Answer: 9.19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is distance between the top of the ladder and the ground.
Replacing with the values given:
Sin 45 = x/ 13
Solving for x
sin45 (13) =x
x= 9.19 ft
Feel free to ask for more if needed or if you did not understand something.
Hi,
81 is 37.5% of 216.
"1. We assume, that the number 37.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 37.5, so we can write it down as 100%=37.5.
4. We know, that x% equals 81 of the output value, so we can write it down as x%=81.
5. Now we have two simple equations:
1) 100%=37.5
2) x%=81
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=37.5/81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 81 is what percent of 37.5
100%/x%=37.5/81
(100/x)*x=(37.5/81)*x - we multiply both sides of the equation by x
100=0.46296296296296*x - we divide both sides of the equation by (0.46296296296296) to get x
100/0.46296296296296=x
216=x
x=216 "
Have a great day!
Answer: Roses= 75, Sunflowers= 45
Step-by-step explanation:
Add the ratios- 5 + 3 = 8
Divide the total by the sum = 120 ÷ 8 = 15
Multiply the ratios- 5 x 15 = 75 and 5 x 3 = 45
∴ 5:3 = 75 , 45
Answer:
24
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
29 + 11 + 38 + 27 + 41 = 151
rounded to the nearest 10 =
30 + 10 + 40 + 30 + 40 = 150
