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mars1129 [50]
2 years ago
6

Mr. Littles is building a triangular sandbox using three boards. He already has two boards that measure 9 feet and 12 feet. Sele

ct all of the values that could represent the length of the third board of his triangular sandbox.
Mathematics
1 answer:
Bess [88]2 years ago
6 0

Answer:

  • 9 feet, 15 feet, 19 feet

Step-by-step explanation:

<u><em> Options are: </em></u>

  • <em>2 feet </em>
  • <em>3 feet </em>
  • <em>9 feet </em>
  • <em>15 feet </em>
  • <em>19 feet </em>
  • <em>21 feet </em>
  • <em>30 feet</em>

<em>-------------------------------------</em>

Use the triangle inequality theorem: sum of any two side must be greater than the third side by length

  • 2 feet     ⇒  no, as 2 + 9 < 12
  • 3 feet     ⇒  no, as 3 + 9 = 12
  • 9 feet     ⇒  yes
  • 15 feet    ⇒  yes
  • 19 feet    ⇒  yes
  • 21 feet    ⇒  no, as 9 + 12 = 21
  • 30 feet  ⇒  no, as 9 + 12 < 30

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An electrician charges $322 for 7 hours of work. How much does the electrician charge for one hour?
In-s [12.5K]

Answer:

About 46 dollars an hour

Step-by-step explanation:

322/7 = 46

3 0
3 years ago
Tell whether the sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive
navik [9.2K]

Answer:

The explicit formula

a_n = 3 +0.25 (n-1)

The recursive formula

a_1 = 3                            for n=1

a_n = a_ {(n-1)} +0.25     if n>1

Step-by-step explanation:

If a sequence is arithmetical then the difference between any of its consecutive terms will be constant

3, 3.25, 3.5, 3.75,

3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25

The difference between the consecutive terms remains constant so the sequence is arithmetic.

The explicit formula for an arithmetic sequence is:

a_n = a_1 + d (n-1)

Where d is the constant difference between the terms.

d = 0.25

a_1 is the first term of the sequence.

a_1 = 3

So

a_n = 3 +0.25 (n-1)

Finally, the recursive formula is:

a_1 = 3\\\\a_n = a_ {(n-1)} +0.25

8 0
3 years ago
3a. The graph shows a school's profit P for selling x lunches on one day. PART A: What is the school's profit for selling 120 lu
konstantin123 [22]

Answer:

where is the graph

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please show your work
belka [17]

Answer:

W = 8.2 cm

Step-by-step explanation:

The perimeter formula is P = 2W + 2L and here the perimeter is 65.6 cm.

Thus, 65.6 cm = 2W + 2L.  Substituting 3W for L, we get

          65.6 cm = 2W + 2(3W) = 8W.

Solving for W by dividing both sides by 8, we get W = 65.6 cm / 8, or

W = 8.2 cm

3 0
3 years ago
Read 2 more answers
What is 0.25 (repeating 5) as a fraction?​
Vanyuwa [196]
1/2 or 2/4 pretty sure
4 0
2 years ago
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