From the facts given, the swimming pool and the floor of the gym has the same in size. The pool has a dimension of 75 ft by 60 ft. Basically, the possible size of the gym floor is also 75 ft by 60 ft.
Length of AB is 18
Step-by-step explanation:
- Step 1: Find length of AB when AC = 9√3 and ∠B = 60°. Use trigonometric ratio sine.
sin 60 = opposite side/hypotenuse = 9√3/x
x = 9√3/sin 60
= 9√3/√3/2 = 9√3 × 2/√3 (∵ a ÷ b = a×1/b)
= 18
Answer:
x=i or no solution exists depending on the user's grade
Step-by-step explanation:
f(x) = 2x^2-5
-7 = 2x^2-5
-2 = 2x^2, x^2=-1, x=i
Answer:
17.6 m²
Step-by-step explanation:
Given the ratio of similar shapes = a : b, then
area of shapes = a ² : b²
Δ PTQ and Δ PRS are similar and so the ratio of corresponding sides are equal, that is
PT : PR = 6 : 9 = 2 : 3, thus
ratio of areas = 2² : 3² = 4 : 9
let the area of Δ PQT be x, then using proportion
= 
( cross- multiply )
9x = 4(x + 22) ← distribute
9x = 4x + 88 ( subtract 4x from both sides )
5x = 88 ( divide both sides by 5 )
x = 17.6
Thus area of Δ PQT = 17.6 m²
Answer:
The dimensions of the park on the scale drawing are 12 inches by 20 inches
The actual dimensions are given as:
Park = 600 feet by 1000 feet
Swing set = 25 feet by 100 feet
The dimension of the swing set on the scale drawing is given as: 0.5 inch by 2 inches
The above means that, the scale factor (k) is:
--- i.e. divide the scale measurement by the actual measurement
Evaluate both equations
So, we have:
Multiply the scale factor by the dimensions of the park, to get the scale measurement
Hence, the dimensions of the park on the scale drawing are 12 inches by 20 inches
Read more about scale measurements at:
brainly.com/question/24579126
Step-by-step explanation:
