Answer:
A circle is always similar to another circle, because we can always map one onto the other using only dilations and rigid transformations.
Put another way: we can stretch or compress any circle, and move it to another location, so that it matches up perfectly with any other circle. You can use similar triangles to help with the proof of this if you wanted. Right triangles might be the easiest to work with.
What is the percentage of 360grams of 6kg
360 grms of 6kg
answer,
first convert 6kg into grms.
6kg = 6000grms.
now,
360 grms of 6kg= (360/6000)×100•/•
= 6 •/•
Find the product using suitable property: a.46*102 b.55*1004
Answer:
please
Step-by-step explanation:
follow me
please
please
please
If two natural numbers are n and (n+3) prove that the differences of their square is an even numbers
Answer and explanation:
Given two natural numbers n and n+3, we prove that the difference or their squares is even thus:
(n+3)²-(n)²= (n+3)(n+3)-(n)²
=n²+3n+3n+9-n²
=6n+9
Since the value of the difference of square of the natural numbers n and n+3 is in the form 6n+9, the difference is not an even number.
Which of the following statements is true of the function ? Question 2 options: A) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x right by 3 units and downward by 5 units. B) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 3 units and downward by 5 units. C) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x right by 3 units and downward by 5 units. D) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 5 units and downward by 3 units.
Transformations are operators that can act on functions, modifying them in different ways. In this particular problem, we see the translations.
The correct option is B:
g(x) can be graphed by translating the basic rational function ƒ(x)= 1∕x left by 3 units and downward by 5 units.
Let's describe the transformations:
Horizontal translation:
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the shift is to the left.
If N is negative, the shift is to the right
Vertical translation:
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive, the shift is upwards.
If N is negative, the shift is downwards.
Now that we know this, let's see the problem.
We have:
[tex]g(x) = \frac{1}{x + 3} - 5[/tex]
So, the original function is:
[tex]f(x) = \frac{1}{x}[/tex]
Now from f(x) we can apply translations to create g(x).
If first, we apply a translation of 3 units to the left, we get:
[tex]g(x) = f(x + 3) = \frac{1}{x + 3}[/tex]
If now we apply a translation of 5 units downwards, we get:
[tex]g(x) = f(x + 3) - 5 = \frac{1}{x + 3} - 5[/tex]
So we can conclude that the correct option is B:
g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 3 units and downward by 5 units.
If you want to learn more about translations, you can read:
https://brainly.com/question/12463306
answer choices:
A. 32%
B. 46%
C. 24%
D. 11%
Which algebraic expression is equivalent to the expression below ?
7 ( X — 1 ) + 15 ( X + 9 )
= 7 X — 7 + 15 X + 135
= 22 X + 135 — 7
= 22 X — 128 ( Ans )
7 ( X – 1 ) + 15 ( X + 9 )
= 7X – 7 + 15X + 135
= 7X + 15X + 135 – 7
= 22X + 128 ( Answer )
AHHHHHHHHHHHH I HATE THIS PLS HELP ME
Answer:
y = 2/3x - 13/3
Step-by-step explanation:
Implying the x and y coordinates, you get this.
Find the volume of the cylinder please
Answer:
216
Step-by-step explanation:
π=3
r=3
h=8
so,
πr²h
= 3×3²×8
= 216
Answered by GAUTHMATH
Tìm hai số có tổng là 177. Nếu bớt số thứ nhất đi 17 đơn vị và thêm vào số thứ hai 25 đơn vị thì số thứ nhất bằng 2/3 số thứ 2
Trả lời:
86 và 91
Giải thích từng bước:
Cho hai số là x và y. Nếu tổng của chúng là 177, thì;
x + y = 177 ... 1
Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17
Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25
Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:
x-17 = 2/3 (y + 25) .... 2
Từ 1, x = 177-y ... 3
Thay thế 3 thành 2
177-y-17 = 2/3 (y + 25)
160-y = 2/3 (y + 25)
3 (160-y) = 2 (y + 25)
480-3y = 2y + 50
-3y-2y = 50-480
-5y = -430
y = 430/5
y = 86
Vì x = 177-y
x = 177-86
x = 91
Do đó hai số là 86 và 91
Draw a line through the origin that has a slope of 1/2
Step-by-step explanation:
Slope = rise/run = 1/2
You need to plot these two points = (1,0) and (3,1) and make a line paas through
Answer by Gauthmath
Express 4.9 (bar only on 9)in the form of p/q
Answer:
4/9 is the answer for this question
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = 4.999.... ---------(I)
After decimal point only one digit is repeating. So multiply both sides by 10
10x = 49.999.....(II)
subtract (I) from (II)
10x = 49.999...
x = 4.999.... {subtract}
9x = 45
x = 45/9
x = 5/1
Two similar polygons have areas of 4 square inches and 64 square inches.
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
Answer:
4
Step-by-step explanation:
The ratio of the area of similar figures is the ratio between corresponding sides squared. This means that 64/4 or 16 is the square of the ratio of corresponding sides. By taking the square root of 16, we get that ratio is 4.
