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4 years ago

Which of the statements below best describes direct variation?

Mathematics

1 answer:

REY [17]4 years ago

8 0

Direct variation is when one variable changes the other changes in proportion of the first, therefore all the above

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A \greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color greenD, 4, space, c, m, times, 6, space, c, m, end color greenD re

gayaneshka [121]

Answer:

356 cm².

Step-by-step explanation:

Step one: The first thing to do here is to Calculate the area of rectangle. The area of the rectangle can be calculated by using the formula below;

Area of rectangle = width × length = 6 × 4 = 24 cm².

Step two: the next step is to calculate the area of the circle. The area of the circle can be calculated by using the formula below;

Area of a circle = (radius)^2 × π.

Area of a circle = (11)^2 × π = 380.13 cm².

Step three: the next thing to do is to calculate the area of the shaded region which is the difference between the Area of a circle and the Area of rectangle.

That is; 380.13 cm² - 24 cm² = 356.13 cm².

6 0

3 years ago

Find the equation of the line normal to the curve of y=3cos1/3x, Where x=\pi

sertanlavr [38]

Answer:

$y = \frac{\sqrt{2}x}{3} - \frac{\sqrt{2}\pi}{3} + 1.5$

Step-by-step explanation:

The equation to the line normal to the curve has the following format:

$y - y(x_{0}) = m(x - x_{0})$

In whicm m is the derivative of y at the point $x_{0}$

In this problem, we have that:

$x_{0} = \pi$

$y(x) = 3\cos{\frac{x}{3}}$

$y(\pi) = 3\cos{\frac{\pi}{3}} = \frac{3}{2}$

The derivative of $\cos{ax}$ is $a\sin{ax}$

$y(x) = 3\cos{\frac{x}{3}}$

$y'(x) = 3*\frac{1}{3}\sin{\frac{x}{3}} = \sin{\frac{x}{3}}$

$m = \sin{\frac{\pi}{3}} = \frac{\sqrt{2}}{3}$

The equation of the line normal to the curve of y=3cos1/3x is:

$y - y(x_{0}) = m(x - x_{0})$

$y - \frac{3}{2} = \frac{\sqrt{2}}{3}(x - \pi)$

$y = \frac{\sqrt{2}}{3}(x - \pi) + \frac{3}{2}$

$y = \frac{\sqrt{2}x}{3} - \frac{\sqrt{2}\pi}{3} + 1.5$

8 0

4 years ago

A research group wants to find the opinions’ of city residents on the construction of a new downtown parking garage. What is the

OLga [1]

Answer:

downtown workers

Step-by-step explanation:

The research group should do the survey with downtown workers in order to find the opinions for the construction of a new downtown parking garage in downtown. Since the workers need to commute to downtown for work by various modes such as buses, private vehicles, bicycles, taxis, share vehicles, etc., therefore the the research group will get maximum useful information from the downtown workers for the construction of a new parking garage.

Thus, option "downtown workers" is correct.

3 0

3 years ago

On a number line, suppose point E has a coordinated of 2, and EG =4. What are the possible coordinates of point G

Marrrta [24]

The coordinate of point G can either be -2 or 6 on the number line.

We are given that on a number line the coordinate of point E is 2.

Also, the distance between point E and point G that is EG is 4.

So, G can either lie on the left of E or on the right of E.

If it lies on the left of E, then the coordinate of point G will be:

G = 2 - 4 = -2

And if it lies on the right of E, then the coordinate of point G will be:

G = 2 + 4 = 6.

Therefore, the coordinate of point G can either be -2 or 6 on the number line.

Learn more about number line here:

brainly.com/question/4727909

#SPJ9

8 0

2 years ago

Can someone help? I don’t understand this

Bond [772]

Answer:

118 I guess

Step-by-step explanation:

a and B are both congruent so it's both 31 and you subtract 62 from 180

6 0

3 years ago