Answer:
6.3 ft
Step-by-step explanation:
The ladder lying on the wall with an elevation of 39° forms a right angled triangle.
Hypotenuse = length of ladder = 10 ft
Opposite = x = ?
θ = 39°
Use trigonometric ratio formula to find, x, which is how far the ladder goes up the wall.
The trigonometric ratio formula to use is:
sin(θ) = opposite/hypotenuse
Sin(39) = x/10
Multiply both sides by 10
10*sin(39) = x
x = 10*sin(39)
x = 6.29 ≈ 6.3 ft (to nearest tenth)
Answer:
The bottom right function.
Step-by-step explanation:
The bottom right function is the only function with a common ratio.
The answer is:
.
____________________________________________Explanation:____________________________________________We have: " 6⁻¹ * (-2)³ * (-4)⁻² = ? " ;
_______________________________________Note: "6⁻¹ =

=

" .
Note the following property of exponents:
____________________________________ a⁻ˣ =

; {x ≠ 0}.
____________________________________________Note: (-2)³ = (-2)*(-2)*(-2) = 4*(-2) = -8 .
_______________________________________Note: (-4)⁻² =

;
=

;
=

;
____________________________________So; we have:
_____________________________________6⁻¹ * (-2)³ * (-4)⁻² ;
=

;
→ Cancel out the "8" in the "numerator" (to a "1") ; and the "16" in the number (and change to a "2"); since: {"16÷8 = 2" ; and since: "{8÷8=1"} ;
→and we have:

;
=

.
_____________________________________ → The answer is:
.
_____________________________________
4 colour needed for this…i think