To solve this problem you must apply the proccedure shown below:
1. You have that the lenght ot the board is 6 feet and <span> forms a 60 degree angle with the ground. Therefore, you have:
Sin</span>α=opposite/hypotenuse
α=60°
opposite=x
hypotenuse=6
2. When you substitute the values, you obtain:
Sin(60°)=x/6
3. Now, you must solve for x, as following:
x=6Sin(60°)
x=5.19
Therefore, the answer is: 5.19 feet.
An equation in the form
is the line
that goes through the origins and whose tangent equates
. In general, any equation in the form
is the equation of a line.
Let's denote students in D = in the drama club , S<span> = in a sports team </span>
<span>P(D) = 85/330 </span>
<span>P(S) = 200/330 </span>
<span>
P(D and S) = 60/300 </span>
<span>
P(D or S) = P(D) + P(S) - P(D and S) </span><span>= 85/330 + 200/330 - 60/330 = 15/22 </span>
<span>
P(neither D nor S) = 1- 15/22 </span><span>= 7/22</span>
Make an equation for each statement with x being catcher's mitts and y being outfielder's gloves.
x + 10y = 239.50 and x + 5y = 134.50
Multiply the second equation through by -1 giving -x - 5y = -134.50
Combine the equations vertically
x + 10y = 239.50
-x - 5y = -134.50
giving
5y = 105
y = 21
Now substitute for y:
x + 10(21) = 239.50
x + 210 = 239.50
x = 29.50
Thus, Catchers mitts $29.50 and outfielder's gloves are $21
Answer:
7.5kilometer
Step-by-step explanation:
for 30mins semin runs 5kilometer
then for 1min: (1min×5kilometer)÷30mins,
therefore, for 45mins: (45mins×5kilometer)÷30mins=7.5kilometer
