Answer:
8.5 feet
Step-by-step explanation:
To find the volume of a rectangular prism, you must multiply the area of the base by the height. Conversely, if you wanted to find the height of the prism, you could simply divide the volume by the area of the base. 1360/160=8.5 feet. Hope this helps!
Answer:
the answer is actually 313 ft not a single person has answered the correct answer... smh
Explanation:
313 ft
sinΘ = opp/hyp
Hailey's depth: x = 300sin30 = 150
partner's depth = 150 + 25 = 175
then, find horizontal distance
300^2 = 150^2 + b^2
b = 150 x square root of 3
then,
c^2 = (150 x square root of 3)^2 + (175)^2
c = 313.25
Subtract 14x from both sides to get

Subtract 12 from both sides to get

Now we have moved all terms involving x on one side, and all constant terms on the other. We can simplift both sides, i.e. sum like terms, to get

Now we have to divide both sides by 6. When dealing with inequality you have to be careful about dividing both sides by the same constant: if the constant is negative, the inequality side switches (i.e.
). But this is not the case since 6 is positive, so we mantain the inequality sign:
on the other. We can simplift both sides, i.e. sum like terms, to get

Evaluate left and right hand side:

Answer:
44
Step-by-step explanation:
substitute k = 1, 2, 3, 4 into 2k² - 4 and sum the terms
k = 1 : 2(1)² - 4 = 2 - 4 = - 2
k = 2 : 2(2)² - 4 = 8 - 4 = 4
k = 3 : 2(3)² - 4 = 18 - 4 = 14
k = 4 : 2(4)² - 4 = 32 - 4 = 28
sum = - 2 + 4 + 14 + 28 = 44