The area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn is (2π + 40) mm².
What is the area of the semicircle?The area of a semicircle is the space contained by the circle. The area is the number of square units enclosed by the sides of the shape.
The area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn is given by adding an area of MKCD , area of ABCD, area of a semi-circle with AB as diameter.
Area of the composite figure = area of MKCD + area of ABCD + area of a semi-circle with AB as diameter.
The area of the composite figure is;
Area A = (DC + MK)/2 × DN + AB² + (1/2)×π×2²
Area A = (4 + 8)/2 × 4 + 4² + (1/2)×π×4
Area A = 24 + 16 + 2π = (2π + 40) mm²
Hence, the area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn is (2π + 40) mm².
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can anyone help me with this I don't know the answer?
The table shows input and output values for a liner function f(x). What is the positive difference of outputs for any two outputs that are two values apart? H E L P. 10 Points award!!
Answer:
If you observer the value of x=0 and x=1, you can conclude that every 1 value of x increased,
the f(x) will be increased by 0.5. The graph function should be:
f(x)= x/2A positive difference means that the value should be always positive.
To find 3 the positive difference of f(x) with 3 values of x apart, let use x=0 and x=0+3= 3. The difference would be:
f(x+3) - f(x)f(3)- f(0)=1.5 - 0= 1.5The answer would be: 1.5
Diameter = 5 yards find the area of the circle in square feet
Answer:
6.25π or 19.625
Step-by-step explanation:
Diameter=2r
Area=πr^2
We need to find the radius (5/2=2.5)
Plug in 2.5 for the area forumla= π2.5^2
Solve = 6.25π
Create a dot plot to represent the data. what can you conclude about the dot plot of the data set? select the three best answers. the range of the number line should be 0 to 7 to represent the frequency. four families said they ate out twice the previous week. one family said they ate out 5 times the previous week. the data set is symmetrical. the median best represents the data set.
The range of the dot plot can be from zero to seven because it covers the given data set. Then the correct options are A, B, and C.
What is frequency?The element which appears a number of times are called frequency.
The data set shown below represents the number of times some families went out for dinner the previous week.
The data set is given as:
4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1
Rearrange in ascending order
0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 5, 6
Data Frequency
0 2
1 2
2 4
3 0
4 2
5 1
6 1
Because the median is 2, and the data points to the left and right are not symmetrical, the data set is not symmetrical.
From the given data set
4 has a frequency of 2
5 has a frequency of 1
Then the range of the dot plot can be from zero to seven because it covers the given data set.
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help pls
make sure its correct
The quadratic regression equation of company X sales would have a degree of 2
The quadratic regression equation is y = -507.61x^2 +23372.94x -170697.85The profit for selling at $22.75 is $98316.63The quadratic regression equationTo determine the quadratic regression equation, we make use of a graphing calculator
From the graphing calculator,we have the following calculation summary
a = -507.61b = 23372.94c = -170697.85A quadratic regression equation is represented as:
y = ax^2 + bx + c
So, we have:
y = -507.61x^2 +23372.94x -170697.85
Hence, the quadratic regression equation is y = -507.61x^2 +23372.94x -170697.85
The profit for selling at $22.75This means that:
x = 22.75
So, we have:
y = -507.61 * 22.75^2 + 23372.94 * 22.75 -170697.85
Evaluate
y = 98316.63
Hence, the profit for selling at $22.75 is $98316.63
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pls answer this fasttt
got a deadline
Answer: 1.a equal 158 over 33 1.b equals 34 over 33
1.c equals negative 31 over 15
3.a equals 106 over 35
3.b equals negative 293 over 72 .
Step-by-step explanation: I am very sorry but I answered what I know . Hope it helps you . Sorryyy. Thanks . .
PLEASE HELP FAST. What is the area of this right triangle?
Formula for the area of a triangle = 1/2 x base x height
Base = 24
Height = 7
Area = 1/2 x 24 x 7 = 12 x 7 = 84
Answer: 84 yd^2
Hope this helps!
The record low temp in Fargo, ND is -37*F. The record high is 109*F. What is the difference in the record high and the record low temperatures?
