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3 years ago

Suppose a spider moves along the edge of a circular web at a distance of 3cm from the center.

1 answer:

7 0

When we say southwest, we refer to the direction of the spider by which it is directly 45° downward in Quadrant III. In other words, it is 225° from the positive x-axis. The values are obtained by multiplying the given radius by the sine and cosine of the angle.
x-coordinate = (3 cm)(cosine 225°) = -2.12 cm
y-coordinate = (3 cm)(sine 225°) = -2.12 cm
Therefore, the coordinate of the spider is,
(-2.12, -2.12)

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Divide 380 among A, B and C in such a way that B gets 30 more than A and C gets 20 more than B.

Readme [11.4K]

Answer:

A = 100 B = 130 C = 150

Step-by-step explanation:

Translated into a system of equations:

A+B+C = 380

B = A+30

C = B + 20

So we find B from the last one:

B = C-20

Plug it in the second one:

C-20 = A+30

A = C-50

Plug it in the first:

C-50 + C-20 + C = 380

3C - 70 = 380

3C = 450

C=150

A = C - 50 = 150 - 50 = 100

B = C - 20 = 150 - 20 = 130

6 0

3 years ago

Read 2 more answers

Please help! Answers: 15 70 55 105

yulyashka [42]

Equation:
$3x + 10 = (180 - (5x - 5) ) \div 2 \\ ... \\ x = 15 \\$
3x+10 = 45+10 = 55
The answer is 55 because this is a isosceles triangle.

7 0

3 years ago

Can someone help please ? Thanks I’m advance

Pani-rosa [81]

Answer:

f(-3) = 16

Step-by-step explanation:

Given:

f(x) = 2x² + x + 1

Required:

f(-3)

Solution:

Substitute x = -3 into f(x) = 2x² + x + 1

f(-3) = 2(-3)² + (-3) + 1

f(-3) = 2*9 - 3 + 1

f(-3) = 18 - 3 + 1

f(-3) = 16

6 0

3 years ago

What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$