All categories

3 years ago

What is an integer between the square root of 30 and 4*Pi divided by 3

Mathematics

1 answer:

Andru [333]3 years ago

3 0

$\sqrt{30}\approx5.5\\
\frac{4\pi}{3}\approx4.2$

It's 5.

You might be interested in

The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is

blondinia [14]

Hi there!

$\boxed{= 70 + cos(12) - cos(2) \approx 71.26}$

$\int\limits^{12}_{2} {x-sin(x)} \, dx$

We can evaluate using the power rule and trig rules:

$\int x^n = \frac{x^{n+1}}{n+1}$

$\int x = \frac{1}{2}x^{2}$

$\int -sin(x) = cos(x)$

Therefore:

$\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}$

Evaluate:

$(\frac{1}{2}(12^{2})+cos(12)) - (\frac{1}{2}(2^2)+cos(2))\\= (72 + cos(12)) - (2 + cos(2))\\\\= 70 + cos(12) - cos(2) \approx 71.26$

3 0

3 years ago

The shaded region in the graph represents the solutions of this system of linear inequalities:

kotegsom [21]

Answer:

$y$

$y\leq 2x+3$

Step-by-step explanation:

step 1

Find the equation of the solid line

From the graph take the points (0,3) and (4,11)

Find the slope

$m=(11-3)/(4-0)\\m=8/4=2$

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=2$

$b=3$ ----> the y-intercept is the point (0,3)

substitute

$y=2x+3$

therefore

The inequality is

$y\leq 2x+3$

step 2

Find the equation of the dashed line

The slope is given

$m=4$

From the graph take the y-intercept (0,-5)

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=4$

$b=-5$

substitute

$y=4x-5$

therefore

The inequality is

$y$

because the shaded region is below the dashed line

therefore

The system of inequalities is

$y$

$y\leq 2x+3$

8 0

3 years ago

I NEED HELP NOWWWWW. PLEEEASSSE ANSWER QUICKLY WITH CORRECT ANSWER. WILL BE AWARDED WITH BRAINLIEST ANSWER.

Annette [7]

Answer:

The two angles mentioned are alternate interior angles, so they are congruent.

303 feet.

Step-by-step explanation:

If you draw off the flag you can see they are alternate interior and are congruent.

Also again, make a diagram it really helps a lot

6 0

3 years ago

Consider the number pattern -6, -11, -16, -21..... Which term of the pattern =-401?

steposvetlana [31]

Answer:

First get the formula for your pattern in the form of TN. Where d represents your difference and a represents your first term. Then equate the -401 to your formula and solve for n

7 0

2 years ago

This is a easy question, but what is the easiest way you could solve for slope? <br> :) ty

Cloud [144]

Seeing where the x and y diffreant on the line :)

4 0

3 years ago

Read 2 more answers