Width = x
Length = x+18
Assuming the table is rectangular:
Area = x(x + 18)
Therefore:
x(x + 18) <span>≤ 175
x^2 + 18x </span><span>≤ 175
Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>
</span>
Answer:
63
Step-by-step explanation:
use tangent formula
Multiply 4k to 7k. Then divide 3t-11t by 7x4. Then square root the rest
Answer:
Option B - 2
Step-by-step explanation:
We have given, the length of a spring when it’s at rest is measured to be 0.56 centimeter.
We have to find, how many significant figures are there in this measurement?
Solution :
The rules to get the significant figure are
- Non-zero digits are always significant.
- Any zeros between two significant digits are significant.
- A final zero or trailing zeros in the decimal portion ONLY are significant.
The given measurement is 0.56 cm.
It has two trailing zeros in the decimal i.e. 5 and 6.
There are only two significant figures.
Therefore, Option B is correct.
Answer: <u>96</u> sq ft.
Step-by-step explanation:
First, we will find the area of the rectangular sides. Since the triangle is an equilateral triangle, all the rectangles will be the same size.
A = L * W
A = (10 ft) * (3 ft)
A = 30 ft²
30 ft² * 3 = 90 ft²
Next, we will find the area of the two triangles.
A = 
A = 
3 ft + 3 ft = 6 ft²
Lastly, we will add them together for the total surface area.
90 ft² + 6 ft² = 96 ft²
