Answer:
Height = 21.78 ft
Step-by-step explanation:
Tan θ = opposite / Adjacent
tan 40 = opposite / 20
where opposite is the part of the traffic light
0.839 × 20 = opposite
opposite = 16.78 ft
Now the total height of traffic light = 16.78 ft +5 ft
Total Height = 21.78 ft
Answer:
186.5 + 2x
Step-by-step explanation:
First, radify 25. Luckily it's a perfect square so it will be 5.
Second, divide within the parentheses. You're expression should look like this.
(93-5+x+42/8)2
Divide 42/8. The decimal form would be 5.25, while the fraction should be 5 1/4.
Third, solve within the parentheses from left to right. Right now you're expression should look like this:
(93-5+x+5.25)2
Add all like terms
93-5+5.25=93.25
Fourth, multiply. Right now the expression should look like this:
(93.25 + x) 2
186.5 + 2x
Answer:
see explanation
Step-by-step explanation:
To determine which ordered pairs are solutions to the equation
Substitute the x and y values into the left side of the equation and if equal to the right side then they are a solution.
(- 1, - 6)
3(- 1) - 4(- 6) = - 3 + 24 = 21 = right side ← thus a solution
(- 3, 3)
3(- 3) - 4(3) = - 9 - 12 = - 21 ≠ 21 ← not a solution
(11, 3)
3(11) - 4(3) = 33 - 12 = 21 = right side ← thus a solution
(7, 0)
3(7) - 4(0) = 21 - 0 = 21 = right side ← thus a solution
The ordered pairs (- 1, - 6), (11, 3), (7, 0) are solutions to the equation
Gabby's recipe calls for 3 1/3 pounds of flour. If you divide 3 1/3 by 1/6, you get 5 measuring cups full. (1/3 is 2/6 so you add 2+3)
6x=-5y
-5y=6x
so the answer is y=-6/5x
