Answer:
8
Angle 1= RQS and STU
Angle 2= RSQ and TSU
Similar due to Angle Angle
9
15:24
15x=7
24x= 7/15*14= 11.2
10.
10:2
15=10x
2x=3
11.
20:8
8x=10
x=5/4
15-4-5=5/4.
Answer:
4/3 or 1 1/3
Step-by-step explanation:
cube root of 64 = 4
cube root of 27 is 3
4/3 or 1 1/3
Answer:
If the nth term is n^-5,
Then the first term will be (1)^-5=1
Second term will be (2)^-5= 1/32
3rd term=(3)^-5 = 1/243
So, 10th term will be (10)^-5=1/100000
Answer:
m(slope) = -5
Step-by-step explanation:
y2-y1/x2-x1
2+3/-2+1 = -5
Answer:


Step-by-step explanation:
we are given two <u>coincident</u><u> points</u>

since they are coincident points

By order pair we obtain:

now we end up with a simultaneous equation as we have two variables
to figure out the simultaneous equation we can consider using <u>substitution</u><u> method</u>
to do so, make a the subject of the equation.therefore from the second equation we acquire:

now substitute:

distribute:

collect like terms:

rearrange:

by <em>Pythagorean</em><em> theorem</em> we obtain:

cancel 4 from both sides:

move right hand side expression to left hand side and change its sign:

factor out sin:

factor out 2:

group:

factor out -1:

divide both sides by -1:

by <em>Zero</em><em> product</em><em> </em><em>property</em> we acquire:

cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta

divide both sides by 2:

by unit circle we get:

so when θ is 60° a is:

recall unit circle:

simplify which yields:

when θ is 300°

remember unit circle:

simplify which yields:

and we are done!
disclaimer: also refer the attachment I did it first before answering the question