All categories

2 years ago

Solve for xa.81b.41c.1681

Mathematics

1 answer:

Jlenok [28]2 years ago

5 0

A=9 , b=40

Pythagorean theorem
$a^2+b^2=x^2 \\\\ x=\sqrt{a^2+b^2}=\sqrt{9^2+40^2}=\sqrt{81+1600}=\sqrt{1681}=\sqrt{41^2}=41$

You might be interested in

I need help....... please

krok68 [10]

Answer:

-6+3

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe

solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for $p$ such that $1000p(1-p)$ is maximized. Once we have that $p$ , we can easily find the answer to part b.

Finding the value that maximizes $1000p(1-p)$ is the same as finding the value that maximizes $p(1-p)$ , just on a smaller scale. So, we really want to maximize $p(1-p)$ . To do this, we will do a trick called completing the square.

$p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4$ .

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of $p$ such that the inner part of the square term is equal to $0$ .

$p-1/2=0\\p=1/2$ .

So, the answer to part a is $\boxed{1/2}$ .

We can then plug $1/2$ into the equation for p to find the answer to part b.

$1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250$ .

So, the answer to part b is $\boxed{250}$ .

And we're done!

3 0

1 year ago

If bob has five apples and he eats 2 how many does he have left

qwelly [4]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

select the expression that represents the following problem: a glass hold 1/4 sliter of liquid. how many glasses of liquid are i

Alex777 [14]

Answer:

20 glasses

Step-by-step explanation:

A glass holds 1/4 liter of water so if you have 4 cups you will have 1 liter of water. If you need 5 liters than you just multiply the number of cups per liter by the number of liters

4 x 5 = 20

5 0

2 years ago

At the local pet store, zebra fish cost $1.80 each and neon tetras cost $2.10 each. If Ernesto bought 16 fish for a total cost o

madreJ [45]

<span>zebra fish a then tetras fish (11 – a)
2.2a + 1.85(11 – a) = 22.80
2.2a + 20.35 – 1.85a = 22.80
0.35a = 2.45
a = 7 zebra and 11 – 7 = 4 neon fish

</span>

3 0

2 years ago