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Artist 52 [7]
3 years ago
5

: David measured the floor of his storage unit, which is rectangular. ​It is 12 meters wide and 15 meters from one corner to opp

osite corner. ​ ​How long is the storage unit?
Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

Answer: 9 meters

Step-by-step explanation:

A line between two opposite corners splits the floor into two right angled triangles, therefore we can use Pythagoras’ Theorem which is:

a^2 + b^2 = c^2

where c is the hypotenuse, and a and b are the other two sides.

Hypotenuse in this question is 15 metres while one side is 12 metres. The length will now be:

a^2 + b^2 = c^2

12^2 + b^2 = 15^2

b^2 = 15^2 - 12^2

b^2 = 225 - 144

b^2 = 81

b = ✓81

b = 9m

The length of the storage unit is 9m

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Answer:

Step-by-step explanation:

Given that there is a t distribution with 7 degrees of freedom.

P(-1.29 < t < 1.29)=1-0.2380

=0.7620

b) Now there is a different t distribution with 18 df.

When P(t\leq c)=0.05

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7 0
2 years ago
I need some help on this math problem, thanks so much
bekas [8.4K]

Answer:

The answer is C.

Step-by-step explanation:

Hit 'em with the Law of Sines.

sin(A)/a = sin(B)/b.

Let's say x is equal to "A", thus 5 is "a".

sin(x)/5 = sin(B)/b.

We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:

a^2 + b^2 = c^2

5^2 + 20^2 = c^2

25 + 400 = 425

sqrt(425) = about 20.6, which we can now substitute "b" with.

sin(x)/5 = sin(90)/20.6

sin(x)/5 = 1/20.6

sin(x)/5 = 0.04854...

sin(x) = 0.2427...

You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.

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Using the image shown, name the reflection of B over the horizontal mirror line shown.
zubka84 [21]
The answer to your question is the letter G.
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Match each statement with its corresponding value for the system below:
Mandarinka [93]

Answer:

1. 1 point

2. The x-coordinate of the solution = 2/17

3. The y-coordinate of the solution = -16/17

Step-by-step explanation:

Given that the equation is of the form;

y = -2³×x and y = 9·x - 2, we have;

y = -8·x and y = 9·x - 2

1. Given that the two lines are straight lines, the number of points of intersection is one.

2. The x-coordinate of the solution

To find a solution to the system of equations, we equate both expression of the functions and solve for the independent variable x as follows;

-8·x = 9·x - 2

-8·x - 9·x=  - 2

-17·x = -2

x = 2/17

The x-coordinate of the solution = 2/17

3. The y-coordinate of the solution

y = 9·x - 2 = 9×2/17 - 2 = -16/17

y = -16/17

The y-coordinate of the solution = -16/17.

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Answer

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