Answer:
153.86 units²
Step-by-step explanation:
You need to find the area of a circle, given that its radius is 7.
I am going to apply the formula:
A = πr²
whereas -
A = areaπ = the number pir = radiushere's a diagram for reference -
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 7\ cm}\end{picture}[/tex]
--
Plug all the data into the formula:
A = 3.14 * 7^2
A = 3.14 * 49
A = 153.86
[tex]\bigstar[/tex] Therefore, the area is 153.86 units²
Choose the correct description of how the graph of f(x)=x2 changes due to the transformation. Graph the function using your graphing calculator to check your answer. g(x)=−5x2
The answers are:
B. The graph of f(x) is shifted up 50 units
E. The graph of f(x) is shifted right 10 units
F. The graph of f(x) is reflected over the x-axis
How to calculate transformation?The given function is f(x) = x²
This is an upward-facing vertical parabola.
The vertex is the smallest.
The vertex's origin is at (0, 0).
g(x) = –5x² + 100x – 450
This is an open downhill vertical parabola.
The vertex is the greatest
The first thing to notice is that fx) opens up whereas g(x) opens down, indicating that a reflection across the x-axis was used.
Find the g(x) vertex.
change the form to vertex
g(x) = –5x² + 100x – 450
Complete the square
g(x) = -5(x² - 20x) - 450
g(x) = -5(x² - 20x + 100) - 450 + 500
g(x) = -5(x² - 20x + 100) + 50
g(x) = -5( x - 10)² + 50
The vertex is located at (10, 50).
To the vertex from (0,0) to (10,50)
The translational principle is
(x,y) ------> (x+10,y+50)
This implies ----> The translation is 50 units up and 10 units to the right.
The adjustments are
The f(x) graph is moved forward by 50 units.
The f(x) graph is 10 units to the right.
Over the x-axis is a reflection of the f(x) graph.
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The complete question is,
Which transformations have been applied to the graph of f(x) = x² to produce the graph of g(x) = –5x² + 100x – 450? Check all that apply.
A.The graph of f(x) = x² is shifted up 25 units.
B.The graph of f(x) = x² is shifted up 50 units.
C.The graph of f(x) = x² is shifted down 950 units.
D.The graph of f(x) = x² is shifted left 10 units.
E.The graph of f(x) = x² is shifted right 10 units.
F.The graph of f(x) = x² is reflected over the x-axis.
which best describes the transformation of ABC to A'B'C?
The rule that best describes this transformation is option A) (x, y) (x, y-7)
What is the transformation?The term Coordinate geometry entails is the study of of geometric shapes by plotting them in the coordinate axes.
Note that from the image attached:
Coordinates of A = (2,6) Coordinates of A' = (2,-1)
Coordinates of B= (1,2) Coordinates of B'=(1,-5)
Coordinates of C=(4,2) Coordinates of C'=(4,-5)
From the above, the x-coordinate is not altered but there is a difference of 7 units in y-coordinates. Hence, The rule that best describes this transformation is (x, y-7)
Hence, The rule that best describes this transformation is ( (x, y) (x, y-7)
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See full question below
Triangle ABC was transformed to create triangle A’B’C’. Which rule best describes this transformation?
A) (x, y) (x, y-7)
B) (x, y) (x, -y)
C) (x, y) (x-7, y)
D) (x, y) (-x, y)
Pls help this is timed
The student council consists of 10 juniors and 12 seniors. If two members are voted to be officers, what is the probability they are both seniors? Round the answer to two decimal places.
The probability that they are both seniors nearest to two decimal places will be 0.29.
Given that:
The student council consists of 10 juniors and 12 seniors. If two members are voted to be officers.
The probability is given as,
P = (Favorable event) / (Total event)
The probability that they are both seniors will be given as,
P = ¹²C₂ / ²²C₂
P = 66 / 231
P = 2/7
P = 0.29
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Which of these does the map show?
the size of Georgia's population compared with other
states'
the western lands that Georgia ceded to the federal
government
the changes in Georgia's land policies over time
the distance between the Savannah and Mississippi
rivers
HELLLLPPPPP
The map shown the western lands that Georgia ceded to the federal government. The Option A is correct.
Why did Georgia ceded western land to federal government?Georgia ceded its western land to federal government because of financial struggles faced after the American Revolutionary War.
The state had accumulated debts and lacked the financial resources to manage and develop the western lands within its borders which were inhabited by Native American tribes. Also, there were concerns about potential conflicts with Native American tribes and the need for federal protection.
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solve each system by substitution.
