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3 years ago

Find the measure of the missing angle

Mathematics

1 answer:

lapo4ka [179]3 years ago

8 0

Answer:

Approximately 35, or 34.67

Step-by-step explanation:

You can set up a cosine (adjacent over hypotenuse) equation.

cos38 = x/44

Move the 44 over and plug into the calcultaor.

x = 44cos38

(make sure the mode is on degree and not radian!)

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The population of a city is modeled by the equation P(t)=232012e0.23t where t is measure in years. If the city continues to grow

Gennadij [26K]

In around 6.35 years, the population will be 1 million.

<h3> how many years will it take for the population to reach one million?</h3>

The population is modeled by the exponential equation:

$P(t) = 232,012*e^{0.23*t}$

Then we just need to solve the equation for t:

$P(t) = 232,012*e^{0.23*t} = 1,000,000$

Let's solve that:

$232,012*e^{0.23*t} = 1,000,000\\\\e^{0.23*t} = 1,000,000/232,012 = 4.31\\$

If we apply the natural logarithm to both sides:

$ln(e^{0.23*t}) = ln(4.31)\\\\0.23*t = ln(4.31)\\\\t = ln(4.31)/0.23 = 6.35$

So in around 6.35 years, the population will be 1 million.

If you want to learn more about exponential equations:

brainly.com/question/11832081

#SPJ1

5 0

1 year ago

A taxi charges$2.50 plus $2 for every mile traveled. Find the number of miles traveled for a fare of $10.50.

iVinArrow [24]

Answer:

4 miles

4x2=8

8+2.50=10.50

3 0

2 years ago

A restaurant makes pizzas with 6-inch diameters ad 12-inch diameters. Which of the following statement is true?

a_sh-v [17]

Answer:

The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

Step-by-step explanation:

The area (A) of each pizza is given by:

$A = \pi r^{2}$

Where:

r: is the radius

For the 12-inch pizza we have:

$A_{12} = \pi (\frac{12 inch}{2})^{2} = 113.1 inch$

And for the 6-inch pizza we have:

$A_{6} = \pi (\frac{6 inch}{2})^{2} = 28.3 inch$

The ratio between A₆ and A₁₂ is:

$\frac{A_{6}}{A_{12}} = \frac{28.3 inch}{113.1 inch} = 0.25 = \frac{1}{4}$

Hence:

$A_{6} = \frac{A_{12}}{4}$

Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

I hope it helps you!

4 0

3 years ago

Factor completely.<br><br> x2+7x−18<br><br><br> Answer now PLZZZZZ

zimovet [89]

Answer: ( − 2) ( + 9)

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3 years ago

Express 2.65 as a mixed number in the lowest terms

zmey [24]

Answer:

2 13/20

Step-by-step explanation:

8 0

2 years ago

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