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2 years ago

Some help figuring out the answer?? Also explain a little how you got there

Mathematics

1 answer:

ipn [44]2 years ago

6 0

9514 1404 393

Answer:

x = 10·cos(θ) -4·cot(θ)

Step-by-step explanation:

Apparently, we are to assume that the horizontal lines are parallel to each other.

The relevant trig relations are ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

If the junction point in the middle of AB is labeled X, then we have ...

sin(θ) = 4/BX ⇒ BX = 4/sin(θ)

cos(θ) = x/XA ⇒ XA = x/cos(θ)

Then ...

BX +XA = AB = 10

Substituting for BX and XA using the above relations, we get

4/sin(θ) +x/cos(θ) = 10

Solving for x gives ...

x = (10 -4/sin(θ))·cos(θ)

x = 10·cos(θ) -4·cot(θ) . . . . . simplify

_____

We used the identity ...

cot(θ) = cos(θ)/sin(θ)

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2a+3b=5 b=a-5 help please

diamong [38]

Answer:

2a + 3b = 5

b = a - 5

Step-by-step explanation:

2a + 3b = 5

b = a - 5

You can write this another way:

2a + 3(a-5) = 5 ( I added the second formula in the first one )

Now you gotta factor out:

2a + 3a - 15 = 5

Here im gonna do plus 15

2a + 3a = 20 ==> 5a = 20

Now if you divide by 5, you get: a = 4

Now you can fill in the second formula again

b = a - 5 (ill fill this in now)

b = 4 - 5 = -1

So, this makes:

a = 4 , b = -1

6 0

2 years ago

Read 2 more answers

A = x. b What is b in the terms of a and x

liq [111]

Step-by-step explanation:

i think its

b=x

a

hope it help u...

8 0

2 years ago

5 more than the quotient of a number and 8 is 42

Zepler [3.9K]

Answer:

The number is 296.

Step-by-step explanation:

Let's call "x" to the number we are looking for.

Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:

$\frac{x}{8}+5=42$ . Let's solve the equation to find x.