Answer:
5. 6.1 units
6. 29.4 units
7. 12.8 units
8. 29.1 units
Step-by-step explanation:
5. We have the opposite and adjacent sides here for angle 21 degrees. So we need to use tangent, which is opposite / adjacent:

≈ 6.1 units
6. We have the opposite and hypotenuse sides here for angle 33 degrees. So we need to use sine, which is opposite / hypotenuse:

≈ 29.4 units
7. We have the opposite and adjacent sides here for angle 37 degrees. So we need to use tangent, which is opposite / adjacent:

≈ 12.8 units
8. We have the opposite and hypotenuse sides here for angle 31 degrees. So we need to use sine, which is opposite / hypotenuse:

≈ 29.1 units
Hope this helps!
<span>1km=1000m 160m=0.160x4=0.64
</span>
Step 1: List the numbers in order (Least - Greatest): 2, 2, 5, 5, 19, 19, 25, 25, 28
Step 2: Find the middle number: <span>2, 2, 5, 5, 19, 19, 25, 25, 28
Answer: 19
(Information for further questions): If there are 2 middle numbers, average them. (Add them up and divide by 2)</span>
Answer: x = 4
Step-by-step explanation:
this is just easier to show work for so i hope this helps :)
9514 1404 393
Answer:
(c) 27x^11 +51x^7 +9x^6 -60x^5 +17x^2 -20
Step-by-step explanation:
As with many multiple-choice questions, you only need to look at something that will discriminate the correct answer from the wrong one.
The highest-degree product term is the product of the highest-degree terms in the factors:
(3x^5)(9x^6) = 27x^11
This matches choice C only.
_____
In case you're interested in actually performing the rest of the multiplication, the distributive property applies.
(1 +3x^5)(17x^2 +9x^6 -20)
= 1(17x^2 +9x^6 -20) +3x^5(17x^2 +9x^6 -20)
= 17x^2 +9x^6 -20 +51x^7 +27x^11 -60x^5
Writing these terms in order of decreasing exponents gives ...
= 27x^11 +51x^7 +9x^6 -60x^5 +17x^2 -20