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Pavlova-9 [17]
4 years ago
14

On a state map, a cartographer plots Texmath at coordinates (2, 2) and Lonestar Village at coordinates (9, 16). How far is it fr

om Texmath to Lonestar Village? √21 15 5√7 7√5
Mathematics
2 answers:
Vsevolod [243]4 years ago
6 0

Answer:

The answer is 7√5

marishachu [46]4 years ago
3 0
The distance between two points can be calculated through the equation,
 
                              d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the known values,
                              d = sqrt (16 - 2)² + (9 - 2)²)
Simplifying,
                              d = sqrt (245) = 7 sqrt (5)

The answer is the last choice. 
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The diagonal of a rectangle is of length a. It splits each corner forming two angles with a ratio of 1:2. The area of the rectan
HACTEHA [7]

Answer:

Step-by-step explanation:

Given

Length of diagonal is a

Diagonal divides the angle in 1:2

such that \theta +2\theta =90 (because angle between two sides is 90)

3\theta =90

\theta =30^{\circ}

width of rectangle is b=a\sin \theta =\frac{a}{2}

Length of rectangle is L=a\cos 30=\frac{\sqrt{3}}{2}a

Area of rectangle A=L\cdot b

A=\frac{\sqrt{3}}{2}a\times \frac{a}{2}

A=\frac{\sqrt{3}}{4}a^2

5 0
3 years ago
Find the additive inverse of each linear expression<br> 1. 3x - 6<br> 2. -9x + 3<br> 3. -4x -8
lubasha [3.4K]

Step-by-step explanation:

G(x) = 2/3 x - 6     switch x and y around and solve for y.

y = 2/3 x - 6

x = 2/3 y - 6

x + 6 = 2/3 y

3/2  x + 9 = y

4 0
3 years ago
The table shows the precipitation in December, in inches, for Washington state from 2005 to 2013. What was the mean amount of pr
natta225 [31]

5.33 Inches. I'd assume its C or the third one.

8 0
3 years ago
Read 2 more answers
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Shalnov [3]

Answer:

D. 150 metres

Step-by-step explanation:

speed = (60) times 5/18 = 50/3

lenght of the train = (speed x time)

lenght = 50/3 times (9)

   = 150 m.

8 0
3 years ago
Simplify the following completely, show all work.<br><br>4 + ✓-27​
V125BC [204]

Answer:

4+3i\sqrt{3}

Step-by-step explanation:

the \sqrt{-27} needs to be simplified

first, I broke it down to\sqrt{-1} and \sqrt{27}

\sqrt{-1} simplifies to i ;and  can be broken down to \sqrt{9} and \sqrt{3}

\sqrt{9} can be simplified further to 3

Now all you have to do is put it together

4(which you didnt have to do anything to)+ 3i( 3 from the sqrt of 9 and i from the sqrt of -1) sqrt 3( which cant be simplified further)

8 0
3 years ago
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