Answer:
He did NOT apply the distributive property correctly for 8(1 + 2i)
Answer:
k = 13
Step-by-step explanation:
Matrix is;
A =
[2 -5 9]
[-1 3 -5]
[ 7 1 k ]
Number of unknowns is less than the rank of 2. Thus, the determinant has to be zero for us to find k.
Thus, we have;
2((3 × k) - (-5 × 1)) -(-5)((-1 × k) - (-5 × 7)) + 9((-1 × 1) - (7 × 3)) = 0
Simplifying further gives;
2(3k +5) + 5(-k + 35) + 9(-22) = 0
6k + 10 - 5k + 175 - 198 = 0
k - 198 + 185 = 0
k - 13 = 0
k = 13
I'm pretty sure the answer is A) 15 I could be wrong though
Answer:
11) 
12) 
13) 
14) 
15) 
16) 
Step-by-step explanation:
For these problems I used the pythagorean theorem:
and SOHCAHTOA
Sin = 
Cos = 
Tan = 
11)
First find the length of the bottom side by using Cos



Then plug it into the formula for the pythagorean theorem to find the hypotenuse




12)
Find the length of the bottom side using Cos



Then plug it into the formula for the pythagorean theorem to find the hypotenuse




13)
Find the length of the other side by using Tan



Then plug it into the formula for the pythagorean theorem to find the hypotenuse




14)
(This is probably an easier way to do these problems)
Find the hypotenuse by using Cos (
)




15)
Find the hypotenuse using Sin (
)



16)
Find the hypotenuse using Cos (
)




<h2><u>Oblique Cylinder</u></h2>
<h3>how do you find the volume of this slanted cylinder?</h3>
<u>Given:</u>
- Height - 8 yd
- Radius - 3 yd
To find the volume of an oblique cylinder, use the formula V = πr²h where,
- V - Volume
- π - Pi (3.14 is the value)
- R - Radius
- H - Height
We can substitute the given values to the formula.
- V = πr²h
- V = (3.14)(3²)(8)
- V = (3.14)(9)(8)
- V = (3.14)(72)
- V = 226.08
<u>Answer:</u>
- The volume of the oblique cylinder is <u>226.08 cm³</u>.
Wxndy~~