Puppy Liz has to run approx 70ft to get to fire hydrant from the bench post.
Step-by-step explanation:
Let bench post be point A, fire hydrant be B and electrical post bottom be C and top be O.
We are given CO = 40ft
and angle BOC = 34°
angle AOC = 34 +23 = 57°
Let AB be y and AC be x
Clearly two right triangles are formed.
We can say,
In triangle BOC,
cos34° = Perpendicular ÷ Base = x÷40 => x = 40cos34°
and In triangle AOC
cos57° = Perpendicular ÷ Base = (x+y)÷40
substituting value of x from first equation to second we get,
40cos57° = 40cos34° + y
y = 40(cos57° - cos34°)
y = 40x1.75
y = 70ft which is the required answer.
The simplified form of the expression is 729x^33
Answer:
Nine
Step-by-step explanation:
The smallest number of buns is one pack or 9 buns.
If there is one hot dog per bun, the smallest number of hot dogs is nine.
Answer:
Instead of moving right 4 times and up 7 times, John moved left 4 times and down 7 times.
Step-by-step explanation:
(x + 4, y + 7) = Right 4, Up 7
NOT
(x - 4, y - 7) = Left 4, Down 7
Answer:
8a. x = 16√3
8b. y = 8√3
Step-by-step explanation:
8a. Determination of the value of x
Adjacent = 24
Hypothenus = x
Angle θ = 30°
The value of x can be obtained by using cosine ratio as illustrated below:
Cos θ = Adjacent /Hypothenus
Cos 30 = 24 / x
√3/2 = 24/x
Cross multiply
x × √3 = 2× 24
x × √3 = 48
Divide both side by √3
x = 48/√3
Rationalise
x = 48/√3 × √3/√3
x = 48√3 / √3 × √3
x = 48√3 / 3
x = 16√3
8b. Determination of the value of y
Opposite = y
Adjacent = 24
Angle θ = 30°
The value of y can be obtained by using Tan ratio as illustrated below:
Tan θ = Opposite / Adjacent
Tan 30 = y / 24
1 / √3 = y /24
Cross multiply
y × √3 = 1 × 24
y × √3 = 24
Divide both side by √3
y = 24 /√3
Rationalise
y = 24 /√3 × √3/√3
y = 24 ×√3 / √3 × √3
y = 24√3 / 3
y = 8√3
