The equation of the Ferris wheel is x² + y² = 25, and the transformation that shows that the circles are similar is the dilation transformation
How to determine the equation of the Ferris wheel?
From the question, we have the following parameters:
Center (a,b) = (0,0)Radius, r = 5The equation of a circle is represented as:
(x - a)² + (y - b)² = r²
So, we have:
(x - 0)² + (y - 0)² = 5²
Evaluate
x² + y² = 25
Hence, the equation of the Ferris wheel is x² + y² = 25
See attachment for the image of the Ferris wheel
Transformation to a similar circle
Assume that the similar circle has the following parameters:
Center (a,b) = (0,0)Radius, r = 10The equation of the circle would be:
(x - 0)² + (y - 0)² = 10²
Evaluate
x² + y² = 100
Since both circles have the same center, the transformation that shows that they are similar is the dilation transformation
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One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?
A. 37 humans and 98 horses
B. 24 horses and 50 humans
C. 31 horses and 74 humans
D. 24 humans and 50 horses
Answer:
the answer is a
Step-by-step explanation:
Answer:
B. 24 horses and 50 humans
Step-by-step explanation:
74 x 2 = 148
196 - 148 = 48
48/2 = 24 (number of horses)
74 heads - 24 horses = 50 humans
The graph of this system of equations is which of the following?
2x + y = 6
6x + 3y = 18
Overlapping lines
Parallel lines
Intersecting lines
A curve intersecting with a line
Answer:
They are the same line. It means that they are overlapping line.
Answer:
Overlapping
Step-by-step explanation:
Divide every term of the second equation, it would be 2x + y = 6, which is the same as the first equation.
Find the lateral surface area of the triangular prism. refer to your staar 8th grade math reference sheet for the appropriate formula. question 8 options: 90 in2 110 in2 120 in2 130 in2
The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.
What is the lateral surface area of the triangular prism?The lateral surface area of the triangular prism is the product of the perimeter of the base and length.
L = perimeter of the base × length.
The side of the base is given as 7in, 3in, and 3in
and the length is 10in
The lateral surface area of the triangular prism = perimeter of the base × length.
L = (7in + 3in + 3in) 10
L = 13 × 10
L = 130 in sq.
Hence, The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.
Learn more about prism;
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Answer:
130 ig
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use Pythagoras theorem !
[tex]\qquad \sf \dashrightarrow \:h {}^{2} = p {}^{2} + b {}^{2} [/tex]
where,
h = hypotenuse = unknown b = base = 11 p = perpendicular = 12[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 12{}^{2} + 11 {}^{2} [/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 144{}^{} + 121[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 265[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{} = \sqrt{265}[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{} \approx16.3[/tex]
Help With this Math problem
Answer:
a) c = 11.2
b) c = 2
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
c = line across from the right angle
(HELP!!!)
Identify the variable expression that is “not” a polynomial.
A. x+2
B. XA+7
C. 24
D. y + x
Identify the variable expression that is “not” a polynomial.
Try looking for the one that breaks the rules of it being a polynomial.
Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.
If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.
Answer:
height of the tower: 165.8 ft
use tan rule:
[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
Here: [ your calculator should be in degree mode [D] ]
x = 37°opposite = height of the toweradjacent = 220Solve:
[tex]\hookrightarrow \sf \sf tan(37)= \dfrac{t}{220}[/tex]
[tex]\hookrightarrow \sf t = \sf tan(37)*220[/tex]
[tex]\hookrightarrow \sf t = 165.8 \ ft[/tex]
Convert 0.631 to a fraction in simplest form and a percent.
Answer:
63.1%
631/1,000
Step-by-step explanation:
Which number is a rational number?
13
549
16
√34
Answer:
all numbers except √34
Step-by-step explanation:
the top three are whole numbers and therefore rational
Solve this on your own and find the unit rate of miles per hour.
Solve the folllowing question-->2e+3=5
Answer:
[tex]\boxed{\sf{e=1}}[/tex]Step-by-step explanation:
Isolate the term of e from one side of the equation.
2e+3=5First, you subtract by 3 from both sides.
⇒ 2e+3-3=5-3
Solve.
Subtract the numbers from left to right.
⇒ 5-3=2
Rewrite the problem down.
⇒ 2e=2
Divide by 2 from both sides.
⇒ 2e/2=2/2
Solve.
Divide the numbers from left to right.
