Side of the room = x.
From the right triangle, where sides of the square are legs of the right triangle, and the diagonal of the square is a hypotenuse of the right triangle.
x²+x²=6²
2x²=36
x²=18
x=√18 =√(2*9)=3√2≈4.2m

4 0

3 years ago

Of the 25 fish that Karl caught

otez555 [7]

Answer:

1,820 trout

Step-by-step explanation:

Set up a proportion where x is the number of trout in the lake:

$\frac{7}{25}$ = $\frac{x}{6,500}$

Cross multiply and solve for x:

25x = 45,500

x = 1820

So, you could expect 1,820 trout to be in the lake.

7 0

2 years ago

Steven paid 15% down on a car. His down payment was $2,100. How much does he still owe on the car?

My name is Ann [436]

Answer:

315

Step-by-step explanation:

because 15% of 2,100 is 315

3 0

3 years ago

One type of insect is 0.0052 meters long. What is the lenght in scientific notation

Ket [755]

Answer:

5.2 × $10^{-3}$

Step-by-step explanation:

a number in scientific notation is expressed as

a × $10^{n}$

where 1 ≤ a < 10 and n is an integer

write 0.0052 as a number between 1 and 10, that is 5.2

we have to the move the decimal point 3 places to the left to retain it's value

3 places left means n is - 3

0.0052 = 5.2 × $10^{-3}$

8 0

3 years ago