use the laws of sine and cosine to find the missing Dimension part 3


Find the f to the nearest whole number​

Answer:

94.99

Step-by-step explanation:

Hi,

The formula to find the area of a circle is: A = πr²

So...

A = 3.14 (r)²

The radius of the circle is 5.5 because half of the diameter is the radius.

A = 3.14 (5.5)²

A = 3.14 (30.25)

A = 94.985 rounded is 94.99

I hope this helps :)

Answer:

Step-by-step explanation:

Standard equation of a circle is given by,

(x - h)² + (y - k)² = r²

Here, (h, k) is the center of the circle.

From the graph given in the picture,

Center of the circle → (-1, 1)

Radius of the circle = 3 units

Therefore, standard equation of the circle will be,

(x + 1)² + (y - 1)² = 3²

(x + 1)² + (y - 1)² = 9

General equation of the circle is the expanded form of the standard equation.

x² + 2x + 1 + y² + 1 - 2y = 9

x² + y² + 2x - 2y + 2 = 9

x² + y² + 2x - 2y - 7 = 0

Therefore, general equation of the given circle is,

x² + y² + 2x - 2y - 7 = 0

Answer:

you are incorrect =

Step-by-step explanation:

1 mile = 63360inches=72 =63432inches=5286ft

Answer:

4/6 or 2/3.

Step-by-step explanation:

You need to multiply 1/2 by 3/3 so you can can the denominater having a 6.

Answer:

So, we know that the speed of the aircraft is 600 miles /per hour/. The question is, how many miles does it travel over 6 hours?

Since “per hour” means it travels that far in 1 hour, we need to take that speed (600mph) and multiply it by 6, since we were asked about the distance in 6 hours.

So:

600*6=3600

And we get a total of 3600 miles traveled in 6 hours, as opposed to 600 miles in 1 hour.

Answer:

[tex]x=-9[/tex]

Step-by-step explanation:

[tex]36^{x-3}=1296^{x+3}\\(6^2)^{x-3}=(6^4)^{x+3}\\2(x-3)=4(x+3)\\x-3=2x+6\\x+6=-3\\x=-9[/tex]

Answer:

The required confidence inteval = 94.9%.

Step-by-step explanation:

Confidence interval: Mean ± Margin of error

Given: A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969).

i.e.  Mean + Margin of error = 42.969               (i)

Mean - Margin of error = 36.191                    (ii)

Adding (i) and (ii), we get

[tex]2Mean =79.16\\\\\Rightarrow\ Mean= 39.58[/tex]

Margin of error = 42.969-39.58             [from (i)]

= 3.389

Margin of error = [tex]t^* \dfrac{\sigma}{\sqrt{n}}[/tex]

here n= 25 [tex], \ \sigma=8.25[/tex]

i.e.

[tex]3.389=t^*\dfrac{8.25}{5}\\\\\Rightarrow\ t^* = \dfrac{3.389}{1.65}\\\\\Rightarrow\ t^* =2.0539 \[/tex]

Using  excel function 1-TDIST.2T(2.054,24)

The required confidence inteval = 94.9%.

Answer:

$420

Step-by-step explanation:

In the figure, the living room is 5 cm by 3.5 cm.

We use the scale to convert to the real measurements.

1 cm = 4 ft

5 cm * 4 ft/cm = 20 ft

3.5 cm * 4 ft/cm = 14 ft

The actual dimensions of the room are 20 ft by 14 ft.

actual area = 20 ft * 14 ft = 280 ft²

carpet cost = $1.50/ft²

cost of carpet = 280 ft² * $1.50/ft²

cost of carpet = $420

Answer: $420

Answer:

the answer is D The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent.

Step-by-step explanation:

The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent. Therefore, option D is the correct answer.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

We know that, slope = Rise/Run.

Here, slope of a line AB = 3/6

= 1/2

Now, slope of a line BC = 2/4

= 1/2

Therefore, option D is the correct answer.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

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Answer:

1\9

Step-by-step explanation:

probability of picking 6 once is 1/3

then picking 6 again would be 1/9

Answer:

O A).

