Answer:




Step-by-step explanation:
Given


Required
Select Yes or No for the given options

Considering the sine of angle B, we have:


Make AB, the subject


Considering the cosine of angle B, we have:


Make AB the subject


Considering the cosine of angle B, we have:


Make AB the subject


<em>This has been shown in (c) above</em>
Answer:
Part a) The measure of the sides of triangle DEF are



Part b) Is a scalene triangle
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to

we have the coordinates
D(8,-6) E(-1,-3) F(-2,5)
step 1
Find the length side DE
D(8,-6) E(-1,-3)
substitute in the formula



step 2
Find the length side EF
E(-1,-3) F(-2,5)
substitute in the formula



step 3
Find the length side DF
D(8,-6) F(-2,5)
substitute in the formula



step 4
Classify the triangle by the measure of its sides
we have



so
Is a scalene triangle, because is a triangle in which all three sides have different lengths.
Answer:
incorrect
Step-by-step explanation:
the volume of a cube = s³ ( where s is the length of the side )
to find s take the cube root
s =
= 3
since 3 × 3 × 3 = 27
t he number of views expected to be four weeks from now can
be calculated using the equation:
F = P ( 1+i)^n
Where F is the future views
P is the present views
i is the percent increase in views
n is the number of weeks
F = 15 ( 1+ 0.22)^4
F = 33 views
Answer:
(0,6)
Step-by-step explanation:
The given system of equations is

and

We substitute the first equation into the second equation to get:

We expand to get:

We group similar terms to get:



Put x=0 in to the first equation to get:

Therefore the solution is (0,6)