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3 years ago

Using the following triangle, what is the cosine of angle B?

Mathematics

1 answer:

stealth61 [152]3 years ago

3 0

Hello!

To find cosine, use the formula cos = adjacent / hypotenuse.

According to angle B, adjacent of angle B is side A, and the hypotenuse is side c because the hypotenuse is always opposite the right angle.

Therefore, the cosine of angle B is a/c.

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I need help with Number 5

Nostrana [21]

You’re going it plug in the inputs for every input for the letter x. So the first one, fx= -4(-2)+1= 9. The second one fx= -4(0)+1=1. The third one fx= -4(5)+1=19.

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2 years ago

Which postulate or theorem, if any, could be used to prove the triangles congruent? If not

inysia [295]

Question 11a)

We are given side BC equals to side CE and angle CBA equals to angle CED
We also know that angle ACB equals to angle ECD are equal (opposite angles properties)

We have enough information to deduce that triangle ABC and triangle CDE are equal by postulate Angle-Side-Angle (ASA)

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Question 11b)

We are given side AB equal to side ED, side BC equals to side EF, and side AC equals to side DF
We have enough information to deduce that triangle ABC and triangle DEF congruent by postulate Side-Side-Side (SSS)

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Question 11c)

We are given side AC equals to side DF, angle ABC equals to angle DEF, and angle BAC equals to angle EDF

We have enough information to deduce that triangle ABC congruent to triangle DEF by postulate Angle-Side-Angle (ASA)

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Question 11d)

We do not have enough information to tell whether this shape congruent or not

7 0

3 years ago

Read 2 more answers

2 points) Suppose w=xy+yzw=xy+yz, where x=et, y=2+sin(t)x=et, y=2+sin⁡(t), and z=2+cos(3t)z=2+cos⁡(3t). A ) Use the chain rule t

Olenka [21]

Answer:

$\frac{\partial w}{\partial t} = y(e^t) +(x+z)*(cos(t)) - 3y*sin(3t)$

Step-by-step explanation:

First, note that

$\frac{\partial x}{\partial t} = e^{t} \\\frac{\partial y}{\partial t} = cos(t)\\$

And using the chain rule in one variable

$\frac{\partial z}{\partial t} = -3sin(3t)$

Now remember that the chain rule in several variables sates that

$\frac{\partial w}{\partial t} = \frac{\partial w}{\partial x} * \frac{\partial x}{\partial t} + \frac{\partial w}{\partial y} * \frac{\partial y}{\partial t} + \frac{\partial w}{\partial z} * \frac{\partial z}{\partial t}$

Therefore the chain rule in several variables would look like this.

$\frac{\partial w}{\partial t} = y(e^t) +(x+z)*(cos(t)) - 3y*sin(3t)$

6 0

3 years ago

Read 2 more answers

Solve the following equation and determine if it has one solution, no solution, or infinitely many solutions: 3x+1−3(x−1)=4

vaieri [72.5K]

Answer:

1/3 , only one solution

Step-by-step explanation:

3x-1 = 1-3x

3x-1 = -3x+1

6x-1 = 1

6x = 2

x = 1/3

7 0

3 years ago

Read 2 more answers

(a) Find the remainder when 15! is divided by 17. (b) Find the remainder when 2(26!) is divided by 29, Thatermine whether 17 is

dlinn [17]

Answer:

Step-by-step explanation:

a) We have 15! as the product of 1 to 15 natural numbers. Since 17 is prime there will be no factor common to these

By actual division we find

15! (mod 17) =16

From this we deduce

even 16! mod 17 = 16 = -1

According to Wilson theorem

(17-1)! = -1 mod 17

Thus verified 17 is prime

Hence 15! (mod 17) =-1=16

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b) 2(26!) is divided by 29

Since 29 is prime

(29-1)! = -1 mod 29

28! = -1 mod 29 = 28

When divided this gives 25 as remainder

4 0

3 years ago