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Zigmanuir [339]
4 years ago
11

A fountain on a lake sprays water in a parabolic arch modeled by the equation y= -0.3x^2 +3x. A beam of light modeled by the equ

ation -2x+5.5y=19.5 passes through the fountain to create a rainbow effect. f the beam cuts the water spray at points A and B, such that point B is higher than point A, what distance from the ground level is point A?

Mathematics
1 answer:
Nikitich [7]4 years ago
3 0

ANSWER

4.1 units to the nearest tenth.

EXPLANATION

The graph of the two functions are shown in the attachment.

The coordinates of point A is (1.6,4.1).

The coordinates of point B is (7.1,6.1)

The x-axis represents the ground level.

The distance of point A from the ground level is how far the y-coordinate of this point is from the x-axis.

Which is |4.1-0|=4.1

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Carlos can put the blocks in this three ways:

(i) 32 large blocks and 4 small blocks.

(ii) 22 large blocks and 5 small blocks.

(iii) 12 large blocks and 6 small blocks.

The total quantity of blocks equals the number of blocks stored in the sets of blocks. Based on the information given, we derive the following algebraic expression:

10\cdot m + 100\cdot n = 720, \forall\,m,n\in \mathbb{N_{O}} (1)

Where:

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  • n - Quantity of large blocks.

Now we can clear n in terms of m:

100\cdot n = 720 -10\cdot m

n = 7.2-0.1\cdot m (2)

From (2) we get the following combination of sets:

1) m = 12, n= 6

2) m = 22, n = 5

3) m = 32, n = 4

Carlos can put the blocks in this three ways:

(i) 32 large blocks and 4 small blocks.

(ii) 22 large blocks and 5 small blocks.

(iii) 12 large blocks and 6 small blocks.

We kindly invite to see this question on linear functions: brainly.com/question/3400735

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2 years ago
Find θ if θ is between 0° and 90°. round your answer to the nearest tenth of a degree. csc θ = 1.6981
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Cosec θ = 1.6981
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Answer:

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