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3 years ago

What two numbers add up to 9 and multiply to -90?

1 answer:

3 0

You solve the equation : t^2 - 9t - 90 = 0 ;
Δ = ( - 9 )^2 - 4 * 1 * ( - 90 ) = 81 + 360 = 441 ;
t1 = ( 9 + $\sqrt{441}$ ) / 2 = 30 / 2 = 15 ;
t2 = ( 9 - $\sqrt{441}$ ) / 2 = -12 / 2 = - 6 ;

The numbers are 15 and - 6 ;

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X=2π/3

Marina86 [1]

Answer:

$cos{\frac{2\pi}{3}}=-\frac{1}{2}$ .

Reference angle is $\frac{\pi}{3}$

Step-by-step explanation:

Given the value of x. we have to find the correct value of cosx.

$x=\frac{2\pi}{3}$

Now, we have to find the exact value of $cos{\frac{2\pi}{3}}$

$cos{\frac{2\pi}{3}}=cos(\frac{\pi}{2}+\frac{\pi}{6})$

$=-sin(\frac{\pi}{6})$

$=-\frac{1}{2}$

Now, we have to find the reference angle of $x=\frac{2\pi}{3}$ .

Since the angle $x=\frac{2\pi}{3}$ lies in second quadrant, the reference angle formula is

Reference angle= $\pi-given angle$ .

= $\pi-\frac{2\pi}{3}=\frac{\pi}{3}$

3 0

2 years ago

Hallllp!!!! please!!!!!!! I will give brainliest!!!!

KonstantinChe [14]

A. Product of a constant factor 12 and two-term factor x+3

8 0

2 years ago

The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic mete

Black_prince [1.1K]

Answer:

Length = 12

Width = 8

Height = 4

Step-by-step explanation:

Let length of box = l

Width = 2/3 * l

Height = 1/3 * l

Volume of the box = 384 ft³

Volume = Length * width * height

Volume of box = l * 2/3 l * 1/3 l

384 = 2l³ / 9

384 * 9 = 2l³

3456 = 2l³

l³ = 3456 / 2

l³ = 1728

Take the Cube root of 1728

l = 12

Length = 12

Width = 2/3 * 12 = 8

Height = 1/3 * 12 = 4

5 0

2 years ago

What is the measure of \angle 1?, What is the measure of \angle 2?, What is the measure of \angle 4? and What is the measure of

mote1985 [20]

Answer:

<1 and <6 = 98

<2 and <3 = 139

<4 and <5 = 123

Step-by-step explanation:

82 + 9x - 6 + 6x - 1 = 180

15x + 75 = 180

15x = 105

x = 7

<1:

x + 82 = 180

x = 98

<2:

6x - 1 = 6(7) - 1 = 41

x + 41 = 180

x = 139

<3 = <2 because of vertical angle thm so <3 = 139

<5:

9x - 6 = 9(7) - 6 = 57

x + 57 = 180

x = 123

<4 = 5 because of vertical angle thm

<6 = <1 because of vertical angle thm

8 0

2 years ago

Find the ratio of shaded portions to unshaded portions in fig 8.1

masha68 [24]

15:33

(Mark me the brainliest)

4 0

2 years ago