Answer:
(?)=70
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given

Required
Determine an equivalent expression
Express 81 as 

Apply law of indices






Hence:

Answer:
km
Step-by-step explanation:
The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of
km and
km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle,
, where
and
are the lengths of the triangle's legs and
is the length of the triangle's hypotenuse. In this case, we know what
and
are, and we need to solve for c, so after substituting the given values of
and
into
to solve for c, we get:

(Substitute
and
into the equation)
(Evaluate the squares on the LHS)
(Simplify the LHS)
(Symmetric Property of Equality)
(Take the square root of both sides of the equation)
(Simplify)
is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately
km away from its base. Hope this helps!
Answer:
The fish will be at a distance of 5 3/4 ft from the water surface at 4:00 pm
Step-by-step explanation:
Here, we want to find a rational number that represents the position of the Fish at 4pm
Initially it was at a depth of 2 1/2 ft below the water surface
At 4pm, it went 3 1/4 ft further
Thus, its position with respect to the water surface at 4 pm will be;
2 1/2 + 3 1/4
= 5/2 + 13/4 = (10 + 13)/4 = 23/4 = 5 3/4 ft