Please help with this, Thank You.

Answer:

C=100.53 CM²

Step-by-step explanation:

Formula to the circumference of a circle is 2π·r

2π=6.28

6.28·16=100.53 CM²

The equation here can be described to be a circle.

We have the following equations

x = 5cos(t) - 7, and

y = 5sin(t) + 9

When rearranged we have

x + 7 = 5cos(t),

y - 9 = 5sin(t)

Square both equations

(x + 7)² = 25cos²(t), and

(y - 9)² = 25sin²(t)

Sum the equations

(x + 7)² + (y - 9)² = 25cos²(t) + 25sin²(t)

(x + 7)² + (y - 9)² = 25

(x + 7)² + (y - 9)² = 5²

The equation above is that of a circle. The radius is 5 units. The center is (-7,9)

The formula for the equation of a circle is

(x -a)² + (y - b)² = R², this is similar to (x + 7)² + (y - 9)² = 5²

The equation can be described as a circle.

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Answer: cirlce

Step-by-step explanation:

did it

Answer:

The correct answer is the last one, [tex]\frac{\pi }{6}[/tex].

Step-by-step explanation:

Assuming you need this urgently so I won't explain.

Hope this helps:) Goodluck!

Answer:

5π/6, 7π/6

Step-by-step explanation:

Solving :

cos⁻¹ (-[tex]\frac{\sqrt{3} }{2}[/tex])

cos⁻¹ (-cos30°)

cos 30° is negative in Quadrant II and Quadrant III

Value in QII :

Value in QIII :

The answer is 5π/6, 7π/6

Answer:

[tex]\displaystyle \frac{4}{3}\text{cm}^2/\text{min}[/tex]

Step-by-step explanation:

Given

[tex]\displaystyle \frac{dV}{dt}=10\:\text{cm}^3/\text{min}\\ \\V=s^3\\\\SA=6s^2\\\\\frac{d(SA)}{dt}=?}\:;s=30\text{cm}[/tex]

Solution

(1) Find the rate of the cube's edge length with respect to time at s=30:

[tex]\displaystyle V=s^3\\\\\frac{dV}{dt}=3s^2\frac{ds}{dt}\\ \\10=3(30)^2\frac{ds}{dt}\\ \\10=3(900)\frac{ds}{dt}\\\\10=2700\frac{ds}{dt}\\\\\frac{10}{2700}=\frac{ds}{dt}\\\\\frac{ds}{dt}=\frac{1}{270}\text{cm}/\text{min}[/tex]

(2) Find the rate of the cube's surface area with respect to time at s=30:

[tex]\displaystyle SA=6s^2\\\\\frac{d(SA)}{dt}=12s\frac{ds}{dt}\\ \\\frac{d(SA)}{dt}=12(30)\biggr(\frac{1}{270}\biggr)\\\\\frac{d(SA)}{dt}=\frac{360}{270}\biggr\\\\\frac{d(SA)}{dt}=\frac{4}{3}\text{cm}^2/\text{min}[/tex]

Therefore, the surface area increases when the length of an edge is 30 cm at a rate of [tex]\displaystyle \frac{4}{3}\text{cm}^2/\text{min}[/tex].

The probability that each person gets off on a different floor is; 3/32

We are told that there are 4 people on the elevator. We are also told that there are four stops on four different floors. Thus;

Total number of ways to get off on the floors = 4 * 4 * 4 * 4 = 256 ways

Now, the number of ways that each person can get off on a different floor is 4! = 24. Thus, the probability that each person gets off on a different floor is;

P(each person gets off on a different floor) = 24/256 = 3/32

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Answer:

68

Step-by-step explanation:

the interior angles of a triangle always adds up to 180. So if you add 59 and  

53 together you would get 112. Then subtract that from 180 and you would get 68.

Answer:

Hope the picture will help you........

Answer:

She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.

Step-by-step explanation:

26/2 = 13. There's enough flour to make the recipe 13 times over, however,

she only has the amount of butter to make a dozen of the first recipe. 9 divided by (3/4) = 12.

26/3 = 8.6, or 8 and 3/4ths of a batch with the flour. She has enough butter to make 9, but not enough flour, so she could make 8 batches of chocolate chip cookies.

She can make 12 batches of peanut butter cookies alone. Or she could make 8 batches of chocolate chip cookies alone. This means: It can't be C because she doesn't even have enough ingredients to make 22 batches of chocolate chip. It also can't be D because there's not enough ingredients for 28 batches of peanut butter or 12 chocolate chip.

to make 4 batches of PB:

[tex](4)\frac{3}{4}=3[/tex] cups of butter needed, and 4(2) = 8 cups flour needed.

so now she'd have 6 cups butter and 18 cups flour leftover.

