3 years ago

Supposed y varies directly as x and y =21 when x=3

1 answer:

5 0

Hey men Is the number 7

You might be interested in

Furkat [3]

The answer is D: rectangle

7 0

4 years ago

Nana76 [90]

Look at the picture.

$\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}$

We have the right triangle x, y and r. From the Pythagorean theorem we have:

$r^2=x^2+y^2\to r=\sqrt{x^2+y^2}$

We have the point

$\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)$

Substitute:

$r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1$

$\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}$

8 0

3 years ago

Lana71 [14]

Answer:

10.23 miles

Step-by-step explanation:

1 hour = 3600 seconds

$\frac{60}{4} =\frac{x}{3600} \\\\4x=216000\\x=54000$

54000 ft = 10.23 miles

5 0

3 years ago

Montano1993 [528]

To solve this problem, you have to divide the price by the number of gallons. So 56.25/15 = 3.75 Therefore Genevieve payed $3.75 per gallon

7 0

4 years ago

atroni [7]

Consider, pls, this option.
Please, change the design according to local requirements.

8 0

3 years ago