Given: sin theta = 2/5. This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively. The adj side is found using the Pyth. Thm.: 5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).
The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.
In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:
(4/25)*sqrt(21).
Answer:
240
Step-by-step explanation:
So to do this problem, you have to find the area of each 2d figure. To start off, you need to find the top sides. (to make this easier I won't show the work)
<u>Green-</u> Top & bottom: 16. Sides (4): 28
<u>Pink-</u> Top & bottom: 8. Sides (4): 20
Now you add it all up.
32+112+16+80=240
Answer:
7
Step-by-step explanation:
To solve this, we have to work backwards. If you divide something by 9, and it equals 5, to figure out the number, we need to multiply by 9. 5*9= 45. If four was taken away, we have to add it to 45, which is 49. If a number *7 is 49, then we have to divide by 7 to get the answer. 49/7=7
Answer:
2 inches
Step-by-step explanation:
2 x 1 = 2
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The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have 3x - 2y = 6 <em>subtract 3x from both sides</em>
-2y = -3x + 6 <em>divide both sides by -2</em>
y = 3/2 x - 3
slope: m = 3/2
y-intercept: b = -3
x-intercept for y = 0. Substitute:
3/2 x - 3 = 0 <em>add 3 to both sides</em>
3/2 x = 3 <em>multiply both sides by 2/3</em>
x = 2
<h3>Answer:</h3><h3>slope = 3/2</h3><h3>y-intercept = -3</h3><h3>x-intercept = 2</h3>
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y = 3/2 x - 3 it's the same function like first function.