Answer:
109 - -37 = 146
Step-by-step explanation:
since you are subtracting a negative, the negative number and the sign cancel each other out. So all you have to do is add.
If circumference of a circle x^2 +y^2 -6x+2y+c =0 be 6pie units, find c
Circumference = 2× pie × r
Circumference = 6pie
Thus ;
2pie × r = 6pie
r = 3
____________________________________________
[tex]r = \frac{1}{2} \sqrt{ ({ - 6})^{2} + {2}^{2} - c} \\ [/tex]
[tex]3 = \frac{1}{2} \sqrt{ 36 + 4 - c} \\ [/tex]
[tex]6 = \sqrt{40 - c} [/tex]
[tex]( {6})^{2} = ({ \sqrt{40 - c} })^{2} [/tex]
[tex]36 = 40 - c[/tex]
[tex]c = 4[/tex]
The first three steps in writing f(x) = 40x 5x2 in vertex form are shown. write the function in standard form. f(x) = 5x2 40x factor a out of the first two terms. f(x) = 5(x2 8x) form a perfect square trinomial. (eight-halves) squared = 16 f(x) = 5(x2 8x 16) – 5(16) what is the function written in vertex form? f(x) = 5(x 4) – 80 f(x) = 5(x 8) – 80 f(x) = 5(x 4)2 – 80 f(x) = 5(x 8)2 – 80
The function which is the vertex form of the equation whose first three steps shown in writing is f(x)=5(x +4)²- 80.
What is the vertex form of parabola?Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.
The standard equation of the vertex form of parabola is given as,
[tex]y=a(x-h)^2+k[/tex]
Here, (h, k) is the vertex point.
The first three steps in writing the function in vertex form are shown.
[tex]f(x) = 40x +5x^2[/tex]
Write the function in standard form.
[tex]f(x) = 5x^2+ 40x[/tex]
Factor out of the first two terms by taking out the common number 5 from the equation,
[tex]f(x) = 5(x^2 +8x)[/tex]
Form a perfect square trinomial with (8/2)² = 16,
[tex]f(x) = 5(x^2 +8x+ 16) - 5(16)\\f(x) = 5(x+4)^2 - 80[/tex]
Hence, the function which is the vertex form of the equation whose first three steps shown in writing is f(x)=5(x +4)²- 80.
Learn more about the vertex form of the parabola here;
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Answer:
c
Step-by-step explanation:
Food Bill= $48.06 and a 24% tip Tip = $ Total = $
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{24\% of 48.06}}{\left( \cfrac{24}{100} \right)48.06}\implies 11.5344~\hfill \underset{total}{\stackrel{48.06~~ + ~~11.53}{\approx 59.59}}[/tex]
Answer:
59.59$
Step-by-step explanation:
24% of $48.06=11.5344
Total=11.5+48.06=$59.59
A web browser is open on your computer screen. The area of the browser window is 24 square inches. Find the length of the browser window x. The browser covers 3/13 of the screen. What are the dimensions of the screen?
We will see that the length of the browser window is 4.9 inches, and the screen is a square of sidelength 10.2 in
How to find the length of the browser window?
We know that the area of the browser window is 24 in^2, we will assume that the window is a perfect square, then the area is equal to the square of the length x, we have:
x^2 = 24 in^2
x = √(24 in^2) = 4.9 in
How to get the dimensions of the screen?We know that the browser covers 3/13 of the screen, so the area of the screen is 13/3 times the area of the browser:
A = (13/3)*24 in^2 = 104 in^2
Again, if the screen is square of sidelength s, we have:
s^2 = 104 in^2
s = √(104 in^2) = 10.2 in
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1+(2/3)-(-9/2)
i don't understand this and i need help
Answer:
6.167
Step-by-step explanation:
1 + 2/3 - (-9/2)
1 + 2/3 + 9/2
Taking LCM (1 x 2 x 3)
6/6 + 4/6 + 27/6
6 + 4 + 27/6
37/6
6.167 Ans
I need help! will mark brainliest and add bonus points. The question is own below:
The mean age of 17 golfers is 52
The mean age of 9 of the golfers is 74
what is the mean age of the 8 golfers
Answer:
27.25 Years Old
Step-by-step explanation:
Find the total age of the 17 golfers.
