Step-by-step explanation:
S = { 1, 2, 3, 4, 5, 6 7, 8 }
n ( S ) = 8
Let A be the event of getting 4,
A = { 4 }
n ( A ) = 1
P ( A )
= n ( A ) / n ( S )
= 1 / 8
Therefore, the probability of spinning a 4 is 1 / 8.
S = { A, B, A, C, A, B }
n ( S ) = 6
Let Y be the event of getting C,
Y = { C }
n ( Y ) = 1
P ( Y )
= n ( Y ) / n ( S )
= 1 / 6
Therefore, the probability of spinning a C is 1 / 6.
Step-by-step explanation:
<u>Volume of a triangular prism = 1/2 × lbh</u>
<u>Volume of a triangular prism = 1/2 × lbhSo, from given options, we can select 39 x 2 = 13 × 3 × 2 as the expression that represents the volume of the prism, with 13 as the height or length of the prism.</u>
Answer:
5y
Step-by-step explanation:
10
Answer:
0
Step-by-step explanation:
<h2><em>2</em><em>x</em><em>-</em><em>6</em><em>+</em><em>1</em><em>5</em><em>x</em><em>+</em><em>5</em><em>-</em><em>1</em><em>6</em><em>x</em><em>=</em><em>x</em></h2>
<h2><em>2</em><em>x</em><em>+</em><em>1</em><em>5</em><em>x</em><em>-</em><em>1</em><em>6</em><em>x</em><em>-</em><em>x</em><em>=</em><em>6</em><em>-</em><em>5</em></h2><h2 /><h2 /><h2><em>0</em><em>×</em><em>x</em><em>=</em><em>1</em></h2><h2 /><h2 /><h2 /><h2><em>x</em><em>=</em><em>1</em><em>÷</em><em>0</em></h2><h2 /><h2 /><h2><em>x</em><em>=</em><em>0</em></h2>
Answer:
The sidewalk is 2 feet wide
Step-by-step explanation:
The area of the sidewalk is given as 80 square feet
The length and width of pool
including side walks will be;
10 + 2x and 6 + 2x
To get the area of the side walk
That will be area of total minus area of the pool
That will be ;
(10 + 2x)(6 + 2x) - 10(6) = 80
60 + 12x + 20x + 4x^2 - 60 = 80
4x^2 + 32x -80 = 0
x^2 + 8x -20
x^2 + 10x - 2x - 20 = 0
x(x + 10) -2(x + 10) = 0
(x-2)(x + 10) = 0
x = 2 or -10
since width cannot be negative;
The sidewalk is 2 feet wide
