Increase / Original Number × 100
Nina got the initial pay as $15.00 per hour.
After the increment, her pay increased to $18.00.
The total increment = final pay - initial pay
= 18.00 - 15.00
= 3.00
Now, the percentage increase = (3/15)×100
= 20
Therefore, there is the 20% increment for the pay of Nina.
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Will give brainliest and 5 starsPLEASE HELP
Determine whether the lines AB and CD would be parallel, perpendicular, or neither?
A(-5,3) and B(-5, 7)
What is the slope of AB?
C(1, 9) and D(-10, 9)
What is the slope of CD?
What are the lines? (parallel, perpendicular or neither)
Answer:
The slope of AB is undefined; the slope of CD is 0; The lines are perpendicular.
Step-by-step explanation:
Line AB would form a vertical line. Slope is Δy/Δx. To go from 3 to 7 (the y-coordinates) you need to go up 4 units. So we would then have Δy/Δx = 4/Δx. To go from -5 to -5 (the x-coordinates) we have to go left or right 0 units. So, Δy/Δx = 4/Δx = 4/0. Anything divided by 0 is undefined. Remember: vertical lines always have an undefined slope.
Line CD would form a horizontal line. To go from 9 to 9 (the y-coordinates) you need to go up or down 0 units. So, Δy/Δx = 0/Δx. To go from 1 to -10 (the x-coordinates) you need to go down 11 units. So Δy/Δx = 0/Δx = 0/1. 0 divided by anything is 0. Remember: horizontal lines always have a slope of 0.
If you picture a horizontal line and a vertical line intersecting, they would both form a right angle when they intersect. By definition, this would make both lines perpendicular.
help with this question
Answer:
A and B
Step-by-step explanation:
F(x) = (x - 1)(x + 6) To find the zeros of f(x) set each factor = 0 and solve for x.
X - 1 =0 x + 6 = 0
x = 1; x = - 6
Select ALL the correct answers.
Which of the following statements are true about the equation below? x^2-6x+2=0
Pls help rn need finished within next 10 mins have to get right I’ll give 100 points
Answer:
100 points cool the answer is 30
in need of help, super confused
Answer: (a.) 8*13= 104 miles (b.) 8/144= 18 days
Step-by-step explanation: 8 miles a day = 8*days
Answer:
a. 104 miles
b. 8 days
Step-by-step explanation:
the funtion evaluated on d = 13 give 104 miles
Substitute the value of the slope and the values of x and y using the coordinates of the given point, then determine the value of b. Using the above technique, find the equation of the line containing the points (-8,13) and (4, -2). The equation of the line is (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
I just need the right answer like you don’t have to explain it or anything
Answer:
D.) (x-8)^2
Step-by-step explanation:
Factor:
What can be multiplied to get 64 and added to get negative 16?
(x-8)(x-8)
(x-8)^2
What is the equation of the line in slope intercept form?
Y = __x + __
Fill in the blanks
Answer:
Y = mx + b
Step-by-step explanation:
m represents the slope of the line and b represents the y-intercept.
Point A (-3,7) is translated 4 units to the left and 5 units up. What is the image of A'?
Answer:
A' has coordinates (-7, 12).
Step-by-step explanation:
PLEASE HELP I WILL RATE 5 STARS AND MARK BRAINLIEST
The final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that represents the situation?
It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
It is linear because the function is continuous.
It is nonlinear because the final cost is determined by multiplying each price tag by 0.75.
It is nonlinear because the price tag and final cost columns do not have the same common difference.
Answer:
It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant
Answer:
It's A. Edge 2022
Step-by-step explanation:
So basically, you just multiply 10, 20, 30, and 40 by 0.75
So now the numbers on your table are 7.5, 15, 22.5, and 30.
7.5 + 7.5 is 15, 15 + 7.5 is 22.5, and 22.5 + 7.5 is 30, so it's linear.
You want to get new shoes they are 30.56 how much will the shoes be with 8% tax?