4x+4y=4
y=0
The system of equations when solved by substitution is x = 1 and y = 0
Solving the system of equations by substitution.From the question, we have the following parameters that can be used in our computation:
4x+4y=4
y=0
Substitute 0 for y in the first equation
So, we have
4x + 4(0) =4
This gives
4x = 4
Divide by 4
x = 1
Hence, the solution is x = 1 and y = 0
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find x, congruent chords and arcs.
The two chords of the circle are same and x = 3
Given data ,
Let the circle be represented as C
Now , the length of the two chords of the circle are
The length of chord JK = 52 units
The length of chord LM = 18x - 2
Now , the two arcs subtended by the chords are the same , so
The lengths of the chords are same
Now , JK = LM
On simplifying , we get
52 = 18x - 2
Adding 2 on both sides , we get
18x = 54
Divide by 18 on both sides , we get
x = 54/18
x = 3
Hence , the chords are solved and x = 3
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6 is added to the product of 7 and a nunber
Answer:
42
Step-by-step explanation:
Approximate the area under the curve graphed below from z=1 to z = 6 using a Left Endpoint
approximation with 5 subdivisions.
Which of the following is correct for this approximation?
O The rectangles are circumscribed because the function is increasing.
O The rectangles are circumscribed because the function is decreasing.
O The rectangles are inscribed because the function is increasing.
O The rectangles are inscribed because the function is decreasing.
The correct option for the approximation of the area under the curve would be B. The rectangles are circumscribed because the function is decreasing.
How to describe the approximation ?Inscribed rectangles come into contact with the curve at their top-right corners when it is an increasing function, and if it is a decreasing function they touch the curve's top-left corners.
Consequently, inscribed rectangles always give low approximations of the area beneath the curve where functions are increasing, alternatively while overestimating the area for decreasing functions. If the function is ascending, then the rectangles become circumscribed since their top-left edges adhere to the curve, while in declining functions, these remain inscribed instead since their top-left points coincide with the graph.
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can someone solve these for me?? URGENT
Question #5:
The graph of f(x) is shown below.
f(x)
What is the value of f(3)?
(1) 6
(2) 2
(3)-2
(4) -4
Annotate your graph and explain your answer choice:
Using the graph we can see that the value is:
f(-3) = 6
(or f(3)= 7, depengin on which you need).
How to find the value of f(-3)?so here we have the graph of f(x), to find the value of f(-3), you first need to find x = -3 on the horizontal axis.
Then move vertically until you meet the graph of the function, once you do that, you can move horizontally until you meet the vertical axis, and at that point you can identifty the value of the function.
We can see that:
f(-3) = 6
(if instead you wanted f(3), it is equal to 7, but it wasn't in the options)
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triangle fgh is rotated 90° clockwise around the origin to form triangle f’g’’h’.
select true or false statement
angle f is larger than angle f’.
side gh is the same length as side g’h’.
the area of triangle fgh is rhe same as the area of triangle f’g’h’
The true or false statements are
False: angle f is larger than angle f’.True: side gh is the same length as side g’h’.True: the area of triangle fgh is rhe same as the area of triangle f’g’h’Selecting the true or false statementFrom the question, we have the following parameters that can be used in our computation:
Triangle fgh is rotated 90° clockwise around the origin to form triangle f’g’’h’.
This is a rigid transformation and as such the side lengths and angles would remain unchagned
So, we have
False: angle f is larger than angle f’.True: side gh is the same length as side g’h’.True: the area of triangle fgh is rhe same as the area of triangle f’g’h’Read more about transformation at
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Sea r la recta que pasa por los puntos (6; 0) y (0; 6):
Sea s la recta que pasa por los puntos (0; 9) y (1; 7):
El unico punto comun a las rectas r y s es:
(a) (4; 2)
(b) (5; 1)
(c) (4; 1)
(d) Ninguna de las otras respuestas es la corre
¿Como llego a la conclusión de cual es?
need help with algbra. here is screenshot. quick pls I will give brainlist.
Answer:
Yes, it can be simplified into this: (wouldn't allow me to put the ± sign in the equations :P)
[tex]\frac{-3+2\sqrt{5} }{2} \\\frac{-3-2\sqrt{5} }{2}[/tex]
Step-by-step explanation:
Answer:
(-3 + √20)/2 = (-3 + √4√5)/2
= (-3 + 2√5)/2
= (-3/2) + √5
Solve for x 2x-9÷x-4
In the given equation, 2x-9÷x-4 = 3, the solution to the equation is x = 3.
A quadratic equation is a second-degree polynomial equation in one variable of the form [tex]ax^2[/tex] + bx + c = 0, where x is the variable, and a, b, and c are constants, with a ≠ 0.
