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3 years ago

What two numbers multiply to get -27 and add to 6

Mathematics

1 answer:

andriy [413]3 years ago

4 0

So in this u will have a negative and a positive so it will be (x-3)(x+9)

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A circle with radius 3 has a sector with a central angle of 1/9 pi radians

Art [367]

The area of sector is 1.57 m²

Explanation:

Given:

Radius, r = 3 m

Central angle of a sector = 1/9π radians

Area of sector, A = ?

We know:

Area of sector, A = $\frac{1}{2} r^2 \alpha$

where,

α is the central angle in radians

On substituting the value we get:

$A = \frac{1}{2} X(3)^2 X \frac{1}{9}X 3.14\\ \\A = 1.57 m^2$

Therefore, the area of sector is 1.57 m²

5 0

3 years ago

The highest temperature recorded in June in San Antonio was 109°F. The lowest temperature was 64°F. Which integer best represent

Ede4ka [16]

64 degrease faranheight is the lowest

5 0

3 years ago

Given α and β are Supplementary. Show the necessary steps.

user100 [1]

Answer:

$\alpha = 108\degree, \: \beta = 72\degree$

Step-by-step explanation:

α and β are Supplementary (given)

$\therefore \alpha + \beta = 180\degree.... (1)$

It is given that:

$\alpha= \frac{3}{2} \beta$

Plugging the value of α in equation (1), we find:

$\frac{3}{2} \beta + \beta = 180\degree$

$\therefore \frac{3+2}{2} \beta = 180\degree$

$\therefore \frac{5}{2} \beta = 180\degree$

$\therefore \beta = 180\degree\times \frac{2}{5}$

$\therefore \beta = 72\degree$

$\implies \alpha= \frac{3}{2} \times 72\degree= 108\degree$

So,

$\alpha = 108\degree, \: \beta = 72\degree$

7 0

2 years ago

Rewrite the following equation in standard form. y= -2/7x + 5/8

nikitadnepr [17]

The equation in standard form would be,
$\frac{2}{7} x + y = \frac{5}{8}$
All you have to do is move -2/7x to the other side.

Hope this helped
:D

8 0

3 years ago

locksmith larry charges $90 for a house cal plus $20 per hour. Locksmith Barry charges $50 for a house call plus $30 per house.

nadya68 [22]

Answer:

4 hours

Step-by-step explanation:

Equations :

Larry : y = 20x + 90

Barry : y = 30x + 50

Equate both to find the number of hours at which they both charge the same :

20x + 90 = 30x + 50
30x - 20x = 90 - 50
10x = 40
x = 4 hours

4 0

2 years ago