Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...

(Based on the Pathagoras Theorem)

$c^{2} = a^{2} + b^{2}$

$9^{2} = 7^{2} + d^{2}$

$d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\$

d ≈ 5.7km

There for aproximate distance across the lake is equal to 5.7km

7 0

3 years ago

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If v = -11i + 3j, 2u − v =

kicyunya [14]

Answer: 2u+11i-3j

Step-by-step explanation: plug in -11i+3j for v

distribute negative sign

5 0

4 years ago

Jim brought a pizza and decided to share it with four of his friends his portion was twice as much as any of the others who each

natali 33 [55]

Answer:

Jim had 1/3 of of the pizza

Step-by-step explanation:

He shared a pizza with four friends, each friend had a Piece that was the same size as the other pieces, Jim had TWICE as much pizza as his friends so He had 2 pieces since he has 4 friends and each has 1 piece, so 4 + 2 = 6

2/6 simplify if, 1/3.

3 0

3 years ago

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A rectangular picture from has a length of 7 inches and a width

mezya [45]

Answer:

8.6

Step-by-step explanation:

This uses the Pythagorean Theorem

a^2 + b^2 = c^2

a = 5

b = 7

c = ?

5^2 + 7^2 = c^2

25 + 49 = c^2

74 = c^2

sqrt(c^2) = sqrt(74)

c = 8.60 which when rounded = 8.6

6 0

2 years ago