Answer:
Amount of sales tax ≈ $2.44 dollars;
Price with sales tax ≈ $33 dollars;
Step-by-step explanation:
1. Calculate the 'Amount of sales tax':
Formula:
Amount of sales tax =
Sales tax rate × Price without sales tax
Calculation:
Amount of sales tax =
8% × 30.56 =
8/100 × 30.56 =
8 ÷ 100 × 30.56 =
0.08 × 30.56 =
2.4448 ≈
2.44
(Rounded to a maximum of 2 decimals)
2. Calculate the 'Price with sales tax':
Formula:
Price with sales tax =
Price without sales tax + Amount of sales tax
Calculation:
Price with sales tax =
30.56 + 2.4448 =
33.0048 ≈
33
(Rounded to a maximum of 2 decimals)
if i have an 84 in a class, and i get a 64 on a test, what is my grade?
Answer:
Depending on how many grades you have in the class already and how much the test is worth, the score will go down. It will not go below 64, but it will not be above 84.
plz help will mark you as brainliest
\frac{\left(9^2\cdot 9\cdot 9^5\right)}{9^9}
simplify 9² x 9 to 9³
9³ x 9⁵/9⁹
use product rule: x‸ax‸b=x‸a+b
9⁸/9⁹
use quotient rule: x‸a/x‸=x‸a-b
9⁸⁻⁹
simplify 8-9 to -1
9⁻¹
use negative power rule: x‸-a=1/x‸a
1/9
can someone pls help me with this thanks
Answer:
-26.55
Step-by-step explanation:
If I'm wrong blame it one me I need it.
For the first week of March, Kim Bell
Worked 52.50 hours. Kim earns $10.10 an hour. Her employer pays overtime for all hours worked in excess of 40 hours per week and pays 1.5 times the hourly rate for overtime hours.
Calculate the following for the first week of March (round your responses to the nearest cent if necessary):
1. Regular pay amount:
2. Overtime pay:
3. Gross pay:
Can anyone help me please?
will mark as brainliest plz help
The value of (17+ V2)(17– V2) is
Using formula a^2- b^2 = (a-b)(a+b)
[tex](17 + v ^{2} )(17 - {v}^{2} ) \\ = (17)^{2} - {(v ^{2} )}^{2} \\ = 289 - {v}^{4} [/tex]
Formula :[tex]\large \boldsymbol {\rm a^4-b^4=(a^2-b^2)(a^2+b^2)}[/tex] Solution:
[tex]\large \boldsymbol {} \rm (17+V^2)(17-V^2)=17^2-V^4=\boxed{\rm 289-V^4}[/tex]
[tex]\sqrt{89[/tex] =____
You can verify that your answer is a solution to the original equation by checking if Testing what what testing is a true statement. Which property of equality allows you to do this? A reflexive B transitive C substitution
Answer:
substitution is distributive for letters
ie) when we work out for 2x + 5 and 3x -4
we can set = to each other distribute to find x then plug in.
plug in means substitute.
Step-by-step explanation:
transitive is distributive for values for same coefficients in problem solving like Pythagoras a + b = c. but that is not equation checking unless equation replaces it. Answer is substitution for distributive letters.
A new club sent out 288 coupons to boost sales for next year's memberships. They provided 5 times as many to potential members than to existing members. How many coupons did they send to existing members?
A.
6
B.
5
C.
53
D.
48
Answer:
D. 48
Step-by-step explanation:
We don't know the numbers of coupons sent to existing members and to potential members, but we know a relationship between the number.
They sent 5 times as many coupons to potential members as they did to existing members.
Let x = number of coupons sent to existing members.
Then 5x = number of coupons sent to potential members.
The total number of coupons sent was x + 5x = 6x
The total number of coupons sent was 288.
Therefore, 6x must equal 288 giving us an equation with a single variable.
6x = 288
x = 48
Answer: 48
Solve
x2 + x - 56 = 0
The answer would be 2x1=x so x would be 2
Step-by-step explanation:
Answer:
x = 7, - 8
Step-by-step explanation:
x^2 + x - 56 = 0
x^2 + 8x - 7x - 56 = 0
x ( x + 8 ) - 7 ( x + 8 ) = 0
( x - 7 ) ( x + 8 ) = 0
x - 7 = 0
x = 7
x + 8 = 0
x = - 8