Can I have help with this question? I need the answer with explanation

Mathematics

1 answer:

Serga [27]2 years ago

3 0

Answer:

44,39 in

Step-by-step explanation:

To find the space diagonal (whatever it's called in English) you begin looking at the bottom of the box. We want to know the diagonal since the diagonal is one of the sides of the other triangle.

To do this we can start by using trigonometry. (SOH-CAH-TOA)

We need to use Sin t. (Since we wanna know the hypothenuse and we have the opposite.)

So...

Sin(40) = 24 in ÷ h

Then we need to actually be able to calculate this, which we will be able to do if we multiply with h on both sides.

hSin(40) = 24 in

Like that. And now we can divide both sides with Sin(40). So we calculate 24 in devided by Sin(40).

h = 24 in ÷ Sin(40) = 37,34 in

Okay so now we now the diagonal, 37,34 in. Now we can use Pythagorean theorem. (2a+2b=2c and c = square root of (2a+2b))

37,34 in^(2) + 24 in^(2) = 1970,28

And now we take the square root of 1970,28.

Which is about 44,39 in.

If you're not familiar with these concepts I suggest you search them up.

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Suppose that the functions r and s are defined for all real numbers x as follows.

mixas84 [53]

ANSWER

Given

$r(x) = x - 1$

and

$s(x) = 3 {x}^{2}$
ANSWER TO QUESTION 1

$(r + s)(x) = r(x) + s(x)$

$(r + s)(x) = x - 1 + 3 {x}^{2}$

$(r + s)(x) = 3 {x}^{2} + x - 1$

ANSWER TO QUESTION 2

$(r \times s)(x) = r(x) \times s(x)$

$(r \times s)(x) = (x - 1) \times 3 {x}^{2}$

$(r \times s)(x) = 3 {x}^{3} - 3 {x}^{2}$

ANSWER TO QUESTION 3

$( r - s)(x) = r(x) - s(x)$

$( r - s)(x) = x - 1 - 3 {x}^{2}$

$( r - s)( - 3) = (- 3) - 1 - 3 ({ - 3}^{2} )$

$( r - s)( - 3) = - 4 - 3 \times 9$

$( r - s)( - 3) = - 4 - 27 = - 31$

4 0

3 years ago

This is for 16 points Let me know when you got it

Sladkaya [172]

Yeah B it’s B I’m pretty sure

4 0

2 years ago

Help me with this plzzzz

Firlakuza [10]

Answer:

0.25 or 1/4

Step-by-step explanation: