Answer: 94.54 m^2 (square meters)
Step-by-step explanation: The formula for the area of a trapezoid is A = 1/2(a+b)h; where a and b are the two top sides of the trapezoid that are parallel. Let us then solve.
Let us combine both sides two maintain the overall side for "b", which is 18 + 5.1 = 23.1
Let us now add both sides (a + b.) 23.1 + 9.5 is 32.6. We can now multiply by the height. 32.6 multiplied by 5.8 is 189.08
We can now divide (or multiply by 1/2), which is 189.08 * 1/2 or 189.08/2 and that equals 94.54.
Answer:
It is after 4 explorations that the submarine's elevation would have changed by -3/2 miles
Step-by-step explanation:
From the question,
The elevation of the submarine changes by -3/8 mile after each exploration.
To determine the number of explorations it will take for the submarine's elevation to have changed by -3/2 miles, we will divide -3/2 miles by the number of miles the elevation of the submarine changes per exploration (that is, -3/8 mile),
That is,
-3/2 miles ÷ -3/8 mile
= 
= 
=
= 4
Hence, it is after 4 explorations that the submarine's elevation would have changed by -3/2 miles.
Part 1:
Step 1:
Find the value of G(16)
Using the equation for g(x) =√x, replace x with 16 and solve:
g(16) = √16 = 4
Step 2:
Now using the answer for g(16) replace x in the equation fir f(x) with 4 and solve:
f(x) = x +2
f(4) = 4+2 = 6
Part 2:
following the same steps as part 1:
f(g(x)) would be replacing x in the equation ofr f(x)with the equation for g(x)
f(g(x)) = √x +2
Answer: x=-3
Step-by-step explanation:
2x-4(x+3)=x-3
2x-4x-12=x-3
-2x-12=x-3. add 12 to both sides
-2x=x+9. subtract x from both sides
-3x=9. Divide both sides by -3
x=-3
