1. A2->B2
2. B2->C2
They are simply asking which equations are the same in system a and b and in system b and c.
Answer:
Part a)
Exact value 24√3 units
Approximate value 41.6 units
Part b) x=52.1 units
Step-by-step explanation:
Part a)
step 1
Find the exact value
Let
h-------> the blue dotted line
we know that
tan(60°)=h/24
h=tan(60°)*24
Remember that
tan(60°)=√3
substitute
h=24√3 units
step 2
Find the approximate value
h=24√3=41.6 units
Part b)
we know that
sin(53°)=41.6/x
x=41.6/sin(53°)=52.1 units
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:
The answer is B. 6 feet.
Step-by-step explanation:
To solve this problem, we must remember that the formula for area of a square is given by A = s^2, where s represents the length of one of the sides.
Since we are given that the area of the square is 36, we can substitute this into the formula to get:
36 = s^2
Then, to solve for s, we should take the square root of both sides, which gives us:
s = 6
Therefore the correct option is B. 6 feet.
Hope this helps!
Answer:
25% of 1000 is 250
Step-by-step explanation:
(<u>25 ÷ 100</u>) × 1000
Divide the numbers
<u>0.25</u> × 1000
<u>0.25 × 1000</u>
Multiply the numbers
<u>250</u>
250