Please help with all 3
2 answers:
<h2>Ah, volume! </h2>
1) Use the formula of rectangular prism: width x height x length
2) Use the formula of triangular prism: (Base x height x length) ÷ 2
3) Use the formula of cylinder: π x x height
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1)
- width = 5 cm
- height = 9 cm
- length = 23 cm
width x height x length
= 5 x 9 x 23
= 1035
<h2>answer: 1035 cubic centimeters</h2>------------------------------------------------------------------------------------------------
2)
- Base = 5 in
- height = 4 in
- length = 20 in
(Base x height x length) ÷ 2
= (5 x 4 x 20) ÷ 2
= 400 ÷ 2
= 200
<h2>answer: 200 cubic inches</h2>------------------------------------------------------------------------------------------------
3)
- radius = 5/2 = 2.5 m
- height = 12 m
π x x height
= π x x 12
= π x 6.25 x 12
= 75π
= 236 (rounded to neareast whole number)
<h2>answer: 236 cubic meters</h2>You might be interested in
ANSWERS
(5) Graph:
(6) Solutions: (-1, -5) and (-2, -7)
Not solutions: (1, 1) and (-4, -3)
EXPLANATION
(5) To graph this system, first, we have to graph each of the inequalities. Both are linear, so we have to graph each line with a dashed line - this is because they are "less than" the line, so the line is not included, and shade the area below each of them.
The first inequality is y < -3x-4,
The second inequality is y < 2x - 1,
The graph of the system is the area shared by both graphs,
(6) Any point that is inside the shaded area is a solution of the system. For example, points (-1, -5) and (-2,-7) are solutions to the system.
On the other hand, any point outside that area, or on the dashed lines is not a solution. For example, points (1, 1) and (-4, -3) are not solutions
