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3 years ago

Solve 3x ^2 + 2 = 11 - x ^2

Mathematics

1 answer:

ale4655 [162]3 years ago

4 0

2x=3 or x=3/2 i think thats right

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An airplane pilot can see the top of a traffic control tower at a 20 degree angle of depression. the airplane is 5,000 feet away

daser333 [38]

The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

$\tan{20^o}=\cfrac{opp}{hyp}=\cfrac{x}{5,000}\\ \\ \Rightarrow x=5,000\tan{20^o}=1,819.85$

Therefore, the height of the airplane above the tower is 1,819.85 feet.

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3 years ago

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The value of a bank account, y, increases by 5% each year, x. If the initial value of the account is $800, which equation repres

Mashcka [7]

Answer:

Equation to represent the situation = $800=Y(1.05)^X$

Step-by-step explanation:

Given:

Initial investment = Y

Growth rate (r) = 5% = 5 / 100 = 0.05

Number of year (n) = X year

Amount after X year = $800

Find:

Equation to represent the situation:

Computation:

$Amount = Initial\ investment (1+r)^n\\\\800 = Y (1+0.05)^X\\\\800 = Y (1.05)^X\\\\$

Equation to represent the situation = $800=Y(1.05)^X$

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3 years ago

Chelsey put $450 off bro an account with an interest rate of 2.5% when she withdrew her money she had earned $67.50 in interest

AysviL [449]

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$67.50\\ P=\textit{original amount deposited}\dotfill & \$450\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years \end{cases} \\\\\\ 67.50 = (450)(0.025)(t)\implies \cfrac{67.50}{(450)(0.025)}=t\implies 6=t$

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2 years ago

Five Stars and Brainliest To Correct Answer

Westkost [7]

The correct answer is x = 1/28y^2

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3 years ago

a survey found that 40% of Shoppers at Max a Mart like chocolate ice cream is 20 Shoppers likes chocolate ice cream how many peo

taurus [48]

Let the total number of people surveyed by y.
we can solve this by using algebra.

to find the percentage of a number in terms of decimals or integers, just multiply the total by the percentage,
so with this question,
y x 40% = 20
shift x40% to the other side and turn it into /40%
y = 20 / 40%
change the percentage into decimals for easier calculations,
y = 20 / 0.4
y = 50

therefore, the answer to this is 50 people.

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4 years ago

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