What is the answer to the question 3x+5x
Answer:
8x
Step-by-step explanation:
=3x+5x
=8x
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!!
A oil company has a large tank that holds the oil before it is distributed. If it costs $3.20 per cubic meter for oil, how much money would it cost to fill the entire tank?
A. $65,280
B. $67,200
C. $68,000
D. 5,440
Answer:
Option A, $65,280Step-by-step explanation:The volume of the tank is,12×20×15+40×(50-15)×12= 3600+16800=20400 cubic metersFor each cubic meter, ... More
PLEASE HELP ITS URGENT!! PLEASE
1.) you are looking at your power bill for the month, you pay 12 cent per kilowatt hour. Running a 60 watt lightbulb for one hour is .0 6 KWH, if you leave a light on all the time that has 3 lightbulbs in it how much would that cost a 30 day month
2.) you were looking at your power bill for the month you pay .11 per kilowatt. Your power bill came out to $80.48 how many KWH of energy were using your house this month
3.) you plan to cut the board into three pieces to repair part of a railing. You are going to cut the two ends of the board into two equal pieces that are 2.6 feet long if the remaining piece needs to be 0.86 times longer than each of the first two cats what length boards did you buy round to the nearest tenth
1. Electrical energy consumption is measured at kilowatt-hour (KWh). Thus the cost of energy consumed for the month is $31.104.
2. The amount of energy used in the house for the month is 731.634 KWh.
3. The length of the board equals the sum of each length of the pieces. The length of the board to buy is 8.70 feet.
1. The rate of consumption of energy is measured in kilowatt-hour.
In the given question,
12 cent is paid per kilowatt-hour.
60 watts of light for 1 hour = 0.06 KWh
3 light bulbs of 60 Watts each for 1 hour = 3 x 0.06
= 0.18 KWh
But,
30 days = 30 x 24 hours
= 1440 hours
The total energy consumed for the month = 1440 x 0.18
= 259.20 KWh
The total cost for the month = 0.12 x 259.20
= $31.104
Thus, the total cost for the month is $31.104.
2. Charge per kilowatt-hour = $0.11
Total power bill = $80.48
So that,
Total cost on bill = amount charge per kilowatt x total energy consumed in KWh
Which implies;
$80.48 = $0.11 x total energy consumed in KWh
total energy consumed = [tex]\frac{80.48}{0.11}[/tex]
= 731.634 KWh
Therefore, the amount of energy used in the house for the month is 731.634 KWh.
3. Each length of the two end pieces = 2.6 feet each
Given that the remaining piece needs to be 0.86 times longer than each of the first two. Then;
the length of the remaining piece = 2.6 + 0.86
= 3.46
The length of the remaining piece = 3.46 feet
The length of the board to buy = 2.6 + 2.6 + 3.46
= 8.66
Thus, the length of the board to buy is 8.70 feet.
Related link: 1, 2. https://brainly.com/question/13988193
3. https://brainly.com/question/16046083
What is the value of |6x| - |- 2y| if x = - 3 and y= 5?
Answer:
8
Step-by-step explanation:
|6x| - |- 2y|
Let x = -3 and y = 5
|6*-3| - |- 2*5|
|-18| - |-10|
Taking the absolute values
18 - 10
8
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The median of the upper half of the data set is the _____________.
A. First quartile
B. Second quartile
C. Third quartile
D. Fourth quartile
Answer:
the answer is A
I think so
The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a formula for determining the total population after a period of t years.
Question 4 options:
A)
A = (45,000)e–0.02t
B)
A = 45,000 + e–0.02t
C)
A = (45,000)e0.02t
D)
A = 45,000 + e0.02t
Answer:
Step-by-step explanation:
The general form of this equation is
[tex]A=Pe^{rt}[/tex] where P is the initial population, e is Euler's number (a constant), r is the rate of decay, and t is the time in years.
Therefore, filling in:
[tex]A=45000e^{-.02t[/tex]
Number 14 please and thank you so much
Answer:
0.13
Step-by-step explanation:
N(s)=310+276+155+445
=1186
P=155:1186
=0.13
Find the equation of a line perpendicular to y = (75)x - 1 and has a y-
intercept of 1.
Answer:
6y = -5x + 6
y = -5/6 x + 1
Step-by-step explanation:
y = -5/6 x + b
1 = b
the item to the trashcan. Click the trashcan to clear all your answers,
Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.
hypotenuse
50
S
h
O
r
t
30
long
Short = 2
Long -
00
3
7
12345678910123 + = xylab
NEXTLOUESTION
ASK FORHISP
TURNITIN
Answer:
long is rt3
short is 1
hypotenuse is 2
Step-by-step explanation:
in a 30, 60, 90 triangle, if the short side is 'x' then the long side is 'x rt3' and the hypotenuse is '2x'
help me pls I need help its Pythagorean theorem I’m failing pls
Answer:
22.2 m.
