No 2/3 is not equivalent to 5/6
please can i have a brainliest
Answer:
Answers are below in bold
Step-by-step explanation:
1) A = 1/2bh Use this equation to find the area of each triangular base
A = 1/2(8)(6) Multiply
A = 1/2(48) Multiply
A = 12cm² Area of each triangular base
2) A = L x W Use this equation to find the area of the bottom rectangular face
A = 20 x 8 Multiply
A = 160 cm² Area of the bottom rectangular face
3) A = L x W Use this equation to find the area of the back rectangular face
A = 20 x 6 Multiply
A = 120 cm² Area of the back rectangular face
4) A = L x W Use this equation to find the area of the sloped rectangular face
A = 20 x 10 Multiply
A = 200 cm² Area of the sloped rectangular face
5) To find the total surface area of the triangular prism, add together all of the numbers.
A = 12 + 12 + 160 + 120 + 200 Add
A = 504 cm² Total area of the triangular prism
Answer:
1.75 hours
Step-by-step explanation:
Time for day 1 : 4.5 hrs
Time for day 2: (4.5 ×2.5)
Time for day 3: let it be denoted by a variable ,say T.
Total Time= 17.5
(Time for day 1 ) + (Time for day 2) +(Time for day 3) =17.5
4.5 + (4.5×2.5) + T = 17.5
4.5+11.25+T =17.5
15.75+T=17.5
T=17.5-15.75
T= 1.75
Answer:
(x,y,z) = (2,-2,1)
Step-by-step explanation:
Three equations with three variables are given. Take two equations at a time to eliminate one variable.
x + y - z = -1 .....(1)
4x -3y + 2z = 16 .....(2)
2x - 2y - 3z = 5 ......(3)
Solve (1) and (3) to eliminate z.
To do that multiply (1) by 2 and add (1) and (2). We get:
4x - 5z = 3 ......(4)
Now, solve (2) and (3) and subtract them. We get:
2x + 13z = 17 ......(5)
Solve (4) and (5). Multiply (5) by 2 and subtract. We get:
z = 1
Substituting z = 1, in (4) we get: x = 2.
Now to find y, substitute values of x and y in (1).
⇒ x + y - z = -1 ⇒ 2 + y - 1 = -1
⇒ y = -2
∴ Values of (x, y, z) = (2, -2, 1).
