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AlladinOne [14]
2 years ago
14

Fine the product:3 x 5 (2)

Mathematics
1 answer:
Delvig [45]2 years ago
3 0

Answer:

30 because 3 x 5=15 then x2 it's 30

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What two numbers multiply to -52 and add up to 24
harkovskaia [24]

Answer:

-2 and 26

Step-by-step explanation:

Multiply to -52:

-2 * 26= -52

Add to 24

-2+26= 24

8 0
2 years ago
Read 2 more answers
Find the area of the shaded portion in the square. Show all work for full credit.
kumpel [21]
Well, what I would do [not sure if it's the correct way], is use the white area as a sector of a circle. The top right of the box is the center of the circle, so the radius is 6.
Then, by the white portion being one quarter of the circle (90° out of 360°), I could calculate the that pink shaded region = the total square (6×6) minus the white sector.
So area (A) of white sector (s): A(s) = 1/4×pi×r^2
A(s) =  \frac{\pi {r}^{2} }{4}  =  \frac{\pi  \times {6}^{2} }{4}  \\ A(s) =  \frac{36\pi}{4}  = \frac{9\pi}{1}  = 9x3.142 \\ A(s) = 28.27
36 - 28.27 = 7.73
6 0
3 years ago
Read 2 more answers
If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24
VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let r be the radius and \theta be the angle of a circle.

According with the graph, the area of the sector is given by

A=\frac{1}{2}r^2\theta

The arc lenght of a circle with radius r and angle \theta is r \theta

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

2r+r\theta=24 \:in

We need to express the area as a function of one variable, to do this we use the above equation and we solve for \theta

2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}

Next, we substitute this equation into the area equation

A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2

The domain of the area is

0

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r

12-2r=0\\-2r=-12\\\frac{-2r}{-2}=\frac{-12}{-2}\\r=6

To check if r=6 is a maximum we use the Second Derivative test

if f'(c)=0 and f''(c), then f(x) has a local maximum at x = c.

The second derivative is

\frac{d}{dr} A'(r)=\frac{d}{dr} (12-2r)\\A''(r)=-2

Because A''(r)=-2 the largest slice is when r = 6 in.

The diameter of the pizza is given by

D=2r=2\cdot 6=12 \:in

A 12 in diameter will reward you with the largest slice of pizza.

3 0
3 years ago
SALE
RUDIKE [14]

Answer:

$15

Step-by-step explanation:

60x75%

60x0.75

45

60-45=15

5 0
2 years ago
Select the graph of y=cot x.
Kisachek [45]

Because of the vertical asymptote and the change in concavity, we conclude that the correct option is B.

<h3>Which is the graph of cotangent of x?</h3>

Remember that cot(x) = 1/tan(x).

Then we can rewrite:

cot(x) = cos(x)/sin(x).

We know that for x = 0, we have:

cot(0) = cos(0)/sin(0) = 1/0

Then we have a vertical asymptote that tends to ± infinity.

The only graph that meets this condition is the second and the third one, and by the curvature (we need to have a change of concavity/convexity) in the tangent function.

From that, we conclude that the correct option is B.

If you want to learn more about trigonometric functions:

brainly.com/question/8120556

#SPJ1

7 0
1 year ago
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