<span>6. 9 + 11y – y2 + y3 – 4y4
This expression has 5 terms.
7. </span><span>(2a + 3b) + 4c = 2a + (3b + 4c)
Associative property of addition, because you're moving the parentheses.
</span><span>
8. </span><span>If m = 4 and n = 4, then m = n
Substitution property.
9. </span><span>-9 + 5 – (-2) + 17
-4 - (-2) + 17
-2 + 17
15
10. </span><span>- 35 - (- 13 )
-22
11. -40 + 23 - 19 + 31
-17 - 19 + 21
36 + 21
57
12.</span><span> (-2)³
-2 * -2 * -2
-8
13. - 925
14. </span><span>15(3y – 5)
45y - 75
15. (7 + 6w)6
42 + 36w
16. </span><span>3n+57
17. 9p-63</span>
Given:
Angle A = 18.6°
Angle B = 93°
Length of side AB = 646 meters
To find:
the distance across the river, distance between BC
Steps:
Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.
18.6° + 93° + ∠C = 180°
111.6° + ∠C = 180°
∠C = 180° - 111.6°
∠C = 68.4°
Therefore the measure of angle C is 68.4°.
now we can use the law of Sines,


![BC[sin(68.4)] = 646 [sin(18.6)]](https://tex.z-dn.net/?f=BC%5Bsin%2868.4%29%5D%20%3D%20646%20%5Bsin%2818.6%29%5D)



meters
Therefore, the distance across the river is 222 meters.
Happy to help :)
If anyone need more help, feel free to ask
There really aren't any steps. It's just a handy fact about Isosceles triangles.
An Isosceles triangle is a triangle that has two sides that are the same length,
and one of the facts about this kind of triangle is that the angles opposite the
two equal sides are equal angles.
In your picture, the two sides of the triangle that have tick marks across them
are equal lengths, and that means that the angles at 'S' and 'U' are equal angles.
In this kind of triangle, those are called the "base angles", even though they
don't necessarily have to be the angles that the triangle stands on. They're
just the two angles that are opposite the two equal sides.
Answer:
The expected value for the random variable is 14.16.
Step-by-step explanation:
We are given the following data below;
Z P(Z) 
9 0.16 1.44
12 0.25 3
15 0.36 5.4
18 0.17 3.06
21 <u> 0.06 </u> <u> 1.26 </u>
Total <u> 1 </u> <u> 14.16 </u>
Now, the expected value for the random variable Z is given by;
E(Z) =
= 
= 14.16.