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AleksandrR [38]
2 years ago
14

How does the figure help verify the triangle inequality theorem?

Mathematics
1 answer:
adelina 88 [10]2 years ago
6 0

The figure description helps; Choice A; by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side.

<h3>What is the triangle inequality theorem?</h3>

The triangle inequalities theorem postulates that the sum of lengths of two sides of a triangle must be greater than the length of the third side.

On this note, it follows that the since the sum of sides given in the description 7 and 4 is less than 15, the segments cannot be used to form a triangle.

Read more on triangle inequalities;

brainly.com/question/22559323

#SPJ1

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The air pressure inside Jason’s bike tires decreases by about 6% each week. The original pressure was 45 pounds per square inch
Brrunno [24]
Compound percentage reduction can be calculated by multiplying the initial number by (1-x)^t where x is the percentage reduction (/100, i.e. 1% reduction is 0.01), and t is the number of times it has reduced.

So:
a) p=45(1-0.06)^t=45*0.94^t
Where t is the number of weeks.

We can then just substitute in to work out the final pressure:
b) p = 45*0.94^6 = 31psi
5 0
3 years ago
Can someone help me with this problem
user100 [1]

Answer:

About 110.6

Step-by-step explanation:

The sine of an angle is the length of the opposite side divided by the length of the hypotenuse.

\sin 19= \dfrac{36}{x} \\\\x=\dfrac{36}{\sin 19}\approx 110.6

Hope this helps!

5 0
3 years ago
Factor 9y2 - 12y + 4.<br><br> (3 y - 2)(3 y + 2)<br> (3 y - 4)( y + 1)<br> (3 y - 2) 2
lozanna [386]

Answer:

(y - 2)²

Step-by-step explanation:

9y² - 12y + 4 ← is a perfect square of the form

(ax - b)² = a²x² - 2abx + b²

Compare like terms with 9y² - 12y + 4, thus

a² = 9 ⇒ a = 3

b² = 4 ⇒ b = 2 and

- 2ab = - 2 × 3 × 2 = - 12

Thus

9y² - 12y + 4 = (3y - 2)²

8 0
3 years ago
Label the diagram
Tomtit [17]
A) y-axis

B) quad lll

C) x-axis

D) quad IV

Is this the answer you were looking for?
8 0
3 years ago
WILL MARK BRAINLIEST!! PLZ HELP!!! 20 POINTS Create a graph of the polynomial function g(x) = (x + 2)(x − 1)(x − 2)
Gennadij [26K]

Answer:

We have: g(x)=(x+2)(x-1)(x-2)

multiply the 3 terms:

  • (x+2)(x-1)(x-2)
  • (x²-4)(x-1)
  • x^3 -x²-4x+4

This is a polynimial function with 2 vertices

The roots are approximatively:

0.8 and -1.5

their images are:

1.9 and 8.8

plot these two vertices and draw some other points

here is a drawing:

6 0
3 years ago
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