Answer:
Width is 72 cm and the length is 108 cm
Step-by-step explanation:
Since the scale is 4 cm:30 ft
Divide both the width and length of the rectangle playground to match the dimensions of Martina's scale model.
540÷30=18 ft 810÷30=27 ft
To match the Martina's scale model of 4 cm:30 ft, multiply 18 ft and 27 ft by 4
Answer:
base = 18.89
legs = 16.89
Step-by-step explanation:
x + x + 68 = 180
2x + 68 = 180
2x = 112
x = 56
The altitude = 14
Tan(56) = opposite / adjacent
adjacent = base
opposite = altitude
Tan(56) = opposite / base Multiply both sides by the base
base * Tan(56) = opposite Divide by Tan(56)
base = opposite / Tan(56)
base = 14/tan(56)
base = 9.443
The base is actually twice this length because the altitude lands on the midpoint of the opposite side and is perpendicular to the third side (base).
base = 18.886
Legs are the hypotenuse formed by 1/2 the base and the attitude.
Sin(56) = opposite / hypotenuse
Sin(56) = altitude / hypotenuse
hypotenuse = altitude / Sin(56)
hypotenuse = 14 / sin(56)
hypotenuse = 16.887
Rounded
base = 18.89
legs = 16.89
Answer:
Option B is correct.
sum of given geometric series is, 255
Step-by-step explanation:
Evaluate the geometric series: 
we can write this as:
Formula for the sum of the geometric series:
for r > 1
where
a is the first term
n is the number of terms
r is the common ratio
In the given series:
common ratio (r) = 2>1, n = 8 and first term(a) = 1
Since,
and so on...
then substitute the given values in [1] we have;
or
Therefore, the sum of given geometric series is, 255
3 1/4 inches long,
1/2 inch in 1 month1 inch in 2 months
The answer is, 3 1/4 inches + 1 inch = 4 1/4
