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ANTONII [103]
3 years ago
9

All sides of the building shown above meet at right angles. If three of the sides measure 2 meters, 7 meters, and 11 meters as s

hown, then what is the perimeter of the building in meters?

Mathematics
1 answer:
Svetach [21]3 years ago
3 0

Answer:

Perimeter= 40 units

Step-by-step explanation:

Ok

We are asked to look for the perimeter.

We have some clue given.

All at right angle and some sides are given it's full length.

We have the bae to be 11 unit

The height to be 7 unit.

What this mean is that taking either the base or the height should sum up to either 11 or 7 respectively.

Let's go for the other side of the height.

Let's take all the vertical height and sum it up to 7 because the right side is equal to 7.

So we have 7+7+11

But it's not complete yet.

We are given a dimension 2.

And the 2 is in two places so it's total 2*2= 4

The two is for a small base .

The base is actually an extra to the 11 of the other base.

So summing up

We have 2*11 + 2*7 + 2*2

Perimeter= 22+14+4

Perimeter= 40 units

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Find the measure of angle A
blagie [28]

Answer:

43°

Step-by-step explanation:

(x + 53)° + (x + 74)° + 73° = 180°

(x + 53 + x + 74)° = 180° - 73°

(2x + 127)° = 107°

2x + 127 = 107

2x = 107 - 127

2x = - 20

x = - 20/2

x = - 10

m\angle A = (x +53)\degree \\\\m\angle A = (-10 +53)\degree \\\\m\angle A = 43\degree \\\\

4 0
3 years ago
Solve for x: 1/2 (10x+6)=-2x+10
pickupchik [31]

Answer: x = 1

Step-by-step explanation:

substitute 1 for x

1/2(10(1)+6) = -2(1)+10

1/2(10+6) = -2+10

5+3 = -2+10

8=8

8 0
2 years ago
3. Which of the following are the roots of the quadratic function below?
sergejj [24]

Answer:

x = ± 12

Step-by-step explanation:

Given

f(x) = x² - 144

To find the roots set f(x) = 0, that is

x² - 144 = 0 ( add 144 to both sides )

x² = 144 ( take the square root of both sides )

x = ± \sqrt{144} = ± 12

4 0
3 years ago
Read 2 more answers
Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized
Roman55 [17]

Answer:

Option B.

Step-by-step explanation:

The given triangle is a right angle triangle.

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

In the given triangle,

\tan (45^{\circ})=\dfrac{v}{7}

1=\dfrac{v}{7}

7=v

Using Pythagoras theorem, we get

hypotenuse^2=Perpendicular^2+Base^2

u^2=v^2+7^2

u^2=7^2+7^2

u^2=2(7^2)

Taking square root on both sides, we get

u=\sqrt{2(7^2)}

u=7\sqrt{2}

Therefore, the correct option is B.

6 0
3 years ago
What is an example of when you would want consistent data and, therefore, a small standard deviation?
steposvetlana [31]

Answer:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271

And for the standard deviation we can use the following formula:

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And after replace we got:

s = 0.1496

And as we can ee we got a small value for the deviation <1 on this case.

Step-by-step explanation:

For example if we have the following data:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

We see that the data are similar for all the observations so we would expect a small standard deviation

If we calculate the sample mean we can use the following formula:

\bar X=\frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271

And for the standard deviation we can use the following formula:

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And after replace we got:

s = 0.1496

And as we can ee we got a small value for the deviation <1 on this case.

8 0
3 years ago
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