All categories

3 years ago

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

Mathematics

1 answer:

Serga [27]3 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.

You might be interested in

True or false (picture provided)

Kitty [74]

Answer:

True

Step-by-step explanation:

we know that

A non-negative number is a real number greater than or equal to zero

In this problem

we have

$x\geq 0$

The solution of the inequality is all real numbers greater than or equal to zero [0,∞)

Therefore

$x\geq 0$ express a non-negative number in symbols

3 0

3 years ago

The measure of b is ____.

Vedmedyk [2.9K]

Answer:

$\Huge\boxed{b=21}$

Step-by-step explanation:

Pythagorean Theorem:

$a^2+b^2=c^2$

where a and b = legs and c = hypotenuse

we are given a leg and the hypotenuse so we plug in what we have into the formula

$20^2+b^2=29^2$

now we solve for b

step 1 subtract 20^2 from each side

$b^2=29^2-20^2\\29^2=841\\2-^2=400\\841-400=441\\441=b^2$

finally we want to get rid of the exponent on the b

to do so we take the square root of each side

$\sqrt{441} =\sqrt{b^2} \\\sqrt{441} =21\\\sqrt{b^2} =b$

we're left with b = 21

Note: They Pythagorean theorem only works with right triangles

6 0

3 years ago

What is the next value? 1 I 2 L 3 F 4

Natalka [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

Subtract the product of 5 and 8 from 50 written as a numerical expression

sladkih [1.3K]

"-" subtract

"×" product

50 - 5 × 8 or 50 - (5 × 8)

= 50 - 40 = 10

6 0

3 years ago

Consider this scatter plot.

Radda [10]

Answer:

Positive correlation

5 hours yield a score of 76

41 is the test score for no hours of study

Step-by-step explanation:

There is a positive correlation because the more hours spent on homework the better the test score generally it.

Use the function y=7x+41 by substituting x=5 and simplifying to predict the test score.

y=7(5)+41

y=35+41

y=76

The number 41 is the y-intercept and starting value. This means with 0 hours of study you are likely to score a 41 on the test.

4 0

4 years ago