Step-by-step explanation:

Answer: Neither

Step-by-step explanation:

Answer:

(-9) + 9 = 0

The integer that should be added is nine

Step-by-step explanation:

when you have a negative integer and you added it by itself but it's a positive instead of a negative the positive takes over the negatives and makes it zero. I hope that made sense

Answer:

i think D is the answer : the distribution is skewed to the right

Answer:

I support option D in this question

Answer:

(-3/8)/(-1/3)

=(-3/8) x (-3)

=9/8

=11/8

Step-by-step explanation:

Answer:

Explanation:

7 - 1 = 6

2/3 = 4/6

so

5 - r = 4

r = 5 - 4

r = 1

(1, 1) (7, 5)

Answer:

33

Step-by-step explanation:

if you set it as an equation equal to 180 its easier to tackle

Answer:

-7

Step-by-step explanation:

Step-by-step explanation:

shown in the photo I have provided

The graph of the given function f (x) = sin (πx/2) is attached below.

Function is a type of relation, or rule, that maps one input to specific single output.

If we plugged in x = 0, then we get

f (x) = sin (πx/2)

Therefore, this sine curve goes through the origin. The point is on the midline y = 0, the x axis.

We need either a minimum or maximum point. the expression f (x) is the same as . We will divide 2π over the coefficient of π/2 to get

The plot of the the maximum or minimum point closest to the first point is plotted in the graph.

Learn more about function here:

https://brainly.com/question/2253924

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Answer:

A,b I’m pretty sure

Step-by-step explanation:

Short answer (I write nPr = P(n, r) and nCr = C(n, r) ):

P (6, 4) = 6! / (6 - 4)! = 6! / 2! = 720 / 2 = 360

C (6, 4) = P (6, 4) / 4! = 6! / (4! (6 - 4)!) = 360 / 24 = 15

Long answer:

P(n, r) counts the number of permutations of n objects taken r at a time, given by

P(n, r) = n ! / (n - r )!

A permutation is a unique arrangement of objects such that the order in which they are arranged is taken into account. For example, if the objects in question are the numbers in the set {1, 2, 3}, then

• there are 3! = 6 total possible permutations if we take all 3 numbers at once:

123, 132, 213, 231, 312, 321

• there are 3!/(3-2)! = 3!/1! = 6 total permutations if we only take 2 numbers at once:

12, 13, 21, 23, 31, 32

• there are 3!/(3-1)! = 3!/2! = 3 total permutations if we take only 1 number at a time:

1, 2, 3

• and there is 3!/(3-0)! = 3!/3! = 1 way of permuting the 3 numbers without taking any of them:

(the permutation itself is just empty space)

By contrast, C(n, r) counts the combinations of n items taken r at a time, given by

C(n, r) = P(n, r) / r !

A combination is like a permutation, but the order of the objects doesn't matter. Continuing with the previous example of arrangements of the numbers from {1, 2, 3}, we have

• 3! / (3! (3-3)!) = 1 combination taking all 3 numbers at once:

123

(the other 5 permutations listed earlier are made up of the same numbers, so we consider them duplicates)

• 3! / (2! (3-2)!) = 3 combinations taking only 2 numbers at once:

12, 13, 23

• 3! / (1! (3-1)!) = 3 combinations taking only 1 number:

1, 2, 3

• 3! / (0! (3-0)!) = 1 combination taking none of them:

(again, empty space)

The main point is that the order of objects is considered across permutations, while it's ignored across combinations.

Answer:

there is no picture so we can't solve it

Answer:

A = (-6, 4)

B = (2,2)

C =  (-2, 2)

Step-by-step explanation:

If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be expressed as (kx, ky). Note that each coordinate is multiplied by the scale factor

Given the coordinates (-3,2),(1,1)(-1,-1), if they are dilated by a factor of 2, the resulting coordinate will be;

A = (2(-3), 2(2)) = (-6, 4)

B = (2(1),2(1)) =(2,2)

C = (2(-1), 2(-1)) = (-2, 2)

Answer:

the mean is 7

Step-by-step explanation:

used a mean calculator

Answer:

It does not restate the thesis.

Answer:

Alia has 11 jelly beans.

Step-by-step explanation:

4^2= 163^3= 2727-16=11

Answer:

angle A = 130°

x=65°

I hope it's helps you

Answer:

(2x - 30°) + 50° = 180° (linear pair angles)

2x + 20° = 180°

2x = 180° - 20°

2x = 160°

x = 160°/2 = 80°

Now, A = 2x - 30° = 160°-30° = 130°