To find areas and circumferences of circles using similarity, we scale proportions from known circles to unknown circles. The diameter is twice the radius (d = 2r), allowing us to use formulas C = 2πr for circumference and A = πr^2 for area.
To determine the area and circumference of circles using similarity, we can scale up or down from a known circle to an unknown one. The relationships between circles of different sizes but with proportional radii allow us to use the similarity concept. For example, if a small circle has a radius that is half the radius of a larger circle, the area and circumference will also be in proportion to the squares and the linear dimensions, respectively.
The radius (r) and diameter (d) of a circle are directly related by the equation d = 2r. This means that diameter is twice the radius. Given the radius, we can determine the circumference of a circle (C = 2πr) and its area (A = πr2) easily. The role of π (approximately 3.14159) is critical as it provides the constant of proportionality in these equations.
please help means a lot will mark brainlist
Answer:
The correct one is the one that you have clicked on already.
Step-by-step explanation:
What is the product of 36‾√cis(π8) and 25‾√cis(7π6) ?
Answer:
The product of
36√cis(π/8) and 25√cis(7π/6)
is
(225√2)√[√(2 + √2) + i√(2 - √2)][√(3(-1 + i))]
Step-by-step explanation:
First note that
cis(π/8) = cos(π/8) + isin(π/8)
cis(7π/6) = cos(7π/6) + isin(7π/6)
cos(π/8) = (1/2)√(2 + √2)
sin(π/8) = (1/2)√(2 - √2)
36√cis(π/8) = (36/√2)√[√(2 + √2) + i√(2 - √2)]
cos(7π/6) = -(1/2)√3
sin(7π/6) = (1/2)√3
25√cis(7π/6) = (25/2)√3(-1 + i)
The product,
36√cis(π/8) × 25√cis(7π/6)
= (36/√2)√[√(2 + √2) + i√(2 - √2)] × (25/2)√3(-1 + i)
= (225√2)√[√(2 + √2) + i√(2 - √2)][√(3(-1 + i))]
Answer:
32.86 cis ( 4.06 )
Step-by-step explanation:
TTT
Stacey bought a box of cookies that match the dimensions of the solid below. How many square units of cardboard were used to construct the box? If your solution is not a whole number round to the nearest tenth.
Final answer:
To calculate the number of square units of cardboard used to construct Stacey's cookie box, we need the box's dimensions to find the surface area. If the box were similar to a 9x9x4 inch doughnut box mentioned in the examples, the calculation would result in 306 square inches. Without the exact dimensions, we use the formula for surface area and round to the nearest tenth if necessary.
Explanation:
To determine how many square units of cardboard were used to construct Stacey's cookie box, we need to calculate the surface area of the box. However, the question does not provide the exact dimensions of the solid, so let's assume that we have the length, width, and height of the box. Then, the surface area of the box can be calculated as twice the sum of the length times width, length times height, and width times height (2(lw + lh + wh)).
As an example, if the box had dimensions of length (l), width (w), and height (h), and let's say that l=9 inches, w=9 inches, and h=4 inches, similar to the doughnut box mentioned in the provided information, the surface area would be:
Surface area = 2(lw + lh + wh) = 2(9*9 + 9*4 + 9*4) = 2(81 + 36 + 36) = 2*153 = 306 square inches
Now, if Stacey's cookie box has different dimensions, you would plug those values into the surface area formula instead. If the calculated surface area is not a whole number, the question advises to round to the nearest tenth.
i think its b but please help!! if you do help me with the other ones plz im lowkey slow
Answer: C
Step-by-step explanation:
4 * 2= 8
4 *2 = 8
6 * 1 = 6/2 = 3
6 *1 = 6/2 =3
6* 2 = 12
12 + 3 +3 +8 +8 = 34
sort -3,-2.75,0,1/2,1,2 7/8 from least to greatest using ABSOLUTE VALUE. i do mark people brainliest !
Answer:
0 1/2 7/8 1 2 -2.75 -3
Explanation:
(1. Absolute value is the distance a number is from zero. It can only be positive. For example, the absolute value of -8 is 8 because it is 8 units away from zero. More examples: The absolute value of 5 is 5 because it is 5 units away from zero. The absolute value of -6.75 is 6.75 because it is 6.75 units away from zero.