This means, to make 6 batches CC:

3(6) = 18 cups flour, and 1(6) = 6 cups butter needed. She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.

Answer:

sooo i  think, it  is

Step-by-step explanation:    it screen shot cause i worked it out on my computer !

Answer:

95.3333 ft/s

Step-by-step explanation:

Answer:

Let x be the number of left handed female students and let y be the number of left handed male students.

Then the number of right handed female students will be 5x and the number of right handed male students will be 9y. Since the total number of left handed students is 18 and the total number of right handed students is 122, the following system of equations must be satisfied.

x+y=18 and 5x+9y=122

Solving this system gives x=10 and y=8.

Thus, 50 of the 122 right handed students are female. Therefore, the probability that a right handed student selected at random is female is   the fraction  50/122

which to the nearest thousandth is 0.410.

T is average time spend by shoppers in minutes

N average number of shoppers.

Here, shoppers/hour =84.

Hence r=

60

84

​T=5

Hence N=rT=

60

84

​

×5=7

Average number of shoppers waiting at checkout =7

Answer:

EMMA ITS KAIDN. text back.

Step-by-step explanation:

I had already answered this.

Answer:

If yo translate ABC down 5 units and to the right 2 units, it coincides with GHI.

Step-by-step explanation:

You just have to follow the directions

Answer:

4

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

As they have added the same shape onto the top of the rectangle as they have taken away from the bottom, just do 16x8.

Answer:

a) 38.40 yd  (2 dp)

b) 211.18 yd²  (2 dp)

Step-by-step explanation:

Formula

[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)[/tex]

[tex]\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}[/tex]

Calculation

Given:

[tex]\begin{aligned}\implies \textsf{Arc length} &=2 \pi (11)\left(\dfrac{200^{\circ}}{360^{\circ}}\right)\\ & = 22 \pi \left(\dfrac{5}{9}\right)\\ & = \dfrac{110}{9} \pi \\ & = 38.40\: \sf yd \:(2\:dp)\end{aligned}[/tex]

[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{200^{\circ}}{360^{\circ}}\right) \pi (11)^2\\& = \left(\dfrac{5}{9}\right)\pi \cdot 121\\& = \dfrac{605}{9} \pi\\& = 211.18\: \sf yd^2 \:(2\:dp)\end{aligned}[/tex]

Please note:  As you have not specified if π should be approximated, I have not used an approximation for π.

Answer:

The answer is 6^6

Step-by-step explanation:

When you divide exponents, you actually substract the exponent from the equation

Answer:

[tex]6^4[/tex]

Step-by-step explanation:

Recall the exponent quotient rule [tex]\displaystyle \frac{x^a}{x^b}=x^{a-b}[/tex]

This means that [tex]\displaystyle \frac{6^{10}}{6^4}=6^{10-6}=6^4[/tex]

Answer:

its 1.6

Step-by-step explanation:

2 squared minus 1.2 squared is 2.56

the square root of that is 1.6

Answer:

Step-by-step explanation:

Givens

4 scones

1 loaf of bread

Total cost = 3.30

Equation

Let the loaf of bread = b

Let the scones = s

Cost = b + 4s

Solution

Substitute the givens into the equation

b + 4s = Cost

90 + 4s = 3.30                  Subtract 90 from both sides

90-90 + 4s = 3.30-90      Combine

4s = 2.40                          Divide by 4

4s/4 = 2.40/4                

s = 0.6 of a pound

Answer: 1 scone = 60 pence.

Answer:

See below

Step-by-step explanation:

Complete the square

[tex]f(x)=x^2-25x\\\\f(x)+(\frac{-25}{2})^2=x^2-25x+(\frac{-25}{2})^2\\\\f(x)+156.25=x^2-25x+156.25\\\\f(x)+156.25=(x-12.5)^2\\\\f(x)=(x-12.5)^2-156.25\\\\f(x)=(x-\frac{25}{2})^2-\frac{625}{156}[/tex]

Identify vertex

[tex](h,k)\rightarrow(-\frac{25}{2},-\frac{625}{156})[/tex]

Answer:

P(king or diamond) = P(king) + P(diamond) - P(king and diamond) P(king or diamond) = (4/52) + (13/52) - (1/52) P(king or diamond) = 16/52 Page 5 P(king or diamond) = 4/13.

Answer to your question

-6x sqrt21x

Answer:

48

Step-by-step explanation:

12*4=48

The scenario that match this graph is 12 gallons are presently in the bath tube draining at 3 gallons per minute.

An equation is an expression that shows the relationship between two or more numbers and variables.

