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OverLord2011 [107]
2 years ago
10

Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you k

now.
Mathematics
2 answers:
marusya05 [52]2 years ago
5 0

Answer:

Sample Response: No, the triangle is not possible. The triangle inequality rule states the sum of any two sides must be greater than the third side. 6 + 4 is 10, which is less than 11.

Step-by-step explanation:

it was cracked on edge

Margarita [4]2 years ago
3 0

Answer:

No

Step-by-step explanation:

Because, the Pythagorean Inequality Theorem states that the two smallest angles should add up to be more than the third angle.

4+6=10  

11 is bigger than 10, still.

Therefore, no the triangle is not possible.

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Many residents of suburban neighborhoods own more than one car but consider one of their cars to be the main family vehicle. The
horrorfan [7]

Answer:

95.4% of family vehicles is between 1 and 3 years old.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 2

Standard Deviation, σ = 6 months = 0.5 year

We are given that the distribution of age of cars is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(family vehicles is between 1 and 3 years old)

P(1 \leq x \leq 3)\\\\ = P(\displaystyle\frac{1 - 2}{0.5} \leq z \leq \displaystyle\frac{3-2}{0.5}) = P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.977 -0.023 = 0.954= 95.4\%

P(1 \leq x \leq 3) = 95.4%

95.4% of family vehicles is between 1 and 3 years old.

3 0
2 years ago
Expand the following expression by using the distributive method. 6(3b - 4c)
Kruka [31]
18b - 24c because you multiply the outside with everything inside

8 0
2 years ago
Solve the system of equations below -3xy+6y=9
Tcecarenko [31]

Answer:

x=\frac{2y-3}{y}

Step-by-step explanation:

4 0
2 years ago
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Triangle SQT is isosceles. The measure of angle STQ is 48°. Triangle S Q T is cut by perpendicular bisector T R. The lengths of
igomit [66]

Answer:

m\angle STR=24^o

Step-by-step explanation:

we know that

m\angle STQ=m\angle STR+m\angle RTQ ---> by addition angle postulate

we have

m\angle STQ=48^o ----> given problem

m\angle STR=m\angle RTQ ----> given problem

substitute in the expression above

48^o=2m\angle STR

Divide by 2 both sides

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3 0
2 years ago
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You begin your first day as a police officer earning $30,000/yr. Assuming that you obtain a full 5% increase each year, what wil
spayn [35]

Answer:

The equation for the amount of salary after x number of years is given by:

y = a(1+r)^x

where

a is the initial amount

x represents the number of years and

r represents the growth rate( in decimal)

As per the statement:

You begin your first day as a police officer earning $30,000/yr

⇒ a= 30,000

It is also given that you obtain a full 5% increase each year,

⇒r = 5\% = 0.05

then;

y = 30,000(1+0.05)^x    

y = 30,000(1.05)^x       ....[1]

we have to find the salary in three years.

⇒x = 3

Substitute this value in [1] we have

y = 30,000(1.05)^3

Simplify:

y = \$ 34,4728.75

therefore, your salary be in three years will be $34,4728.75

3 0
2 years ago
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