Answer:
<u>1.16 m (approximately)</u>
Step-by-step explanation:
Let x be the width of the path.
Total area = (5+2x)(3+2x) = 39
Expand and simplify
4x²+ 16x+15-39 = 0
4x² + 16x - 24 = 0
Simplify
x² + 4x -6 = 0
Rational factoring does not work, so use quadratic formula
x = +/- sqrt(10) -2
= 1.16 or -5.16 (reject)
= <u>1.16 m (approximately)</u>
Answer:
7 balls
Step-by-step explanation:
Look for the worst case scenario:
Get 3 white, 2 green, and 1 black.
That adds up to: 3 + 2 + 1 = 6.
+1 red ball: 6 + 1 =7
7 balls
Answer:
x=15
Step-by-step explanation:
divide 12/20 by 4 to get 3/5 then multiply by 3 to get your value of x
*see attachment for the diagram of the triangular prism box
Answer:
528.8 in.²
Step-by-step explanation:
Surface area of triangular prism = 2(BA) + P*H
Area of triangular base (BA) = ½*b*h
b = 24.5 in.
h = 12 in.
BA = ½*24.5*12 = 147 in.²
Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.
Height of prism = 4 in.
Plug in the values into the surface area formula:
Surface area of prism = 2(147) + 58.7*4
= 294 + 234.8
= 528.8 in.²
Answer:
Step-by-step explanation:
What is 6 divided by 3/56 ÷ 3 5. The trick to working out 6 divided by 3/5 is similar to the method we use to work out dividing a fraction by a whole number. ... 6 x 5 3 = 30 3. So, the answer to the question "what is 6 divided by 3/5?" ... 30 3. ... 10 1. ... 10 1 = 10.