⇒ 2/2=1
⇒ e=1
Therefore, the correct answer is e=1.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
e = 1
Step-by-step explanation:
Subtract 3 both sides:
⇒ 2e + 3 = 5
⇒ 2e + 3 - 3 = 5 - 3
⇒ 2e = 2
Divide both sides by 2:
⇒ 2e = 2
⇒ 2e/2 = 2/2
⇒ e = 1
Ben has a dog that has a mass of 9 kilograms. What is the mass of the dog in grams?
Answer:
9000 grams
Step-by-step explanation:
Keep in mind the conversion 1 kilogram = 1000 grams, as 1 kilo means 1000.
⇒ 1 kilogram = 1000 grams
⇒ Ben's dog = 9 kilogram = x kilograms = 1000x grams
⇒ x = 9
⇒ Ben's dog = 9 kilogram = 1000x grams
= 1000(9) grams
= 9000 grams
Answer:
Your answer is,
9000 grams
Step-by-step explanation:
Hope this helps you :)
pls mark brainliest <3
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``Tori
The sum of 2 numbers is 55 the greater number is 17 times the smaller number plus 1 find the number
Answer:
3, 52
Step-by-step explanation:
The given relation can be expressed by the equation ...
x +(17x +1) = 55 . . . . . . where x represents the smaller number
__
Solution
18x = 54 . . . . . . . . . collect terms, subtract 1
x = 3 . . . . . . . . . divide by 18
The smaller number is 3. The larger number is 55-3 = 52.
the quotient of 40 and 5
Answer:
8
Step-by-step explanation:
Taking the quotient of two numbers means you are dividing one by the other. In this case, 40 is the dividend, and 5 is the divisor. This gets you 40/5=8 as the quotient.
If you multiply the quotient with the divisor, you get the dividend, as 8*5=40
Jeffrey is looking at a map of his town to help him get from his school to the library. If 1 inch is equal to 9 miles, and the distance on the map is 1/4
inch, how far is it to the library?
Answer:
2.25 miles
Step-by-step explanation:
1/4 of 9 is 2.25
Answer:
2.25 miles away
Step-by-step explanation:
first make 1/4 a percent
second set up a proportion
then solve the proportion and then you get 2.25 and add a label
Let f be the function defined by 1 2 1 1 4 3 2 f x( ) = x − x + x − x 4 3 2 2 . For how many values of x in the open interval (0, 1.565) is the instantaneous rate of change of f equal to the average rate of change of f on the closed interval [0, 1.565] ?
There are three values of x where the instantaneous rate of change of f(x) are equal in the open and closed intervals
How to determine the number of x values?The function is given as:
[tex]f(x) = \frac 14x^4 - \frac 23x^3 + \frac 12x^2 - \frac 12x[/tex]
Calculate f(0)
[tex]f(0) = \frac 14 * 0^4 - \frac 23 * 0^3 + \frac 12 *0^2 - \frac 12 * 0[/tex]
[tex]f(0) = 0[/tex]
Calculate f(1.565)
[tex]f(1.565) = \frac 14 * 1.565^4 - \frac 23 * 1.565^3 + \frac 12 *1.565^2 - \frac 12 * 1.565[/tex]
[tex]f(1.565) = -0.613[/tex]
The average rate of change is then calculated using:
[tex]m = \frac{f(1.565) - f(0)}{1.565 - 0}[/tex]
This gives
[tex]m = \frac{-0.613 - 0}{1.565 - 0}[/tex]
[tex]m = -0.392[/tex]
Differentiate the function f(x)
[tex]f'(x) = x^3 - 2x^2 + x - \frac 12[/tex]
Set f'(x) to [tex]m = -0.392[/tex]
[tex]x^3 - 2x^2 + x - \frac 12 = -0.392[/tex]
From the graph of the above equation (see attachment), we have three values of x at:
x = 0.1492, x = 0.5614 and x = 1.2894
Hence, there are three values of x in the open interval (0,1.565)
Read more about instantaneous rate at:
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For each interval on the table indicate whether is increasing decreasing or neither
The intervals indicated on the graph are:
-7 < x < -3, -3 < x < -1, & 1 < x < 3 are increasing
-1 < x < 1, & 3 < x < 5 are decreasing
5 < x < 7 is neither
When does an Interval of a Function Decrease or Increase?The interval of a function is increasing when the line slopes upward to the right along the interval. This means that the function value would increase as the input values decrease within the given interval.
On the other hand, the interval decreases when the line of the function slopes downwards within the interval. This implies that as the function value decreases, the input values increase within the given interval.
