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Nataliya [291]
3 years ago
11

Lin’s grandmother ordered needles that were 0.3125 inches long to administer her medication, but the pharmacist sent her needles

that were 0.6875 inches long. How much longer were these needles than the ones she ordered? Show your reasoning.
Mathematics
1 answer:
olganol [36]3 years ago
4 0

Answer: The needles were 0.375 inches longer than the ones needed.

Step-by-step explanation:

To find difference between two values, subtract:

0.6875 - 0.3125 = 0.3750, or 0.375

Hope this helps :)

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Jeremias invested $20 at a rate of 8.5% compounded continuously. How long would it take to triple his money?
3241004551 [841]

Answer:

  • 13

Step-by-step explanation:

<u>Use formula for continuous interest:</u>

  • A = Pe^{rt}, where r- interest rate, t- time in years

<u>If A = 3P, and r = 0.085 then the equation is:</u>

  • 3P = Pe^{0.085t}
  • 3 = e^{0.085t}
  • ln 3 = 0.085t
  • 1.099 = 0.085t
  • t = 1.099 / 0.085
  • t = 12.9 ≈ 13 years

3 0
3 years ago
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Find the area of the triangle.<br> 3 cm<br> 11 cm<br> C с<br> 14.5 cm
boyakko [2]

Answer: The answer is 43.5 because when using the formula you get this result.

Step-by-step explanation: Area of triangle is base x height divided by 2. So do our base 14.5 and our height 6 and multiply them together. 14.5 x 6 = 87 / 2 = 43.5

6 0
3 years ago
Binghamton scholars were counting around the room. The first scholar said "672,"
Gala2k [10]

Answer:

792. each time you add ten

6 0
2 years ago
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Question and choices are in the photo please explain the answer
Natasha_Volkova [10]

Answer:

\text{A) }68\:\mathrm{cm}

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.

Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a 90^{\circ}, creating right triangles \triangle TOP and \triangle SOP.

The Pythagorean Theorem states that the following is true for any right triangle:

a^2+b^2=c^2, where c is the hypotenuse, or the longest side, of the triangle

Thus, we have:

10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.

What we know:

  • TP=SP=24
  • TO=SO=10

Thus, the perimeter of the quadrilateral PTOS is equal to 24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}

7 0
3 years ago
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STALIN [3.7K]

Answer:

option A is the correct answer

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