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Klio2033 [76]
2 years ago
15

System of inequalities ASAP I ONLY HAVE 15 MINS WILLING TO GIVE 20 POINTS

Mathematics
1 answer:
castortr0y [4]2 years ago
4 0

Answer:

y > x - 4

x > 3

Step-by-step explanation:

The system of inequalities need to represent the overlapped, black area, so you need to write an inequality for each of the two lines shown.

To find out whether you should be using a >, <, ≤, or ≥, identify on the graph first:

The vertical line is shaded to the right of the line. The line is also dashed, so it should be a >.

The sloped line is shaded above the line. The line is also dashed, so it should be a >.

Then, find the slopes of the lines.

Refer to the sloped line as Line 1 and the vertical line as Line 2.

The slope of Line 1 is 1. It's y-intercept (where the line crosses the y-axis) is -4.

So: y = x - 4

Replace the = with >.

y > x - 4

Line 2 is unidentified, so you can see that it's x = 3. Replace the = with >.

x > 3

You can always check by plugging in a point from the overlapped area, like (4, 1).

(4, 1)

y > x - 4

1 > 4 - 4

1 > 0

x > 3

4 > 3

These statements are true.

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AC = <br> Round your answer to the nearest hundredth.
dusya [7]

Answer:

AC ≈ 5.03

Step-by-step explanation:

We can solve the problem above using the trigonometric ratio, they are;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cosФ= adjacent/ hypotenuse

tan Ф = opposite / adjacent

From the diagram above, in reference to angle B;

opposite =AC     and   adjacent =BC

Since we have opposite and adjacent, the best formula to use is

tanФ = opposite / adjacent

tan B = AC  / BC

tan 40 =  AC/ 6

Multiply both-side of the equation by 6

6× tan 40   =  AC/ 6  ×  6

At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC

6×tan 40 = AC

5.034598  = AC

AC ≈ 5.03   to the nearest hundredths

4 0
3 years ago
Suppose the number of water lilies in pond doubles every day. If the pond was half covered on Monday, when was it only one-forth
Kaylis [27]

it would be covered by tuesday: because if it doubles each day and it is half full on monday it would be double that so it would be 100% 4/4 covered

6 0
3 years ago
How to find a volume of a triangular prism​
arlik [135]

Answer:

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

Step-by-step explanation:

hope it helps <33!

6 0
3 years ago
Read 2 more answers
What is the equation for x+1, x+2, x+3
arlik [135]
<span>Hello there.

What is the equation for x+1, x+2, x+3

</span><span>4x</span>+<span>3</span>
4 0
3 years ago
PLEASE HURRY OMG
Nonamiya [84]

Answer:

Step 3

Step-by-step explanation:

The 28 just disappeared -->

Step 2

3 x + 28 = 15

Step 3

3 x = 15

8 0
3 years ago
Read 2 more answers
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