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4 years ago

12

Can you help me find the values of x and y. Please

1 answer:

ivanzaharov [21]4 years ago

5 0

When a triangle has angles 30°, 60°, and 90°, its side lengths are related to each other by a special ratio.

This ratio is such that the side opposite the 30°-angle is 1, the hypotenuse is 2, and the side opposite the 60°-angle is √3. This gives a ratio 1:2:√3.

Now, if we put in 7 for the side length opposite the 30°-angle, then the hypotenuse y must be 2 · 7, or 14, and the unknown leg x must be 7√3.

In sum: $x=7 \sqrt{3}$ , $y=14$ .

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Eli invested $ 330 $330 in an account in the year 1999, and the value has been growing exponentially at a constant rate. The val

Cloud [144]

Answer:

The value of the account in the year 2009 will be $682.

Step-by-step explanation:

The acount's balance, in t years after 1999, can be modeled by the following equation.

$A(t) = Pe^{rt}$

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

$330 in an account in the year 1999

This means that $P = 330$

$590 in the year 2007

2007 is 8 years after 1999, so P(8) = 590.

We use this to find r.

$A(t) = Pe^{rt}$

$590 = 330e^{8r}$

$e^{8r} = \frac{590}{330}$

$e^{8r} = 1.79$

Applying ln to both sides:

$\ln{e^{8r}} = \ln{1.79}$

$8r = \ln{1.79}$

$r = \frac{\ln{1.79}}{8}$

$r = 0.0726$

Determine the value of the account, to the nearest dollar, in the year 2009.

2009 is 10 years after 1999, so this is A(10).

$A(t) = 330e^{0.0726t}$

$A(10) = 330e^{0.0726*10} = 682$

The value of the account in the year 2009 will be $682.

4 0

3 years ago

I will give brainliest, Geometry

Hitman42 [59]

Sorry udk jdjsnakksjxhxbebwnwkqkqkkqvut but here u go cat butt hhahahshshwbbansjs nobreally I just need to answer a question to ask one so sorryyyy

7 0

3 years ago

A camera has a listed price of $876.99 before tax. If the sales tax rate is 6.75%, find the total cost of the camera with sales

avanturin [10]

Answer:

$936.18

Byehave fun k bye

5 0

3 years ago

tammy is 14 years old. she has a younger sister and an older brother. her sister is 12. the mean of all their ages is 14. how ol

mafiozo [28]

Answer:

16

Step-by-step explanation:

To solve, we can use an equation finding the average of the siblings'ages.

$\frac{14 + 12 + x}{3} = 14 \\ \ 14 + 12 + x = 42 \\ x = 42 - 14 - 12 \\ x = 16$

7 0

3 years ago

What is 11 Over 12+4 Over 9?

erastova [34]

11/16/9= is 11÷16÷9 which is approximately 0.076

3 0

3 years ago