To solve for x in the equation 2x - 9 / (x - 4) = 3, we can begin by multiplying both sides by (x - 4) to eliminate the fraction in the equation:
2x - 9 = 3(x - 4)
Expanding the right side, we get:
2x - 9 = 3x - 12
Now we can simplify by subtracting 2x from both sides:
-9 = x - 12
And adding 12 to both sides:
3 = x
Therefore, the solution to the equation is x = 3.
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Your question seems incomplete, the probable complete question is
Solve for x:
2x-9÷x-4 = 3
I need help with this please
Answer:
B) 3/4
Step-by-step explanation:
longest length is 1 7/8
Shortest is 1 1/8
1 7/8 — 1 1/8 = 6/8
6 / 2 = 3
8 / 2 = 4
6/8 = 3/4
Which inequality represents this number line?
Answer: X> -1 (third one down)
Step-by-step explanation: open circle means x cannot be that value and the line moving forward to the right means that x can be anything greater than -1
Plot and connect the points A(-2,4), B(5,4), C(5,-3), D(-2,-3), and find the perimeter of figure ABCD.
A.
36 units
B.
49 units
C.
28 units
D.
21 units
Arrange this set of tools from the smallest to the largest size. 3/8, 3/4, 5/8, 7/16, 1/2, 5/16
Answer:
1/2, 5/8, 3/4, 7/16, 3/8, 5/16
Answer:
7/16, 5/16, 5/8, 3/8, 3/4, 1/2
Step-by-step explanation:
you see the biggest numbers mean the more times its been split so the smaller each peice would be so therefor the biggest number would be the smallest tool and vice versa
Create a problem using the pictures and solve it please
The length of string of the kite is 13 m.
Question :-
A boy is flying a kite which is 12 m high from the ground the horizontal distance of the boy from the kite is 5 m, find the length of string of the kite?
Solution :-
The scenario is setting up a picture of a right triangle, where the horizontal distance of the boy from the kite is the base and the height of the kite from the ground is the height of triangle, and the length of the string is acting as a hypotenuse,
So, using the Pythagoras theorem,
12² + 5² = x²
x = √144+25
x = √169
x = 13 m
Hence, the length of string of the kite is 13 m.
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Doug has 8 square pieces of wood. Each piece of wood has a side length of s centimeters. The total area of all eight pieces of wood is 200 square centimeters. Create a quadratic equation Dounfg can use to find the side length of each piece of wood.
The required quadratic equation is s² - 25 = 0 and length of sides be 5 cm.
Given that
Number of square pieces of wood = 8
Length of side of each piece = s cm
Area of 8 pieces of wood = 200 cm²
We know the equation A = s²,
Where s is the side length, determines the area of a square.
Then total area of all the pieces can be written as:
8s² = 200
⇒ s² = 25
⇒ s² - 25 = 0
or s = 5 cm
Hence quadratic equation ⇒ s² - 25 = 0 and side = 5 cm
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The last dividend of Delta, Inc. was $5.95, the growth rate of dividends is expected to be 3.14 percent, and the required rate of return on this stock is 11.88 percent. What is the stock price according to the constant growth dividend model? Round the answer to two decimal places. Your Answer:
The stock price according to the constant growth dividend model is $71.57.
What is percent?
Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%
We can use the constant growth dividend model to calculate the stock price:
Next Dividend / (Required Rate of Return - Growth Rate) Stock Price
Since the problem only provides the last dividend, we need to calculate the next dividend first. We can use the growth rate to find the next dividend:
Next Dividend = Last Dividend × (1 + Growth Rate) = $5.95 × (1+0.0314) = $6.14
Stock Price $6.14 / (0.1188 -0.0314) $71.57
Therefore, the stock price according to the
constant growth dividend model is $71.57.
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miscellaneous expenses is credit or debit
It depends on the specific nature of the expense and the accounting method being used. Generally, miscellaneous expenses would be debited to an expense account, which would decrease the net income, and would be credited to a cash or accounts payable account, representing the payment for the expense. However, there may be certain miscellaneous expenses that are credited to a revenue account or a liability account, depending on their nature and purpose within the business.
can someone help me on 5 or 6. (find the area and perimeter)
Answer:
the answer is 6 trust. poopoo
Joey wants to learn about the effects of polluted air on photosynthesis
in plants. During his experiment, which part of the plant should he
carefully observe?
1. seeds
2. flowers
3. leaves
4. roots
Answer: leaves
Step-by-step explanation:
Joey should carefully observe the leaves of the plants during his experiment. Photosynthesis primarily occurs in the leaves, where chlorophyll, the pigment responsible for capturing sunlight, is located. The process of photosynthesis converts sunlight, carbon dioxide, and water into glucose and oxygen. Polluted air can negatively impact photosynthesis by reducing the availability of carbon dioxide or by damaging the chlorophyll and other components involved in the process.
