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4 years ago

Find an angle between 0 and 2π that is coterminal with -3π /10

Mathematics

1 answer:

Zinaida [17]4 years ago

6 0

Answer:

17π/10

Step-by-step explanation:

To find a co-terminal angle in a specific range, add or subtract multiples of 2π until you have an angle in the desired range. Here, you can add 2π.

-3π/10 +20π/10 = 17π/10 . . . . angle co-terminal with -3π/10

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Factor completely, the expression: 2x^3-2x^2-12x

muminat

$2x^3-2x^2-12x=2x(x^2-x-6)=(*)\\\\------------------------------\\x^2-x-6\\\\a=1;\ b=-1;\ c=-6\\\\\Delta=(-1)^2-4\cdot1\cdot(-6)=1+24=25\\\\\sqrt\Delta=\sqrt{25}=5\\\\x_1=\frac{1-5}{2\cdot1}=\frac{-4}{2}=-2;\ x_2=\frac{1+5}{2\cdot1}=\frac{6}{2}=3\\\\x^2-x-6=(x+2)(x-3)\\\\------------------------------\\\\(*)=2x(x+2)(x-3)$

8 0

3 years ago

Find the area of circle having circumference 8π^2.

Dmitriy789 [7]

Answer:

496.6

Step-by-step explanation:

circumference of circle=8pie^2

2*pie*r=8*pie^2

2*r=8*pie

2r=8*22/7

r=176/7÷2

r=12.57

Area of circle=pie*r^2

=22/7*12.57^2

=22/7*158

=496.6

6 0

3 years ago

For the function y=-2x^2+4x+1, what are the coordinates of the vertex? Is it a maximum or minimum point? Hint: use the vertex/ax

masya89 [10]

Step-by-step explanation:

y = -2x² + 4x + 1

Complete the square.

y = -2 (x² − 2x) + 1

y = -2 (x² − 2x + 1) + 1 − (-2)(1)

y = -2 (x − 1)² + 3

The vertex is (1, 3). The leading coefficient is negative, so the vertex is a maximum.

Graph: desmos.com/calculator/qsih3rd8ev

8 0

4 years ago

Mrs johnson grows herbs in square plots Her basil plot measures. 5. 9 yd on each side. A. Find the total area of the basil plot.

UNO [17]

Answer:

Area = 34. 81 yd^2

Perimeter = 86.6 feets

Step-by-step explanation:

Given the following :

Shape of Mrs. Johnson's plot = square

All sides of a square are of equal length

Measure of each side = 5.9 yd

A.) Area of plot

Area of plot = Area of a square

Area of a square(A) = a^2

Where a = side length

A = 5.9^2

A = 34.81 yd^2

B) Perimeter of Basil plot = Perimeter of a square

Converting yard to feet

1 yard = 3feets

Therefore,

5.9 yards = (3 * 5.9) = 17.7 feets

Fence is 2ft from the garden on each side,

Length of fence on each side = (2 + 17.7 + 2) Feets = 21.7 Feets

Perimeter of a square (P) = 4a

Where a = side length

P = 4 × 21.7

P = 86.6 feets

6 0

3 years ago

Help !!!!!!!!!!!!!!!

Ostrovityanka [42]

Answer:

x = 29

Step-by-step explanation:

Follow the directions: substitute 13 for y in the first equation.

x + 13 = 42

Subtract 13 from both sides of the equation.

x +13 -13 = 42 -13

x = 29

4 0

3 years ago