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Artemon [7]
2 years ago
5

what is " the perimeter of a triangle is between 10 and 15 inclusively. if two of the sides of the triangle are 3.7 and 5.2, fin

d the range of possible measurements of the third side."​
Mathematics
1 answer:
Alona [7]2 years ago
7 0

Answer:

the range is 1.6 to 6.1

Step by Step:

2 sides of a triangle have to be greater than the third

add 3.7 and 5.2 this gives you 8.9, which means 8.8 is the greatest number that side can be

1.6 is the lowest the side could be because if it was anything lower then 5.2 would be greater than the sum of 3.7 and this side were calculating

that gives you the range 1.6 to 8.8 now we play a little bit of guess a d check trying to make the range fit the last piece of information that we were given that the perimeter is between 10 and 15

the perimeter is the sum of all the sides so pick different numbers from the range we found and play guess and check to find which ones are too high or low in this case the numbers were only to high

the highest number you can have that is within the range we found but fits the perimeter is 6.1

therefore the range 1.6 to 6.1

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Accident rate data y1, ...., y12 were collected over 12 consecutive years t=1,2,...12. At over 12 consecutive years t = 1,2,...,
e-lub [12.9K]

Answer:

The correct option is;

The accident rate is a linear model function of t. After t = 7, the slope changes, with the two lines intersecting at t = 7

Step-by-step explanation:

The given parameters are;

Accident rate data = y₁, y₂, y₃, y₄, y₅, y₆, y₇, y₈, y₉, y₁₀, y₁₁, y₁₂

Time at which data was recorded = t₁, t₂, t₃, t₄, t₅, t₆, t₇, t₈, t₉, t₁₀, t₁₁, t₁₂

Accident rate equation is a linear model given as follows;

y = X·B + E

Where:

y = Accident rate

X = Slope of linear model

B = Year

E = y intercept of model

At the end of the 6th year, a change in a regulation that affects safety, hence accident rate occurred given as follows;

Before the change in safety regulations occurred for year t < 7 y₁ = X₁B + E₁

After the change in safety regulations occurred for year t < 7 y₂ = X₂B + E₂

Therefore the slope changes from X₁ to X₂ after t = 7 with the second linear model starting from the end of the first linear model making the two lines intersect at t = 7 (the beginning of year 7)

Hence the correct option is that "The accident rate is a linear model function of t. After t = 7, the slope changes, with the two lines intersecting at t = 7."

4 0
2 years ago
Which of the following are exterior angles? Check all that apply.
Marina86 [1]

Answer:

A

C

D

E

Step-by-step explanation:

Exterior angles can be described as the angles that are formed between the side of a polygon and the extended adjacent side of the polygon.

Or an exterior angle is the angle that is not inside the triangle formed.

The angles inside the triangle are interior angles.

Exterior angles are :

2

3

4

6

Interior angles are :

1

5

6 0
2 years ago
A ballplayer catches a ball 3.4s after throwing it vertically upward. with what speed did he throw it, and what height did it re
Daniel [21]

From the equation of motion, we know,

s=ut+\frac{1}{2}at^{2}

Where s= displacement

u= initial velocity

a= gravitational force

t= time

Displacement is 0 since the ball comes back to the same point from where it was thrown.  

A = -9.8m/s^{2} since the ball is thrown upwards.

Plug the known values into the equation.

=> 0=u\left ( 3.4 \right )+\frac{1}{2}\left ( -9.81 \right )(3.4^{2})

Solving for u gives :

u= 16.67 m/ sec ....... equation (1)

At maximum height, final velocity i.e v is 0

Time take to reach the top = \frac{3.4}{2} = 1.7 sec

v^{2}=u^{2}+2as

=> 0=(16.67)^{2}+2(-9.81)(s)

Solving for s we get

s= 14.16 m


4 0
2 years ago
Tom buys a torch and a battery.
nevsk [136]

Answer:

battery costs: 0.39...............

8 0
2 years ago
Find the value of x that would prove y is parallel to z. State the converse used to support your answer.
astraxan [27]

Answer:

x = 15

Step-by-step explanation:

By the Consecutive Interior Angles Converse, if (3x + 7) + (10x - 22) = 180, then y is parallel to z.

Solve for x

3x + 7 + 10x - 22 = 180

Combine like terms

3x + 10x + 7 - 22 = 180

13x - 15 = 180

Add 15 to both sides

13x - 15 + 15 = 180 + 15

13x = 195

Divide both sides by 13

\frac{13x}{13} = \frac{195}{13}

x = 15

8 0
2 years ago
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