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3 years ago

Evaluate n²+5 when n=3

Mathematics

1 answer:

kondor19780726 [428]3 years ago

5 0

Answer:

Step-by-step explanation:

When you sqaure a number you multiply it by itself once so it would be (3x3) + 5. Rmemeber PEMDAS, so you multiply 3x3 first to get 9 and then you add 5 to get 14.

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Slope = 4/3, (-2, 11)

Lady_Fox [76]

Answer:

y = $\frac{4}{3}$ x + $\frac{41}{3}$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = $\frac{4}{3}$ , hence

y = $\frac{4}{3}$ x + c ← is the partial equation

to find c substitute (- 2, 11) into the partial equation

11 = - $\frac{8}{3}$ + c ⇒ c = $\frac{41}{3}$

y = $\frac{4}{3}$ x + $\frac{41}{3}$ ← equation of line

7 0

3 years ago

What is the order from least to greatest? <br> -3, 1 1⁄4, -1 3⁄4, 1⁄10

Marianna [84]

Answer:

11/4 1/10/3/4 -/-3

Step-by-step explanation:

3 0

3 years ago

I need help on this question

storchak [24]

It’s the third one.. I think

7 0

3 years ago

Read 2 more answers

PLZ HELP<br> (3x+3/4x) - (6+1/2) = 4x<br> Solve for x

goldfiish [28.3K]

x=-26 is the final anwser :)

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3 years ago

If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the

Brrunno [24]

Answer:

$\left(100\pi - 150\sqrt{3}\right)$ square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be $10$ inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment $\sf CH$ be a height on side $\sf AB$ . Since this triangle is equilateral, the size of each internal angle will be $\sf 60^\circ$ . The length of segment

$\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}$ .

The area (in square inches) of this equilateral triangle will be:

$\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}$ .

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

$\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}$ .

<h3>Area of of the circle that is not covered</h3>

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is $10$ inches, the radius of this circle will also be $10$ inches.

The area (in square inches) of a circle of radius $10$ inches is:

$\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi$ .

The area (in square inches) of the circle that the hexagon did not cover would be:

$\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}$ .

3 0

3 years ago