A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.
1 answer:
Answer:
The average yearly salary of the architect is <u>$62,000</u> and the lawyer is <u>$100,000</u>.
Step-by-step explanation:
Given:
The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.
Combined, an architect and a lawyer earn $ 210 thousand.
Now, to find the average yearly salary of an architect and a lawyer.
Let the average yearly salary of an architect be
So, the average yearly salary of the lawyer =
Combined, architect and lawyer earn =
Now, to get the average salary of the architect and lawyer:
<em>Adding both sides 24000 we get:</em>
<u>The average salary of architect = $62,000.</u>
Now, to get the average salary of lawyer by substituting the value of :
<u>The average salary of lawyer = $100,000.</u>
Therefore, the average yearly salary of the architect is $62,000 and the lawyer is $100,000.
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Given:
The graph of a function .
To find:
The interval where .
Solution:
From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So, for
and
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The function between x=0 and x=3.6 lies below the x-axis. So, for
.
Now,
For , the graph of h(x) is above the x-axis. So,
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For , the graph of h(x) is below the x-axis. So,
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For , the graph of h(x) is below the x-axis. So,
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Only for the interval , we get
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Therefore, the correct option is A.
Answer:
43.75 ft²
Step-by-step explanation:
= (l√(w/2)² + h²) + (w√(l/2)² + h²)
l & w become 3.5, and h becomes 6.
<em /><em> </em>= (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)
<em>Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.</em>
<em /> = 2(3.5√(3.5/2)² + 6²)
<em>Step 2: Divide 3.5 by 2 to get 1.75.</em>
<em /><em> </em>= 2(3.5√1.75² + 6²)
<em>Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.</em>
= 2(3.5√3.0625 + 36)
<em>Step 4: Add 3.0625 and 36 to get 39.0625.</em>
<em /> = 2(3.5√39.0625)
<em>Step 5: The square root of 39.0625 is 6.25.</em>
<em /><em> </em>= 2(3.5 * 6.25)
<em>Step 6: Multiply 3.5 by 6.25 to get 21.875.</em>
<em /> = 2(21.875)
<em>Step 7: Multiply 2 by 21.875 to get 43.75.</em>
<em /> = 43.75 ft²
The lateral area of this pyramid is 43.75 ft².
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