Answer:
A. 312 cm²
Step-by-step explanation:
The figure compromises of a rectangle and 2 equal triangles.
Area of the figure = area of the rectangle + area of the two triangles
Area = L*W + 2(½*b*h)
Where,
L = 16 cm
W = 12 cm
b = 12 cm
h = 10 cm
Plug in the values
Area = 16*12 + 2(½*12*10)
= 192 + 120
= 312 cm²
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
Answer:
Twelve-fifths
Step-by-step explanation:
Tan θ = opposite ÷ adjacent
Tan A =24/10
=12/5
Answer:
1st: volume = long x wide x high = 7 x [sqrt(25^2-7^2)] x 4 = 7 x 24 x 4 = 672
2nd: volume = area of base(circle) x high = pi x 9^2 x 8 = ~ 2035.8
3rd = volume = area of base(triangle) x high = [sqrt(3)/4] x 14^2 x 20 = ~1697.4
You can solve this by finding all of the factors of 28 and seeing which ones add up to 22 when doubled.
The factors of 28 are as follows:
28 x 1 28(2) + 1(2) = 56 + 2 = 58 ≠ 22
14 x 2 14(2) + 2(2) = 28 + 4 = 32 ≠ 22
7 x 4 7(2) + 4(2) = 14 + 8 = 22
The dimensions of the rectangle are 4 x 7.
