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1 year ago

Solve for x in the following diagram. PLS ANSWER ASAP

Mathematics

1 answer:

Radda [10]1 year ago

7 0

The value of x from the diagram is 44

<h3>Lines and angles</h3>

Angles is the point where two lines meet.

From the given diagram;

x+(180-x)/2 = 112

Simplify the expression

2x+(180-x) = 224

2x+180-x = 224

x + 180 = 224

x = 224 - 180

x = 44

Hence the value of x from the diagram is 44

Learn more on lines and angles here; brainly.com/question/25770607

#SPJ1

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If a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation of the line?

zhannawk [14.2K]

-2=3x+0 Would Be The Equation

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4 years ago

Please help me with this

krek1111 [17]

Answer:

2827.4ft.^3

Step-by-step explanation:

Volume of a Cone:

V = πr^2 h/3

V = π·15^2·12/3

= 2827.43339

Rounded to the nearest tenth = 2827.4ft.^3

Hope this helps :)

7 0

3 years ago

Task 2 a. Do some research and find a city that has experienced population growth. Determine its population on January 1st of a

Galina-37 [17]

Exponential functions are functions defined by y = ab^x, where a represents the initial value, and b represents the rate

<h3>The equation of a city that has experienced a population growth</h3>

The initial population of the city is 10000, and the growth rate of the population is 4%.

So, the exponential equation is:

$y = 10000 * 1.04^x$

<h3>The equation of a city that has experienced a population decline</h3>

The initial population of the city is 12000, and the decay rate of the population is 3%.

So, the exponential equation is:

$y = 12000* 0.97^x$

<h3>The similarities in the equations</h3>

The similarity in both equations is that, they both represent exponential function.

<h3>The year the population of city A exceeds B</h3>

In (a) and (b), we have:

$y = 10000 * 1.04^x$ ---- city A

$y = 12000* 0.97^x$ --- city B

When city A exceeds city B, we have the following inequality

$10000 * 1.04^x > 12000 * 0.97^x$

Divide both sides by 10000

$1.04^x > 1.2 * 0.97^x$

Divide both sides by 0.97^x

$(\frac{1.04}{0.97})^x > 1.2$

$1.07^x > 1.2$

Take the natural logarithm of both sides

$\ln(1.07)^x > \ln(1.2)$

This gives

$x\ln(1.07) > \ln(1.2)$

Solve for x

$x > \frac{\ln(1.2)}{\ln(1.07)}$

$x > 2.69$

This means that, the population of city A will exceed city B after 3 years

<h3>The year the population of city A will be at least twice of city B</h3>

In (a) and (b), we have:

$y = 10000 * 1.04^x$ ---- city A

$y = 12000* 0.97^x$ --- city B

When city A is at least twice city B, we have the following inequality

$10000 * 1.04^x \ge 2 * 12000 * 0.97^x$

$10000 * 1.04^x \ge 24000 * 0.97^x$

Divide both sides by 10000

$1.04^x \ge 2.4 * 0.97^x$

Divide both sides by 0.97^x

$(\frac{1.04}{ 0.97})^x \ge 2.4$

$1.07^x \ge 2.4$

Take the natural logarithm of both sides

$\ln(1.07)^x \ge \ln(2.4)$

This gives

$x\ln(1.07) \ge \ln(2.4)$

Solve for x

$x\ge \frac{\ln(2.4)}{\ln(1.07) }$

$x\ge 12.9$

This means that, the population of city A will be at least twice city B after 13 years

Read more about exponential functions at:

brainly.com/question/11464095

3 0

3 years ago

How do I make 120% into a fraction and a decimal number?

artcher [175]

120/100 is your fraction and 1.2 in a decimal
Hope that helps.

6 0

3 years ago

Read 2 more answers

Ok but... what's 6+6? I've been stuck on this forever and i can't see to find the answer. 0-0

Rudik [331]

6 + 6 = 12

I-

Whatever-0

6 0

3 years ago