Answer:
50-25 2/3 - 9 3/4 - 8 1/2 = 6 1/12
Step-by-step explanation:
To do this without a calculator you need to get common denominator
a good choice would be 12 for the common denominator
50 x 12 = 600
25 x 12 = 300
convert to 2/3 to x/12, multiply top and bottom by 4
2/3 x 4 = 8/12
add this to the 300 to get 308/12
same with the other terms
9 x 12 = 108
convert 3/4 to x/12, multiply top and bottom by 3
3/4 x 3 = 9/12
add this to the 108 to get 117/12
and do the same for the 8 1/2
8x 12 = 96
convert 1/2 to x/12, multiply top and bottom by 6
1/2 = 6/12, add this to the 96
do the subtraction and simplify
Answer:
From the photo above i interpreted the question and drew a triangle to make it easier to solve
Tan is used to solve the question as we were given opposite (as height of the cliff) and to find Adjacent ( the distance between the foot of the cliff to the boat)
Tan θ =Opp/Adj
Tan 22°=15/a
Cross Multiply
aTanθ=15°
Divide both sides by Tan 22
aTan22/Tan22 = 15/Tan 22
a = 15/Tan 22°
a = 37.13 m
Therefore the distance between the foot of the cliff to the boat is 37.13 metres
Answer:
Area of rectangle = 225/2 or 112.5
Step-by-step explanation:
Given,
Consider a rectangle ABCD.
Let AC be a diagonal of rectangle of length = 15
In triangle ABC.
Sin 45° =height/hypotenuse {SinФ = height / hypotenuse}
Here, hypotenuse = diagonal of rectangle ( i.e AC = 15)
And height is AB
Therefore, sin 45° = AB/AC
or sin 45° = AB / 15
or 1/√2 = AB /15
AB = 15/√2
Similarly we can find Base (i.e BC) using cosine.
Cos 45° = Base/Hypotenuse
Cos 45° = BC / AC
or 1/√2 = BC/15
BC = 15/√2
Hence we got length of rectangle , AB= 15/√2
And width of rectangle , BC = 15/√2
Therefore, area of rectangle = Length × Width
Area of rectangle = 15/√2 × 15/√2 = 225/2
Hence, area of rectangle = 225/2 = 112.5
Answer:
you balance your stretching
Step-by-step explanation:
