If and are the radi of two concentric circles and (r. > r.). If the chord
of the larger circle AB touches the inter circle. Find the value of AB
Answer:
r1 and r2 are the radii of two concentric circles
To find:
The length of the chord of the larger circle.
Solution:
We have given the two concentric circles which means both the circles have the same centre.
The chord of the larger circle toches the inner circle so the chord of the larger circle will be the tangent of the smaller circle.
And we know that the radius of the circle is perpendicular to the tangent of the circle.
Let 2x be the length of the chord of the circle.
r1 is the radius of the larger circle.
r2 is the radius of the smaller circle.
So by the Pythagoras theorem,
The length of the half of the chord is given by:
r1² = x² + r2²
x² = r1² - r2²
x = √r1² - r2²
So,
The length of the chord will be 2x = 2√r1² - r2² units
Step-by-step explanation:
The area of the square above is 36. What is the value of x?
A) 2
B) 4
C) 6
D) 9
I think it is A)2 because 3^2 = 9 and 9×4 = 36
Evaluate the expression 6x for x 6.
6x = blank when x=6
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
x = 6[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of 6x[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
~ Plug the value of x and then multiply !
⇾ [tex] \tt{6x = 6 \times 6 \times = \boxed{36}}[/tex]
[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \tt{36}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Can someone please help
Answer:
340
Step-by-step explanation:
Write the negation of each of the following logical expressions so that all negations immediately precede predicates. In some cases, it may be necessary to apply one or more laws of propositional logic.
a. ∃x ∀y(P(x,y) → Q(x,y))
b. ∃x ∀y(P(x,y) → P(y,x))
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Answer:
a. Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [P(x,y)] ∨ ∃x ∃y ¬ [Q(x,y)]
Step-by-step explanation:
a.∃x ∀y(P(x,y) → Q(x,y))
Negation = ¬ [ ∃x ∀y(P(x,y) → Q(x,y)) ]
= ∀x ¬ [ ∀y(P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ (P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ ¬P(x,y) ∨ Q(x,y) ]
= ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. ∃x ∀y(P(x,y) → P(y,x))
Negation = ¬ [ ∃x ∀y(P(x,y) → P(y,x)) ]
= ∀x ¬ [ ∀y(P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ (P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ ( P(x,y) ∧ P(y,x) ) ∨ ( ¬P(x,y) ∧ ¬P(y,x) )]
= ∀x ∃y ¬ [ P(x,y) ∧ P(y,x) ] ∧ ¬[ ¬P(x,y) ∧ ¬P(y,x) ]
= ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [ P(x,y) ∨ P(y,x) ]
∴ we get
Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Negation = ¬ [ ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) ]
= ¬ [ ∃x ∃y P(x,y) ] ∨ ¬ [ ∀x ∀y Q(x,y) ]
= ∀x¬ [ ∃y P(x,y) ] ∨ ∃x ¬ [ ∀y Q(x,y) ]
= ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
∴ we get
Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
Help! picture added Find the third side in simplest radical form:
8
V34
Answer:
[tex]7\sqrt{2}[/tex]
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + [tex](\sqrt{34} )^2[/tex] = 64 + 34 = 98 = c^2
c = [tex]\sqrt{98}[/tex] = [tex]7\sqrt{2}[/tex]
34.9 is the length of the third side needed
Step-by-step explanation:
a²+b²=c²
What shape is this cross-section?
Answer:
circle D
Step-by-step explanation:
Factor the expression. d2 + 10d + 25
Answer:
(d+5)^2
Step-by-step explanation:
what is (1/2) by the third power?
Answer:1/8
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
1/2 x 1/2 x 1/2 = 1/8
Find the area of the circle please
Answer:
A≈149.57
Step-by-step explanation:
Show all work for the following
Algebraically solve the following system of equations.
