All categories

3 years ago

Use the Pythagorean theorem to find

Mathematics

2 answers:

Reptile [31]3 years ago

6 0

Answer:

13cm

Step-by-step explanation:

the formula for finding the hypotenuse is:

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

C is always the longest side of the triangle. In your question, it would be the side without any measurement.

It doesn't matter which side is A and which side is B, so, suppose that A is 12 and B is 5.

Now just solve for C

C= $\sqrt{12^{2} + 5^{2} }$

C= $\sqrt{144+25}$

C=13

Therefore, the missing side is 13 cm

Please click the "helpful" button if i helped :)

lana [24]3 years ago

5 0

Hope it helps

Have a good day Ahead ✨✨

You might be interested in

Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins.

erastovalidia [21]

Answer:

1/20

Step-by-step explanation:

Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins. What fraction of the muffins did Juan eat?

Let the total number of muffins = 1

Hence:

The fraction of muffins Juan ate =

1 - (1/2 + 1/4 + 1/5)

Lowest common denominator is 20

1 - ( 10 + 5 + 4/20)

1 - 19/20

= 1/20

The Fraction of muffins Juan ate is 1/20

4 0

3 years ago

In this activity, you will create an equation for a function represented by a verbal description.

alexira [117]

Answer:

1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

Step-by-step explanation: I just did the tutorial right now i hope this helps

6 0

3 years ago

I dont get this, can anyone help?

balandron [24]

Answer:

this is an x y coordinate plane, start with x and then move to y.

6 0

3 years ago

The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu

Kazeer [188]

Answer:

$\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})$

Step-by-step explanation:

The logistic differential equation is as follows:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

In this problem, we have that:

$K = 1200$ , which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that $\frac{dP}{dt} = 400$ when $P = 200$ . With this, we can find r, that is, the growth rate,

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

$400 = 200r(1 - \frac{200}{1200})$

$166.67r = 400$

$r = 2.4$

So the differential equation is:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

$\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})$

3 0

3 years ago

Mrs. Fowler has 28 students in her class, and 16 of them are boys.

Elan Coil [88]

We subtract 28 - 16 and get the number of girls
so lets do that
28 - 16 = 12
now we know the unsimplified ratio os 12 to 16
simplifed girls 12 ÷ 4 = 3
simplified boys 16 ÷ 4 = 4
since it says (girls to boys) we put girls first then boys
so it would become 3 : 4
Or the answer is B.) 3 : 4

5 0

3 years ago