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aksik [14]
3 years ago
14

Which description is the basis of proof that sin^2 x + cos^2 x= 1 ?

Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0
Answer: Choice B
Equation of a circle with (0,0) as its center and radius = 1

---------------------------------------------------------------

Explanation:

Recall that the unit circle is the equation 
x^2 + y^2 = 1
This is a circle with center (h,k) = (0,0) and radius r = 1
It is in the form 
(x-h)^2 + (y-k)^2 = r^2

We can write the first equation mentioned in the form sin^2(t)+cos^2(t) = 1
Using 
x = cos(t)
y = sin(t)
t = angle

The point P(x,y) on the unit circle has an x coordinate of cos(t) and a y coordinate of sin(t). We can see this through drawing a right triangle. 
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3c(5+c) -2(3c-7)
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9c+3c^2+14
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The missing blank is 2 because 7+2=9.
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the highest of three cylinders are 3 cm 9 cm and 5 cm if the cylinder has a capacity of 725 calculate the capacitance of the oth
Allushta [10]

The capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

<h3>How to find the capacitance</h3>

Capacity of a cylinder is seen as its volume

Volume of a cylinder = πr²h

The heights of the cylinders are

a. 3cm

b. 9cm

c. 5cm

Let's find the radius

Capacity = 3. 142 × r² × 3

725 = 3. 142 × r² × 3

r² = \frac{725}{3. 142 * 3}

r² = \frac{725}{9. 426}

r² = 76. 91

r = √76. 91

r = 8. 77cm

Radius of the cylinders = 8. 77cm

For cylinder with height of 9cm

Capacitance = πr²h

Capacitance = 3. 142 × 8. 77 × 8. 77 × 9

Capacitance = 2174. 94 cm³

For cylinder with height of 5cm

Capacitance = 3. 142 × 8. 77 × 8. 77 × 5

Capacitance = 1208. 30 cm³

Thus, the capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

Learn more about volume of a cylinder here:

brainly.com/question/9554871

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6 0
2 years ago
Two ants, red ant and black ant, creeping along lines in 3-space. At time t, red ant is at point on the line
mylen [45]
A. The distance between the red ant and the black ant is five units.

To represent the red ant,
xr = 3 - t 
yr = 2 + 2 t 
zr = 6 + 2 t 

To represent the black ant, 
xb = t/2 
yb = 2 + 3 t 
zb = 2 + t 

To calculate,
at t = 0 
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Therefore,
d = √(9+16) = √(25) = 5

b. There will be no collision between the two ants.

To calculate,
3 - t = t/2
6 - 2t = t
6 = 3t
t = 2 

If t = 2,
2 + 2*2 = 2 + 3*2
4 0
3 years ago
Fraction A 5/&amp; , Fraction B 3/4 ......
jasenka [17]

Answer:

Five Sixths is the word form of Fraction A.

Three fours is the word form of Fraction B.

Step-by-step explanation:

Fraction A = 5 / 6

Its word form = Five Sixths

Fraction B = 3 / 4

Its word form = Three Fours

6 0
3 years ago
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