(x+2)2+(y-3)2=16
x+y-1=0
Answer:
[tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
Step-by-step explanation:
Given:
[tex](x+2)^2+(y-3)^2=16\\x+y-1=0[/tex]
To find: value of [tex]x,y[/tex]
Solution:
[tex](x+2)^2+(y-3)^2=16\,\,\,...(i)\\x+y-1=0\,\,\,(ii)[/tex]
From (ii),
[tex]x=1-y[/tex]
Put this value of [tex]x[/tex] in (i)
[tex](1-y+2)^2+(y-3)^2=16\\(3-y)^2+(y-3)^2=16\\(y-3)^2+(y-3)^2=16\\2(y-3)^2=16\\(y-3)^2=8[/tex]
[tex]y-3=[/tex] ± [tex]\sqrt{8}[/tex] = ± [tex]2\sqrt{2}[/tex]
[tex]y=3[/tex] ± [tex]2\sqrt{2}[/tex]
At [tex]y=3[/tex] + [tex]2\sqrt{2}[/tex] ,
[tex]x=1-(3+2\sqrt{2})=1-3-2\sqrt{2}=-2-2\sqrt{2}[/tex]
At [tex]y=3-2\sqrt{2}[/tex] ,
[tex]x=1-(3-2\sqrt{2})=1-3+2\sqrt{2}=-2+2\sqrt{2}[/tex]
Solutions are [tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
For this polynomial identify the coefficients and degree of each term.
Step-by-step explanation:
first term
degree 1
coefficient 4
second term
degree. 2
coefficient 8
third term
degree 3
coefficient -5
fourth term
degree 4
coefficient -5
fifth term
degree 0
coefficient -5
An inequality is shown below.
Which situation is best represented by the inequality?
Answer:
Option C is the correct answer.
Comment for explaination
What is the height of the cone below?
Answer:
Where's the cone at and I might be able to help
Step-by-step explanation:
Answer: Please put a picture of the cone underneath the question!
Step-by-step explanation:
solve fast please. its related to mathematics...
Answer:
The answer is 6
Step-by-step explanation:
[tex]\lim_{x \to 4} \frac{x^3 - 64}{x^2 - 16} \\\\= \lim_{x \to 4} \frac{x^3 - 64}{(x + 4)(x - 4)} \\\\=\lim_{x \to 4} \frac{(x^2 + 4x + 16)(x - 4)}{(x + 4)(x - 4)} \\\\= \lim_{x \to 4} \frac{(x^2 + 4x + 16)}{(x + 4)} \\\\= (16 + 16 + 16) / 8\\= 48 / 8\\= 6[/tex]
Jared sold 194 Boy Scout chocolate bars. Matthew sold three times as many as Jared. Gary sold 297 fewer than Matthew. How many bars did Gary sell
Answer: 285
Step-by-step explanation:
Jared = 194
Matthew=(194)(3)=582
Gary=582-297=285
Fewer means Substraction
Gary will sell 285 chocolate bars
In the graph above, what's the distance between (5, –2) and (5, 3)?
Answer:
5
Step-by-step explanation:
To find the distance between two points, subtract the two values and find the absolute value. So in this question, our equation would be |-2-3| which equals |-5| which then solves to 5.
9
Subtract the following polynomials: *
(1 Point)
(4x2 - 17x3 + 9) - (x² + 9x + 23x² + 11)
0 - 19.73 – 25x2 – 12x – 3
- 10.x3 – 162x2 – 24x - 4
-17x3 - 20x2 – 9x 2
-16x3 – 243x2 – 12x – 3
Step-by-step explanation:
1) Your problem → (4x^2 - 17x^3 + 9) - (x^2 + 9x + 23x^2 + 11)
(-17x^3+4x^2+9)-(x^2+23x^2+9x+11)
=-17x^3+4x^2+9-x^2-23x^2-9x-11
=-17x^3+4x^2-x^2-23x^2-9x+9-11
=-17x^3-20x^2-9x-2
2) Your problem → 0 - 19.73 - 25x^2 - 12x - 3
=0-19.73-25x2-12x-3
=-25x^2-12x-22.73
3) - 10.x^3 – 162x^2 – 24x - 4
4) Your problem → 17x^3 - 20x^2 - 9x^2
=17x^3-20x^2-9x^2
=17x^3-29x^2
5) -16x^3 – 243x^2 – 12x – 3
how many tims can 60 go into 72 pls help
Answer:
The answer is 1 time
Step-by-step explanation:
If you subtract 60 from 72 you come out with 12. Which is not enough for you to subtract 60 again so the answer is 1.
