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Harman [31]
3 years ago
15

A 12 foot board is split into 5 equal pieces. Which expression shows the length of each piece

Mathematics
1 answer:
Molodets [167]3 years ago
4 0

Answer:

Find out the which expression shows the length of each piece .

To prove

As given

A 12 foot board is split into 5 equal pieces.

Than

Length\ of\ each\ piece = \frac{Total\ length\ of\ board}{Total\ number\ of\ pieces}

Here

Total length of board = 12 foot

Total number of pieces = 5

Length\ of\ each\ piece = \frac{12}{5}

Length\ of\ each\ piece = 2.4\ foot

Therefore the length of each pieces is 2.4 foot.

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Can the sides of a triangle have lengths 6.2, 0.5, and 7.8?<br> yes or no
Vitek1552 [10]
No, it's not possible for the sides of a triangle to have those lengths.

According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.

6.2+7.8\ \textgreater \ 0.5

This inequality satisfies the triangle inequality theorem.

7.8+0.5\ \textgreater \ 6.2

This also satisfies the theorem.

6.2+0.5 \textless \ 7.8

Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.
4 0
3 years ago
A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an
Y_Kistochka [10]

Answer: a) 15, b) 1.

Step-by-step explanation:

A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?

(a)    10% of all adult Americans support the changes

Here, np>5\ and\ n(1-p)>5

And , p=0.10

So, consider the equality, to find the value of 'n'.

np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50

So, there are 50-35=15 more adult Americans needed.

(b)   15% of all adult Americans supports the changes

Here, p=0.15

So, again we get that

np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34

So, there are 35-34=1 more adult Americans needed.

Hence, a) 15, b) 1.

5 0
3 years ago
What am I doing wrong? I've tried every conceivable answer, I thought I knew this type of math well, but this program keeps tell
Pachacha [2.7K]

Answer:

15.0 units

Step-by-step explanation:

Here, we want to get the distance between the two points as follows;

CD = √(x2-x1)^2 + (y2-y1)^2

So we have;

CD = √(7+8)^2 + (-5+4)^2

CD = √225+ 1 =

CD = √(226

CD = 15.0 units

8 0
2 years ago
How to formulate 2 linear equations from word problems?
Aleks04 [339]
If the problem youre solving as the value of the x and y you can make those linear equations, however u can make them with only the x val
7 0
2 years ago
How can all the solutions to an equation in two variables be represented?
OLga [1]

How do linear, quadratic, and exponential functions compare?

Answer:

How can all the solutions to an equation in two variables be represented?

<u><em>The solution to a system of linear equations in two variables is any ordered pair x,y which satisfies each equation independently. U can Graph, solutions are points at which the lines intersect.</em></u>

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<u><em>How can all the solutions to an equation in two variables be represented?</em></u>

<u><em>you can solve it by Iterative method and Newton Raphson's method.</em></u>

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<u><em>How are solutions to a system of nonlinear equations found? </em></u>

Solve the linear equation for one variable.

Substitute the value of the variable into the nonlinear equation.

Solve the nonlinear equation for the variable.  

Substitute the solution(s) into either equation to solve for the other variable.

<u><em> </em></u>

<u><em>How can solutions to a system of nonlinear equations be approximated? U can find the solutions to a system of nonlinear equations by finding the points of intersection. The points of intersection give us an x value and a y value. Using the example system of nonlinear equations, let's look at how u can find approximate solutions.</em></u>

6 0
2 years ago
Read 2 more answers
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