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3 years ago

Identify the number of faces, vertices, and edges in the figure.

Mathematics

2 answers:

Makovka662 [10]3 years ago

7 0

Answer:

7 faces, 6 edges, and 7 vertices

Bess [88]3 years ago

3 0

Answer: There are 7 faces, 7 vertices, & 6 edges.

Hope it helps.

You might be interested in

What is the solution to the system of eqautions? y=2/3x+3, x=-2

morpeh [17]

Answer:
(-2, 5/3)
Step-by-step explanation:
Step 1: Write out systems of equations
y = 2/3x + 3
x = -2
Step 2: Substitution
y = 2/3(-2) + 3
y = -4/3 + 3
y = 5/3
Step 3: Write solution
(-2, 5/3)

8 0

3 years ago

List the sides of triangle WXY in order from smallest to largest.

nataly862011 [7]

Answer:

Using the relation between angles and sides of any triangle the answer is:

Third option: WX, XY, YW

Step-by-step explanation:

<X=90° (right angle)

<W=51°

<Y=?

The sum of the interior angles of any triangle is 180°, then:

<W+<X+<Y=180°

Replacing the given values:

51°+90°+<Y=180°

141°+<Y=180°

Solving for <Y: Subtracting 141° both sides of the equation:

141°+<Y-141°=180°-141°

<Y=39°

The order of the angles from smallest to largest is:

<Y=39°, <W=51°, <X=90°

The opposite sides to these angles must be ordered in the same way:

Opposite side to <Y: WX

Opposite side to <W: XY

Opposite side to <X: YW

Then the order of the sides from smallest to largest is:

WX, XY, YW

6 0

4 years ago

ASK YOUR TEACHER An article reported that for a sample of 42 kitchens with gas cooking appliances monitored during a one-week pe

xxMikexx [17]

Answer:

$654.16-2.02\frac{165.23}{\sqrt{42}}=602.66$

$654.16+2.02\frac{165.23}{\sqrt{42}}=705.66$

So on this case the 95% confidence interval would be given by (602.66;705.66)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=654.16$ represent the sample mean

$\mu$ population mean (variable of interest)

s=165.23 represent the sample standard deviation

n=42 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=42-1=41$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,41)".And we see that $t_{\alpha/2}=2.02$