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just olya [345]
3 years ago
6

Find the unknown sizes of angles:​

Mathematics
2 answers:
almond37 [142]3 years ago
6 0

X=92

X+Y=180

Y=180-92

Y=88

Z=Y=88

:)

vichka [17]3 years ago
6 0

Step-by-step explanation:

<u>We </u><u>have</u><u>,</u>

  • x = 92 ( vertically opposite angles)
  • 92 + y = 180 { linear pair}

<u>So </u><u>that</u><u> </u><u>,</u>

  • y = 180-92
  • y = 88°

<u>And </u><u>,</u>

  • y = z ( VOA)
  • z = 88°
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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

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6 0
3 years ago
Como dividir 8.2 por 2.87
lakkis [162]
It would equal 11.07. it is right
3 0
4 years ago
Read 2 more answers
PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!
inn [45]

Answer:

m < 1 = 18°

Step-by-step explanation:

If <ABD = 72°, and m < 2 is three times the measure of m < 1, then:

Let < ABC = m < 1 =  x

     < CBD = m < 2 = 3x

We can set up the following formula, since the sum of the measures of angles < 1 and < 2 is equal to <ABD (72°):

m < 1 + m < 2 = < ABD

x + 3x = 72°

Add like terms:

4x = 72°

Divide both sides by 4 to solve for x:

\frac{4x}{4} = \frac{72}{4}

x = 18

Since x = 18, and m < 1 = x , then m < 1 = 18°.

And since m < 2 = 3x, then m < 2 = 3(18°) = 54°.

Let's check to see whether we derived the correct answers by plugging in the values of m < 1 and m < 2 into the established formula:

m < 1 + m < 2 = < ABD

18° + 54° = 72°

72° = 72° (True statement).

Please mark my answers as the Brainliest if my explanations were helpful :)

7 0
3 years ago
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