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Serhud [2]
3 years ago
9

The perimeter of a quarter circle is 14.28 KM. What is the quarter circle's area?

Mathematics
2 answers:
____ [38]3 years ago
8 0

Answer:

Circumference= 2πr

Circumference= perimeter  

14.28km= 2(3.14)r

14.28= 6.2831853072r

divide both sides by 6.2831853072

2.27= r

ANSWER: The radius is 2.27km

Hope this helps!

love history [14]3 years ago
4 0

Answer:

50.27

Step-by-step explanation:

perimeter= length of arc + 2r= 14.28

length of arc= rx where x is the angle which is pi/2

radius =4

area= pi* r^2= 50.27

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Adalimumab (Humira), a recombinant human monoclonal antibody, is available in a prefilled syringe containing 40 mg/0.8 mL. Calcu
Neporo4naja [7]

Answer:

The concentration of the drug is 50mg/mL.

Step-by-step explanation:

This problem can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this problem, as the number of mg increases, so does the number of mL. It means the we have a direct rule of three.

Tha problem states that the antibody is available in a prefilled syringe containing 40 mg/0.8 mL. Calculate the concentration of drug on a mg/mL basis.

The problem wants to know how many mg are there in a mL of the drug.

40mg - 0.8mL

x mg - 1 mL

0.8x = 40

x = \frac{40}{0.8}

x = 50mg.

The concentration of the drug is 50mg/mL.

8 0
3 years ago
Someone help me pls
butalik [34]

the answer is A

5^-8 × 5^4= 5^-8+4

= 5^-4

= 1/5^4

8 0
3 years ago
​5/3 ×(− 6/7) pls answer
timama [110]

Answer:

Mixed Number Form:

-1   3/7

Step-by-step explanation:

4 0
3 years ago
What is 10% of 3,457?
miv72 [106K]

Answer:

345.7

Step-by-step explanation:

multiply .10 by 3,457 and thqt would be your answer

6 0
3 years ago
PLEASE HELP ME ON 6-11 AND SHOW WORK PLEASE!!
pychu [463]

Answer:

6) 6\sqrt{2}

9) 40

10) \frac{5\sqrt{2} }{2}

11) 13

Step-by-step explanation:

6)A right triangle rule: if 2 legs are equal, the hypotenuse is the length of that leg*\sqrt{2}

9) Pythagorean Theorem

a^{2} +b^{2} =c^{2}

We know the hypotenuse (41) so we substitute that for c and 9 for b now we need to find a

\sqrt{41^{2}-9^{2}  } which gives us 40

10) same with #6 but we do the opposite. SInce we have the hypotenuse, we can divide that by \sqrt{2} because we know that if 2 legs are equal, the hypotenuse is multiplied by \sqrt{2}. Multiply the numerator and denominator by \sqrt{2} because we can't have a square root in the denominator.

11) like #9 we have the a and b but we need to find c

a=5 b=12 c=r

so \sqrt{5^{2}+12^{2}  } which gives us 13

6 0
3 years ago
Read 2 more answers
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