Answer:
23.54 m
Step-by-step explanation:
Applying
cos∅ = adjacent(A)/hypotenuse(H)
cos∅ = A/H................ Equation 1
make H the subject of the equation
H = A/cos∅............ Equation 2
Given: A = 15 m, ∅ = 25°
Substitute into equation 2
H = 15/cos25
H = 16.55 m
Also,
tan∅ = opposite(O)/Adjacent(A)
tan∅ = O/A............Equation 3
Make O the subject of the equation
O = Atan∅.......... Equation 4
Substituting into equation 4
O = 15(tan25°)
O = 6.99 m.
From the diagram,
The height of the goal post before snap = H+O
The height of the goal post before snap = 16.55+6.99
The height of the goal post before snap = 23.54 m
Given data:
The first equation is 3j +14=-5z.
The second equation is -10j=5z .
Add both the equations.
Substitute 2 for j in the first equation.
Thus, the value of j is 2 and z is -4.
Answer:
0.6 inches a year.
Step-by-step explanation:
Earths land masses move toward and away each other at an average rate of about 0.6 inches a year.
To find the area mulitply 10 by 12 and you get 120. The is answer is 120sq. ft.
Answer:
In lowest terms, there is a 1/3 probability of Jason pulling out a baseball card.
Step-by-step explanation:
There are a total of 6 cards. 4/6 of them are football and wrestling which results in 2 baseball cards. So the probability is 2/6 but since the question wants it in lowest terms, you would have to simplfy 2/6. Divide the top by 2 and the bottom by 2 which gets you 1/3.