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Amiraneli [1.4K]
3 years ago
11

Greta is throwing yard darts 10 ft from the front edge of a circular target of radius 18 in. If she releases the dart 4 ft above

the ground with an initial velocity of 15 ft/sec and at a 58 degree angle with the horizontal. will the dart hit the target?
Mathematics
1 answer:
Vilka [71]3 years ago
5 0

Answer:

hahhsvvvavvbabbshbhhdbbab ajhhwhbzvbahhbdb. hahhsbhajbwhhshbab

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Given points A (-3,-4) and B (2,0), points P (-1,-12/5) partitions line AB in the ratio
kvv77 [185]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&A&(~ -3 &,& -4~) 
&P&(~ -1 &,& -\frac{12}{5}~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AP=\sqrt{[-1-(-3)]^2+[-\frac{12}{5}-(-4)]^2}
\\\\\\
AP=\sqrt{(-1+3)^2+(-\frac{12}{5}+4)^2}\implies AP=\sqrt{2^2+\left( \frac{8}{5} \right)^2}
\\\\\\
AP=\sqrt{4+\frac{64}{25}}\implies AP=\sqrt{\cfrac{164}{25}}\implies AP=\cfrac{\sqrt{164}}{\sqrt{25}}
\\\\\\
\boxed{AP=\cfrac{2\sqrt{41}}{5}}



\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&P&(~ -1 &,& -\frac{12}{5}~) 
&B&(~ 2 &,& 0~)
\end{array}
\\\\\\
PB=\sqrt{[2-(-1)]^2+[0-\left(-\frac{12}{5}  \right)]^2}
\\\\\\
PB=\sqrt{(2+1)^2+\left( \frac{12}{5} \right)^2}\implies PB=\sqrt{9+\frac{144}{25}}\implies PB=\sqrt{\cfrac{369}{25}}
\\\\\\
PB=\cfrac{\sqrt{369}}{\sqrt{25}}\implies \boxed{PB=\cfrac{3\sqrt{41}}{5}}

so, let's check the ratio of AP:PB

\bf AP:PB\implies \cfrac{AP}{PB}\implies \cfrac{\frac{2\sqrt{41}}{5}}{\frac{3\sqrt{41}}{5}}\implies \cfrac{2\underline{\sqrt{41}}}{\underline{5}}\cdot \cfrac{\underline{5}}{3\underline{\sqrt{41}}}\implies \cfrac{2}{3}
7 0
3 years ago
Domain of the function of a graph with coordinates (-3,-2)
olga2289 [7]

Answer:

Domain is -3

Step-by-step explanation:

Given that coordinate of a graph is (-3, -2)

We have to find out the domain.

We know that if A and B are two sets, a mapping from A to B is the subset of cartesian product AxB.

Domain is the set of values of A which have images in B.

Use the above definition.

We have A = {-3,...} and B = {-2,....}

The mapping is from -3 to -2

Hence domain is -3

6 0
2 years ago
Helpcppdpdppd nessxbshzj
aleksley [76]
Pretty sure it’s “b= p/2 - a” which is the second answer
7 0
3 years ago
Read 2 more answers
I just need the final answer (average velocity for entire trip) thanks! :)
makvit [3.9K]

Answer:

o

Step-by-step explanation:

the displacement is zero

5 0
3 years ago
How to do Area of this figure?
stellarik [79]

Answer:

I don't want to do the problem for you but

Step-by-step explanation:

First you have to divide the figure into 2 parts. Then, you find the area of both the rectangles. You will also have to subtract the 8 from 12 which is 4 and after that you can subtract 5 from 18 because in a rectangle the opposite sides are the same. After you do those step you find the area of the rectangles.

Formula: Area= base * height

After you have to add both of the area up.

And that it!!

Hope this helps!! :)

3 0
3 years ago
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