Task: Task 2 - Circles
Instructions
Given circle Q with radius 10 units and measure of arc ABC = 225°
Round answers to the nearest tenth.
225
В.
10
A
If you double the radius of circle Q, what happens to the area of the sector? Justify your answer

Answer:

3

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

Answer:

3

Step-by-step explanation:

Mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given the mean of 6 numbers is 10, then

[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )

sum = 60

When another number x is added then count is 7

[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )

60 + x = 63 ( subtract 60 from both sides )

x = 3 ← the number added

Answer:

6.

Step-by-step explanation:

626×10−34

Answer:

h= 5.7

Step-by-step explanation:

trust me pls ill show work if u need me to

Answer:

61°

Step-by-step explanation:

[tex]9x+7=13x-17[/tex], QO Bisector

[tex]x=6\\[/tex], Algebra

[tex]m<POQ = 60[/tex], Algebra/Sub

Answer:

G(x) = (x^2 +2)

Step-by-step explanation:

The graph moved to the left 2 units, therefor that is the equation :)

The equation of the blue graph will be G(x) = (x² +2).

In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is a polynomial function defined by a quadratic polynomial.

A parabola is the shape of a quadratic function's graph. The "width" or "steepness" of a parabola can vary and it can expand upward or downward.

The given equation of the red graph is,

F(x) = x²

The graph moved to the left 2 units, hence the equation can  be written as,

G(x) = F(x) + 2

G(x) = x² + 2

To know more about quadratic function follow

https://brainly.com/question/25841119

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Answer:

20 cm

Step-by-step explanation:

Given that :

P = 1/25 r²h

P = price = 240 ; h = height = 15cm

Inputting values into the equation :

240 = 1/25 * r² * 15

25 * 240 = 15r²

6000 = 15r²

6000 / 15 = r²

400 = r²

Square root of both sides

20 = r

Radius = 20cm

Answer:

-x/x^2-1

Step-by-step explanation:

-x^2+x/x^3-x^2-x+1

x(-x+1)/(x+1)(x-1)(x-1)

-x/x^2-1

Answer:

x = 145°

Step-by-step explanation:

We know that y = 98°, so we can find ∠DBC:

180°-y = ∠DBC

180°-98° = 82°

We also know that z = 63°, therefore we can apply exterior angle of triangles to find x.

∠DBC + z = x

82°+63° = x

x = 145°

Answer:

16000 grams

Step-by-step explanation:

9(1000) + 7(1000) = 16000

Answer:

look at s d g

Step-by-step explanation:

Given:

A triangle ABC.

The given expression for b is:

[tex]b=\sqrt{m+n-pq}[/tex]

To find:

The expression that is equivalent to b.

Solution:

According to the Law of Cosines,

[tex]b^2=a^2+c^2-2ac\cos B[/tex]

It can be written as:

[tex]b=\sqrt{a^2+c^2-2ac\cos B}[/tex]              ...(i)

We have,

[tex]b=\sqrt{m+n-pq}[/tex]                                ...(ii)

On comparing (i) and (ii), we get

[tex]m=a^2[/tex]

[tex]n=c^2[/tex]

[tex]p=2ac[/tex]

[tex]q=\cos B[/tex]

Therefore, the required values are [tex]m=a^2,n=c^2,p=2ac,q=\cos B[/tex].

Answer:

125x^3 cm^3

Step-by-step explanation:

The volume of a cube of side length s is V = s^3.

If the side length is 5x cm, then V = (5x cm)^3 = 125x^3 cm^3

Answer:

[tex]y = 30x+290[/tex]

Step-by-step explanation:

Given

[tex]y=-x^2+65x+256[/tex]

Required

The linear function of a competitor's website

On day 1, both websites have the same subscribers.

This implies that:

[tex]y=-x^2+65x+256[/tex]

Substitute: [tex]x =1[/tex]

[tex]y=-(1)^2+65*1+256[/tex]

[tex]y=-1+65+256[/tex]

[tex]y=320[/tex]

This implies:

[tex](x_1,y_1) = (1,320)[/tex]

On day 34, both websites have the same subscribers.

This implies that:

[tex]y=-x^2+65x+256[/tex]

Substitute: [tex]x =34[/tex]

[tex]y=-(34)^2+65*34+256[/tex]

[tex]y=-1156+2210+256[/tex]

[tex]y=1310[/tex]

This implies:

[tex](x_2,y_2) = (34,1310)[/tex]

To calculate the linear function of the competitor, we have:

[tex](x_1,y_1) = (1,320)[/tex]

[tex](x_2,y_2) = (34,1310)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{1310 - 320}{34-1}[/tex]

[tex]m = \frac{990}{33}[/tex]

[tex]m = 30[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 30 * (x - 1) + 320[/tex]

Open bracket

[tex]y = 30x - 30 + 320[/tex]

[tex]y = 30x+290[/tex] --- This represents the linear function of the competitor's website

The  linear function of the competitor's website is represented by y=30x-290.

