Answer:
Step-by-step explanation:
3p + 4r = q
3p = q - 4r
Answer:
True
Step-by-step explanation:
Hello :
<span>B(n) =-1(2)^n-1
</span><span> the 5th term in the sequence is : B(5) = -1(2)^(5-1)
B(5) = -(2)^4 = -16 </span>
Answer:
Step-by-step explanation:
We know that r and s have a combined length of 70. Therefore:
Notice that we can determine r by using the Pythagorean Theorem. In this case, r is the hypotenuse, and 20 and 8 are the legs. Therefore:
Substituting 20 and 8 for a and b and r for c yields:
Compute:
Therefore:
Now, we can determine s. We know that:
So, by substitution:
Therefore:
Now, notice that, with respect to x, 20 is the opposite side and s is the hypotenuse.
Therefore, we can use the sine ratio. The sine ratio is the ratio between a right triangles opposite side to its hypotenuse.
In this case, the opposite to x is 20, and the hypotenuse is s, or 70-4√29. Therefore:
By substitution:
Take the inverse sine of both sides:
Use a calculator. Therefore:
P= 2w+2L
2(55)+2(110)=
110+220=330
The perimeter is 330 yards