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3 years ago

Please help this is the last question and i don’t understand

Mathematics

1 answer:

tiny-mole [99]3 years ago

5 0

Answer: 30

Step-by-step explanation:

The angles of triangles have to add up to 180°

So:

x + x + 70 + x + 20 = 180

Bring like terms together

x + x + x + 70 + 20 = 180

3x + 90 = 180

Subtract 90 from both sides

3x = 90

Divide both sides by 3

x = 30

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And amusement parks his child and adult tickets on a ratio of 8 to 1 on Saturday they sold 147 more child tickets then adult tic

BARSIC [14]

Dosen't make sense.. 8-1?

6 0

3 years ago

Read 2 more answers

Cesium-137 has a half-life of about 30 years. A) Find the annual decay rate and round final result to 4 decimal places. B) Find

MrMuchimi

Answer:

0.0228
0.0231
100 years
0

Step-by-step explanation:

The exponential equation for the fraction remaining after x years can be written as ...

y = (1/2)^(x/30)

A) For x=1, the fraction remaining is ...

y = (1/2)^(1/30) ≈ 0.97716 = 1 - 0.0228

Of the original amount, 0.0228 decays each year.

B) The continuous decay rate is the natural log of the growth factor, so is ...

ln(0.97716) = -0.0231

The continuous decay rate is 0.0231 of the present amount (per year).

C) For y=.10 (1/10 of the original amount) we find x to be ...

.1 = .5^(x/30)

ln(.1) = (x/30)ln(.5) . . . . . take the natural log

30ln(0.1)/ln(0.5) = x ≈ 100 . . . years

It will take 100 years for a 10-gram sample to decay to 1 gram.

D) As x goes to infinity, y goes to zero.

_____

The relationship between growth rate and growth factor is ...

growth factor = 1 + growth rate

When the growth rate is negative, it is called a decay rate.

8 0

4 years ago

The formula N(x) = x2 -2x + 2016 represents the number N of gang-related homicides across the country x years after 2017. Accord

yuradex [85]

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

(

2015

)

Focus:

(

8061

)

Axis of Symmetry:

Directrix:

8059

−

2019

2016

2015

2016

2019

Step-by-step explanation:

5 0

3 years ago

The number of students enrolled at a college is 15,000 and grows 4% each year. the percentage rate of change is 4%, so the growt

frozen [14]

Answer:

The growth factor b is 1.04

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

$y=a(b^x)$

where

y ---> is the number of students enrolled at a college

x ----> the number of years

a is the initial value or y-intercept

b is the growth factor

b=(1+r)

r is the rate of change

we have

$a=15,000\ students$

$r=4\%=4/100=0.04$

$b=1+0.04=1.04$

therefore

The exponential function is equal to

$y=15,000(1.04^x)$

6 0

3 years ago

How do you find a interest rate

fredd [130]

Search on google you’ll get it pretty fast

7 0

3 years ago