If the diameter of a circle is increased by 6 cm, what is the increase in the circumference of the circle?
A. 6 cm

Answer:

look at the picture i have sent

In the right ABC above, the length of the side BC is 4.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

Given;

Side BA= [tex]\sqrt{11}[/tex]

Side AC= [tex]\sqrt{5}[/tex]

BC^2=BA^2+AC^2

BC^2= ([tex]\sqrt{11}[/tex])^2 +([tex]\sqrt{5}[/tex])^2

BC^2= 11+5

BC^2= 16

BC= 4

Therefore, the Pythagoras theorem gives answer 4

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

Answer:

61 degrees

Step-by-step explanation:

TRUST ME I JUST DID THE IMAGINE MATH LESSON. !!!!

The measure of ∠XYZ in right triangle is 90 degrees.

It has two equal sides, and those two equal sides make 90 degrees (right angle) internally. An isosceles triangle has two of its side length of same measure.

Let the considered isosceles triangle has two same lengthed sides of 'a' units.

Let its third side be of 'b' units.

Then, if we drop a perpendicular from the vertex joining similar sides to the opposite side, the opposite side is cut in half, each of length b/2 units.

We are given that;

A right triangle △WXY and △WZY

Now,

Let's label ∠WZY as α, so we have:

∠WZY = α

∠WYZ = α

Since the sum of the angles in a triangle is 180 degrees, we can find ∠WYX of △WXY:

∠WYX = 90 - ∠WXY

Now, we can use the fact that ∠WXY and ∠XYZ are complementary angles of a right triangle, so:

∠WXY + ∠XYZ = 90

Substituting ∠WYX for ∠WXY, we get:

∠WYX + ∠XYZ = 90

90 - ∠WXY + ∠XYZ = 90

∠XYZ = ∠WXY

Therefore, we can conclude that ∠XYZ is equal to ∠WYX, which is the angle opposite to the hypotenuse in a right triangle. So, we have:

∠XYZ = 90 degrees

Hence, in the given right triangle answer will be 90 degrees.

Learn  more about isosceles right angled triangle here:

https://brainly.com/question/27190025

#SPJ3

Answer:

4

Step-by-step explanation:

i did the math but i did the math but i dont wanna type it all out  

Answer:

d = √(x2 - x2)^2 + (y2 - y1)^2 + (z2 - z1)^2

P1(0, 0, 0) P2(-9, 6, -4)

Substitute the values in the above equation and you will get

d = √(-9)^2 + (6)^2 + (-4)^2

= √(81 + 36 + 16)

= √133

= 11.53

Answer:

The answer is 11.53

Answer:

I'm going to say 24. I'm 97% sure I'm correct

Answer:

negative square root will result in zero x-intercepts

Step-by-step explanation:

there are no x-intercepts because if you use the quadratic formula on the equation you get a negative square root which results in zero x-intercepts

in this case, a=-1, b=4, c=-12

[-4±√4² - 4(-1)(-12)] / 2(-1)

= [-4 ± √16-48] / -2

= -4 ± √-32 / -2

Answer:

lol i need help on that 2

Step-by-step explanation:

Answer:

The range is {5,2,1,10}

Step-by-step explanation:

If the domain is {-2,-1,0,1,3} then plug those values in for x in the equation of f(x). To start you would get f(x)=(-2)^2+1, which is 5, and then keep solving those respective equations.

Answer:

Percentage of water consumed = 20 %

Equivalent amount of water to 100 ounces = 20 ounces

Step-by-step explanation:

The total amount of water consumed by her daily = 70 ounces

The total amount of water consumed by her before ride = 14 ounces

Percentage of water consumed = total amount of water consumed by her before ride /total amount of water consumed by her daily * 100

Substituting the given values we get

[tex]\frac{14}{70} * 100\\\frac{100}{5} \\20[/tex]%

Equivalent amount of water to 100 ounces = 20 ounces

Answer:

Step-by-step explanation:

Answer:

16 books

Step-by-step explanation:

100÷25=4

4×4=16

Answer:

Step-by-step explanation:

The answer is c

Answer:

C

Step-by-step explanation:

The mix fraction as an improper fraction is 11/7.

We have,

Mix fraction:

1(4/7)

This can be simplified as an improper fraction:

= {(7 x 1) + 4} / 7

= (7+ 4) / 7

= 11/7

Thus,

The mix fraction as an improper fraction is 11/7.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ6

Answer:

The slope is 1 I believe.

Answer:

The Slope is 1

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

1

1

= 1

θ =  

arctan( ΔY )

ΔX

= 45° =  

1

4

π

ΔX = 7 – -3 = 10

ΔY = 6 – -4 = 10

Distance (d) = √ΔX2 + ΔY2 = √200 = 14.142135623731

Equation of the line:

y = x – 1

When x=0, y = -1

When y=0, x = 1

Answer:

hey your answer would be   3x • (2x2 - 1)

please tell me if im wrong

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3*3 =9

9*9*9*9= 6561

6561*6561*6561*6561=282429536481

Therefore is equal to 81^6 because 81*81*81*81*81*81= 282429536481

Answer:

x-intercept(s):   ( 7/ 2 , 0 )

y-intercept(s):   ( 0 , 7 )

Step-by-step explanation:

Answer:

y = 7, x = 7/2

Step-by-step explanation:

y - intercept = 7

x - intercept = 7/2

Explanation:

This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries.  The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.

