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4 years ago

8

15 POINTS PLEASEE SOMEOKE HELP ME WITH THIS

1 answer:

attashe74 [19]4 years ago

3 0

Imagine each horizontal line as 180 degrees. So if your angle measure on the top right is 81 the other side of that will be 99 degrees and then you can apply vertical angles. Since angle two is a vertical angle to the degree measure of 81 it is also 81. Which means angle three is equal to angle 1, which is 99 degrees. Now since the horizontal lines are parallel the same angle measure will apply to angles 4,5,6, and 7

Final answer angles 1,3,4,7 are 99 degrees
And angles 2,5,6 are 81 degrees

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A particle moves along the x-axis so that at time tâ‰¥0 its position is given by x(t)=2t3+3t2âˆ’36t+50. What is the total distan

Lunna [17]

Answer:

505 units

Step-by-step explanation:

The position function is

$x(t)=2t^3+3t^2+36t+50$

The distance traveled between $t=0$ and $t=5\ \text{s}$ is required so

$x(5)-x(0)=(2\times 5^3+3\times 5^2+36\times 5+50)-(2\times 0^3+3\times 0^2+36\times 0+50)\\\Rightarrow x(5)-x(0)=505\ \text{units}$

The distance traveled by the particle is 505 units.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

How to solve x^2-7=-x^2+1

andreev551 [17]

Answer:

Step-by-step explanation:

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3 years ago

If an item is purchased at $500 and it’s value increases at a rate of 5% per year what is the value after four years

qaws [65]

The value of $500 after four years is $610

<u>Step-by-step explanation:</u>

It is given that, the value of $500 increases at a rate of 5% per year.

The exponential formula is given by $y = ab^{x}$ .

where,

a is the initial amount.
b is the growth factor .

The growth factor b is replaced by either (1 + r) or by (1 - r).

where, r is the rate per year.

b= (1+r) represents the increase in growth rate.

b= (1-r) represents the decrease in growth rate.

Here, the growth rate is increased. So the formula is given by $y = a(1+r)^{n}$

where,

The initial amount, a = 500.
Rate, r = 5% = 5/100 = 0.05
Number of years, n= 4.
y = value of the item after 4 years

<u>To find y value :</u>

⇒ $y = 500(1+0.05)^{4}$

⇒ $y = 500 (1.05)^{4}$

⇒ $y = 500 \times 1.22$

⇒ $y = 610$

Therefore, the value of the item after four years is $610.

6 0

3 years ago