We have given that,the function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website launched.

We have to find the linear function of a competitor's website.

For the day 1, both websites have the same subscribers.

This implies that

[tex]y=-x^2+65x+256[/tex]

x represent the value of day

so plug x=1 we get

[tex]y=(-1)^2+65+256[/tex]

[tex]y=-1+65+256\\y=320[/tex]

Therefore we get the point

[tex](x_1,y_1)=(1,320)[/tex]

On day 34, both websites have the same subscribers.

[tex]y=-x^2+65x+256[/tex]

x=34

[tex]y=-(34)^2+65\times 34+256[/tex]

[tex]y=-1156+2210+256\\y=1310[/tex]

[tex](x_2,y_2)=(34,1310)[/tex]

[tex](y_2-y_1)=m(x_2-x_1)[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{1310-320}{34-1} \\m=\frac{990}{33} \\m=30[/tex]

Now slope point form is

[tex]y-y_1=m(x-x_1)[/tex]

Theefore we get

[tex]y=30(x-1)+320[/tex]

[tex]y=30x-290[/tex]

Therefore, the linear function of the competitor's website is represented by y=30x-290.

To learn more about the linear model visit:

https://brainly.com/question/25987747

Answer:

[tex]\huge\boxed{a\in\mathbb{R}}[/tex]

Step-by-step explanation:

[tex]1\times(a+3)=a+3\\\\a+3=a+3\\\\a-a+3=a-a+3\\\\3=3\qquad\bold{TRUE}[/tex]

Answer:

See the Image below:)

ITS TRUE

SOLUTION ALL REAL NUMBERS

Step-by-step explanation:

Answer:

7 is the correct answer. brainliest plese

Answer: x=7

4,7=28

28-10 =

18

THIS IS RIGT I PROMIS

or to do it yourself do

10 plus 18

then divide it by 4

Answer:

6 1/5

Step-by-step explanation:

six and one fifth girl no cap

and that's on mary had a lil lamb

Answer:

[tex]51 \frac{1}{5} ~ laps[/tex]

Step-by-step explanation:

[tex]\frac{laps}{hours} =\frac{x}{1}=\frac{12\frac{4}{5} }{\frac{1}{4} }[/tex]

[tex]x=\frac{\frac{64}{5} }{\frac{1}{4} }[/tex]

[tex]x=\frac{64}{5}*\frac{4}{1}[/tex]

[tex]x=\frac{256}{5} =5 \frac{1}{5}[/tex]

------------------------------

hope it helps..

have a great day!!

Given:

A right angle triangle with legs x and 10.

The angle opposite to the side with measure 10 is 33 degrees.

To find:

The value of x.

Solution:

We know that, in a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the given triangle,

[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]

[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]

[tex]x=15.39864[/tex]

[tex]x\approx 15.4[/tex]

Therefore, the value of x is 15.4 units.

Answer:

y = -1/2x + 3

Step-by-step explanation:

(6，0) is on the linear function, 0= -1/2 × 6 + 3

Answer:

No, because he needs to make a 18 by 12 base. Not enough wood, (area)..... square inches

This is Right answer....

I hope you understand....

give me Brainliest.....

Thanks....

Answer:

8 , 32 AND 14

Step-by-step explanation:

Answer:

0.8^4

Step-by-step explanation:

Write the expression using exponents.

[tex]0.8 \: · \: 0.8 \: · \: 0.8 \: · \: 0.8 \: = \boxed { ? }[/tex]

Since, the expression is actually the repetition of 0.8, so we can write this as,

⇒ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴

Calculating further, We get,

⇒ ( 0.8 )⁴ = [tex] \sf \frac{8 \times 8 \times 8 \times 8}{10 \times 10 \times 10 \times 10} = \frac{8⁴}{10⁴} [/tex]

⇒ ( 0.8 )⁴ = [tex] \frac{4096}{10000} [/tex]

Calculating further, We get,

⇒ ( 0.8 )⁴ = 0.4096

∴ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

Answer

Check the question and complete it. It ain't complete

Answer:

it should be c. 5/8

Step-by-step explanation:

Since the spinner is out of 8 and the probability is asking for above 3, subtract the 3 from the 8, and you get 5/8

im not too sure if this makes sense, or if it works for everything, but it does help with this. Hope i helped :)

Answer:

C. 5/8

Step-by-step explanation:

Answer:

The circumfrence is 150pi.

Step-by-step explanation:

While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.

Answer:

Step-by-step explanation:

yes

no

no

yes

no