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elena-14-01-66 [18.8K]
2 years ago
11

A triangle has a side length of 3/4 inch and a side length of 3 inches. What could be the length, in inches, of the third side?

Mathematics
1 answer:
Inga [223]2 years ago
6 0
To solve this problem you must apply the proccedure shown below:

 1- If the triangle is a rigth triangle, you must apply the Pythagorean Theorem. Taking the length 3 inches as the hypotenuse, which is the longest side of the triangle, you have:

 a^2=b^2+c^2
 c=√(a^2-b^2)

 b=3/4 inches
 a=3 inches

 2- When you susbtitute the values, you obtain:

 c=√(3 inches)^2-(3/4 inches)^2
 c=2.90 inches

 The answer is: 2.90 inches.
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Anvisha [2.4K]

Answer:

R = \left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right]

Step-by-step explanation:

P - Q + R = I ( I is the identity matrix )

\left[\begin{array}{ccc}2&4\\3&5\\\end{array}\right] - \left[\begin{array}{ccc}-2&2\\4&1\\\end{array}\right] + R = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right] ( subtract corresponding elements )

\left[\begin{array}{ccc}2-(-2)&4-2\\3-4&5-1\\\end{array}\right] + R = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]

\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right] + R = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]

R = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right] - \left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right] = \left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right]

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2 years ago
I'm not sure how to do these, slader is no assistance to me.
ki77a [65]

Answer:

Perimeter: 18 ft

Height: 7 ft

Base Area: 12

Surface Area: (7)*(8) + 2(47) = 150

Step-by-step explanation:

To find the perimeter add all the edges together.

5 + 5 + 8 = 18

To find the height look at the diagram. 7ft shows the height of the rectangle and thus is the height for the rest of the shape.

Base Area:

Multiply the length (8ft) of the base by the height of the base (3ft)

8 * 3 = 24

Then divide by 2 to get the total area of the triangle

24 / 2 = 12.

Surface Area:

To find the surface area you to need to find the specifics of each side.

The base area we already solved for which is 12. We'll get back to this in a minute. The other double sides are of 5 * 7. That equals 35. Add together 12 + 35 to get 47. That is what will go in the 2(___) box because both of those sides have 2. It is the same number when done this way versus just adding them up.

47 * 2 = 94

12 + 12 + 35 + 35 = 94

Then for the (___)(___) that would be 7ft * 8ft because it is the only side left and does not have a double so it must be separate.

7 * 8 = 56

56+94 = 150

5 0
2 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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Answer:

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2 years ago
If you were constructing a 99% confidence interval of the population mean based on a sample of n 1) = 25 where the standard devi
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Answer:

We want a confidence of 99% so then the significance level would be 1%

The degrees of freedom are given by:

df = n-1= 25-1=24

And the critical value using the significance level \alpha=0.01 and \alpha/2 =0.005 and the critical value would be:

t_{\alpha/2}= \pm 2.797

Step-by-step explanation:

We know the following info :

s= 0.05 represent the standard deviation from the sample

n = 25 represent the sample size selected

We want a confidence of 99% so then the significance level would be 1%

The degrees of freedom are given by:

df = n-1= 25-1=24

And the critical value using the significance level \alpha=0.01 and \alpha/2 =0.005 and the critical value would be:

t_{\alpha/2}= \pm 2.797

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