Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Find x and y
The given triangle has 45 degrees as one of its angles, and it is also a right angle triangle.
For this kind of parameter, the opposite = the adjacent
i.e. x = y
Apply Pythagoras theorem
Substitute x for y
Divide by 2
Take square root
Split
Answer:
The percentage of dextrose is this solution = 7.5 %
Step-by-step explanation:
A solution is made from 3 mL of dextrose in 40 mL total.
We can determine the percentage by dividing 3 mL by 40 mL and multiply the result by 100.
i.e.
3/40 × 100 = 0.075 × 100
= 7.5 %
Thus, the percentage of dextrose is this solution = 7.5 %
Answer:
your answer would be 7.8945621e+16
Step-by-step explanation:
have a wonderful day
Answer:
B. A(r(t)) = 25πt²
Step-by-step explanation:
Find the completed question below
The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.
Given
A(t) = πr²
r(t) = 5t
We are to evaluate the composite expression A(r(t))
A(r(t)) = A(5t)
To get A(5t), we will replace r in A(t) with 5t and simplify as shown
A(5t) = π(5t)²
A(5t) = π(25t²)
A(5t) = 25πt²
A(r(t)) = 25πt²
Hence the composite expression A(r(t)) is 25πt²
Option B is correct.
<u>Answer</u>
x ≥ -2
<u>Explanation</u>
The inequalities are solve the same way as algebra. This would be solve as follows.
-2x-1≤5
-2x≤5+1
-2x≤4
Divide both sides of the inequality by -2. This will change the sign from ≤ to ≥.
(-2x)/(-2) ≤ 4/(-2)
x ≥ -2