(2. Because we know this, we can put the order as 0, 1/2, 7/8, 1, 2, -2.75, and -3. -3 is 3 units away from zero which is more than the absolute value of -2.75 which is 2.75 units away from zero.
(3. The absolute value of a number is basically just making the number positive. If the number is already positive then the absolute value of that number is that number.
Hope you understand!
A radioactive element has a half-life of 5,750 years. Archeologists determined a relic had lost 25.5% of this element at the time it was found. How old is the relic? (Two steps)
Answer:
2441.95 years
Step-by-step explanation:
We can model this exponencial function as:
P = Po * (1+r)^(t/n)
Where P is the final value, Po is the inicial value, r is the rate, t is the time and n is the period of half-life.
In this case, we have that P/Po = 100% - 25.5% = 74.5% = 0.745, r = -0.5 and n = 5750, so we have that:
0.745 = (1 - 0.5)^(t/5750)
Step 1: log in both sides:
log(0.745) = (t/5750) * log(0.5)
Step 2: isolate t
t = 5750*log(0.745)/log(0.5) = 2441.95 years
Find the X-intercept of the function represented by the graph?
Answer:
I would think 28
I may be wrong but y'know
Why 28?
well it's going to touch a box every 8 boxes and 28 is the only one with 28
I hope this is right sorry if it's not.
a sound wave has a frequency of 627 hz and a wavelength of 3.25 m. what is the speed of the wave?
Answer:
2037.75m/s
Step-by-step explanation:
To calculate the speed of a wave, you need to multiply the wavelength by the frequency. In this case, 627*3.25=2037.75m/s. Hope this helps!
The speed of a sound wave with a frequency of 627 hz and a wavelength of 3.25 m is calculated using the formula v = f λ, where v is the speed, f is the frequency, and λ is the wavelength. Multiplying the given frequency and wavelength gives a speed of 2037.75 m/s for the sound wave.
Explanation:The speed of a sound wave is calculated by multiplying its frequency by its wavelength using the formula v = f λ, where v is the speed of the wave, f is the frequency, and λ (lambda) is the wavelength.
Given that the frequency of the sound wave is 627 hz and the wavelength is 3.25 m, we can substitute these values into the formula to find the speed:
v = 627 hz × 3.25 m
Now, let's perform the multiplication to solve for v:
v = 2037.75 m/s
Therefore, the speed of the sound wave is 2037.75 meters per second.
(7 * 10-5) (5 x 10-) =
x 10
Have you learned PEMDAS? (Parenthesis, exponents, multiplication, division, addition, subtraction). That is what I am going to do here.
The first parenthesis, let's solve. 7*10=70-5=65
The second parentheisis: I am assuming the negative sign is a typo, and this answer will be off if it is not. Sorry. 5*10=50
65*50=3250
I hope this helps, and let me know if you need further assistance.
The radius of a circle is 1. What is the length of an arc that subtends an angle of a radians?
Answer:
1 unit
Step-by-step explanation:
We have the following formula to find the length of an arc that subtends an angle of radians is:
S = rΘ where:
r is the radiusΘ is the subtended central angle given in radiansGiven the information in this question, we have:
r = 1 unitΘ = a radian=> the length of an arc in this question is:
1*1 = 1 unit
Hope it will find you well
Final answer:
The length of an arc in a circle with radius 1 that subtends an angle of a radians is a units.
Explanation:
The student's question asks for the length of an arc in a circle with a radius of 1 that subtends an angle of a radians. The formula to calculate the arc length (s) is derived from the fact that the circumference of a circle (S) with radius r is S = 2πr. A full revolution around a circle results in an angular rotation of θ = 2π radians.
The arc length for an angle a radians in a circle with radius r is therefore s = r × a. Since the radius of the circle in this question is 1, the arc length is simply equal to the angle a in radians. Thus, the length of the arc is a units.
The number of branches on a tree demonstrates the Fibonacci sequence. How many branches would there be on the next two levels of this tree?
Answer:
In the next two levels the tree we have 8 branches
Step-by-step explanation:
In mathematics, the Fibonacci numbers, commonly denoted Fₙ, form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones.
