legs of the triangles
Each triangle 30-60-90 is:
one leg: 15 ft => short diagonal = 2 * 15ft = 30ft
other leg, x:
tan(30) = 15 / x => x = 15 ft / tan(30) = 25.98 ft
=> long diagonal = 2 * 25.98ft = 51.96 ft
side of the rhoumbus = hypotenuse of one triangle
side of the rhombus = √ [ (15)^2 + (25.98)^2 ] = √(900) = 30 ft
Area of the rhombus:
4 * area of one triangle = 4 [base*height/2] = 4*15*25.98/2 = 779.43 ft^2
The shortest distance accross the garden is equal to the side of the rhombus = 30 ft
A. 48 ft^2
Area of a rectangle is bh
12 * 4 = 48
Answer:
2 5/14
Step-by-step explanation:
Quotient of ¾ and ½:
¾ ÷ ½ = ¾ × 2 = 3/2
1 ⅘ = 9/5
2 1/7 = 15/7
Their product: 9/5 × 15/7 = 27/7
Difference:
27/7 - 3/2
Lcm: 14
[2(27) - 7(3)]/14
(54-21)/14
33/14
2 5/14
Answer:
45.84
Step-by-step explanation:
hope that helps
Set up a proportion.
12 cupcakes/ 0.5 hrs= 144 cupcakes/ x hrs
12*12=144
0.5*12=6=x
Final answer: 6 hrs
