Answers
Answer:
C. [tex] 9\pi [/tex]
Step-by-step explanation:
VU is tangent [tex] \odot W[/tex] at point U and WU is radius.
[tex] \therefore WU \perp VU[/tex]
[tex] \implies m\angle VUW=90\degree[/tex]
[tex] \therefore \triangle VUW[/tex] is right angle triangle.
WZ = WU = x - 1 (Radii of same circle)
WV = x - 1 + 2 = x + 1
By Pythagoras Theorem:
[tex] WU^2 + VU^2 = WV^2 [/tex]
[tex] (x-1)^2 +(2x-4) ^2 = (x+1)^2 [/tex]
[tex]x^2 -2x +1+ 4x^2 -16x + 16=x^2 +2x +1[/tex]
[tex]4x^2 -20x + 16=0[/tex]
[tex]x^2 -5x + 4=0[/tex]
[tex]x^2 -5x + 4=0[/tex]
Equating it with
[tex]ax^2 +bx +c=0[/tex]
We find:
a = 1, b = - 5, c = 4
[tex] b^2 - 4ac =(-5)^2 - 4(1)(4)= 25-16 =9[/tex]
[tex] x=\frac{-b\pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x=\frac{-(-5)\pm \sqrt{9}}{2\times 1} [/tex]
[tex] x=\frac{5\pm 3}{2} [/tex]
[tex] x=\frac{5+3}{2}, \: x =\frac{5-3}{2} [/tex]
[tex] x=\frac{8}{2}, \: x =\frac{2}{2} [/tex]
[tex] x=4, \: x =1 [/tex]
When x = 4, radius (r) = 4 - 1 = 3
When x = 1, radius (r) = 1 - 1 = 0, which is not possible.
Area of [tex] \odot W [/tex]
[tex] =\pi r^2 [/tex]
[tex] =\pi (3)^2 [/tex]
[tex] =9\pi [/tex]
Related Questions
does anyone know how tj do this (trig)
Answers
Answer:
x = 5
Step-by-step explanation:
NOTE: THE 2 SIDES ARE THE SAME LENGTH
THEY HAVE TO BE SMALLER THEN 10
So 10/2 = 5
x = 5
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Graph linear equation y = x divided by 3
Answers
Answer:
1/3
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
I used desmos.
. Write an equation of the line that passes through the given points use point
slope formula. (2, 1), (5,2)
Answers
Answer:
[tex]y = \frac{1}{3}x+\frac{1}{3}[/tex]
Step-by-step explanation:
First, we need to figure out a linear equation. When given two points - [tex](x_{1}, y_{1})[/tex]and [tex](x_{2}, y_{2})[/tex] - first subtract [tex]y_{1}[/tex] from [tex]y_{2}[/tex] and and [tex]x_{1}[/tex] from [tex]x_{2}[/tex]. So in your situation, it will be [tex]2-1[/tex] and [tex]5-2[/tex]. That equals [tex]1[/tex] and [tex]3[/tex], so your slope (how much the line moves up/down per unit) will be [tex]\frac{1}{3} x[/tex].
Next, we need to find the y-intercept. To solve using point-slope form, we will plug our numbers in:
[tex]y-y_{1} = m(x-x_{1})\\y-1=\frac{1}{3}(x-2)\\y-1=\frac{1}{3}x-\frac{2}{3}\\/+1=//+1\\y = \frac{1}{3}x+\frac{1}{3}[/tex]
So our final equation is [tex]y = \frac{1}{3}x+\frac{1}{3}[/tex], which passes through both [tex](2,1)[/tex] and [tex](5,2)[/tex]. Hope this helps :)
12. If DH = HE, MBG = (9x – 20) and
MGC = (5x + 28), find mAB.
