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
To grandparents house :
140/56 = 2.5 hours
Return trip :
140/50 = 2.8 hours
Total time : 2.8+2.5 = 5.3 hours
You would simplify this expression by adding the coefficients 14 and -5.
Answer: 14 1/8
Step-by-step explanation: To add mixed numbers, first add the fractions. In this case, we have two fractions 
and 
and these fractions have unlike denominators. We need to find a common denominator for both of these fractions to be able to add.
<u>Least Common Denominator:</u>
= 
=
12 4/8 + 1 5/8 = 13 9/8
Notice that 9/8 is an improper fraction so we can change it to a mixed number.
9/8 = 1 1/8
13 + 1 and 1/8 = 14 1/8
Answer:
0.9
Step-by-step explanation:
4/3 by 1.5
to divide 4/3, we have to convert it to decimal too
so 4/3 = 1.333 repeatedly
4/3 by 1.5=1.333/1.5
0.8886
0.9 approximately
