<span>The ratio of the corresponding side lengths of similar triangles is called the <u>scale </u>factor.
This means that </span><span> all the sides of the small figure are multiplied by the same number to obtain the lengths of the corresponding sides of the large figure.</span>
Answer:
$0.06 per square inch
Step-by-step explanation:
The question should be:
<em>"If tile costs $8.50 per square foot, how much does it cost per square inch?"</em>
<em />
To solve this, we basically need a conversion from feet to inches. BUT 2 times, since we are talking about "square feet" and "square inches".
We know 1 feet = 12 inches
Also, since we are going from square feet to square inches [big to small], we have to divide TWICE.
Thus, we will have:
We are dividing 8.5 (the cost) by 12, 2 times since we want square feet in square inches. The answer is:
So, tile costs $0.06 per square inch
The answer is 46°.
The measure of an inscribed angle is equal to (1/2) the measure of the intercepted arc.
That means that, since ADC is 23 degrees, doubling that gives you 46 degrees, the measure of the intercepted arc.
Central angles are equal to the measure of the intercepted arc, which in this case is the same arc we just calculated.
Therefore it's 46.
Please: Use "^" to denote exponentiation: <span>2x^2 + 8x - 12 = 0
Reduce this by div. every term by 2: </span><span>x^2 + 4x - 6 = 0
Here a=1, b=4 and c = -6. Square half of b, obtaining (4/2)^2 = 4, and add, and then subtract, this 4 to x^2 + 4x - 6:
</span> x^2 + 4x +4 - 4 - 6 = 0. Rewrite the square as (x+2)^2, obtaining new equation
(x+2)^2 = 10. Take the sqrt of both sides: x+2 = plus or minus sqrt(10).
Finally, solve for x: x = -2 plus or minus sqrt(10).
