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Vlada [557]
3 years ago
14

Full working out for this question please

Mathematics
1 answer:
kvv77 [185]3 years ago
3 0

Answer: B. t = 9.6tan(29°)

Step-by-step explanation:

<u>Based on the fact:</u>

tan(x)=\frac{opposite}{adjacent}

<u>Set x = 29 and solve:</u>

\\\\tan(29)=\frac{t}{9.6} \\\\t=9.6*tan(29)

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A city's population increases by 5% every year. If its population today is 300,000, write a function that models the population
ratelena [41]

Answer:

f(x) = 300,000(1.05)^x

Step-by-step explanation:

Use the exponential growth equation:

f(x) = a(1 + r)^x

Plug in 300,000 as a, since it is the original population:

f(x) = 300,000(1 + r)^x

The city's population is growing at 5% each year, so plug in 0.05 as r:

f(x) = 300,000(1 + 0.05)^x

f(x) = 300,000(1.05)^x

So, the function for the population growth is f(x) = 300,000(1.05)^x

6 0
3 years ago
Andy spent $55 in all to purchase 20 two-dollar and five-dollar toys. How many two-
Masja [62]
I’m not sure but if I’m right Jen it will be 1 two dollar toy and 5 five dollar toy
7 0
2 years ago
68+(-41)=?<br> Solved and show how you got the answer.
mars1129 [50]

Answer:

27

Step-by-step explanation:

68 + (-41) = ?

Well, adding a negative is the same as subtracting a positive, so...

68 + (-41)   =   68 - 41

68 - 41 = 27

7 0
3 years ago
Read 2 more answers
Type the correct answer in each box. Round the vector's magnitude to the nearest tenth.
Mama L [17]

Component form of u is (-18,13) and The magnitude of u is 22.2

<h3>What is a vector?</h3>

A vector is a two-dimensional entity with both magnitude and direction. A vector can be visualized geometrically as a directed line segment.

The component form of a vector is an ordered pair that describes the change in x and y values

This is mathematically expressed as (Δx, Δy) where Δx=x₂-x₁ and Δy=y₂-y₁

Given ;

Initial points of the vector as (14,-6)

The terminal point of the vector is (-4,7)

Here x₁=14,x₂=-4, y₁=-6,y₂=7

The component form of the vector u is (-4-14,7--6) =(-18,13)

Finding the Magnitude of the vector

u=√(x₂-x₁)²+(y₂-y₁)²

u=√-18²+13²

u=√324+169

u=√493

u=22.2

Therefore the Component form of u is (-18,13) and The magnitude of u is 22.2

To know more about vectors follow

brainly.com/question/25705666

#SPJ1

3 0
1 year ago
What is h(-4) for h(x) =(x-2)^2 +3x
PSYCHO15rus [73]

(- 4 - 2)^{2}  + 3( - 4) \\  = ( - 6)^{2}  + ( - 12) \\  = 36 - 12 \\  = 24
The answer is 24
7 0
3 years ago
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