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vredina [299]
3 years ago
14

A park is mapped on a coordinate plane, where C1, C2, C3, and C4 represent chairs and SW1, SW2, and SW3 represent swings. How fa

r is C2 from SW1? A. 89−−√ units B. 145−−−√ units C. 97−−√ units D. 41−−√ units

Mathematics
2 answers:
serg [7]3 years ago
5 0

Answer:

Option (B)

Step-by-step explanation:

To calculate the distance between C2 and SW1 we will use the formula of distance between two points (x_1,y_1) and (x_2,y_2).

d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }

Coordinates representing positions of C2 and SW1 are (2, 2) and (-6, -7) respectively.

By substituting these coordinates in the formula,

Distance between these points = \sqrt{(-6-2)^2+(-7-2)^2}

                                                     = \sqrt{(64)+(81)}

                                                     = \sqrt{145} units

Therefore, Option (B) will be the correct option.

Ber [7]3 years ago
5 0
The answer is choice b
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MrRissso [65]
\left( \frac{27x^3}{8y^9}\right)^ \frac{5}{3}  \\\\\\ =\left( \frac{(3x)^3}{(2y^3)^3}\right)^ \frac{5}{3} \\\\\\ =  \frac{(3x)^{3 \times  \frac{5}{3} }}{(2y^3)^{3 \times  \frac{5}{3} }} \\\\\\ =\frac{(3x)^5}{(2y^3)^{5 }} \\\\\\ =\frac{243x^5}{32y^{15}}

Now, If the exponent was negative like you asked....

\left( \frac{27x^3}{8y^9}\right)^ {-\frac{5}{3}} \\\\\\ =\left( \frac{8y^9}{27x^3}\right)^ {\frac{5}{3}}\\\\\\ =\left( \frac{(2y^3)^3}{(3x)^3}\right)^ \frac{5}{3} \\\\\\ = \frac{(2y^3)^{3 \times \frac{5}{3} }}{(3x)^{3 \times \frac{5}{3} }} \\\\\\ =\frac{(2y^3)^{5 }}{(3x)^5} \\\\\\ =\frac{32y^{15}}{243x^5}

5 0
3 years ago
Find the measure of 0. Round answer to the nearest tenth. Pleas help
DENIUS [597]

Answer:

\theta=36.43^{\circ}

Step-by-step explanation:

Given that,

Base = 42

Perpendicular height = 31

We need to find the value of \theta. It can be calculated using trigonometry as follows :

\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})

Put all the values,

\theta=\tan^{-1}(\dfrac{31}{42})\\\\\theta=36.43^{\circ}

So, the value of \theta=36.43^{\circ}.

6 0
2 years ago
1,-1 after a translation left 4 units and down 5 units​
Alexxx [7]

Answer:

-3,-6? im not sure what you're asking

Step-by-step explanation:

Using the coordinate plane, if you move 4 units to the left of 1 you get -3, moving it down 5 you get -6 then plug them in to the ordered pair (x,y) so (-3,-6)

3 0
3 years ago
Find a unit vector that has the same direction as the vector a and the opposite direction of the vector
nasty-shy [4]
The unit vector is given by the following formula:
 a '= (a) / (lal)
 Where,
 a: vector a
 lal: Vector module a
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 lal = 17
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 Opposite direction:
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a unit vector that has the same direction as the vector a is:
 
a '= (1/17) * (- 15i + 8j)
 
a unit vector that has the opposite direction of the vector a is:
 
a '= (1/17) * (15i - 8j)
5 0
2 years ago
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bagirrra123 [75]
A, C, and D
Hope this helps :)
Can I have brainliest
4 0
2 years ago
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