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elena-s [515]
3 years ago
7

Zina spends 1.5 hours setting up her sewing machine and making one hat. The total amount of time spent making hats can be repres

ented by the sequence below. 1.5, 2.25, 3.0, 3.75, ... Which recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously?
Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
6 0
Based on the sequence, it shows an Arithmetic Sequence. The difference from one number to the other is 0.75. In order to get the sum of the sequence at a given N items, you need to use the formula. 

The formula is S = N/2 [2a1 + (N-1)d].
S = sum
N = number of items
a1 = first item of the sequence
d = difference from one item to the next item

Elena-2011 [213]3 years ago
4 0

Answer:

f(n+1) = f(n)+0.75

Step-by-step explanation:

it’s just a matter of trying each answer to see which one works.

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In the given figure, ΔABC is a right triangle.
ch4aika [34]

The true statement about right-angle triangle ABC is that: A. sin(A) = cos(C) and cos(A) = sin(C).

<h3>How to apply basic trigonometry?</h3>

In order to determine the angles, we would apply basic trigonometry. From the diagram of the right-angled triangle shown below, we can deduce the following parameters:

  • Angle (θ) = 45°.
  • Opposite (Opp) side = a.
  • Hypotenuse (Hyp) = c.
  • Adjacent (Adj) side = b.

By applying the basic trigonometry functions, we have:

sin(A) = Opp/Hyp = a/c.

sin(C) = Opp/Hyp = c/b.

cos(A) = Adj/Hyp = c/b.

cos(C) = Adj/Hyp = a/c.

From the above, we can logically deduce that sin(A) is equal to cos(C) and cos(A) is equal to sin(C).

Read more on sine trigonometry here: brainly.com/question/20367642

#SJP1

5 0
2 years ago
The largest place value that 8.21 and 19.5 have in common is the tens place.<br> true or false
uysha [10]
<span>it false ......................</span>
4 0
3 years ago
Mikayla is a waitress who makes a guaranteed $50 per day in addition to tips of 20% of all her weekly customer receipts, t. She
notsponge [240]

Answer:

D. f(t)=300+0.20t

Step-by-step explanation:

We have been given that Mikayla is a waitress who makes a guaranteed $50 per day.

Since Miklaya works  6 days per week, so the guaranteed income for one week would be \$50\times 6=\$300  

We are also told that she gets tips of 20% of all her weekly customer receipts, t. So amount earned from tips would be 20% of t, that is \frac{20}{100}t=0.20t.

Total amount earned in one week would be guaranteed income for 1 week plus 20% of t:

300+0.20t

Therefore, our required function is f(t)=300+0.20t and option D is the correct choice.

7 0
3 years ago
Sally consumed 2.5 gallons of water in one day. How many milliliters are equal to 2.5 gallons, if 1 liter = 1,000 milliliters an
kozerog [31]
The answer is 9462.5ml.
6 0
2 years ago
Edmonds office had already recycled 1 kilogram this year before starting the new recycling plan, and the new plan will have the
exis [7]

Answer:

p = 7w

Step-by-step explanation:

It is given that :

Edmonds office's new recycling plan is to recycle 7 kg of paper each week.

Let the number of weeks be = w

Let the paper recycled = p

Therefore, an equation showing he relation of the amount of papers recycled in each week is given by :

p = 7w

7 0
3 years ago
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