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ANTONII [103]
3 years ago
6

In 2009 the life expectancy is about 80 life expectancy gains 5.7 years every decade. From 2009 in how many years would humanity

achieve a life expectancy of 120 years
Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Answer:

  about 70 years

Step-by-step explanation:

Life expectancy (e) improves by 5.7 years every 10 years, so 5.7/10 = 0.57 years per year. For t years after 2009, it can be modeled by ...

  e = 0.57t +80

We want to find when that is 120:

  120 = 0.57t +80

  40 = 0.57t

  40/0.57 = t ≈ 70.2

About 70 years from 2009, humanity may achieve a life expectancy of 120 years.

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In ⊙O, ST and VT are tangents. m∠STV = 22°. Find the value of a, b, and m∠SOV.
Rasek [7]

Answer:

\huge \orange {\boxed {a =202\degree}}

\huge \purple {\boxed { b = 158\degree}}

\huge \red {\boxed {m\angle SOV = 158\degree}}

Step-by-step explanation:

In \odot O, ST and VT are tangents at points S and V respectively.

\therefore OS\perp ST, \:and\: OV\perp VT

\therefore m\angle OST=m\angle OVT = 90\degree

In quadrilateral OSTV,

m\angle SOV +m\angle OST+m\angle OVT+m\angle STV = 360\degree

(By interior angle sum postulate of a quadrilateral)

m\angle SOV +90\degree +90\degree +22\degree  = 360\degree

m\angle SOV +202\degree  = 360\degree

m\angle SOV = 360\degree-202\degree

\huge \red {\boxed {m\angle SOV = 158\degree}}

\because b = m\angle SOV

(Measure of minor arc is equal to measure of its corresponding central angle)

\huge \purple {\boxed {\therefore b = 158\degree}}

\because a + b= 360\degree

(By arc sum property of a circle)

\therefore a = 360\degree - b

\therefore a = 360\degree -158\degree

\huge \orange {\boxed {\therefore a =202\degree}}

6 0
3 years ago
Janice’s twin sister, Janette, is also working to save money over the summer. She is in college and needs $1,000 for her books f
valina [46]

Answer:

A. It will take 13 weeks until she gets the money nd she will have $50 left!

Step-by-step explanation:

Please mark brainliest! Have a nice day!

4 0
3 years ago
The greatest comen factor of 21, 30,49
liq [111]
The greatest common factor for 21 is 7
For 30 is 15
49 is 7

I’m no totally sure but i think that is right
4 0
3 years ago
Help me out please an thank you
MakcuM [25]
The answer is 46.
Since the sum of the interior angles of a triangle is always 180,
We can find out angle C by subtracting the other two angles
180-102-32=46
3 0
3 years ago
Taxes on house assessed at 64,000 are 1500 a year. If the assessment is raised to 85000 and tax rate did not change how much wou
larisa86 [58]
1992.1875
1500/64000= 0.0234375
0.0234375 x 85000=1992.1875
6 0
3 years ago
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