Answer:
Below in bold
Step-by-step explanation:
The sequence is:
3, x, y, 18
If this is an A P then
x - 3 = y - x
2x - y = 3 (A) and
y - x = 18 - y
2y - x = 18 (B)
Multiply (A) by 2:
4x - 2y = 6 (C)
Adding B and C:
3x = 24
x = 8.
and
2y - 8 = 18
2y = 26
y = 13.
So x = 8 and y = 13.
b) ar + ar^2 = 6ar^3 where a = first term and r = common ratio
Divide by a:
r + r^2 = 6r^3
6r^3 - r^2 - r = 0
r(6r^2 - r - 1) = 0
r(3r + 1)(2r - 1) = 0
So the 2 possible values of r
= -1/3 and 1/2.
i) The common ratio is positive so it must be 1/2.
Second term ar = 8
1/2 a = 8
a = 16.
So the first 6 terms are:
16, 8, 4, 2, 1, 1/2.
Answer: <em>A. 241 feet</em>
Step-by-step explanation:
<em>The figure shows two rectangular triangles.
</em>
<em>These triangles are similar since they have two identical angles:
</em>
<em>the first angle is 90 degrees;
</em>
<em>the second angle is equal because the law of reflection states that the angle of incidence is equal to the angle of reflection.
</em>
<em>The law of reflection states that the angle of incidence is equal to the angle of REFLECTION.</em>
<em>Let's make the proportion:</em>
<em />
<em />
<em>It takes a minimum of 100 feet for a parachute to open and safely land without injury, so:</em>
<em>341.25 - 100 = 241.25 (feet)</em>
<em>241.25 ≈ 241 (feet)</em>
Answer:
YW=7 because it is congruent to the other bisector ZX.
Answer:
affirmative action
Step-by-step explanation:
Answer:
First we less the sum of 56% and 16% from 100% to get our percentage of visitors under 12.
Percentage of visitors under twelve = 28%
Then we take 28% of 1,575.
Easiest done if we use the fraction .28 instead of 28%.
Number of visitors under twelve= 441
Step-by-step explanation:
