Answer:
6.25 feet.
Step-by-step explanation:
Let L be the length of the ramp in feet.
We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.
We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.
Upon substituting our given values in above formula we will get,
Therefore, the length of the ramp is 75 inches.
Let us convert the length of ramp in feet.
1 feet = 12 inches.
Therefore, the length of the ramp is 6.25 feet.
Let the numbers be x and y.
x*y=HCF*LCM=6*60=360
thus
y=360/x
next we find the list of combinations of x and y and test if they satisfy the conditions above:
(6,60),(12,30),(18,20),(24,15)
out of the above, only (6,60) and (12,30) satisfy both conditions. Thus our answer is:
(6,60) or (12,30)
Answer:
Is there answer options because if not then it would possibly be y = 45x + 540 or it could be 45x = 540 or it could be 45x/540 so it can be any of those :)
Step-by-step explanation:
Answer:
$215.16
Step-by-step explanation:
Assuming he worked:
Tuesday - 4.14 hours
Wednesday - 3.14
Thursday - 7.14
Friday - 5.14
Add all the hours together: 4.14+3.14+7.14+5.14 = 19.56. Now times the hour by his rate of $11.
19.56(11) = $215.16
Answer:
K+T=20
$9K + $6T = $168
K is the Kentucky blue grass in pounds
T is the Tall fescue in pounds
Step-by-step explanation:
You can start with the first equation. We don't know the exact amounts of each but we know that there was a total of 20 pounds, and there were 2 types of grass seeds, so we can get that the amount of pounds of Kentucky blue grass(K) and the pounds of Tal Fescue(T) has a sum of 20.
K + T = 20
For the second equation we know that there is a sum of $168 so we'll start with that. Then, we know he paid $9 per pound of K so $9* the value of K is the amount paid for Kentucky blue grass total. This can be represented as 9K. We do the same for T, 6T. Since the sum of the cost of $9T and $6K must be $168 we can write this as:
$9K + $6T = $168