Answer:

Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle BDC
Find the value of j
Applying the Pythagorean Theorem


step 2
In the right triangle ABD
Applying the Pythagorean Theorem
----> equation A
step 3
In the right triangle ABC
Applying the Pythagorean Theorem
----> equation B
step 4
Substitute equation A in equation B

solve for g

Answer:
a) 
b) 
Dividing both sides by 0.448 we got:

We can appy the exponent
in both sides of the equation and we got:

Step-by-step explanation:
For this case we know the following function:

The notation is: x is the weight of the crab in grams, and the output f(x) is the weight of the claws in grams.
Part a
For this case we just need to replace x = 2 gram in the function and we got:

Part b
For this case we know tha value for
and we want to find the value of x who satisfy this condition:

Dividing both sides by 0.448 we got:

We can appy the exponent
in both sides of the equation and we got:

Answer is 512 cu.ft.
Volume of a cube is length x width x height
So 8 x 8 x 8 = 512
Answer:
x = - 9, x = 6
Step-by-step explanation:
Given
x² + 3x - 54
To find the solutions equate to zero
x² + 3x - 54 = 0 ← in standard form
(x + 9)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 6 = 0 ⇒ x = 6