Choose any 2 points from the table:
<span>*10----------------------$25
*15----------------------$35
*20----------------------$45
*25----------------------$55
and find the slope of the line. Supposing we focus on
</span>*15----------------------$35
*20----------------------$45
then:
$45-$35 $10
slope = m = ------------- = ---------- = $2/mile
20-15 5
8.4 inches
Explanation : The big line in the middle of 8 and 9 is equal to 8.5, but since there is a small unit that is missing, the answer is 8.4.
3.95*10^9 move the decimal to the left untill it is in between the last ans 2nd to last number
Answer:
meter and then gallon
Step-by-step explanation:
i hope this helps :)
Explanation:
The Law of Sines is your friend, as is the Pythagorean theorem.
Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.
Then we have from the Pythagorean theorem ...
b² = 4² +(2√2)² = 24
b = √24
From the Law of Sines, we know that ...
b/sin(60°) = a/sin(θ)
y/sin(45°) = a/sin(φ)
Solving the first of these equations for "a" and the second for "y", we get ...
a = b·sin(θ)/sin(60°)
and ...
y = a·sin(45°)/sin(φ)
Substituting for "a" into the second equation, we get ...
y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)
So, we need to find the value of the coefficient ...
b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)
= √(24·2/3) = √16 = 4
and that completes the development:
y = 4·sin(θ)/sin(φ)
