Answer:
y ≈ 5.2
Step-by-step explanation:
∠ F = 180° - (42 + 48)° ← sum of angles in a triangle
∠ F = 180° - 90° = 90°
Thus Δ DEF is right at F
Using the sine ratio in the right triangle
sin48° = 
= 
= 
( multiply both sides by 7 )
7 × sin48° = y , then
y ≈ 5.2 ( to the nearest tenth )
Answer:
8/5 < x< 12/5
Step-by-step explanation:
(2 - x)^2 < 4/25
Take the square root of each side
sqrt((2 - x)^2) <±sqrt( 4/25)
Make two equations
2-x < 2/5 2-x > -2/5
Subtract 2 from each side
2-x-2 < 2/5 -2 2-x-2 > -2/5-2
-x < 2/5 - 10/5 -x > -2/5 - 10/5
-x < -8/5 -x > -12/5
Multiply by -1, remembering to flip the inequality
x> 8/5 x < 12/5
8/5 < x< 12/5
Answer:
y=-0.25x+1.25
Step-by-step explanation:
hope this helps u
Answer:
21+3t
If really want equation answer it would be -7 but it simplifying. :)
Step-by-step explanation:
6(4+t)-3(t+1)
Simplify parenthesis first.
24+6t-3t-3
Simplify like terms
24-3+6t-3t
21+3t
Answer:
a. 11x + d
b. 15m + 10n
Step-by-step explanation:
a. 2(4c+5d) + 3(x-3d)
Break the brackets:
2*4c + 2*5d + 3*x - 3*3d
= 8x + 10d + 3x - 9d
Collect like termsL
= 8x + 3x + 10d - 9d
= 11x + 1d
b. 6(3m+n) - 4(m-n)
Break the brackets:
= 6*3m + 6*n - 3*m - 4*(-n)
= 18m + 6n - 3m - (-4n)
= 18m -3m + 6n + 4n
= 15m + 10n
Hope this helped :3
