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inysia [295]
3 years ago
8

Artemis has six boards cut in various lengths as shown she wants to use three of them to frame a triangular window in her new cl

ubhouse how many unique triangles can Artemis make with the lengths she has
Mathematics
1 answer:
SOVA2 [1]3 years ago
3 0

Question:

The sizes of the length of the boards are as follows;

Number of boards with length, 2 ft   = 2

Number of boards with length, 6 ft   = 2

Number of boards with length, 9 ft   = 2.

Answer:

The answer to the question is;

The number of unique triangles Artemis can make with the lengths she has is four.

Step-by-step explanation:

The sizes of the six boards are as follows

2 by 9 ft length boards

2 by 6 ft length boards

2 by 2 ft length boards

Therefore since the sum of the lengths of the other two sides of a triangle must be greater than the third side, we have the following possible unique triangles

9 ft by 9 ft by 6 ft ........(1)

9 ft by 9 ft by 2 ft ........(2)

6 ft by 6 ft by 9 ft ........(3)

6 ft by 6 ft by 2 ft ........(4)

Therefore we have four unique triangles.

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Which represents a quadratic function ?
mars1129 [50]

Answer:

\boxed{\boxed{B.\ f(x)=\dfrac{3}{4}x^2+2x-5}}

Step-by-step explanation:

Quadratic function-

It is a function that can be represented by an equation of the form f = ax^2 + bx + c, where a\neq 0

In a quadratic function, the greatest power of the variable is 2.

As in the first option the highest power is 3, so it is not a quadratic function.

Even though the power of x is 2 in the third option, but as it is in the denominator, so the overall power of x becomes -2. Hence it is not a quadratic function.

As the coefficient of x^2 is 0 in case of fourth option, so it is not a quadratic function.

Equation in option 2 satisfies all the conditions of quadratic function, hence it is the quadratic function.

8 0
3 years ago
Read 2 more answers
Please answer this question now
alisha [4.7K]

Answer:

If it's not too late by now, the answer is 19.9 mm^{2}

3 0
3 years ago
The graph shows the distribution of the number of text messages young adults send per day. The distribution is approximately Nor
erik [133]

The percentage of young adults send between 128 and 158 text messages per day is; 34%

<h3>How to find the percentage from z-score?</h3>

The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 30 messages.

We are given;

Sample mean; x' = 158

Population mean; μ = 128

standard deviation; σ = 30

We want to find the area under the curve from x = 248 to x = 158.

where x is the number of text messages sent per day.

To find P(158 < x < 248), we will convert the score x = 158 to its corresponding z score as;

z = (x - μ)/σ

z = (158 - 128)/30

z = 30/30

z = 1

This tells us that the score x = 158 is exactly one standard deviation above the mean μ = 128.

From online p-value from z-score calculator, we have;

P-value = 0.34134 = 34%

Approximately 34% of the the population sends between 128 and 158 text messages per day.

Read more about p-value from z-score at; brainly.com/question/25638875

#SPJ1

4 0
1 year ago
I’m having trouble here can somebody help ASAP.
uranmaximum [27]

6x + 4 - x = 2(x+1)


First combine like terms on the left side:

6x-x - 5x

So you have 5x+4 on the left side.


Then use the distributive property on the right side:

2(x+1) becomes 2x +2


Now you have 5x +4 = 2x +2

Subtract 4 from each side:

5x = 2x -2

Subtract 2x from each side:

3x = -2


Divide both sides by 3:

x = -2/3



7 0
3 years ago
Identify the range of the function. A) (2, 8) B) [2, 8] C) (−5, 9) D) [−5, 9]
Ivanshal [37]

Answer:

The answer is "Option A"

Step-by-step explanation:

The domain is the collection of the value, which belongs to the separate variable (horizontal axis). So, to find a region with a graph, it must search for the function, which starts and end. And at all these levels we are searching at x-values.  

Its starting point is (2,9) and the ending point is (8,3).  Therefore, x= 2 to x=8 is the domain.

5 0
3 years ago
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