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Likurg_2 [28]
3 years ago
10

Cory makes a map of his favorite park, using a coordinate system with units of yards. The old oak tree is at position (3, 7) and

the granite boulder is at position (-2, 6). How far apart are the old oak tree and the granite boulder? Round to the nearest tenth if necessary
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

Answer:

7.1 yd

Step-by-step explanation:

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Fernando followed two diagonal paths, Paths 1 and 2, to get from his house, F, to a neighborhood corner store, C, as shown below
aleksandrvk [35]

Answer:

42 meters

Step-by-step explanation:

Given

See attachment for complete question

Required

Calculate distance FC

FC is calculated as:

FC = Path\ 1 + Path\ 2

Where

Path\ 1 = FB

Path\ 2 = BC

Considering \triangle FEB, we have:

FB^2 = FE^2 + BE^2 --- Pythagoras theorem

Where

FE = FD - BA

FE = 22m - 15m

FE = 7m

and

BE = CD - CA

BE = 32m - 8m

BE = 24m

So:

FB^2 = FE^2 + BE^2

FB^2 = 7^2 +24^2

FB^2 = 49 +576

FB^2 = 625

Take square roots of both sides

FB = 25

So:

Path\ 1 = 25

Considering \triangle BAC, we have:

BC^2 = BA^2 + AC^2 --- Pythagoras theorem

Where:

BA = 15 and AC = 8

So, we have:

BC^2 = 15^2 + 8^2

BC^2 = 225 + 64

BC^2 = 289

Take square roots of both sides

BC = 17

So;

Path\ 2= 17

Recall that:

FC = Path\ 1 + Path\ 2

FC = 25 + 17

FC = 42

6 0
3 years ago
Write a rational equation that can be solved by multiplying each side by 5(a+2)
qwelly [4]
What the answer would be is 10 :) hope that u are helped
4 0
3 years ago
Assume that an airline’s flights for miami leave every 33 minutes and flights from dallas leave every 45 minutes. If the flights
Kobotan [32]

Answer:

495

Step-by-step explanation:

To find this you have to find the LCM of the two times which in this case is 33 and 45. The LCM of those two is 495.

6 0
3 years ago
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Andre picks blocks out of a bag 60 times and notes that 43 of them were green. What should Andre estimate for the probability of
kiruha [24]

43/60 would be the probability

6 0
3 years ago
Hcf and lcm of 54,18,90
Inessa05 [86]
HCF is 6

That should be your answer

Prayers xx
8 0
3 years ago
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