Answers
Answer:
176degrees
Step-by-step explanation:
Find the diagram attached. From the diagram;
arcGC = = arc BG
5x + 28 = 9x - 20
5x - 9x = -20 28
-4x = -48
x = -48/-4
x = 12
Get <AB
Since <AB = <BC
<BC = arcGC +arc BG
<AB = arcGC+ arc BG
<AB = 5x + 28 + 9x - 20
<AB = 14x + 8
<AB = 14(12) + 8
<AB = 168 + 8
<AB = 176degrees
Hence the arc AB is 176degrees
Please help I did it wrong can you help me please???? I will give you 10 points
Answers
Answer:
102 x 5 = 100 x 5 = 500
00 x 5 = 0
+ 2 x 5 = 10
-------------------------------------------
510
A store bought a tv for $80 and plans on marking it up BY 285% to sell in the store. What is the price of the tv in the store? *
$365
$228
$338
$308
Answers
Answer:
338
Step-by-step explanation:
I think
Guys please help me out I hate gradpoint so much
Answers
Answer:
1 + 1 - 1 + 1 - 0 x 0
Answer:
-3.5 < -3[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Convert 1/4 into a decimal (.25)
-3 1/4 = -3.25
-3.5 < -3.25
What is the median of the following data set? {5, 2, 9, 7, 4} (1 point) 5 7 8 9
Answers
Answer:
5
Step-by-step explanation:
Data : 2, 4, 5, 7, 9
median = middle
5number
Answer:
5 is the answer hope the helped:)
Step-by-step explanation:
what is the base of 3^x=8
Answers
Answer:
3
Step-by-step explanation:
Jennifer drew the graph of f(x) = 2x2 + 4x.
Matt drew the graph of f(x) = 2(x + 1)2 on the same coordinate plane.
Compare the graphs that Jennifer and Matt drew by completing the statements.
Jennifer’s graph is vertically shifted
from Matt’s graph.
Jennifer’s graph is horizontally shifted
from Matt’s graph.
Jennifer’s graph is
Matt’s graph.
Which graph has a vertex that is a maximum?
Answers
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Answer:
(a) Jennifer’s graph is vertically shifted from Matt’s graph.
neither graph has a maximum
Step-by-step explanation:
Jennifer's equation can be put into vertex form as ...
f(x) = 2(x^2 +2x +1) -2
f(x) = 2(x +1)^2 -2 . . . . . . vertex at (-1, -2)
Compared to Matt's graph, Jennifer's will be shifted down 2 units.
__
Both graphs open upward, so the vertices are minimums. Neither graph has a vertex that is a maximum. (The vertex on Matt's graph is the maximum of the two vertices.)
Answer:
Compare the graphs that Jennifer and Matt drew by completing the statements.
* ) Jennifer’s graph is vertically shifted
2 units down
from Matt’s graph.
** ) Jennifer’s graph is horizontally shifted
0 units left or right
from Matt’s graph.
*** ) Jennifer’s graph is
the same shape as
Matt’s graph.
**** ) Which graph has a vertex that is a maximum?
Neither Jennifer’s nor Matt’s
Step-by-step explanation:
CORRECT on EDGE November 2021
PLZ ANSWER THIS QUESTIONNNN!!!
Answers
Answer:
C
Step-by-step explanation:
180 - 55 = 125
Why 180?
Because 180 is a fixed degree for one straight line
A saleswoman earns 7% commission on all the merchandise that she sells. Last month she sold $8,000 worth of merchandise. How much commission (in dollars) did she earn last month?
Answers
Answer:
560
Step-by-step explanation:
8000x.07
what is the value of a + bc when a=7, b = 4 and c = 1/2
Answers
7 + 4(0.5) = 7 + 2 = 9
Find the solutions to the equation below.
Check all that apply.
x² - 4=0
A. X=2
B. x = -1
C. x = 1
.
D. X = -2
E. X = 4
F. X = -4
Answers
Answer:
Not 100% sure but I'd say that the answers are possibly, 'A. X=2 or D. X=-2'.
Tonysha has two bags. Each bag has three objects in it. The first bag has one dime, one nickel, and one penny. The second bag has one red button, one blue button, and on yellow button. Tonysha picks one object from each bag. how many possible combinations of two objects can she pick?
Answers
Answer:
6
Step-by-step explanation:
Tell me if I'm right
Answer:
18
Step-by-step explanation:
3 choices from each bag.
3 * 3
Now you have to allow for which bag is chosen first. The order matters.
dime yellow button is different from
yellow button dime
So the answer is 2 * 3 * 3 = 18
Which statements mean the same as twelve months same as cash?
Choose all correct answers.
The purchase has to be paid for in cash.
It has to be paid in 12 months.
It it takes longer than 12 months to pay, a finance charge has to be paid.
Nothing has to be paid until month 12.
Answers
Answer:
It has to be paid in 12 months.
Nothing has to be paid until month 12.
It it takes longer than 12 months to pay, a finance charge has to be paid.
Are all the correct answers
Step-by-step explanation:
The statements that mean the same as twelve months same as cash are:
It it takes longer than 12 months to pay, a finance charge has to be paid.Nothing has to be paid until month 12.What does x time same as cash mean?"x time same as cash" means that you got x time to pay the cash without any additional cost. If you take more time than x time to pay the due amount, then you would have to pay extra.
