Answer:
(2,-3)
x=2 y=-3
Step-by-step explanation:
2x+y=1 y=1-2x
3x+2y=0
3x+2(1-2x)=0
3x+2-4x=0
-x+2=0
-x=-2
x=2
2x+y=1
2(2)+y=1
4+y=1
y=-3
Answer:
1 theater room holds 115 people, it says that each showing was filled so that means that there were 115 for every 1 showing. There were 16 showings, so you multiply 115 x 16 which equals to 1,840 people.
Answer:
Part A
The total surface area of the triangular prism is approximately 1715.793 cm³
Part B
The volume of the triangular prism is 1,476 cm³
Step-by-step explanation:
Part A
The given parameters are;
The shape of the cross-section of triangular prism = Right-angled isosceles triangle
The length of one the of the equal side = 6 cm
The length of the prism = 82 cm
Therefore, the height of the triangular cross section of the prism = 6 × sin(45°) = 3·√2 cm
The base length of the cross section, l = √(6² + 6²) = √72 = 6·√2 cm
The area of the triangular cross section of the triangular prism = 1/2 × Base × Height
∴ The area of the triangular cross section of the triangular prism = 1/2 × 6·√2 cm × 3·√2 cm = 18 cm²
The total surface area of the triangular prism = 6 × 82 × 2 + 82 × 6×√2 + 2 × 18 ≈ 1715.793 cm³
The total surface area of the triangular prism ≈ 1715.793 cm³
Part B
The volume of the triangular prism = The area of the triangular cross section × The length of the triangular prism
∴ The volume of the triangular prism = 18 cm² × 82 cm = 1,476 cm³.
Answer:
I think the answer is A. Hope this helps!
Step-by-step explanation:
Answer:
28 days
Step-by-step explanation:
There are 7 days in 1 week. We can find the amount in 4 weeks by multiplying the amount of 7 by 4.
7(4)=28 days
We can use a number line to solve this by making 4 groups of 7.
0 7 14 21 28
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