Solve the system. 4x+2y+3z=12 2x−3y+5z=−7 6x−y+4z=−3
1 answer:
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Answer:
41.67
Step-by-step explanation:
Using the tangent on the stick with shadow:
tan(θ) =
Using the tangent on the building:
tan(θ) =
⇒ h = 25 · tan(θ)
= 25 ·
⇒ h = 41.66... ≈ 41.67
Q) Without a calculator, we must estimate the value of the following expression:
A) I estimate 3 - √38 to be approximately -3.2.
First, we estimate the value of √38. √38 is between √36 and √49, but close to √36 (since 38 is closer to 4 than it is to 9). Since √36 is 6, √38 is probably something like 6.1 or 6.2. Filling 6.2 in the expression and simplifying, we have this:
So, I expect the number 3 - √38 to be close to -3.2.
Using a calculator we find that: 3 - √38 ≅ -3.16, which it is approximately the result that we found.
Answer
Without a calculator we find that 3 - √38 ≅ -3.2.