Example: 5 months same as cash means you can pay the due cash amount without any additional fine. If you take more than 5 months to pay the amount, then additional payment would be charged.
Thus, the statements that mean the same as twelve months same as cash are:
It it takes longer than 12 months to pay, a finance charge has to be paid.Nothing has to be paid until month 12.Learn more about interests here:
https://brainly.com/question/5319581
Round to the nearest hundredth if necessary.
Answers
Step-by-step explanation:
2/30 = .07 = 7%
2 is number of kids who studied and failed 30 is the kids on the whole class
ABC is translated 4 units to the left and 8 units up, then reflected across the y-axis. Answer the questions to find the coordinates of A after the transformations.
2. After the Translations, where is A located?
4. What are the coordinates of A after the reflection?
5. After the two transformations, has A returned to its original location?
Answers
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Answer:
2. A'(3, 13)
4. A''(-3, 13)
5. No
Step-by-step explanation:
2. The translation is represented by the transformation ...
(x, y) ⇒ (x-4, y+8)
A(7, 5) ⇒ A'(7-4, 5+8) = A'(3, 13)
__
4. The reflection is represented by the transformation ...
(x, y) ⇒ (-x, y)
A'(3, 13) ⇒ A''(-3, 13)
__
5. No. The location (-3, 13) is not the same as the original location (7, 5).
3/4 divided by 12 help please
Answers
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
Answer:
1/16
Step-by-step explanation:
Anytime you divide fractions by whole numbers, remember this:
Same, change, reciprocal (flip)
In the equation:
3/4 / 12
KEEP 3/4 as it is.
CHANGE the division sign to a multiplication sign.
FLIP 12/1 to 1/12.
The final equation: 3/4 x 1/12
3/4 x 1/12 = 3/48
3/48 simplified: 1/16
Therefore, 3/4 / 12 = 1/16
Answer choices are
A. 119
B. 21
C. 39
D. 40
Answers
Btw don’t open the guy from above they track you
6x2y − 3xy − 24xy2 + 12y2
Factor the entire expression completely (without GCF). Show the steps of your work. (6 points)
Will give brainliest.
Answers
Answer:
[tex]=-39xy+24y[/tex]
Step-by-step explanation:
[tex]\mathrm{Multiply\:the\:numbers:}\:6\cdot \:2=12[/tex]
[tex]=12xy-3xy-24\cdot \:2xy+12\cdot \:2y\\\mathrm{Multiply\:the\:numbers:}\:24\cdot \:2=48\\=12xy-3xy-48xy+12\cdot \:2y\\\mathrm{Multiply\:the\:numbers:}\:12\cdot \:2=24\\=12xy-3xy-48xy+24y\\\mathrm{Add\:similar\:elements:}\:12xy-3xy-48xy=-39xy\\=-39xy+24y[/tex]
Is it possible to have more than one arithmetic series with four terms whose sum is 44? Explain.
Answers
Answer:
Yes it is.
Step-by-step explanation:
Let the AP be a, a+d, a+2d, a+3d and so on, then
4a + 6d = 44 which gives
a = (22–3d)/2 = 11 -1.5d
Assume that the AP has n terms, then nth term is given as :
a + (n-1)d = 11 - 1.5d + (n-1)d = 11 - (n-2.5)d
The second equation then becomes:
(11 - 1.5d)(n-2.5d) = 140
which simplifies to
42n -110d - 6nd + 15d^2 = 560 or put simply
6n = 15d -5 - (5 * 7 * 17)/(d-7)
As n is an integer, so must be 6n and therefore so must be (5*7*17)/(d-7) which means d = 12, 14 or 24
which gives 6n = 56, 120 and 320 respectively.
Again as n is an integer, the only possible answer is n = 20, which occurs when d = 14 and a is -10 which gives us the series -10, 4, 18, 32 .. 256
The terms be a-3d,a-d, a+d,a+3d
Sum = 4*a = 44.
a = 11;
Product
( a-3d)(a+3d) = 140
11*11- 9*d*d = 140
d*d = - 19/9.
Negative. No real common difference.
The meaning of ‘ extreme' is important.
The AP has more than four terms.
a,a+d,a+2d,a+3d,….,a+(n-1)d.
