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miss Akunina [59]
2 years ago
12

At approximately what angle does the wire meet the ground? 33.6° 39.8° 50.2° 56.4°

Mathematics
1 answer:
nika2105 [10]2 years ago
8 0

The approximate angle that the wire meet the ground is 56.4 degrees

<h3>Angle of elevation and depression</h3>

The given set up result in a right triangle. A right triangle has one of its angles as 90degrees.

From the given diagram, we are to caculate the measure of beta. Using the SOH CAH TOA identity

sinβ = opposite/hypotenuse

sinβ = 10/12

sinβ = 0.8333

β = arcsin(0.8333)

β = 56.4 degrees

Hence the approximate angle that the wire meet the ground is 56.4 degrees

learn more on SOH CAH TOA here: brainly.com/question/22307176

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Help with this exponential function!
butalik [34]

The population size after 6 years and after 8 years are 147 and 169 population respectively

<h3>Exponential functions</h3>

The standard exponential function is expressed as y = ab^x

where

a is the base

x is the exponent

Given the function that represents the population size P (t) of the species as shown;

p(t)=\frac{550}{1+5e^{-0.1t}} \\

For the population size after 6 years

p(t)=\frac{550}{1+5e^{-0.1(6)}} \\P(6)=\frac{550}{3.744}\\ P(6)=147 population

For the population after 8 years

p(t)=\frac{550}{1+5e^{-0.1(8)}} \\P(8)=\frac{550}{3.2466}\\ P(8)=169 population

Hence the population size after 6 years and after 8 years are 147 and 169 population respectively

Learn more on exponential function here: brainly.com/question/2456547

#SPJ1

7 0
2 years ago
Write an exponential function for graph that passes through the following points (-3,80);(-1,20)
padilas [110]

Answer:

y

=

4

(

1

2

)

x

Explanation:

An exponential function is in the general form

y

=

a

(

b

)

x

We know the points

(

−

1

,

8

)

and

(

1

,

2

)

, so the following are true:

8

=

a

(

b

−

1

)

=

a

b

2

=

a

(

b

1

)

=

a

b

Multiply both sides of the first equation by

b

to find that

8

b

=

a

Plug this into the second equation and solve for

b

:

2

=

(

8

b

)

b

2

=

8

b

2

b

2

=

1

4

b

=

±

1

2

Two equations seem to be possible here. Plug both values of

b

into the either equation to find

a

. I'll use the second equation for simpler algebra.

If

b

=

1

2

:

2

=

a

(

1

2

)

a

=

4

Giving us the equation:

y

=

4

(

1

2

)

x

If

b

=

−

1

2

:

2

=

a

(

−

1

2

)

a

=

−

4

Giving us the equation:

y

=

−

4

(

−

1

2

)

x

However! In an exponential function,

b

>

0

, otherwise many issues arise when trying to graph the function.

The only valid function is

y

=

4

(

1

2

)

x

7 0
3 years ago
Can you Factor this equation?<br><br> 20mn - 15n
Greeley [361]
You can factor out a 5n to get
5n(4m-3)
7 0
3 years ago
The Ironman endurance race has a 2.4 miles swim. Javier can swim 0.5 miles in 20 minutes. If he can continue this pace, it will
Dafna1 [17]

Given :

The Ironman endurance race has a 2.4 miles swim.

Javier can swim 0.5 miles in 20 minutes.

To Find :

How much time in hours it takes to complete the race.

Solution :

Speed of Javier :

s=\dfrac{2.4}{\dfrac{20}{60}}\ mph\\\\s= 7.2\ mph

Let, time taken to cover 2.4 miles is t .

So,

t = \dfrac{2.4}{7.2}\ hours\\\\t = 0.33\ hours

Hence, this is the required solution.

7 0
3 years ago
There are 18 bulls and 45 cows on a ranch. If 4 more bulls and 4 more cows were added, will the ratio of bulls to cows remain th
Elanso [62]
Here is how to solve this:

18 +4 = 22 bulls

45 + 4 = 50 cows

The original ratio was, 18:45 but now its 22:50 so, no the ratio will not be the same.
<span />
5 0
2 years ago
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