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Ksivusya [100]
3 years ago
15

A box that has a width of 5 inches and a length of 12 inches is used to ship a part. The part lies along the diagonal of the bot

tom of the box. What is the longest possible length of the part?
Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0

Answer:

13 inches

Step-by-step explanation:

Draw a square and draw a diagonal line through it. It creates a right triangle. So we can then use the Pythagoras theorem to find the length of the object at it's max. so we do a^2+b^2=c^2. So we do (12*12) + (5*5) = 169 and the square root of 169 is 13.

You might be interested in
Given an arithmetic sequence with a3=5 and a5=19, find the 24th term.
krok68 [10]

The 24th term is 152

Step-by-step explanation:

The formula of the nth term of an arithmetic sequence is:

a_n=a+(n-1)d , where

  • a is the first term
  • d is the common difference between consecutive terms

The third term means n = 3

∵ a_3=a+(3-1)d

∴ a_3=a+2d

∵ a_3 = 5

- Equate the right hand sides of the third term

∴ a + 2d = 5 ⇒ (1)

The fifth term means n = 5

∵ a_5=a+(5-1)d

∴ a_5=a+4d

∵ a_5 = 19

- Equate the right hand sides of the fifth term

∴ a + 4d = 19 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate a

∴ 2d = 14

- Divide both sides by 2

∴ d = 7

- Substitute the value of d in equation (1) to find a

∵ a + 2(7) = 5

∴ a + 14 = 5

- Subtract 14 from both sides

∴ a = -9

The twenty fourth term means n = 24

∵ a = -9 and d = 7

- Substitute the values of a and d in the formula of the nth term

∴ a_24=-9+(24-1)(7)

∴ a_24=-9+(23)(7)

∴ a_24=-9+161

∴ a_24=152

The 24th term is 152

Learn more:

You can learn more about the arithmetic sequence in brainly.com/question/7221312

#LearnwithBrainly

5 0
3 years ago
A ÷ (2 + 1.5) for a = 14<br><br> dont spam links and this is 6th grade work
IRINA_888 [86]

Answer:

49

Step-by-step explanation:

2+1.5=3.5

49/3.5=14

4 0
2 years ago
Read 2 more answers
1. What is the slope of a line containing the points (3,5),(4,7), and (5, 9)?
77julia77 [94]

Answer:

y=2x-1

Step-by-step explanation:

8 0
3 years ago
!!!! I need help with numbers 1 and 9 please !!!!!
Nataly_w [17]

(1)

given \frac{j}{6} = \frac{9}{10} ( cross- multiply )

10j = 54 ( divide both sides by 10 )

j = \frac{54}{10} = \frac{27}{5} ← in simplest form

(9)

let h be the hours worked daily , then

3h = 20 \frac{2}{3} = \frac{62}{3} ( divide both sides by 3 )

h = \frac{62}{3} ÷ 3

  = \frac{62}{3} × \frac{1}{3} = \frac{62}{9} = 6 \frac{8}{9}

She worked  6 \frac{8}{9} hours each day


5 0
3 years ago
Ogether, teammates pedro and ricky got 2675 base hits last season. pedro had 283 more hits than ricky. how many hits did each pl
kondor19780726 [428]
Let Ricky = x; so equation: x + (x+283) = 2675 ; Re-arrange so x = Ricky = 1196 hits with Pedro 1196 + 283 = 1479.
7 0
3 years ago
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