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tamaranim1 [39]

2 years ago

11

Find the value of Sinx / COS X when x = 30°

1 answer:

maksim [4K]2 years ago

8 0

Answer:

$\frac{\sqrt{3}}{3}$

Step-by-step explanation:

You evaluate the the expression.

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The ratio of the ages of three children is 2:4:5. The sum of their ages is 33. What is the age of each child?

sdas [7]

We can represent this situation by the equation 2x+4x+5x=33.

Then 11x=33, and x = 3.

Then the children's ages are in the ratio 2x:4x:5x, or 2(3):4(3):5(3), or

6:12:15.

Do these 3 ages add up to 33? 6 + 12 + 15 = 33? YES!

The children's ages are 6, 12 and 15 years respectively.

4 0

2 years ago

Read 2 more answers

80 items were sold, bringing in $6,900 in receipts. Some items were sold at a discount for $75 each and some others were sold at

Leni [432]

Answer:

50 items were sold for $75

35 items were sold for $90

Step-by-step explanation:

75 x 50 = 3750

90 x 35 = 3150

3750 +3150 = 6,900

4 0

2 years ago

Karla's starting salary was $32,000.She gets a 700 raise every year. Write an equation that models this.

julsineya [31]

Answer:

Y=year

y=700+32,000

6 0

2 years ago

1. The number of rabbits on an island is increasing exponentially.

Zina [86]

Answer:

<em>There are approximately 114 rabbits in the year 10</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given two measurements of the population of rabbits on an island.

In year 1, there are 50 rabbits. This is the point (1,50)

In year 5, there are 72 rabbits. This is the point (5,72)

Substituting in the general model, we have:

$50=P_o(1+r)^1$

$50=P_o(1+r)\qquad\qquad[1]$

$72=P_o(1+r)^5\qquad\qquad[2]$

Dividing [2] by [1]:

$\displaystyle \frac{72}{50}=(1+r)^{5-1}=(1+r)^{4}$

Solving for r:

$\displaystyle r=\sqrt[4]{\frac{72}{50}}-1$

Calculating:

r=0.095445

From [1], solve for Po:

$\displaystyle P_o=\frac{72}{(1+r)^5}$

$\displaystyle P_o=\frac{72}{(1.095445)^5}$

$P_o=45.64355$

The model can be written now as:

$P=45.64355(1.095445)^t$

In year t=10, the population of rabbits is:

$P=45.64355(1.095445)^{10}$

P = 113.6

$P\approx 114$

There are approximately 114 rabbits in the year 10

5 0

2 years ago

Question 9 of 10

Sophie [7]

Answer:

d

Step-by-step explanation:

its a triangle all sides are equal. so it would be d-60 degrees

8 0

2 years ago