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Artist 52 [7]
3 years ago
15

What is 0 less than equal to t/3< 2 with compound inequalities

Mathematics
1 answer:
Akimi4 [234]3 years ago
6 0
The answer to 0 <span>≤ t/3 < 2 is

0 </span><span>≤ t < 6

The work:
You just have to multiply all the terms by 3 so you get rid of the 3 in the "t/3".
After multiplying you get the answer.

The graph: </span><span>

</span>

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That's of course the 30/60/90 right triangle.

If you need to see the algebra, the acute angles in a right triangle are complementary, adding to 90 degrees:

x + 2x = 90

3x = 90

x = 30


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3 years ago
△UVW ~△XYZ. Identify the perimeter and area of △UVW to the nearest tenth.
satela [25.4K]

Answer:

perimeter= 40.8

area= 333.3

Step-by-step explanation:

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Have you ever been on or seen a ride like this at a fair or amusement park? Imagine being strapped into your seat at the bottom
Marysya12 [62]

The linear relationship is y = 20x, 0 ≤ x ≤ 17.5 and the quadratic relationship is y = -16x² + 288, 0 ≤ x ≤ 3√2

<h3>The equations that represent the relationships</h3>

<u>The linear relationship</u>

When making the trip up, we have:

Rate = 20 feet per seconds

This means that the relationship is:

Distance = Rate * Time

So, we have:

y = 20x

The height of the tower is 350.

So, we have:

20x = 350

Divide by 20

x = 17.5

Hence, the linear relationship is y = 20x, 0 ≤ x ≤ 17.5

<u>The quadratic relationship</u>

The quadratic equation can be represented as:

y = -0.5ax² + vx + h

Where:

  • a = acceleration due to gravity = 32
  • v = velocity = 0
  • h = height = 288

So, we have:

y = -0.5 * 32x² + 0 * x + 288

Evaluate

y = -16x² + 288

When you get to the ground level, we have:

-16x² + 288 = 0

Subtract 288 from both sides

-16x² = -288

Divide by -16

x² = 18

Take the square root of both sides

x = ±3√2

Remove negative domain

x = 3√2

Hence, the quadratic relationship is y = -16x² + 288, 0 ≤ x ≤ 3√2

Read more about linear and quadratic equations at:

brainly.com/question/72196

#SPJ1

5 0
2 years ago
What is nine plus nine plus three?
Oduvanchick [21]

Answer:

21

Step-by-step explanation:

9+9=18

18+3=21

3 0
4 years ago
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Consider kite WXYZ.
kondaur [170]

Answer:

  • a = 8; b = 40

Step-by-step explanation:

<em>See attached</em>

<h3>Given </h3>

<u>Kite WXYZ with:</u>

  • XY = 3a - 5
  • YZ = a + 11
  • ∠W = 50°
  • ∠X = 3b
  • ∠Y = 70°
<h3>To find </h3>
  • Values of a and b
<h3>Solution</h3>

<u>Since XY and YZ are congruent sides, XY = YZ</u>

  • 3a - 5 = a + 11
  • 3a - a = 11 + 5
  • 2a = 16
  • a = 8

<u>The angles Z and X are equal and the sum of 4 angles is 360°, therefore:</u>

  • 3b + 3b + 50° + 70° = 360°
  • 6b + 120° = 360°
  • 6b = 240°
  • b = 40°

<u>Correct option is the last one </u>

  • a = 8; b = 40°

8 0
3 years ago
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