Therefore, from the graph given, we can conclude that:
-7 < x < -3: increasing
-3 < x < -1: increasing
-1 < x < 1: decreasing
1 < x < 3: increasing
3 < x < 5: decreasing
5 < x < 7: neither
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Which fraction does this line plot represent?
5/8
6/8
5/9
3/8
Answer:
5/8
Step-by-step explanation:
Just gonna fill up the required space here lol
A boat is traveling at 28 knots in a direction of 36 degrees. It encounters wind moving at 10 knots in a direction of 22 degrees. What is the true velocity and direction of the boat? round to the nearest whole #
a) 38knots;58 degrees
b) 32knots;30 degrees
c) 1,427knots;58 degrees
d) 38knots;32 degrees
The magnitude of the total velocity of the boat is 38 knots, and the direction is 32°, so the correct option is d.
How to get the velocity of the boat?
First, we need to write need to find the component of the two given velocities.
For the boat, the magnitude is 28 knots and the angle is 36°, then the components are:
x-component = (28 knots)*cos(36°) = 22.65 knotsy-component = (28 knots)*sin(36°) = 16.46 knotsFor the wind, the components are:
x-component = (10 knots)*cos(22°) = 9.27 knotsy-component = (10 knots)*sin(22°) = 3.75 knotsAdding these, the total components of the boat's velocity are:
x-comp = 22.65 knots+ 9.27 knots = 31.92 knotsy-comp = 16.46 knots + 3.75 knots = 20.21 knotsThen the magnitude of the velocity is:
|V| = √( (31.92 knots)^2 + (20.21 knots)^2) =37.78 knots
That can be rounded to 38 knots
To get the angle, we take the arctangent of the quotient between the y-component and the x-component:
a = Atan(20.21 knots/31.92 knots) = 32.34°
Then the correct option is d) 38 knots and 32°
If you want to learn more about velocity, you can read:
https://brainly.com/question/4931057
Answer:
It is 38 knots; 32 degrees
Step-by-step explanation:
The answer below is right
I took the test
If x=y and y= 2, then 3x=
~Denki Kaminari here~
Answer:
6
Step-by-step explanation:
because x is equal to 1, and y is equal to 2, all we need to do is skip count 3 times by 2 and you get your answer: 6!
hope this helps :D
Answer:
6
Step-by-step explanation:
Given that x = y so that means if y and x are same and have same values. Therefore if y = 2 then x = 2.
So substitute x = 2 in 3x:
3(2) = 6
Therefore, the solution is 6
Kia's plant is 8 1/5 inches tall and is growing 2/3 inch each week. Lyric's plant is 10 7/10 inches tall and is growing 1/6 inch each week. Write and solve an equation to find how many weeks it will take for the height of the two plants to be the same.
Equation:
Solution:
Answer:
See below
Step-by-step explanation:
8.2 + 2/3w = 10.7 + 1/6 w
1/2 w = 2.5
w = 5 weeks
look at point C and D on the graph..
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
2.24 units
3.16 units
6.40 units
7.07 units
Answer: 7.07
Step-by-step explanation:
Consider the quadratic equation x2+7x+8=0. Which of the following is the correct form after substituting a, b, and c into the Quadratic Formula?
x=7 ±(7)2−4(1)(8)√2(1)
x=(7)2−4(1)(8)√2(1)
x=−7 ±(7)2−(1)(8)√2(1)
x=−7 ±(7)2−4(1)(8)√2(1)
Answer:
x=−7 ±(7)2−4(1)(8)√2(1)
Step-by-step explanation:
I risked it all and got it right
and again, 7-10.. thanks!!
unhelpful answers will be deleted.
In parallelogram SAVE, the value of the angle is m∠SEV = 125° while in parallelogram MORE ∠MOR = 111
What is a parallelogram?
A parallelogram is a quadrilateral with equal opposite and parallel sides. Opposite angles are equal.
In parallelogram SAVE:
m∠VAS = m∠SEV
3x - 5 = 2x + 15
x = 20
m∠VAS = 3(20) - 5 = 55 degrees
m∠VAS + m∠SEV = 180 (consecutive interior angles)
55 + m∠SEV = 180
m∠SEV = 125°
In parallelogram MORE:
∠MOR + ∠ORE = 180 (consecutive interior angles)
4x - 5 + 2x + 11 = 180
x = 29
∠MOR = 4(29) - 5 = 111
In parallelogram SAVE, the value of the angle is m∠SEV = 125° while in parallelogram MORE ∠MOR = 111
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LOTS OF BRAINLY POINTS HELP ASAP PLS TYSM
you are flipping a coin and you flip tails 3 out of 10 times you flipped the coin. what is the experimental probability that you flip a tails. express your answer as a simplified fraction.
