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Anna [14]
3 years ago
5

-What is the arc length when _ = 2 pi over 3 and the radius is 8 cm?

Mathematics
1 answer:
Brut [27]3 years ago
5 0
The answer is X= Rx Teta, X is the arc length
so the answer is <span>16 pi over 3cm

</span>
You might be interested in
An object is launched from a launching pad 208 ft. above the ground at a velocity of 192ft/sec. what is the maximum height reach
loris [4]

Answer:

The maximum height is 784 feet

Step-by-step explanation:

In this problem we use the kinematic equation of the height h of an object as a function of time

h(t) = -16t ^ 2 + v_0t + h_0

Where v_0 is the initial velocity and h_0 is the initial height.

We know that

v_0 = 192\ \frac{ft}{sec}

h_0 = 208\ ft.

Then the equation of the height is:

h(t) = -16t ^ 2 + 192t +208

For a quadratic function of the form ax ^ 2 + bx + c

where a

the maximum height of the function is at its vertex.

The vertice is

x = -\frac{b}{2a}\\\\y = f(\frac{-b}{2a})

In this case

a = -16\\b = 192\\c = 208

Then the vertice is:

t = -\frac{192}{2(-16)}\\\\t = 6\ sec

Now we calculate h (6)

h(6) = -16(6) ^ 2 +192(6) +208\\\\h(6) = 784\ feet

The maximum height is 784 feet

8 0
2 years ago
A pre-algebra book is 8 1 half inches by 9 1 fourth inches. Determine the perimeter of the textbook.
Arisa [49]

Answer:

Rectangular book--

two 8 1/2 sides

two 9 1/4 sides

8 1/2*2=17

9 1/4*2=18 1/2

17+18 1/2= 35 1/2

The perimeter of the textbook is 35 1/2 inches or 35.5 inches.

-this is not mine btw creds to sunflowerem :))

8 0
2 years ago
A3-b3=(a-b)(a2+an+b2) 64x6-27
olga nikolaevna [1]
<span>a³-b³=(a-b)(a²+ab+b²)

64x⁶ - 27

64 = 4³, 
x⁶ = (x²)³
27 = 3³

</span>64x⁶ - 27 = 4³(x²)³ -3³ = (4x²)³ -3³.  Now, we can use a formula where a=4x², b=3

(4x²)³ -3³ = (4x² -3)((4x²)² +4x²*3 + 3²) =  (4x² -3)(16x⁴ +12x² + 9) 
<span>
Answer: </span>64x⁶ - 27=  (4x² -3)(16x⁴ +12x² + 9) <span>

</span>
4 0
3 years ago
For the line perpendicular to y = 12, the slope is undefined because the denominator of the slope is 0. For the line parallel to
ASHA 777 [7]
I think the answer is b
7 0
2 years ago
If you are going 50 miles per hour, how many feet per second are you traveling?
Karolina [17]
You would travel 73.333334ft per second because 50 miles/hour would make 73.333333repete foot/second. 
5 0
2 years ago
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