The Fibonacci numbers are given as 1,2, 3,5,8,13........n
The Second level according to the Fibonacci sequence indicates that the tree will have 8 branches
Answer:
21,34
Step-by-step explanation:
A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 11 feet. The width of the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram: rectangle with length of x ft and width of x minus 4 ft, right triangle inside labeled stage with height of x minus 4 ft and base of 8 ft, rectangle inside labeled closet with length of 7 ft and width of 3 ft, the rest of the rectangle is labeled floor Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A). A = x(x − 4) − (8)(x − 4) − 3(7) A = x(x − 4) + (8)(x − 4) + 3(7) A = x(x − 4) + 0.5(8)(x − 4) + 3(7) A = x(x − 4) − 0.5(8)(x − 4) − 3(7)
Answer:
A = x(x − 4) − 0.5(8)(x − 4) − 3(7)
Step-by-step explanation:
x = length, making the width (x-4)
The stage closet will be (x-4)(8)(1/2)
The rectangle is 7(3)
That makes the painted area x(x-4) - 4(x-4)
So...
A = x(x − 4) − 0.5(8)(x − 4) − 3(7)
The printed area of the theater room is x(x − 4) − 0.5(8)(x − 4) − 3(7). Then the correct option is D.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 11 feet.
The width of the floor is 4 feet less than the length.
It will have a stage and a closet, and the remaining area of the floor will be painted.
Let, the length be x
Then the width will be (x - 4)
Then the stage closest will be
[tex]\dfrac{8(x- 4)}{2} \Rightarrow 4(x-4)[/tex]
The rectangle is 7(3)
The painted area will be given as
[tex]\rm x(x-4) - 4 (x-4)[/tex]
Then we have
[tex]\rm area = x(x - 4)- 0.5(8)(x - 4) - 3(7)[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
Explain how you would estimate the area of the figure below.
(Each square represents 1 square foot)
Answer:
29
Step-by-step explanation:
1/2+1+1+1+1/2=4
1/2+1+1+1+1+1/2=5
1/2+1+1+1+1+1/2=5
1/2+1+1+1+1+1+1+1/2=7
1+1+1+1+1+1+1+1=8
8+7+5+5+4=29
15+10+4=29
25+4=29
29=29
Express 900 as a product of its prime factors in index form.
Write the prime factors in ascending order.
Answer:
2^2*4*5^2*9=900
Step-by-step explanation:
900= 100*9
100=20*5
20=5*4
4=2*2
2*2*4*5*5*9=900=
2^2*4*5^2*9=900
Hope this helps!
Answer:
2×2×3×3×5×5
2²×3²×5²
Step-by-step explanation:
Hope this helped (:
solve 5y(y-4)=0 please hurry!
Answer:
y = 4
y = 0
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
5y • (y - 4) = 0
Step 2 :
Theory - Roots of a product :
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation :
2.2 Solve : 5y = 0
Divide both sides of the equation by 5:
y = 0
Solving a Single Variable Equation :
2.3 Solve : y-4 = 0
Add 4 to both sides of the equation :
y = 4
Hope this helps
Answer:
Your question that I have solved:
y= 0,4
Step-by-step explanation:
Name the center of Circle R with an ordered pair. Type an ordered pair, including parentheses, into the space provided.
Do not type spaces in your answer.
NEXT QUESTION
ASK FOR HELP
TURN IT IN
Answer:
(0,0)
Step-by-step explanation:
i will mark brainliesttt!
Answer: 75 degrees
Step-by-step explanation: supplementary means 180 so you do 180-105 which is 75
What is the area of this tile?
Is it in. or in2
Answer:
A = 4 in^2
Step-by-step explanation:
The area is given by
A = l*w
A = 1in * 4 in
A = 4 in^2
a wall in his bedroom and finds that it is 3 meters tall. How many centimeters is this?
Answer:
300 cm
Step-by-step explanation:
1 meter is 100 centimetres, so 3 meters would result in 3 x 100, which equals 300.
A watch company is developing packaging for its new watch. The designer uses pentagons with a base area of 20 in2 and rectangles with a length of 10 in to create a prototype for the new package. What is the volume of the prototype?
Answer:
The volume of the prototype is 200 cubic inches.
