All categories

3 years ago

Guest house is 15m long and 12m wide. what is the diagonal of the house?

Mathematics

2 answers:

Otrada [13]3 years ago

6 0

Answer:

The diagonal of the house is approximately 19.21m

Step-by-step explanation:

Taking the shape of the house as a rectangular building, if length l is 15m and width w is 12m, then to find the diagonal, we can relate the shape now formed to a right angle triangle as the diagonal line divides the rectangular house into 2 right angled triangle.

We can now say the diagonal line is d.

To solve the question, we can consider pythagoras theorem which is

$a^{2}$ + $b^{2}$ = $c^{2}$

The length l and width w can be taking as opposite and adjacent a and b respectively, while diagonal d can be taking as hypothenus c

$l^{2}$ + $w^{2}$ = $d^{2}$

Substitute for length 15m and width 12m, we will have

$15^{2}$ + $12^{2}$ = $d^{2}$

225 + 144 = $d^{2}$

369 = $d^{2}$

d = $\sqrt{369}$

d = 19.2094

d ≈ 19.21m

Ann [662]3 years ago

4 0

I think I got the answer. Use at your own risk. But I think the answer is 19.21

You might be interested in

Find the tenth term of the geometric sequence, given the first term and common ratio.

Natalija [7]

Answer:

$a_{10}=\dfrac{1}{128}$

Step-by-step explanation:

In the geometric series:

$a_1=4\\ \\r=\dfrac{1}{2}$

The nth term of the geometric sequence can be calculated using formula

$a_n=a_1\cdot r^{n-1}$

In your case, n = 10, then

$a_{10}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^{10-1}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^9\\ \\=2^2\cdot \dfrac{1}{2^9}\\ \\=\dfrac{1}{2^{9-2}}\\ \\=\dfrac{1}{2^7}\\ \\=\dfrac{1}{128}$

8 0

2 years ago

Which equation represents a line perpendicular to the line shown on the graph?

Vadim26 [7]

Answer:

See description below.

Step-by-step explanation:

To choose the correct equation, find the slope of the line on the graph. Identify two points on the line. Then subtract to find their rate of change using the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

When you know the slope, find the negative reciprocal. For example, if the slope is 2/1 then the negative reciprocal is -1/2. This is the slope of a perpendicular line to a line with slope 2. Choose the equation which has this same slope.

Example:

y = 2x -1

y= -1/2 +5

4 0

3 years ago

Reflect the figure over the line <br> x<br> =<br> 2<br> x=2.

inessss [21]

2 = 2????

Thats what Im getting it from.

Since x is 2 then it would still be 2=2 in simple term.

7 0

2 years ago

Help me plz uevdhdb FM xb

Sati [7]

Answer:

a 1/ (6^2)

Step-by-step explanation:

6^3 / 6^6

when dividing exponents we can subtract

6^ (3-6)

6^(-3)

negative exponents go from the numerator to the denominator

1/ (6^3) = 1/216 = 6^-3

1/6^2 is not equal

3 0

3 years ago

Read 2 more answers

A cell phone company is looking to place a new tower to service 3 cities. In order for it to best service each city, it needs to

AlladinOne [14]

A circle is a collection of points all of which are on the circumference of the circle. If you use algebra and (x-h)^2 + (y-k)^2 = r^2 and the info contained in the coordinates (x,y) of each city, you can find h, k and r. Then r is the (equal) distance between each city and the center of the circle, where the new tower will be built.

3 0

3 years ago