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Arlecino [84]
3 years ago
15

You can represent the measures of an angle and its complement as x° and (90 − x)°. Similarly, you can represent the measures of

an angle and its supplement as x° and (180 − x)°. Use these expressions to find the measures of the angles described. The measure of an angle is equal to four times the measure of its supplement. The measure of the angle is ° and the measure of its supplement is °.
Mathematics
1 answer:
UNO [17]3 years ago
4 0
X = 4(180 - x)
x = 720 - 4x
4x + x = 720
5x = 720
x = 720/5
x = 144

180 - x =
180 - 144 =
36

the measure of the angle is 144...the measure of its supplement is 36
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D is the right answer
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7 0
3 years ago
The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re
PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic  clarithromycin is eliminated from the body according to the formula:

A(t) = 500e^{-0.1386t}                 ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

100= 500e^{-0.1386t}

Divide both sides by 500 we get;

\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}

Simplify:

\frac{1}{5} = e^{-0.1386t}

Taking logarithm both sides with base e, then we have;

\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})

\log_e (\frac{1}{5})=-0.1386t         [ Using \log_e e^a =a ]

or

\log_e (0.2)=-0.1386t

-1.6094379124341 = -0.1386t

 [using value of \log_e (0.2) = -1.6094379124341 ]

then;

t = \frac{-1.6094379124341}{-0.1386}

Simplify:

t ≈11.61 hours.

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6 0
2 years ago
Mr. Ahmed has 31 students in his class. There are 14 boys and 17 girls.
densk [106]
Since there are 14 boys and the whole class has 31 students
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And since there are 17 girls
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7 0
1 year ago
Can someone please explain why 33 and 35 are these answers?
nordsb [41]
For #32,
P=2L+2W
Subtract 2W from both sides, and swap left and right
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L = P/2 - 2W/2
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For #35
Most of the expenses are in fractions (of the original amount, A), so they can be added:
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add the fractions, with a common denominator of 20,
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Now subtract 17A/20 from both sides and swap left and right
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Multiply both sides by 20/3  (to make one unit of A on the left)

(3/20)*(20/3) A = 750*20/3
A =250*20=5000

7 0
3 years ago
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