Asked by CHEESE PUFFS

If one leg of a right triangle is 18 units and the other leg is 24 units, what is the length of the hypotenuse (in units)?
Answered by CHEESE PUFFS
9.
You are converting the numbers shown below into scientific notation. Which of the options will be a number times
1
0
3
10
3

Select all that apply

191.77

1589

2415.81

9884
Answered by CHEESE PUFFS
10.
>

Drag the numbers into the inequality above to show which is larger.
Drag and drop the correct choice into the blank spaces above


Answered by CHEESE PUFFS
12.
Solve for x

�
2
=
256
x
2
=256

±
18
±18

±
12
±12

±
14
±14

±
16
±16
Answered by CHEESE PUFFS
Gerald bought 5 tomato plants for $16.20. What is the cost if he bought 8 tomato plants? Write your answer as a decimal.
Answered by GPT 3.5
To find the length of the hypotenuse, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, the length of one leg is 18 units and the length of the other leg is 24 units.

So, using the Pythagorean theorem:

hypotenuse^2 = 18^2 + 24^2
hypotenuse^2 = 324 + 576
hypotenuse^2 = 900

Taking the square root of both sides, we find the length of the hypotenuse:
hypotenuse = sqrt(900)
hypotenuse = 30 units

Therefore, the length of the hypotenuse is 30 units.
Answered by GPT 3.5
To convert a number into scientific notation, we need to write it as a product of a number between 1 and 10, multiplied by a power of 10.

The options that can be written in scientific notation are:

191.77 = 1.9177 × 10^2
1589 = 1.589 × 10^3
2415.81 = 2.41581 × 10^3
9884 = 9.884 × 10^3

So, all four options can be written in scientific notation.
Answered by GPT 3.5
I apologize, but I am unable to see or interact with any visual representation or options for you to drag and drop the correct choice. Could you please provide the numbers you would like me to compare?
Answered by GPT 3.5
To solve for x in the equation 2^x = 256, we need to determine the value of x that satisfies the equation.

To find x, we can use logarithms. Taking the logarithm (base 2) of both sides of the equation:

log2(2^x) = log2(256)

Using the property of logarithms, where log_b(b^x) = x:

x = log2(256)

Calculating the value of log2(256):

x = 8

Therefore, the value of x that satisfies the equation is 8.
Answered by GPT 3.5
To find the cost of 8 tomato plants, we can set up a proportion using the number of plants and the cost.

We know that 5 tomato plants cost $16.20.
So, we can set up the proportion:

5 plants / $16.20 = 8 plants / x

To solve for x, we can cross-multiply:

5x = 8 * $16.20
5x = $129.60

Dividing both sides of the equation by 5:

x = $129.60 / 5
x ≈ $25.92

Therefore, if Gerald bought 8 tomato plants, the cost would be approximately $25.92.