Sum condition
4a + 6d = 44
2a + 3d = 11 eqn-1
Answer:
Yes, look at the picture I attached for explanation
Step-by-step explanation:
I’ll give points and brainalist for correct answer, please just answer and don’t be a troll (:
Answers
Answer:
The answer is 0 though im not sure if its not 0 then its 5
Step-by-step explanation:
Answer:
C. 5 min
Step-by-step explanation:
have a good day! :)
use all the tools you have to find the perimeter and area of each shape below
Answers
Answer:
Step-by-step explanation:
1)
Area) = area of square + area of triangle
square = 6*6 = 36
area of equilateral triangle = ([tex]\sqrt{3}[/tex] / 4) *a^2 = 31.1759
total area = 36 + 31.1759 = 67.1769[tex]in^{2}[/tex]
Perimeter) 6*5 = 30 "
2)
Area) = upper triangle + lower square
6*[tex]\sqrt{2}[/tex] *sin(45) = 6 cm ( each side is 6)
upper triangle = 1/2*6*6 = 18
lower square = 6*6=36
total area = 38 + 18 = 56 [tex]cm^{2}[/tex]
perimeter = 4*6+6*[tex]\sqrt{2}[/tex] = 32.4852 cm
3)
Area) = left triangle + right rectangle
left triangle = 1/2*3*4 = 6 ( this is the famous 3,4,5 triangle )
rectangle = 8*3 = 24
total area = 24+6=30 [tex]ft^{2}[/tex]
perimeter = 8+5+3+8+3= 27'
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Answer:
area: 51.59 in²; perimeter: 30 inarea: 54 cm²; perimeter: 32.49 cmarea: 30 ft²; perimeter: 28 ftStep-by-step explanation:
1. The figure can be decomposed into a square and an equilateral triangle. Both have the same side length: 6 in. For an equilateral triangle of side length s, the area is ...
A = (√3)/4·s²
For a square with side length s, the area is ...
A = s²
The total of the two areas is ...
A = ((√3)/4 + 1)s² ≈ 1.433013×(6 in)²
A ≈ 51.59 in²
__
The perimeter is the sum of the 5 equal side lengths:
P = 5(6 in)
P = 30 in
__
2. The hypotenuse of the isosceles right triangle at the top of the figure tells you the side length of the triangle is (6√2)/√2 = 6 cm. The area of the triangle is half that of the square below it, so the total area is ...
A = (1 +1/2)(6 cm)²
A = 54 cm²
__
The perimeter is the equivalent of 4 sides of 6 cm and one of 6√2 cm, so is ...
P = (4 +√2)(6 cm)
P ≈ 32.49 cm
__
3. The triangle at the left end of the figure has a hypotenuse of 5 and a height of 3. It is recognizable as a 3-4-5 right triangle, so the bottom leg of it is 4 ft long. That makes the bottom side of the trapezoid have a length of 8+4 = 12 ft.
The area of the trapezoid is ...
A = 1/2(b1 +b2)h
A = (1/2)(12 ft +8 ft)(3 ft)
A = 30 ft²
__
The perimeter is the sum of the side lengths. Starting at left and working clockwise, that sum is ...
P = (5 + 8 + 3 + 12) ft
P = 28 ft
Which gives all the solutions of the equation x2 - 2x + 1 = 02
O A. 1 only
OB. -1 and 1
O C. O and 1
D. - 1 only
O E
I and 2
Answers
Answer:
one only which is A. aaaa
please help me with this i really need help
Answers
Answer:
70%
Step-by-step explanation:
The number of students with an April birthday and candles is in the upper left, 14. That’s the “part” Percentage is part/whole x 100.
To figure out the “whole”, you need to add up all the students in the first row of the table, because those are the April birthdays. 14 + 6 = 20
14/20 = 0.7 x 100 = 70%
The variables x and y vary inversely, and y=6 when x=2. Write an equation that relates x and y. Then find y when x = 3
Answers
Answer:
[tex]y = \frac{12}{x} [/tex]
y= 4
Step-by-step explanation:
Since x and y are inversely proportional to each other,
[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]
Let's find the value of k.
When y= 6, x= 2,
[tex]6 = \frac{k}{2} [/tex]
k= 6(2)
k= 12 (×2 on both sides)
Substitute the value of k back into the equation:
[tex]y = \frac{12}{x} [/tex]
When x=3,
[tex]y = \frac{12}{3} [/tex]
y= 4
Animal shelter has a ratio of cats to dogs that is learning to seven parts all it’s a shelter only house is dogs and cat what is the ratio of jobs to total animals
Answers
the ratio of dogs to total animals is 7:16
What is the absolute deviation for 62 in the data set?
{80, 75, 25, 62, 68}
A. 0
B. 5
C. 6
D. 62
Answers
What is the quotient of the division below?
612 divided by 9 =
Answers
Answer:
68
Step-by-step explanation:
Answer:
68
Step-by-step explanation: