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zimovet [89]
3 years ago
11

Find the missing side length.

Mathematics
1 answer:
atroni [7]3 years ago
7 0
A² + b² = c²

(√3)² + b² = 5²

3 + b² = 25

b ² = 22

b = √22

hope this helps
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Machine A and machine B both make car parts. Machine A makes 7 parts every 10 minutes. Machine B makes 16 parts every 15 minutes
exis [7]

Answer:

1184

Step-by-step explanation:

Given :

No. of parts made by machine A in 10 minutes = 7

No. of parts made by machine A in 10*6 minutes (1 hour) = 7 * 6 = 42 parts

No. of parts made by machine A in 12 hours as

                                               required in problem = 42 * 12 =  504

______________________________________________________

No. of parts made by machine B in 15 minutes = 17

No. of parts made by machine A in 15*4 =60 minutes (1 hour) = 17 * 4= 68 parts

No. of parts made by machine B in 10 hours as

                                               required in problem = 68 * 10 =  680

______________________________________________________

There fore total no. of parts made by

machine A and machine B  on Monday = 680 + 504 = 1184 (Answer)

6 0
3 years ago
Stephanie is making 10 bracelets a day to prepare for an upcoming craft fair. Mary has offered to help Stephanie make bracelets
ankoles [38]

Answer:

11 bracelets a day

Step-by-step explanation:

7 0
3 years ago
An arithmetic sequence has a first term of 6.3 and a second term of 8.8 Which term has a value of 78.8?
slega [8]
First term [ a ] = 6.3

Common difference [ d ] = 8.8 - 6.3 = 2.5 

Using general term formula,

t_{n} = a + (n-1)d

78.8 = 6.3 + (n-1)*2.5

2.5*(n-1) = 72.5 [ Dividing both sides by 2.5 ]

n-1 = 29

n = 30

Hence, 78.8 is the 30th term in the arithmetic series.
4 0
3 years ago
Ms. Hagan invested twice as much money in an account that pays 7% interest as she did in an account that pays 6% in interest. He
Karo-lina-s [1.5K]

Answer: She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

Step-by-step explanation:

Let P be the initial amount she invested in an account that pays 6% interest.

Then, amount invested in other account = 2P

Simple interest = Principal x rate x time

After one year, for the first account,

Interest = P(0.06)(1)  = 0.06P

For second account,

Interest = (2P)(0.07)(1)=0.14P

Total interest = 0.06P+0.14P=1000

\Rightarrow\ 0.20P=1000\\\\\Rightarrow\ P=\dfrac{1000}{0.20}\\\\\Rightarrow\ P=5000

2P = 2(5000)=10000

Hence, She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

7 0
3 years ago
Jackson can lay 6000 ft² of tile in 3 h.
melamori03 [73]

Your answer is C. 2000 ft^2/h.

6 0
3 years ago
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