52(17) = 884
Find total age of the 9 golfers.
9(74) = 666
Subtract.
884 - 666 = 218
Divide by the 8 golfers.
218/8 = 27.25
Which equation is equivalent to n+4 = 11?
Answer:
n = 7
Step-by-step explanation:
n+ 4 = 11 subtract 4 from both sides of the equation
n + 4 -4 = 11-4
n = 7
Hey there!
n + 4 = 11
SUBTRACT 4 to BOTH SIDES
n + 4 - 4 = 11 - 4
CANCEL out: 4 - 4 because it give you 0
KEEP: 11 - 4 because it help solve for the n-value
NEW EQUATION: n = 11 - 4
SIMPLIFY IT!
n = 7
Therefore, your answer is: n = 7
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?
0
9
12
16
Answer:
The graph y = 18x2 + mx + 2= 12
So the answer is 12
The value of m does the graph of y = 18 x² + m x + 2 have exactly one x-intercept is 12.
What is Intercept?The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
We have Equation.
y = 18 x² + m x + 2
Now, to find exactly one intercept we will use Discriminant Method as
D = m² - 4 x 18 x 2 = 0
m² - 144 = 0
m² = 144
m = -12 or m = 12
Thus, the required value of m is 12.
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 which equation represents the line that passes through the points (3, 7) and (-1, -1)?
points: (3, 7) and (-1, -1)
slope (m) :
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
========
[tex]\hookrightarrow \dfrac{-1-7}{-1-3}[/tex]
[tex]\hookrightarrow \dfrac{-8}{-4}[/tex]
[tex]\hookrightarrow 2[/tex]
Equation:
[tex]\sf y-y_1 = m(x-x_1)[/tex]
==============
[tex]\rightarrow \sf y-7 = 2(x-3)[/tex]
[tex]\rightarrow \sf y = 2x-6+7[/tex]
[tex]\rightarrow \sf y = 2x+1[/tex]
Answer:
[tex]y = 2x- 1[/tex]
Step-by-step explanation:
To determine which equation passes through the points (3, 7) and (-1, -1), we need to determine the slope of the equation. Then, we shall use point slope form to determine the equation of the line.
Determining the slope of the line:
[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run} } =\dfrac{\text{y}_{2} - \text{y}_{1} }{\text{x}_{2} - \text{x}_{1} }[/tex]
Substituting the points in the slope formula:
[tex]\text{Slope} =\dfrac{-1 - 7 }{-1- 3 }[/tex]
Simplifying the slope:
[tex]\text{Slope} =\dfrac{-1 - 7 }{-1- 3 }[/tex]
[tex]\text{Slope} =\dfrac{-8}{-4 } = 2[/tex]
Determining the equation of the line:
We shall use point slope form to determine the equation of the line.
[tex]\text{Point slope form:} \ y - y_{1} = m(x- x_{1} )[/tex]
Substitute the slope and the coordinates of any two points stated above.
[tex]y -7= 2(x- 3 ) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using the point (3,7)}][/tex]
Simplify the equation and organize it to slope intercept form:
[tex]y -7= 2x- 6[/tex]
[tex]y = 2x- 6 + 7[/tex]
[tex]y = 2x+ 1[/tex]
4. 10 Unit Test: Surface Area and Volume - Part 1
UNIT TEST:
Surface Area and Volume - Part 1
Which net represents this solid figure?
The shape represented by this solid figure attached is a triangular prism with two triangle base and three rectangular faces.
What is a solid figure?A solid figure is a three dimensional shape having length, width and height. Examples of solid figures are cylinders, cone, pyramid and prism.
The shape represented by this solid figure attached is a triangular prism with two triangle base and three rectangular faces.
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A box contains 6 red marbles, 4 blue marbles, and 8 yellow marbles.
13. Find P(yellow then red) if a marble is selected, and then a second marble
is selected without replacing the first marble.
Answer:
Step-by-step explanation:
The total number of marbles is 6 + 8 + 4 = 18]
If the first marble drawn is yellow, that happens with a probability of 8/18
So the important thing to note is that now there are 17 marbles,
Now a red marble is drawn. We didn't replace the yellow.
