Answer:
300 miles.
Step-by-step explanation:
Distance = Rate * Time
We know the rate, 80 miles per hour.
We know the time, 3.75 hours.
As these use the same time unit, hours, we don't need to change any values.
We can just put these values into the formula:
Answer: 300 miles.
Answer:
I believe you're supposed to solve for the other missing side. If you know a side (a) and the diagonal or also known as the hypotenuse (c), you will be able to solve for the other side using the Pythagorean theorem.
Step-by-step explanation:
a^2+b^2=c^2 Substitute the values for a and c
24^2+b^2=30^2 Solve for the powers
576+b^2=900 Subtract 576 from both sides
b^2=324 Solve for the root of 324
18=b
You would need 18 inches of material to cover one side of the suitcase.
Answer:
In the complex number 4 + 2i, 4 is the <em>real </em>part. In the complex number 4 + 2i, 2 is the <em>imaginary </em>part.
Step-by-step explanation:
The two parts of the complex number are called the <em>real</em> part and the <em>imaginary</em> part. The imaginary part is identified by its multiplier of <em>i</em>.
In the given number, the 2 is multiplied by i, so 2 is the imaginary part. The other part, 4, is the real part.
Answer: cos(Θ) = (√15) / 4
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).
2) From which you can find:
3) Replace sin(α) with 1/4
=>
=>
4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =
.
And that is the answer.
Since F(X) = 3^X,
F(4) = 3^4 = 81
