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2 years ago

Which of the sets of ordered pairs represents a function? (1 point)

Mathematics

1 answer:

Lyrx [107]2 years ago

8 0

Answer:

Only B

Step-by-step explanation:

A has 2 pairs with the x as the number 2, so they are not functions.

B has all independent pairs with their own numbers

So only B is the correct answer.

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A plane is flying 3900 m above the ground level. The angle of elevation from the control tower to the plane is

Tcecarenko [31]

The horizontal distance to the control tower is approximately 18506.83m

Data;

distance from the ground = 3900m
angle of elevation = 11.4 degrees
horizontal distance = ?

<h3>Trigonometric Ratio</h3>

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

$tan\theta = \frac{opposite}{adjacent} \\tan11.4 = \frac{3900}{x}\\x = \frac{3900}{tan11.4}\\ x = 18506.83m$

The horizontal distance to the control tower is approximately 18506.83m

Learn more on trigonometric ratio here;

brainly.com/question/4326804

3 0

1 year ago

7 cups of coffee and 4 pieces of toast cost $20 . 5 cups of coffee and 3 pieces of toast cost $14.50 . find the cost of each ite

Angelina_Jolie [31]

Answer:

Step-by-step explanation:

Bánh mì 1.5 đô

Cà phê 2 đô

5 0

2 years ago

A person invests $4000 at 2% interest compounded annually for 4 years and then invests the balance (the $4000 plus the interest

faltersainse [42]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4000\\
r=rate\to 2\%\to \frac{2}{100}\to &0.02\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &4
\end{cases}
\\\\\\
A=4000\left(1+\frac{0.02}{1}\right)^{1\cdot 4}\implies A=4000(1.02)^4\implies A\approx 4329.73$

then she turns around and grabs those 4329.73 and put them in an account getting 8% APR I assume, so is annual compounding, for 7 years.

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4329.73\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &7
\end{cases}
\\\\\\
A=4329.73\left(1+\frac{0.08}{1}\right)^{1\cdot 7}\implies A=4329.73(1.08)^7\\\\\\ A\approx 7420.396$

add both amounts, and that's her investment for the 11 years.

7 0

2 years ago

The pancakes contain 1 cup of milk,1 cup of flour, and 2 eggs. What is the ratio of milk to flour

Alex Ar [27]

Answer:

1:1

Step-by-step explanation:

3 0

2 years ago

(x - 4/6) = (x + 2/12) what is x please show your work.

Sergio039 [100]

The equation has no solution

4 0

3 years ago