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3 years ago

Which set of integers is a Pythagorean triple?

Mathematics

1 answer:

Vsevolod [243]3 years ago

4 0

Answer:

5,12,13

Step-by-step explanation:

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Work out the value 3x10^-5 x 40,000,000 give you answer in standard form

Olenka [21]

<u>★ Solution:</u>

➣ ${\sf{3\:x\:10^{-5}\:x\:4\:x\:10^7$

➣ ${\sf{(3\:x\:4)\:x\:(10^{-5+(-7)})$

➣ ${\sf{12\:x\:10^2$

➣ ${\sf{1.2\:x\:10^3$

3 0

2 years ago

What is the slope of a line parallel to line B?

Aleksandr [31]

When the lines are parallel, the slope have to be the same for both and we know that the slope of line B is 5/2, so the answer would be D) 5/2

6 0

3 years ago

Read 2 more answers

Question 4 (1 point)

Nostrana [21]

Answer:

The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Step-by-step explanation:

Height of a mountain, h = 90 feet

Upward velocity of a ball, u = 64 ft/s

Its height as a function of time can be written by using the second equation of motion as follows :

$f(x) = -16t^2 + 64t + 960$ .....(1)

When it will hit the ground, f(x) = 0

$-16t^2 + 64t + 960=0\\\\16(-t^2+4t+60)=0\\\\-t^2+4t+60=0$

It is quadratic equation.

t = -6 s and t = 10 s

Neglecting -6 seconds, the ball will hit the ground at 10 seconds.

For maximum height,

Put f'(x) = 0

$-32t+64=0\\\\\\t=\dfrac{64}{32}\\\\t=2\ s$

Put t = 2 in equation (1)

$f(2) = -16(2)^2 + 64(2) + 960\\\\=1024\ \text{feet}$

Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

5 0

2 years ago

If a 12 cm altitude to the hypotenuse of a right triangle divides the hypotenuse into segments with ratio 3:2, what is the lengt

tiny-mole [99]

Answer:

The length of hypotenuse is $10\sqrt{6}$ cm

Step-by-step explanation:

Let's length of hypotenuse is x

Since, a 12 cm altitude to the hypotenuse of a right triangle divides the hypotenuse into segments with ratio 3:2

so,

First part of hypotenuse length is

$=\frac{3}{5}x$

Second part of hypotenuse length is

$=\frac{2}{5}x$

now, we can draw triangle

We can see that

triangles ABD and ABC are similar

so, the ratio of their sides must be equal

$\frac{\frac{3x}{5} }{12}=\frac{12}{\frac{2x}{5}}$

now, we can solve for x

$\frac{3x}{5}\times\frac{2x}{5}=144$

$6x^2=3600$

$x=10\sqrt{6}$

So,

The length of hypotenuse is $10\sqrt{6}$ cm

3 0

3 years ago

MZQRS = [?]<br> HELP PLEASE !!

motikmotik

Answer:

m∠QRS = 49°

Step-by-step explanation:

Complementary angles are angles that add up to 90°. So m∠ABC + m∠QRS = 90°. When you simplify you get 41° + m∠QRS = 90°. So m∠QRS = 49°.

6 0

3 years ago