the answer is 2 1/2
Step-by-step explanation:
You just double 1/2 and that gets you 2/2 which equals 1 whole. So since you multiplied 1/2 by 2 you do the same to the 1 1/4 (1 1/4 times 2 = 2 1/2)
Answer:
Step-by-step explanation:
The correct question is shown in the image attached below.
Recall that: the line m is parallel to line n. In addition to that, and , and is bisected by line s.
At this moment, by the angle addition postulate, angle DEF i.e.
∠DEF
∠DEF = 50° + 48°
∠DEF = 98°
Similarly, using the rule of the alternate exterior angle ∠DEF = ∠ABC (∵ alternate exterior angles exhibit congruency).
Furthermore, By the definition of a bisector, angles 4 and 5 are congruent due to the fact that the line of a bisector splits the angle into two equal parts.
m∠4 = m∠5
∴
98/2 = 49°
Finally;
from the diagram, angle 3 and 4 are vertical angles
Thus, m∠3 = 49 by substitution property of equality ( because vertical angles are congruent angles).
Step-by-step explanation:
Let √x - 1/√x = a
Squaring both the sides,
x + 1/x - 2 = a^2
Putting the value,
3–2√2 + 1/(3–2√2) - 2 = a^2
a^2 = 1 - 2√2 + 1/(3–2√2)
= [(3–2√2) (1–2√2) + 1] / 3–2√2
= {3 - 8√2 + 9} / 3–2√2
= [12 - 8√2] / 3–2√2
Rationalising both the sides
= {(12 - 8√2)(3+2√2)} ÷ (9–8)
= 36 + 24√2 - 24√2 + 16(2)
= 36 - 32
=> 4
a^2 = 4
a = √4
a = 2, -2
So,
√x - 1/√x = a = 2, -2.
You add extra zeroes until all numbers have the same quantity. in this case, 2.303 has three numbers after the decimal, so the other three number need it too. 2.300, 2.330, and 2.030. now that you have all of them looking the same now, you can tell which is least and work from there: 2.030 is the least, then 2.300, 2.303 then 2.330 is the largest.
Hello there! For this question, because the revenue increases, we will be compounding. The formula for coompounding is P(1 + r)^t, where P = initial amount, r = rate in decimal form, and t = time in years. First, let's add 1 into the rate. 3.5% is 0.035 in decimal form. 1 + 0.035 is 1.035. 1995 is 5 years from 1990 and 2006 is 16 years from 1990. Let's start by raising it to the 5th power. 1.035^5 is 1.187686306. Do not delete the number from your calculator. Multiply it by 250,000. When you do, you get 296,921.5764 or 296,921.58 when rounded to the nearest hundredth. We solved for 1995. Now, let's solve for 2006. 1.035^16 is 1.73398604. Again, do not delete the number from your calculator. Multiply by 250,000. When you do, you get 433,496.509957 or 433,496.51 when rounded to the nearest hundredth. There. Here are your answers:
1995: $296,921.58
2006: $433,496.51