What is the length of the diagonal of a square of side 8cm, after getting your answer, put it in one decimal place. 13.1cm 12cm 11.4cm 11.3cm

11.3 cm

Step-by-step explanation:

The diagonal d divides the square into 2 right triangles with legs 8 and hypotenuse the diagonal d.

Using Pythagoras' identity in one of the right triangles, then

d² = 8² + 8² = 64 + 64 = 128 ( take square root of both sides )

d = ≈ 11.3 cm

Step-by-step explanation:

Using Pythagorean Theorem:

Where  c is the length of diagonal and a and b are the sides of the square

[Remember that all sides of the square are equal]

=>

=>

=>

Taking sqrt on both sides

=> c = 11.3 cm

c. (3,2,6) is the answer.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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