Answer: it is C
Step-by-step explanation:
Answer:
sin²x = (1 - cos2x)/2 ⇒ proved down
Step-by-step explanation:
∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)
(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)
∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x
∴ - cos2x + cos²x = -cos2x + (1 - sin²x)
∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides
∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x
∴ 1/2(1 - cos2x) = sin²x
∴ sin²x = (1 - cos2x)/2
<h3>
Answer: 16 square units</h3>
Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5
a^2 + b^2 = c^2
3^2 + x^2 = 5^2
9 + x^2 = 25
x^2 = 25-9
x^2 = 16
x = sqrt(16)
x = 4
This is a 3-4-5 right triangle.
The height of the parallelogram is 4 units.
We have enough info to find the area of the parallelogram
Area of parallelogram = base*height
Area of parallelogram = 4*4
Area of parallelogram = 16 square units
Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.
<h2>
Answer:</h2>
7/200 as a decimal is <em>0.035</em>
<h2>
Step-by-step explanation:</h2>
Simply divide the numerator by the denominator:
= 7/200
= 7 ÷ 200
= 0.035
Answer:
P(red) = .3
P(yellow) = .3
75 cubes in the box
Step-by-step explanation:
The probability has to add to 1
Since the number of red cubes equals the number of yellow cubes the probability has to be the same
.4 + x+x = 1
.4 +2x = 1
2x = 1-.4
2x = .6
Divide by 2
x = .6/2
x = .3
P(red) = .3
P(yellow) = .3
We know that
P(blue) = .4 = number of blue cubes/ total number of cubes
.4 = 30/total
total = 30/.4
total = 75
