Evaluate 12C4 and 11P4

Mathematics

1 answer:

il63 [147K]2 years ago

7 0

12P4: 11•5•9=495
11P4: 11 •10•9•8=7920

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(Problem on image.)...

ANEK [815]

Hey there! :)

In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!

That equation is : a² + b² = c²

a = adjacent side

b = long side of rectangle

c = hypotenuse

We're already given the values of both a & c, so let's plug everything in!

a² + b² = c² → a = 10 , b = ? , c = 20

(10²) + b² = (20²)

Simplify.

100 + b² = 400

Subtract 100 from both sides.

b² = 400 - 100

Simplify.

b² = 300

Get the square root of b² & 300.

$\sqrt{b^2} = \sqrt{300}$

Simplify!

b = 17.3

So, the missing side length is the first answer choice : 17.3

~Hope I helped!~

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3 years ago

How to convert from rectangular to polar coordinates pre calc?

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3 years ago

Prove the identity with steps.

Sav [38]

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$\cos(2x)=\cos^{2}x-\sin^{2}x$

So
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2 years ago

two angles are supplementary of the sum is 180. the larger angle measures four degrees more than sevem times the measure of a sm

Aleksandr [31]

Answer:

22 and 158

Step-by-step explanation:

Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.

"the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
"x represents the measure of the smaller angle" is represented as x.

x + 7x+4 =180

8x+4=180

8x=176

x= 22

This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158

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What is the y intercept of the functionsl f(x)=-2/9+1/3

Wittaler [7]

The y-intercept is 1/3 or (0, 1/3)

hope this helped !!

7 0

2 years ago