A high school track is shaped as a rectangle with a half circle on either side.

Mathematics

2 answers:

wolverine [178]3 years ago

7 0

Answer:

745.5

Step-by-step explanation:

LiRa [457]3 years ago

4 0

Answer:

745.5

Step-by-step explanation:

To answer this question we need to find the perimeter and multiply it by three. To do that we can start by adding 85 yards plus 85 yards for both sides of the rectangle which equals 170. Then we need to add the circumference of the semicircles. To do that we can use the formula C = 2(3.14)r. for that we need to find the radius which is the diameter divided by 2 which is 12.5. Then we can plug that into the formula to get C=(2)(3.14)(12.5). After solving that we get 78.5 which we can add to 170 to get the perimeter which is 248.5 . However we are NOT done since jasmine is running 3 laps we need to multiply 248.5 by 3 to get an answer of 745.5.

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A cactus casts a shadow 33 feet long. At the same time of day, Liam who is 6 feet tall, casts a shadow 9 feet long, as shown.

castortr0y [4]

Answer:

here's the solution :-

1.) =》the base of the larger triangle is the length of shadow formed by cactus .

so, length of cactus is : 33 feet.

2.) now, jn the smaller triangle formed by liam and it's shadow : -

=》

since both triangle form 90° the bases of both the larger and smaller triangles are parallel , so the base angles of larger triangle = corresponding base angles of the smaller triangle

hence, the both triangles are similar

( by A.A postulate )

now since the both triangles are similar, the the sides will be proportional ,

=》

$\frac{9}{33} = \frac{6}{x}$

=》

$x = \frac{6}{9} \times 33$

=》

$x = 2 \times 11$

=》

$x = 22$

so, length of the cactus = x = 22 feet

6 0

3 years ago

Pls guys help me with this i will give u more points!

gtnhenbr [62]

$3x - 4y = - 6 \\ - 2x + y = 1$

<em>The Ordered pair of solution will be (x,y)=(2,3)</em>

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