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topjm [15]
3 years ago
6

Can you help me with this? (I will give one of you brainliest)

Mathematics
2 answers:
Degger [83]3 years ago
8 0

Answer:

1) \sqrt{9} and \sqrt{16} (between 3 and 4)

Explanation: \sqrt{9} and \sqrt{16} are the closest WHOLE squares root to \sqrt{12}; any other square roots wouldn't give us a whole number, or they're farther away from

2) -\sqrt{144} and -\sqrt{169} (between -(12) and -(13))

3) -\sqrt{36} and -\sqrt{49} (between -(6) and -(7))

Juli2301 [7.4K]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Consider perfect squares on either side of the radicand

(a)

9 < 12 < 16 , then

\sqrt{9} < \sqrt{12} < \sqrt{16} , so

3 < \sqrt{12} < 4

(b)

- 144 <  - \sqrt{158} < - 169

- \sqrt{144} < - \sqrt{158} < - \sqrt{169} , s0

- 12 < - \sqrt{158} < - 13

(c)

- 36 < - \sqrt{40} < - \sqrt{49} , so

- 6 < - \sqrt{40} < - 7

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Measurement of angle DEF would equal 180 because 71 plus 109 is 180

3 0
3 years ago
The number 0.3333... repeats forever, therefore, it is irrational
denis-greek [22]

Answer:

  FALSE

Step-by-step explanation:

A repeating decimal is a rational number.

  0.3333(repeating) = 1/3

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A <em>non</em>-repeating infinite decimal is an irrational number. √2 and π are examples of such numbers.

6 0
3 years ago
sal works for a computer repair shop. he has determines that customers pay on average $150 for each computer they bring in. He p
Effectus [21]

Answer:

The answer is :

sal must repair 320 computers in a year to break even.

Step-by-step explanation:

The break even point in a business is the point at which the total costs and the total revenue in a business are equal.

In order to calculate sal's break even point, we will first of all calculate the total costs incurred during the business year, then using the selling price (repairing price), we will calculate how many computers will be repaired to reach the incurred cost. This is done as follows:

Rent per month = $2,000

∴ Rent for a year (12 months) = 2,000 × 12 = $2,400

Cost incurred in fixing each computer = $75

Priced charged for fixing each computer = $150

Next, since we know that sal requires $75 in parts and labor to fix a computer, we will calculate the net price charged for each computer fixed as follows:

Net price charged = Priced charged for fixing each computer - Cost incurred in fixing each computer

Net price charged = 150 - 75 = $75

Finally to calculate the break even point, we know the net income (net price charged) for each computer and the costs of rent for each year, therefore, we will divide the cost incurred by the net price charged, as follows:

break even point = cost of rent for one year ÷ net price charged

break even point = 24,000 ÷ 75 = 320 computers.

Therefore, by the time sal repairs 320 computers during the year, he must have covered the costs incurred in operations, every additional repair, becomes a profit.

3 0
3 years ago
Gavin made a wooden planter in the shape of a cube. He measured the inside of the planter and found that each side is 38.75 cm l
notka56 [123]

Answer:

3/5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Sally invests £8000 in a savings account. The account pays 2.8% compound interest per year work out the value of her investment
Alborosie

Answer: the value of her investment after 4 years is £8934.3

Step-by-step explanation:

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount invested.

t represents the duration of the investment in years.

From the information given,

P = 8000

r = 2.8% = 2.8/100 = 0.028

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 8000(1+0.028/1)^1 × 4

A = 8000(1+0.028)^4

A = 8000(1.028)^4

A = £8934.3 to the the nearest penny

6 0
4 years ago
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