Answer:
The man is 84
Step-by-step explanation:
84 x 2 is 168,
200-168=32
Answer:
Read Explanation
Step-by-step explanation:
A standard devation of 15 means 68% of the norm group has scored between 85 (100 – 15) and 115 (100 + 15). In other words, 68% of the norm group has a score within one standard deviation of the average (100). Also, 95% of the norm group has an IQ score within two standard deviations of the average.
<h3>Given</h3>
tan(x)²·sin(x) = tan(x)²
<h3>Find</h3>
x on the interval [0, 2π)
<h3>Solution</h3>
Subtract the right side and factor. Then make use of the zero-product rule.
... tan(x)²·sin(x) -tan(x)² = 0
... tan(x)²·(sin(x) -1) = 0
This is an indeterminate form at x = π/2 and undefined at x = 3π/2. We can resolve the indeterminate form by using an identity for tan(x)²:
... tan(x)² = sin(x)²/cos(x)² = sin(x)²/(1 -sin(x)²)
Then our equation becomes
... sin(x)²·(sin(x) -1)/((1 -sin(x))(1 +sin(x))) = 0
... -sin(x)²/(1 +sin(x)) = 0
Now, we know the only solutions are found where sin(x) = 0, at ...
... x ∈ {0, π}
Answer:
2304
Step-by-step explanation:(this is how I do it so sorry if people do it a different way.) so that it's easier for me I like to double the prism so it makes a square. then you take the length and with and multiply them together. that multiply what you just got by the width "length at the top". then divide your answer by 2.