Answer:
3/10
Step-by-step explanation:
So, you already have the experimental probability. The theoretical probability is 5/10, but that's not what you're lookig for.
What is the square root of 546 divided by 67 (100 points!)
Round answer to 2 decimal points
Answer: the answer is 0.35 because
Square root of 546 is 23.3666428911
23.3666428911 divided by 67 is 0.34875586404
0.34875586404 rounded to 2 decimal points is 0.34875586404
the answer I had is 0.3487. first of all you have to find the square root of 546 which is 23.366 then you divide it by 67 which will give you 0.3487
Given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function.
Answer:
you can find the aswer in the question and the in the frist sentes of the question
Step-by-step explanation:
Please tell me how to solve this. if two people answer and one is the most specific, I will mark Brainliest.
Answer:
3.
Step-by-step explanation:
You use a "centroid." There is a ratio. As provided, MW is 9. The ratio is 1:2, and CW is smaller. The answer is 3.
"The centroid is also known as the geometric center of the object. The centroid of a triangle is the point of intersection of all the three medians of a triangle. The medians are divided into a 2:1 ratio by the centroid." -cuemath .com > geometry > centroid-of-a-triangle
Work out the size of one of the exterior angles
Given Information :-
⠀
A polygon with 10 sides ( Decagon )⠀
To Find :-
⠀
The value of one of the exterior angles⠀
Formula Used :-
⠀
[tex] \qquad \diamond \: \underline{ \boxed{ \pink{ \sf Exterior ~angle = \dfrac {360^\circ}{no. ~of~sides}}}} \: \star[/tex]
⠀
Solution :-
⠀
Putting the given values, we get,
⠀
[tex]\sf \dashrightarrow Exterior ~angle = \dfrac{360 ^\circ}{10} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \frac{36 \cancel{0}^\circ}{ \cancel{10}} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \underline{ \boxed{ \frak{ \red{36^\circ}}}} \: \star \\ \\ [/tex]
Thus, the value of the exterior angles of a Decagon is 36°.
⠀
[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]
Answer:
36° .⠀
Explanation :
⠀
For a regular polygon of n sides, we have
[tex]{ \longrightarrow \qquad \pmb{ \it{Each \: exterior \: angle = { \bigg( {\dfrac{360}{n} } \bigg)^{ \circ} }}}}[/tex]
⠀
Here, We are to find the measure of each exterior angle of a regular decagon.
⠀
So, we know a regular decagon has 10 sides, so n = 10 .⠀
Now, substituting the value :
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{360}{10} } \bigg)}^{ \circ} [/tex]
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle _{(Decagon)}= { \bigg( {\dfrac{36 \cancel0}{1 \cancel0} } \bigg)}^{ \circ} [/tex]
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{36}{1} } \bigg)}^{ \circ} [/tex]
⠀
[tex]{\pmb{ \frak{ \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = 36^{ \circ} }}}[/tex]
⠀
Therefore,
The measure of each exterior angle of a regular decagon is 36° .
Write a formula for function g in terms of function h.
Answer:
g(x) = h(x + 7) + 5Step-by-step explanation:
Compare the corresponding points, the best is vertices
y = h(x) ⇒ (- 2, - 7)y = g(x) ⇒ (5, - 2)Find the difference of coordinates, the rule of translation right and up
x = 5 - (-2) = 7 y = - 2 - (- 7) = 5The formula of g(x) in therms of h(x) is:
g(x) = h(x + 7) + 5Answer:
g(x) = h(x - 7) + 5
Step-by-step explanation:
Vertex of a parabola
The turning point (stationary point) of the curve.
the minimum point of a parabola that opens upwardsthe maximum point of a parabola that opens downwardsTo find the series of translations that transform the graph of y = h(x) onto y = g(x), compare the vertices of both graphs.
Vertex of h(x) = (-2, -7)
Vertex of g(x) = (5, -2)
Therefore, y = h(x) has been translated 7 units to the right and 5 units up.
Translations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Therefore:
h(x) translated 7 units right = h(x - 7)h(x - 7) translated 5 units up = h(x - 7) + 5Therefore, the formula for g(x) in terms of h(x) is:
g(x) = h(x - 7) + 5
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