50 POINTS
If A denotes the area of the sector of a circle of radius r formed by the central angle theta, find the missing quantity. if necessary, round the answer to two decimal places.

r=9 inches, theta = pi/6 radians, A=?

Answer: 4,863.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can use Pythagorean Theorem to find leg BC.

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

[tex]24^2=12^2+BC^2[/tex]

[tex]576=144+BC^2[/tex]

[tex]BC^2=432[/tex]

[tex]BC=\sqrt{432}[/tex]

[tex]BC=2\sqrt{108}[/tex]

[tex]BC=4\sqrt{27}[/tex]

[tex]BC=12\sqrt{3}[/tex]

So, the measure of leg BC is 12√3.

Answer:

6.65 kilometers

Step-by-step explanation:

950 * 7 days a week = 6650 meters

6650 meters / 1000 (conversion to kilometers) = 6.65 kilometers

Answer:

6.65  km

Step-by-step explanation:

Let's solve this in a set of fraction forms. Since 1 day is 950 meters, 1 week will be converted to days to be on equal grounds. 1 week = 7 days. Therefore, let us set up a fraction; Let "x" be the variable

[tex]\frac{950}{1}=\frac{x}{7}[/tex]

Step 1: Switch sides

[tex]\frac{x}{7}=\frac{950}{1}[/tex]

Step 2: Apply rule [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{7}=950[/tex]

Step 3: Multiply both sides by 7

[tex]\frac{7x}{7}=950\cdot \:7[/tex]

Step 4: Simplify

[tex]x=6650[/tex]

Expressed: [tex]\frac{6650 meters}{1000}[/tex] (convertion to kilometers) = 6.65 kilometers

Therefore, Janet would walk 6.65 km in an entire week

Answer:

44

Step-by-step explanation:

Answer:

10 feet

Step-by-step explanation:

pythagorean theorem

Answer:

Hypotenuse = 10.

Step-by-step explanation:

h^2 = 6^2 + 8^2

= 36 + 64

= 100

So h= 10.

Answer:

answer: 31.4

Step-by-step explanation:

the formula to finding circumference is just diameter × pi we arent given the diameter so we have to figure it out but what we do know is the radius is half of the diameter so 5 x 2 = 10 so now that we have the diameter we just multiply by pi so 10 × 3.14 = 31.4 Hope this helps!

Answer:

10 π m

Step-by-step explanation:

Given,

Radius ( circle ) = 5 m

To find : Circumference ( circle ) = ?

Formula : -

Circumference ( circle ) = 2πr

Circumference ( circle )

= 2 x π x 5

= 10 π m

Answer:

a. Firat term of the sequence= 77

b. 29th term of the sequence= -35

c. Sum of the first 40 terms of the sequence= -40

Step-by-step explanation:

The first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.

Given that, [tex]a_{15} =21[/tex] and d=-4.

The nth term of the arithmetic sequence is [tex]a_{n} =a+(n-1)d[/tex].

To find the first term of the sequence:

[tex]a_{15}[/tex]=a+(15-1)(-4)

⇒21=a+(15-1)(-4)

⇒a=77

To find the 29th term of the sequence:

[tex]a_{29}[/tex]=77+(29-1)(-4)=-35

To find the sum of the first 40 terms of the sequence:

The first n terms of a sequence [tex]=\frac{n}{2}[2a+(n-1)d)][/tex]

[tex]S_{40} =\frac{40}{2}[2 \times77+(40-1)(-4))][/tex]

=20(154-156)=-40

Therefore, the first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.

To learn more about the arithmetic sequence visit:

https://brainly.com/question/15412619.

#SPJ2

Answer:

D

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

your look hard what grade you in

Step-by-step explanation:

10; decreases

8: decreases, increases

7: increases, stays the same, increases, stays the same, increases.

9: increases, increases

I hope that this is correct and was able to help

Answer:

1.2, 1.6, 2.0

Step-by-step explanation:

Pythagorean theorem

A^2 +b^2=c2

1.2^2+1.6^2=2^2

1.44 + 2.56=4

4=4

Since equation works (4=4), it is a right triangle.

