Answer:
it's 4
Step-by-step explanation:
big brainnnnnnnnnn
Answer:
see explanation
Step-by-step explanation:
Using the rules of radicals/ exponents
×
= 
⇔ ![\sqrt[n]{a^{m} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%20%7D)
Simplifying each term
7
= 7
x
= x ×
× 
= x × 3 × 
= 3 × 
= 3
Subtracting the 2 simplified like terms, that is
7
- 3
= 4
← return to radical form
= 4
Answer:
144 cm^3
Step-by-step explanation:
The formula for the volume of a rectangular prism is <em>l x w x h. </em>
Here, the length is 4, the width is 4, and the height is 4.
4 x 4 x 9 =
16 x 9 =
144 cm^3
The length of arc AB is 9.12 mm:
We first calculate for the radius r of the circle using the equation
r = c/(2 sin[theta/2])
where c is the length of chord AB that is given as 9 millimeters
angle given is 32 degrees
To convert theta 32 degrees into radians:
32 degrees * (pi/180) = 32 degrees * (3.14/180) = 0.5583 radians
We now substitute the values into the equation to find the radius r:
r = 9/(2 sin[0.5583/2])
r = 16.33 mm
.
We can finally solve for the length s of arc:
s = r theta = 16.33 * 0.5583 = 9.12 mm