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3 years ago

What’s the size of the missing angle

Mathematics

2 answers:

goldenfox [79]3 years ago

5 0

Answer:

Option D, 44

Step-by-step explanation:

Step 1: Find the size of the missing angle

All triangles add up to 180 degrees.

$106 + 30 + x = 180$

Step 2: Combine like terms

$(106 + 30) + x = 180$

$136 + x = 180$

Step 3: Subtract 136 from both sides

$136 + x - 136 = 180 - 136$

$x = 44$

Answer: Option D, 44

RideAnS [48]3 years ago

3 0

Answer:

Step-by-step explanation:

106 + 30 = 136

180 - 136 = 44

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What number is39% of 120

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PLEASE HELP!!! I NEED HELP ASAP

Tju [1.3M]

Answer:

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Explanation:

This question is asking you to write a linear equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

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1 year ago

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GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

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