From the graph using points (0, 12) and (4, 0):

y intercept = 12; slope = (0 - 12)/(4 - 0) = -3

The scenario that match this graph is 12 gallons are presently in the bath tube draining at 3 gallons per minute.

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From the section formula, it was found that the coordinate for the point S is (12,21).

The coordinates of the point S which divides the line AB into two sections can be found from the application of the Section Formula that is presented below:

[tex]S=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})[/tex], where

[tex]ratio=\frac{m}{n}[/tex]

[tex]x_1[/tex] and [tex]y_1[/tex] are coordinates of A

[tex]x_2[/tex] and [tex]y_2[/tex] are coordinates of  B

The question gives  r=[tex]\frac{3}{2}[/tex], A=(21,3) and B=(6,33). From the ratio, you can find m=3 and n=2.

Next step, applying the internal section formula. Then, you have:

[tex]S=(\frac{3*6+2*21}{3+2}, \frac{3*33+2*3}{3+2})\\ \\ S=(\frac{18+42}{5}, \frac{99+6}{5})\\ \\ S=(\frac{60}{5}, \frac{105}{5})\\ \\ S=(12, 21)[/tex]

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The cost of pass is $10.5, the cost of burger is $1.75, and the cost of souvenir is $5.25 if the Sharon brought $19.50 to the state fair.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the cost of the pass is $x

The souvenir cost 1/2 the cost of the pass, which is x/2

The burger was 1/3 as much as the souvenir, which is (1/3)(x/2) = x/6

x + x/2 + x/6 + 2 = 19.50

x = 21/2

x = $10.5

The cost of pass = $10.5

The cost of burger = $1.75

The cost of souvenir = $5.25

Thus, the cost of pass is $10.5, the cost of burger is $1.75, and the cost of souvenir is $5.25 if the Sharon brought $19.50 to the state fair.

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Answer:

See below ~

Step-by-step explanation:

True Statements

Answer:

the answer for all of this question should be

C=( -10, -2)

D=(0, -2)

E=(0,8)

F=(-10,8)

so remember the quadruants and remember if the x is negative or positive and if the y is either negative or positive so hopefully those are the correct one and if not tell me whats wrong so i can edit it to make it better.

Step-by-step explanation:

[tex]\fcolorbox{red}{blue}{Answer}[/tex]

78.5 units²

Step-by-step explanation:

[tex] \textsf{\large{\underline{To find :-}}}[/tex]

The area of circle on graph

[tex] \textsf{\large{\underline{Given :-}}}[/tex]

[tex] \sf (x_1,y_1) = (-3,-3) \\ \sf (x_2,y_2) = (2,-3)[/tex]

[tex] \textsf{ \huge{\underline{\underline{Solution :-}}}}[/tex]

We can see in the above question that we have been provided the center of thee circle and line of the circle passes through a point.

So to find the radius we have to find the distance between center of circle and the point from which line passes.

[tex] \sf \blue{ Distance = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }[/tex]

Now substituting the required values

[tex] \sf \implies\sqrt{ { \{2 - ( - 3) \}}^{2} + { \{ - 3 - ( - 3) \}}^{2} } \\ \\ \sf \implies \sqrt{ {(2 + 3)}^{2} + {( - 3 + 3)}^{2} } \\ \\ \sf \implies \sqrt{ {5}^{2} + {0}^{2} } \\ \\ \sf \implies \sqrt{25} \\ \\ \sf \implies 5 \: units[/tex]

So the radius will be 5 units

Now we will simply formula for area of circle

[tex] \sf \green{ Area \: of \: circle = \pi {r}^{2} }[/tex]

Now substituting the required values

[tex] \sf \hookrightarrow Area = 3.14 \times {5}^{2} \\ \\ \sf \hookrightarrow Area = 3.14 \times 25 \\ \\ \red{\boxed {\hookrightarrow \frak{78.5 \: {units}^{2} } }}[/tex]

The graph of the circle is plotted with clarity and the area is obtained as 78.5 square units.

The graph of a circle can be plotted by knowing its centre and radius.

If radius is not given, then it can be found by knowing the coordinate of any point lying on it.

The radius can be calculated by the distance formula.

The centre of the given circle is at (-3, -3) and it passes through (2, -3).

Now, radius is the distance between the centre and a point lying on circle.

The radius can be calculated by distance formula as below,

√((-3 - 2)² + (-3 - (-3))²) = 5

The graph of the given circle can be drawn as follows,

Now, the area of the circle is πr² = 3.14 × 5² = 78.5

Hence, the graph of the circle is drawn properly and the area is given as 78.5 square units.

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