Mathematics, 11.06.2020 20:57 leigha03

Robin is a competitive archer. Her average arrow is within 6.5 cm of the center of the bullseye. John, Robin's trainer, keeps close records of each of Robin's shots so he can tell if she is improving. The graph below is John's record of Robin's last three arrows, where (0,0) is the center of the bullseye.

Robin is a competitive archer. Her average arrow is within 6.5 cm of the center of the bullseye. Jo

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Answer from: simplekaryme0

Arrow C.

Step-by-step explanation:

Out of three arrows, nearest arrow from the origin will be the best arrow.

Ordered pair for arrow A → (-5, 4)

Distance between A and bullseye = $\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2}$

= $\sqrt{(0+5)^2+(0-4)^2}$

= $\sqrt{41}$

= 6.40 units

Ordered pair for arrow B → (5, -5)

Distance between B and bullseye = $\sqrt{(0-5)^2+(0+5)^2}$

= $5\sqrt{2}$

= 7.1 units

Ordered pair for arrow C → (-2, -6)

Distance between C and the bullseye = $\sqrt{(0+2)^2+(0+6)^2}$

= $\sqrt{40}$

= 6.32 units

Distance between C and the bullseye is the shortest.

Therefore, arrow C will be the best arrow.

Answer from: Quest

c. x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{little}{big} =\frac{side mn}{side ab}=\frac{side on}{side cb}$ .

$\frac{0.96}{1.2}=\frac{x}{3}$

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$0.96(3)=1.2(x)\\2.88=1.2x\\\frac{2.88}{1.2}=\frac{1.2x}{1.2} \\2.4=x$

Answer from: Quest

Patrick earns the most money per hour

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