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Tju [1.3M]
3 years ago
7

Determine the number of solutions to the following system of equations.

Mathematics
2 answers:
Harrizon [31]3 years ago
4 0

Answer

one solution

Step-by-step explanation:

because i said it was or do you really need the step by step?

goldfiish [28.3K]3 years ago
3 0

Answer:

A. one solution y=-3 and x=0

Step-by-step explanation:

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In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest<br> inch.
dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

m\angle G+m\angle H+m\angle I=180^\circ

30^\circ+29^\circ+m\angle I=180^\circ

59^\circ+m\angle I=180^\circ

m\angle I=180^\circ-59^\circ

m\angle I=121^\circ

According to Law of sines,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Using Law of sines, we get

\dfrac{h}{\sin H}=\dfrac{i}{\sin I}

\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}

\dfrac{300}{0.4848}=\dfrac{i}{0.8572}

Multiply both sides by 0.8572.

\dfrac{300}{0.4848}\times 0.8572=i

530.44554=i

i\approx 530

Therefore, the length of i is about 530 inches.

6 0
2 years ago
Hurry please im running out of time<br>ill give brainliest
Ipatiy [6.2K]

Answer:

Step-by-step explanation:

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2 years ago
Suppose 15 quarts of a solution that is 35% antifreeze is mixed with 5 quarts of a solution that is 72% antifreeze. 1.how many q
Finger [1]

Answer:

1. 8.85 quarts

2. 44.25%

Step-by-step explanation:

In 15 quarts of a solution with percentage of antifreeze = 35%

Amount of antifreeze = 35% × 15

                                    = 0.35 × 15

                                    = 5.25 quarts

that solution is mixed with 5 quarts of a solution with percentage of antifreeze = 72%

Amount of antifreeze = 72% × 5

                                    = 0.72 × 5

                                    = 3.6 quarts

Total amount of mixture = 15 quarts + 5 quarts = 20 quarts

1. Now we will calculate the total amount of antifreeze in the resulting mixture.

= 5.25 + 3.6 = 8.85 quarts

2. The percentage of the resulting mixture is antifreeze

= \frac{8.85}{20}\times 100

= 44.25%

1. total amount of antifreeze is 8.85 quarts

2. the percentage of antifreeze is 44.25%

3 0
3 years ago
Two lines, A and B, are represented by the equations given below:
SashulF [63]
Given:
Line A: 2x +  2y = 8
Line B:    x + y = 4

x = 4 - y
2(4-y) + 2y = 8
8 - 2y + 2y = 0
0 = -8

y = 4 - x
2x + 2(4-x) = 8
2x + 8 - 2x = 8
0 = 0

There is no solution.
4 0
2 years ago
Christina owns a café. The graph shows the number of cups of tea that were sold at her café each hour past noon. Based on the mo
Viktor [21]

Answer:

Where's the graph? I need the graph to answer

3 0
3 years ago
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