Notes:

The value of x', the image point with respect to an axis rotated 60 is 3/2 + 4√3

The point is given as:

(x, y) = (3, 8)

The angle of rotation is given as:

θ = 60

The image of rotation is calculated using:

x = x'cosθ - y'sinθ

y = x'sinθ + y'cosθ

So, we have:

3 = x'cos(60) - y'sin(60)

8 = x'sin(60) + y'cos(60)

Evaluate cos(60) and sin(60)

3 = 1/2x' - y'√3/2

8 = x'√3/2 + 1/2y'

Multiply the second equation by √3

8√3 = 3/2x' + √3/2y'

Add this equation and the first equation to eliminate y'

3 + 8√3 = 1/2x' + 3/2x'

Evaluate the sum

3 + 8√3 = 2x'

Divide through by 2

x' = 3/2 + 4√3

Hence, the value of x' is 3/2 + 4√3

Read more about rotation at:

https://brainly.com/question/16691874

#SPJ1

Answer:

It should be the first one

Step-by-step explanation:

since positive ten would represent going further up and negative ten going further down, the diver would be within ten feet of her current position

Answer:

A) -30 - x = 10 and -30 - x = –10

Step-by-step explanation:

Part 1:

1) Isolate the variable x

-30 - x = 10

-x = 40

2) Multiply both sides by -1

x = -40

Therefore -30 - x = 10 is correct

Part 2:

1) Isolate the variable x

-30 - x = –10

-x = 20

2) Multiply both sides by -1

x = -20

Therefore -30 - x = –10 is also correct

Final Answer: -30 - x = 10 and -30 - x = –10

Answer: 72

Step-by-step explanation:

30+48=78

√78^2-30^2=

√5184=

72

If AO = 30, BC = 48 then, AB = 72.

"Tangent to a circle is the line that touches the circle at only one point."

"A tangent to a circle is always perpendicular to the radius of a circle."

For given question,

AB is tangent to circle.

Also, AO = 30, BC = 48

From figure, we can observe that,

AO = CO                            .......................(radius of circle)

⇒OC = 48

Also,

OB = OC + BC

⇒ OB = 30 + 48

⇒ OB = 78

We know, a tangent to a circle is always perpendicular to the radius of a circle.

⇒ AB ⊥ AO

This means, ΔAOB is right triangle.

Using Pythagoras theorem to right triangle AOB,

⇒ [tex](OB)^{2} = (AO)^{2} + (AB)^{2}[/tex]

⇒ [tex](AB)^2 = (OB)^{2} - (AO)^{2}[/tex]

⇒ [tex](AB)^2=(78)^2-(30)^2[/tex]

⇒ [tex](AB)^2=5184[/tex]

⇒ [tex]AB=\sqrt{5184}[/tex]

⇒ [tex]\bold{AB=72}[/tex]

Therefore, option (D) is the correct answer.

Learn more about tangent to a circle here:

https://brainly.com/question/23265136

#SPJ2

Answer:

C. The scale factor is less than one.

Step-by-step explanation:

By definition, similar triangles have equal angles and proportional corresponding side lengths. Thus, A, B, and D are all mutually exclusive, leaving C the only possible answer. Upon further inspection, the scale factor is indeed greater than one (each side length is scaled by a factor of two, which is large than one)

Answer: 12

Step-by-step explanation:

There are 12 different combinations

If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once

Answer:

5. a = 4

7. x = -8

9. x = -1

11. p = 1.1

13. x = -1

15. x = -4

Step-by-step explanation:

2.9a = 11.6

2.9a/2.9 = 11.6/2.9

a = 4

-3.7x = 29.6

-3.7x/-3.7 = 29.6/-3.7

x = -8

(x-5)(-3) = 18

(x-5)(-3)/-3 = 18/-3

x-5 = -6

x-5+5 = -6+5

x = -1

3.6 = -2p+5.8

3.6-5.8 = -2p+5.8-5.8

-2.2 = -2p

-2.2/-2 = -2p/-2

1.1 = p

2x+6 = -4x

2x+6-6 = -4x-6

2x = -4x-6

2x+4x = -4x-6+4x

6x = -6

6x/6 = -6/6

x = -1

21-6x = -11-14x

21-6x-21 = -11-14x-21

-6x = -14x-32

-6x+14x = -14x-32+14x

8x = -32

8x/8 = -32/8

x = -4

Answer:

5.) a= 4

7.) x= -8

9.)x= -1

11.) p= 1.1

13.) x= -1

15.) x= -4

Step-by-step explanation:

5.) divide 11.6 by 2.9a

7.)divide 29.6 by -3.7u

9.) Divide by sides by -3. simplify. Add 5 to both sides. then simplify again x= -1

11.) subtract 5.8 from 3.6 . you're left with -2p=-2.2 divide both sides by -2. you get p=1.1

13.)Subtract 6 from both sides. You get 2x= -4x-6. Add 4x to both sides. then divide -6 by 6 you get x=-1

15.) Simplify both sides of the equation, so add 14x to -6x +21 side, you get 8x= -32 then divide -32 by 8x you get -4

Answer:

a. 10√2

Step-by-step explanation:

hey, just use Pythagoras theorem

h²=p²+b²=10²+10²=100+100=200

h²=200, h= √200 =√(100×2)=√100×√2=10√2

Answer:

There are 36 cards

Step-by-step explanation:

let blue be B and red be R

B:R =5:7

B/R = 5/7

there are 15 blue cards...

15/R = 5/7

make R subject of the formula...

R = (15×7)/5

R = 21

there are 21 red cards and 15 blue cards

Total number of cards = red cards + blue cards

= 21 + 15

= 36 cards

Answer:

P(B,R) = 24.490%

Step-by-step explanation:

P(B,R) = 6/14 x 8/14 which can be simplified to become 12/49 or 24.490%