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3 years ago

The legs of a right triangle measure 15 feet and 20 feet. find the length of the hypotenuse.

Mathematics

1 answer:

Ksju [112]3 years ago

4 0

Answer:

Step-by-step explanation:

15²+20²=x²

225+400=x²

625=x²

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3. Write 13 tens as hundreds and tens. I hundreds 3 tens

beks73 [17]

Answer:

1 ten and 3 ones

Step-by-step explanation:

ten + three is 13. Hence, one ten and three ones.

5 0

3 years ago

4) A zombie infection in NYC Public Schools grows by 15% per hour. The initial

Shalnov [3]

Answer:

There were 20 zombies

Step-by-step explanation:

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3 years ago

Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

4 years ago

Which relation is a function? Question 3 options:

EleoNora [17]

Answer:

A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

I hope it's helpful!

8 0

3 years ago

Read 2 more answers

Find the area of a triangle with a base of 7.5 m and a height of 4*

oksian1 [2.3K]

Answer:

15 units²

Step-by-step explanation:

Hi there!

$A=\displaystyle\frac{1}{2} bh$ where b is the base and h is the height