There are 6 red marbles.
So the chances of getting a red marble is 6/17
Answer. P(Y then R) = 8/18 * 6/17 = 48/306
48 / 306 reduces down to 8/51 = 0.156
A theater has 32 rows. The first row has 18 seats, second row has 21 seats, third row
has 24 seats, and so on. Determine the total number of seats in the theater.
Answer:
2064
Step-by-step explanation:
18 + 21 + 24 + ...
This is an arithmetic series with first term 18 and common difference 3.
The nth term is
18 + 3(n - 1)
The 32nd term is the number of seats in the 32nd row:
18 + 3(32 - 1) = 18 + 3(31) = 18 + 93 = 111
The sum of the series is:
n/2(a + L) = (32/2)(18 + 111) = 2064
Can someone please help me
Answer:
15
Step-by-step explanation:
f(X)= f(5)
meaning X= 5
x²-2x
5²-2(5) = 15
Anyone know how to answer this question? Need help quickly pls!!
Answer:
500miles
Step-by-step explanation:
use the Pythagorean theory
How to solve and what is the final answer to the question
Answer:
12
Step-by-step explanation:
Differentiate the equation. It will give you -1/6x + 2 = dy/dx.
Let dy/dx = 0 (you do this because the highest point is usually the turning point. The gradient is zero at the turning point, meaning that you'd have to set dy/dx to be zero to figure out the highest point).
Then rearrage for x
-1/6x+2=0
1/6x = 2
x = 12
Vertex: (-1,4) Point: (1,8)
Answer:
See below
Step-by-step explanation:
I assume you want the quadratic that has these values
Vertex form of this parabola
y = a(x- - 1)^2 + 4 insert the given point to calculate 'a'
8 = a (1 + 1)^2 + 4 shows a = 1
y = (x+1)^2 + 4 expand this vertex form to get the quadratic form
y = x^2 + 2x + 5
Put the polynomials in order from lowest degree to
highest degree
(Look at Photo)
Answer answer answer
Answer:
B which is b=4
Step-by-step explanation:
POSITIVE FOUR, just to be clear
Answer:
the answer is b
Step-by-step explanation:
Sara uses ribbon to make hair bows. The length of each ribbon Sara uses is represented by the line plot shown. What is the difference, in feet, between one of the pieces of ribbon that has the longest length and one of the pieces that has the shortest length?
Answer:
1
Step-by-step explanation:
because if you do 1 1/2 - 1/2 = 1
Which expressions are equivalent to
5^2
5^8
Planet XX is in a stable circular orbit around a star, as shown in the figure. Which of the following graphs best predicts the angular momentum of the planet as a function of its horizontal position from point AA to point BB if the planet is moving counterclockwise as viewed in the figure above?
Answer:
option c iscorrect
Step-by-step explanation:
Speed
|
|~~~~~~~~~~~~
|
|________________ position
find the angle between the pair of vectors to the nearest tenth of a degree
6i-4j, 2i-6j
[tex]~~~~~~~~~~~~\textit{angle between two vectors } \\\\ cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\underset{\textit{magnitude product}}{||u||~||v||}} \implies \measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right) \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} 6i-4j\\ 2i-6j \end{cases}\implies \stackrel{\qquad a~\hfill b\qquad }{\begin{array}{llll} < 6~~,~~-4 > \\ < 2~~,~~-6 > \end{array}}[/tex]
[tex]\stackrel{\textit{\Large dot product}}{ < 6~~,~~-4 > \cdot < 2~~,~~-6 > \implies (6\cdot 2)+(-4\cdot -6)}\implies 12+24\implies 36 \\\\\\ \stackrel{\textit{\Large magnitudes}}{|| < 6~~,~~-4 > ||\implies \sqrt{6^2+(-4)^2}\implies \sqrt{52}} \\\\\\ || < 2~~,~~-6 > ||\implies \sqrt{2^2+(-6)^2}\implies \sqrt{40} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{52}\cdot \sqrt{40}} \right)\implies \measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{52}\cdot \sqrt{40}} \right) \\\\\\ \measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{2080}} \right)\implies \measuredangle \theta \approx 37.9^o[/tex]