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of the pentagonal prism:
Volume (V)= base area x height of the rectangular face
Replacing with the values given and solving for V (volume)
V = 20 in2 x 10 in = 200 cubic inches
The volume of the prototype is 200 cubic inches.
Feel free to ask for more if needed or if you did not understand something.
The volume of the prototype is 200 cubic inches.
Calculation of the volume:Since The designer uses pentagons with a base area of 20 in2 and rectangles with a length of 10 in
So, here the volume is
= 20(10)
= 200 cubic inches
Therefore, The volume of the prototype is 200 cubic inches.
Learn more about volume here: https://brainly.com/question/11826100
1.17 − 0.07a + (−3.92a) What is this ????
Answer: 17-3.99a
Step-by-step explanation:
Remove parentheses.
17- 0.07a- 3.92a17−0.07a− 3.92a
Collect like terms.
17+(−0.07a−3.92a)
Simplify.
17−3.99a
Find the area of a regular decagon whose apothem is 14 mm.
The area of a regular decagon whose apothem is 14 mm is 560 square milli meter
What is Polygon?A polygon is a plane figure made up of line segments connected to form a closed polygonal chain
We have to find the area of a regular decagon whose apothem is 14 mm and side length of 8m
Area of decagon = 1/2×Apothem×perimeter
Perimeter =Number of sides ×side length
=10×8
=80
Area of decagon = 1/2×14×80
=7×80
= 560 square mm
Hence, the area of a regular decagon whose apothem is 14 mm is 560 square milli meter
To learn more on Polygon click:
https://brainly.com/question/24464711
#SPJ2
The area of a regular decagon is approximately 605.5 mm².
Area of a regular decagon :
Area = (1/2) × Perimeter × Apothem
If we denote the side length by 's,' we can find it using the relationship between the number of sides, the side length, and the apothem:
The number of sides (n) is 10 because it is a decagon.
The formula for the side length of a regular polygon given its apothem (a) is:
[tex]s = 2a \times tan(\pi/n).[/tex]
Substitute n = 10 and a = 14 mm into the formula:
s = [tex]2 * 4 mm \times tan(\pi/10)[/tex]
≈ 8.65 mm.
Then, the perimeter (P) of the decagon is:
[tex]P = n \times s[/tex]
= 10 *8.65 mm
≈ 86.5 mm.
Now, use the area formula:
Area = (1/2) × P × a
= (1/2) × 86.5 mm × 14 mm
≈ 605.5 mm².
So, the area of the regular decagon is approximately 605.5 mm².
an Exothermic reaction _____ Energy
Answer:
An exothermic reaction releases energy
Step-by-step explanation:
Answer:
releases
Step-by-step explanation:
Answer for Founder's Education/Educere
how many ways can erik mina and roger stand in line?
Answer:
6
There are three people, so 3x2x1 is 6
Erik could stand in all three spots, Mina could stand in two of the available spots, and then there's only one left for Roger
Even if you flip the characters around, it's still 6
If it helps to draw it so you can visually see it, that would be a great idea
:)
find the value of x.
Answer:
92
Step-by-step explanation:
The two angles add to make a straight line, so their sum is 180
88+x = 180
Subtract 88 from each side
88+x-88 = 180-88
x =92
Answer:
92
Step-by-step explanation:
Please answer correctly !! Will mark brainliest !!!
Answer:
no, because in a function, the input is paired or has only one output, but here 20 is paired to both 40 and 42, which doesn't make it a function.
Find the volume
12 poir
2.2 cm
Ross drives 240 miles in 4 hours. If Ross continues to drive at the same rate, how many miles can he drive in 8 hours?
A. 464
B. 480
C. 180
D. 960
Answer:
B
Step-by-step explanation:
240+240=480
yes
Answer:
B. 480
Step-by-step explanation:
You can find the answer to this by finding the unit rate of Ross's travel. 240:4=60:1, meaning that he drives at 60 miles per hour. Multiplying this by 8 hours, you get 480 miles. Hope this helps!
A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.
What is the probability of landing on an even number? (Write your final answer as a percentage.)
P(event) =
Can someone answer this question?
Answer:
You're correct, it's 7.5!
Step-by-step explanation:
15% is still 15/100. So, if you to divide 100 by 2 to convert it to 50, then you divide 15 by 2 as well! And the answer to that is 7.5.