A recipe calls for 1/3 cup of sugar for every 1/2 cup of flour. In cups, how much sugar is needed per one cup of flour?
Answer:
1 equals two of 1/2 which means you get the equation 1/3 x 2 for the answer
please help. loll
which expression is equal to 1/3b-7?
1)1/3(b+21)
2)-1/3(b-21)
3)-1/3(b+21)
4)1/3(b-21)
Answer:
4 1/3(b-21) im pretty sure
HELP HELP HELP PLEASE!!!! Ryan sells beaded necklaces. Each large necklace sells for $4.10 and each small necklace sells for $3.80. How much will he earn from selling 1 large necklace and 5 small necklaces?
Answer:
23.10
Step-by-step explanation: Each large necklace is 4.10 There are only 1 largfe necklace he sold so we multiply 4.10 by 1 which is 4.10. A small necklace is 3.80 and he sold 5 of them so we multiply 5 by 3.80. 3.80 times 5 is 19. Then we add the large and small necklace product.
19+ 4.10=23.10
Answer:
23.1
Step-by-step explanation:
(4.10*1)+(3.80*5)
4.10*1=4.10
3.80*5=19
4.10+19=$23.1
solve for x x/12−1=−6
x=
Answer:
x=-5
Step-by-step explanation:
x/12-1=-6
12-1
x/11=-6
-11 -11
========
x=-5
Hope that helps
1) sin 102
in standard position
Answer:
What are you asking? Whats the problem?
Answer:
sin 102 cant be put into standard position its already in standard position if you want to covert to rectangular it would be sin (102).
Step-by-step explanation:
PLZ HELP want to know if its right
Answer:
60° is answer.it is right.thank you
Today is Friday. What day of the week is it 80 days from today?
Answer: Tuesday
April 20,2021
Is 1/2 equivalent to 7/12
Answer: No because 1/2 is equal to 6/12 because 1 x6=6 and 2x6 =12 which makes 1/2 equivalent to 6/12 not 7/12
Answer:
no this is false
Step-by-step explanation:
7 is not half of 12
Find the value of each variable so that the quadrilateral is a parallelogram.
(3y)
(8x-6)°
42°
y =
Evaluate the expression for m=4 n=5 p=-2
m^-n
Answer: 1/1024
Step-by-step explanation:
m^-n=4^(-5)
=1/(4^5)
=1/1024
Answer:
Equation :---
[tex] {m}^{ - n} [/tex]
where m=4, n=5 and p=-2
[tex] {4}^{ - 5} = \frac{1}{ {4}^{5} } = \frac{1}{1024} \\ [/tex]
1/1024 is the right answer.Write an equation in slope intercept form that is perpendicular to 3x + 2y equals 12 and passes through the point (1,2)
Answer:
The equation is y = (2/3)x + (4/3).
Step-by-step explanation:
First, you have to change the equation into slope-intecept formula to find its gradient (slope) :
[tex]3x + 2y = 12[/tex]
[tex]2y = - 3x + 12[/tex]
[tex]y = - \frac{3}{2}x + 6[/tex]
Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :
[tex]m1 \times m2 = - 1[/tex]
[tex] - \frac{3}{2} \times m2 = - 1[/tex]
[tex]m2 = - 1 \div - \frac{3}{2} [/tex]
[tex]m2 = \frac{2}{3} [/tex]
Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :
[tex]y = \frac{2}{3}x + b[/tex]
[tex]let \: x = 1,y = 2[/tex]
[tex]2 = \frac{2}{3} (1) + b[/tex]
[tex]b = 2 - \frac{2}{3} [/tex]
[tex]b = \frac{4}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]