Answer: sin of theta = (√55)/8
Step-by-step explanation:
Cosine is the x-value divided by the hypotenuse. We now know that since cosine is 3/8, that the hypotenuse is 8. In order to find the third side of the triangle (which would be the v-value), we must use Pythagorean theorem. The third side is square root 55. Sine equals the y-value divides by the hypotenuse. We know both of those values, so Sine of theta = square root of 55 divided by 8.
If the perimeters are equal, you can form an equation to find x:
x + x + 12 + x + x + 12 = x + 11 + x + 11 + x + 16
4x + 24 = 3x + 38
- 3x
x + 24 = 38
- 24
x = 14
Now you can substitute the x value into the perimeter:
(4 × 14) + 24
56 + 24 = 80 cm
(3 × 14) + 38
42 + 38 = 80 cm
So the perimeter would be 80 cm.
I hope this helps!
Based on the given description above, I have analyzed it and come up with a solution to get the probability if in a random sample of 25 students from this said group and the average height is between 73 and 75 inches. So if you calculate it, it will be like this:
<span>2P(Z<2)−1</span>
To find the probability of Z, use the normal distribution table.
The value for Z being less than 2 is 0.9772.
The final result is then<span><span>2(0.9772)−1=0.9544
Hope this is the answer that you are looking for.</span></span>
What is the math problem??
Answer:
5.83
Step-by-step explanation:
Use the Pythagorean theorem:
3^2+5^2 = c^2
34 = c^2
sqrt34 = c
5.83 = c