Cameron drinks 2,000 milliliters of water everyday how many liters will he drink in seven weeks
Cameron will drink 98 liters of water in seven weeks.
What is Unit conversion:Unit conversion is the process of converting a measurement expressed in one unit to an equivalent measurement expressed in another unit.
To find the answer in Liters we need to convert the daily amount of water from milliliters to liters.
This involves using a conversion factor (1 liter = 1000 milliliters) to convert the units from milliliters to liters.
Here we have
Cameron drinks 2,000 milliliters of water every day
Let's convert the daily amount of water Cameron drinks from milliliters to liters by dividing by 1000:
2000 milliliters / 1000 = 2 liters
So, Cameron drinks 2 liters of water every day.
To find out how many liters he will drink in seven weeks, we need to multiply his daily intake by the number of days in seven weeks.
There are 7 days in a week, so:
7 weeks x 7 days = 49 days
The amount of water taken by Cameron can be
2 liters/day x 49 days = 98 liters
Therefore,
Cameron will drink 98 liters of water in seven weeks.
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What's 2(tan x -sqrt3)=2. I need it in radians or degrees, not a weird decimal like 1.2199.
Answer:
1) Solving for x in Radians
x=1.21991691+ πn, for any integer n
2) Solving for x in Degrees
x=69.89609063+180n, for any integer n
Step-by-step explanation:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
Answer: Starting with 2(tan x - sqrt(3)) = 2:
First, divide both sides of the equation by 2 to simplify:
tan x - sqrt(3) = 1
Next, add sqrt(3) to both sides:
tan x = 1 + sqrt(3)
To solve for x, we need to take the arctan of both sides:
x = arctan(1 + sqrt(3))
In degrees, this is:
x = 75 degrees
In radians, this is:
x = 5π/12 radians
Step-by-step explanation: can i get brainliest pretty pls
17 POINTS MARKING AS BRAINLIST PLEASE HELP
Answer: 51.34
Step-by-step explanation:
you need to use SOH CAH TOA
here they give opp and adj
Use tan
tan∅=opp/adj=10/8 now use that tan^(-1) (10/8) in calculator
x=51.34
Miranda has a square piece of posterboard with a perimeter of 36 inches. She cuts the posterboard along a diagonal to form two right
triangles. What is the length of the hypotenuse of each right triangle? Round to the nearest tenth.
Answer:
The length of the hypotenuse of each right triangle is approximately 12.7 inches, rounded to the nearest tenth.
Step-by-step explanation:
Let's start by finding the length of one side of the square posterboard.
Since the perimeter is 36 inches, and a square has four equal sides, we can divide the perimeter by 4 to get the length of one side:
36 ÷ 4 = 9
So each side of the square posterboard is 9 inches long.
When Miranda cuts the posterboard along a diagonal, she forms two right triangles. Let's call the length of the hypotenuse of each right triangle "c".
We can use the Pythagorean theorem to find the length of "c":
a² + b² = c²
Since the posterboard is a square, each of the legs of the right triangle has a length of 9 inches.
9² + 9² = c²
81 + 81 = c²
162 = c²
c ≈ 12.7
So, the length of the hypotenuse of each right triangle is approximately 12.7 inches, rounded to the nearest tenth.
With exactly 2700 square inches of cardboard, we wish to construct a box width 2x, depth x, height 2x. We would like to maximize the volume, V, the box can hold. Which values of width, depth, and height fulfill our objective?
QUESTION 1 17 sin 2015 = 0, where 20 E (90°; 270°). Determine without the use of a calculator and with the aid of a diagram the value of: cos 20
Answer: cos 20 = -√3/2
Step-by-step explanation:
Since sin 2015 = 0 and 20° is in the second quadrant, we know that the reference angle for 20° is 20° - 180° = -160°. So we need to find the value of cos(-160°).
We can use the fact that cos(-θ) = cos(θ) to find the value of cos(-160°) as follows:
cos(-160°) = cos(160°)
To find the cosine of 160°, we can use the identity cos(180° - θ) = -cos(θ) as follows:
cos(160°) = cos(180° - 20°) = -cos(20°)
Now, we need to determine the sign of cos(20°) in the second quadrant. Since 30°, 45° and 60° are angles in the first quadrant with exact values of √3/2 and 90° - 60° = 30°, 90° - 45° = 45°, 90° - 30° = 60° are their respective corresponding angles in the second quadrant, we can use the fact that cosine is a decreasing function in the second quadrant to conclude that:
1 > cos(20°) > √3/2
Therefore, since sin 2015 = 0, we know that cos(-160°) = -cos(20°) = 0, which implies that cos(20°) = 0.
Therefore, cos 20 = -√3/2.
