Answer:
47.45754235
31.46697634
Hey do you need to show your work for these? I found an answer key
Step-by-step explanation:
We need to use law of cosines
c²=a²+b²-2abcos(C)
let x= angle xzy
plugging in what we have the equation looks like
17²=22²+20²-2*22*20*cos(x)
289=484+400-880cos(x)
.676136364=cos(x)
x=47.45754235
b.)
The smallest angle should be opposite to the smallest side
Using the law of cosines again we get
9²=13²+17²-2*13*17*cos(x)
81=458-442cos(x)
.852941176=cos(x)
x=31.46697634
7=7, 14, ,21, 28
3= 3, 6, 9, 12, 15, 18, 21, 24
So the LCM of 7 and 3 is 21.
Answer:
B (2,-3) A (7,-8)
Step-by-step explanation:
they are just the same points but in the negative side of the x-axis
Answer:
x = 8
Step-by-step explanation:
Using the sine or cosine ratio in the right triangle and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
x = 8
Since both the length and the width are tripled, the area will be nine times larger. To counter this, divide by nine. 108/9=12 Divide this by 2 to get one length and one width. You get 6. 1+5=6 and 1 is 4 smaller than 5, so the width of this rectangle is 1 cm and the length is 5 cm.