Step-by-step explanation:
They walk in a right triangle.
First they walk 7 then 6 m = 13 m.
We calculate the distance of the diagonal using Pythagoras:
x^2 = 6^2 + 7^2 = 85
x = √85
= 9.2 m. yo nearest 1/10.
Answer is 13 + 9.2
= 22.2 m.
does anyone know this?. can u help me? lol
Answer:
Step-by-step explanation:
Answer:
First question: answer is d. 4) -i
[tex] {i}^{16} + {i}^{6} - 2 {i}^{5} + {i}^{13} \\ = ( {i}^{2} ) {}^{8} + ( {i}^{2} ) {}^{3} - 2( {i}^{2} )( {i}^{2})(i) + ( {i}^{5} ) {}^{ \frac{13}{5} } \\ = {( - 1)}^{8} + {( - 1)}^{3} - 2(1i) + ( - 1) {}^{ \frac{13}{2} } \\ = 1 - 1 - 2i + i \\ = - i[/tex]
Second question: answer is d. 4) 0
[tex] = {i}^{99} - {i}^{3} \\ =( {i}^{3} )( {i}^{96} ) - {i}^{3} \\ = {i}^{3} ( ({i {}^{2} )}^{48} - 1) \\ = - i(1 - 1) \\ = 0[/tex]
Help anyone can help me do this question,I will mark brainlest.
Answer:
but what to do in do I have to find the area of the particular Region or a length of that
This polygon is a Quadrilateral (4 sided figure). Based on the interior angle sum, find the value of x.
Answer:
Step-by-step explanation:
The total sum of interior angles of a quadilateral is 360°
please click thanks and mark brainliest if you like :)
HELP ILL GIVE BRAINLIEST
Answer:
C. 4
Step-by-step explanation:
The graph seems to start at y=4, and decreases.
What is the difference quotient for the function f(x) = 8/ 4x + 1
Answer:
Last option (counting from the top)
Step-by-step explanation:
For a given function f(x), the difference quotient is:
[tex]\frac{f(x + h) - f(x)}{h} = \frac{1}{h}*(f(x + h) - f(x))[/tex]
In this case, we have:
[tex]f(x) = \frac{8}{4x + 1}[/tex]
Then the difference quotient will be:
[tex]\frac{1}{h}*( \frac{8}{4*(x + h) + 1} - \frac{8}{4x + 1})[/tex]
Now we should get a common denominator.
We can do that by multiplying and dividing each fraction by the denominator of the other fraction, so we will get:
[tex]\frac{1}{h}*( \frac{8}{4*(x + h) + 1} - \frac{8}{4x + 1}) = \frac{1}{h}*(\frac{8*(4x + 1)}{(4(x + h) +1 )*(4x + 1)} - \frac{8*(4(x + h) + 1)}{(4(x + h) +1 )*(4x + 1)})[/tex]
Now we can simplify that to get:
[tex]\frac{1}{h}*\frac{8*(4x + 1) - 8*(4(x + h) + 1)}{(4(x + h) +1 )*(4x + 1)}} = \frac{1}{h}*\frac{-32h}{(4(x + h) +1 )*(4x + 1)}} = \frac{-32}{(4(x + h) +1 )*(4x + 1)}}[/tex]
Then the correct option is the last one (counting from the top)
9x+5y=34
8x-2y=-2
What are the values of x and y? Please explain the steps.
Answer:
x = 1 and y =5
Step-by-step explanation:
[tex]8x -2y= -2\\Divide by -2\\-4x+y = 1\\add 4x\\y= 1+4x\\[/tex]
Substitute this value of y in the next equation.
[tex]9x+5(1+4x) = 34\\9x+5+20x=34\\29x+5=34\\29x=29\\x=1[/tex]
Solve for y using x.
[tex]y=4x+1\\y=4(1)+1\\y=5[/tex]
I need help with Trigonometric Ration
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.
The trigonometry ratios for a specific angle ‘θ’ is given below:
Trigonometric Ratios
Sin θ Opposite Side to θ/Hypotenuse
Cos θ Adjacent Side to θ/Hypotenuse
Tan θ Opposite Side/Adjacent Side & Sin θ/Cos θ
Cot θ Adjacent Side/Opposite Side & 1/tan θ
Sec θ Hypotenuse/Adjacent Side & 1/cos θ
Cosec θ Hypotenuse/Opposite Side & 1/sin θ
Note: Opposite side is the perpendicular side and the adjacent side is the base of the right-triangle. Also, check out trigonometric functions to learn about each of these ratios or functions in detail.Trigonometric Identities
Definition
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
The three sides of the right triangle are:
Hypotenuse (the longest side)
Perpendicular (opposite side to the angle)
Base (Adjacent side to the angle)
Sasha is twice as old as Kapila. If Kapila is x years old, find their total age.
Answer:
3x
Step-by-step explanation:
If Kapila's age =x.
Then Sasha's age would be =2x.
Their total age would be 3x.
Because 2x+x adds up to be 3x.