Answer:

(x - 3)² + (y + 2)² = 16

Step-by-step explanation:

The center is determined by what number is subtracted from the variables.

The radius is squared and set equal to the variable side.

Answer:

Step-by-step explanation:

by intersecting chord theorem, 27*y = 13*17

y=13*17/27=8.185=8.19

Answer: b

Step-by-step explanation: b

Answer:

C)  100 sq. meters

Step-by-step explanation:

Answer:

Theres a lot of numbers you can choose from 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96,

Step-by-step explanation:

Answer:

29.50 degrees to the nearest hundredth.

Step-by-step explanation:

First we can find the measure of < CGB by using the Cosine Rule:

cos <CGB = (11^2 - 5.3^2 - 6.9^2) / (-2 * 5.3 * 6.9)

= -0.61936

So m < CGB = 128.27 degrees.

Now we can find the measure of x by using the Sine Rule:

11 / sin 128.27 = 6.9  / sin x

sin x =  6.9 * sin 128.27 / 11

= 0.49248

x = 29.5035 degrees

Answer:

x is around 29.5

Step-by-step explanation:

Let's just use the law of cosines.

[tex]c^2 = a^2 + b^2 - 2ab\cos\angle (ab)\\\\6.9^2 = 5.3^2 + 11^2 - 2\cdot5.3\cdot11\cdot \cos x^{\circ}\\47.61 = 28.09 + 121 - 116.6\cdot\cos x^{\circ}\\~\\cos x^{\circ} = \frac{149.09 - 47.61}{116.6} = \frac{101.48}{116.6}\\~\\x^{\circ} = \arccos\frac{101.48}{116.6}\\~\\x^{\circ} \approx 29.5^\circ[/tex]

Answer:

x = number of pairs of sandals sold = 287

Total pair of sneakers and sandals sold = 451 pairs

Step-by-step explanation:

Sneakers = 4

Sandals = 7

Sneakers : sandals = 4 : 7

If the store sells 164 pair of sneakers

Let

x = number of pairs of sandals sold

Sneakers : sandals = 164 : x

Equate both ratios to find x

4 : 7 = 164 : x

4/7 = 164/x

4 * x = 7 * 164

4x = 1,148

x = 1,148/4

x = 287

x = number of pairs of sandals sold = 287

how many pair of sneakers and sandals does the store sell in all ?

Total pair of sneakers and sandals sold = Sneakers + sandals

= 164 + 287

= 451 pairs

Total pair of sneakers and sandals sold = 451 pairs

Answer:

57

Step-by-step explanation:

Speed = Distance / Time

distance = 285

time = 5 hours

285/5 = 57

Answer:

It really all depends on how much percent of your grade the test is worth. If your current average is 77%, and the test is worth 30-100% of your grade, then the 77% will likely become 75% or even 73%.

Step-by-step explanation:

It all just depends.

Answer:

-32x-48y

Step-by-step explanation:

multiply: -4 (8x) - 4 (12y) = -32x-48y

Answer:

32x - 48y

Step-by-step explanation:

when you distribute, -4 has to go to both -8x and 12y  

so -4 times -8x = 32x

-4 times 12 = -48y

Final answer: 32x - 48y

Answer:

35

Step-by-step explanation:

Answer:

-81+9p

Step-by-step explanation:

-9(9-p)

-9×9-9×-p

-81-9×-p

-81-(-9p)

-81+9p

9p-81

Answer:

1/2 -3/2

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

U need to count how many times it goes up and divide 0.4 by 2

Answer:

x - 3.8 = y

Step-by-step explanation:

3.8 - 3.8 = 0

4.2 - 3.8 = 0.4

5.1 - 3.8 = 1.3

7.3 - 3.8 = 3.5

Answer:

Step-by-step explanation:

Given :-

To Find :-

We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,

[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]

[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]

Hence the slope of the line is 27/11 .

[tex]\rule{200}2[/tex]

Finding the length of AB :-

[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]

Hence the length of AB is 29.15 units .

Answer:88888888

Step-by-step explanation:

Answer:

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