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Svetlanka [38]
2 years ago
5

Use the Pythagorean Theorem to find the measure of the space diagonal line in the box

Mathematics
1 answer:
madreJ [45]2 years ago
3 0

Answer:

14.42inches

Step-by-step explanation:

Given the following

b = 5 in

c = 8in

we are to find the measure of the space diagonal line

Using the pythagoras theoreml

l^2 = b^2 + c^2

l^2 = 13^2 - 5^2

l^2 = 169 -25

l^2 = 144

l = 12in

To get the measure of the space diagonal line in the box, we will use the pythagoras theorem;

s^2 = l^2 + c^2

s^2 = 144 + 8^2

s^2 = 144 + 64

s^2 = 208

s= 14.42inches

Hence the required length ix 14.42inches

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Explain why 1 hundred 4 tens and 14 tens name the same number
KonstantinChe [14]
Because they are both 140
8 0
3 years ago
Read 2 more answers
Solve for x. Round to the nearest hundredth.
zlopas [31]

<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°

The length of the one leg of the triangle is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

sin \ \theta=\frac{opp}{hyp}

Substituting the values, we get;

sin \ 42^{\circ}=\frac{x}{8}

Multiplying both sides of the equation by 8, we get;

sin \ 42^{\circ}\times8=x

Simplifying, we get;

0.669 \times 8=x

      5.352\approx x

Therefore, the value of x is 5.35(app.)

Hence, Option A is the correct answer.

8 0
3 years ago
A standard six-sided die is rolled onto a table. The product of the visible numbers is 144. What is the number on the bottom sid
denis-greek [22]
<h3>Answer:  5</h3>

Explanation:

This is something you could do by trial and error.

The visible numbers are 1,2,3,4,6 which multiply to 144.

Another approach is to notice that 5 is not a factor of 144, so it must be the hidden value not part of the items multiplied.

Every other number 1,2,3,4,6 is a factor of 144.

1*144 = 144

2*72 = 144

3*48 = 144

4*36 = 144

6*24 = 144

8 0
2 years ago
2x - 8<br> X-3<br> 4. What is the value of x?<br> (a) 3<br> (c) 9<br> (b) 15<br> (d) 30<br> 5<br> 3
azamat
I believe it’s 9 but unsure sorry
5 0
3 years ago
Hey anybody plz help me <br><br><br><br><br><br><br> thanks
natita [175]

Answer:

D or 11/12

Step-by-step explanation:

5/8 + 3/4 / -2/3 - 5/6

= 11/8 / -9/6

= 66/72

= 22/24

= 11/12

6 0
3 years ago
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