Help plzzz plzzz asappp!!!!
1 answer:
Answer:
α = 27.9794744° ≈ 28.0 m (nearest tenth)
Step-by-step explanation:
Step 1:
Opposite (O) = 42.5 (the side opposite to the reference angle, α)
Adjacent (A) = 80
Hypotenuse (H) = the longest side opposite to the right angle
2. We are given the adjacent (A) and opposite (O) lengths, we would use TOA. Which is:
Tan α = Opp/Adj
Plug in the values
Tan α = 42.5/80
3. Make α stand alone
α =
4. α = 27.9794744° ≈ 28.0 m (nearest tenth)
You might be interested in
Answer:
Student Hours worked
April.
Debbie.
Richard.
Step-by-step explanation:
Some data's were missing so we have attached the complete information in the attachment.
Given:
Number of Hours Carl worked on Math project =
can be Rewritten as
Number of Hours Carl worked on Math project =
Number of Hours Sonia worked on Math project =
can be rewritten as
Number of Hours Sonia worked on Math project =
Number of Hours Tony worked on Math project =
can be rewritten as
Number of Hours Tony worked on Math project =
Now Given:
April worked times as long on her math project as did Carl.
can be Rewritten as
Number of Hours April worked on math project =
Number of Hours Carl worked on Math project
Number of Hours April worked on math project =
Also Given:
Debbie worked times as long as Sonia.
can be Rewritten as
.
Number of Hours Debbie worked on math project =
Number of Hours Sonia worked on Math project
Number of Hours Debbie worked on math project =
Also Given:
Richard worked times as long as tony.
can be Rewritten as
Number of Hours Richard worked on math project =
Number of Hours Tony worked on Math project
Number of Hours Debbie worked on math project =
Hence We will match each student with number of hours she worked.
Student Hours worked
April.
Debbie.
Richard.
Answer: y = 2x + 6
Step-by-step explanation:
Here the equation of line,
y = 2x + 1
y-intercept of the line is, (0, 1)
And, the slope of the line is 2.
Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),
Then transformed point are get by,
Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),
Thus, the point of the new line is (0,6)
And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)
Thus, the equation of new line,
(y - 6) = 2 (x - 0)
y - 6 = 2x
y = 2x + 6
