if the probaility that it will rain tomorrow is 1/5 what is the probaility that it will not rain tomorrow

9514 1404 393

Answer:

Step-by-step explanation:

The tangent of the angle can be found using the identity for the tangent of the difference of angles.

  tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))

The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.

  tan(α) = -2/3

  tan(β) = 4/7

  tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))

  = (-14-12)/(21 -8) = -26/13 = -2

Then the magnitude of the angle between the vectors is ...

  arctan(2) ≈ 63.43°

Answer: 16:24

Step-by-step explanation:

add the ratio so 2+3=5

Divide from 40 so 40/5=8

multiply by individual ratios

2*8:3*8= 16:24

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

Answer:

1

Step-by-step explanation:

(10+x)/3 =(4+x)/1

⇒(10+x)×1=(4+x)×3

10+x=12+3x

⇒-2x-2<0

⇒2x>-2

⇒x>-

2

2

⇒x>-1

this is hard to understand but basically the answer should be 1

Answer:

(10,-1)

Step-by-step explanation:

Answer:

10,-1

Step-by-step explanation:

when going right it adds a positive number to the x axis

when going left it adds a negative number to the x axis (same as subtracting)

when going up it adds a positive number to the y axis

when going down it adds a negative number to the y axis (same as subtracting)

It looks like you have

tan²(x) / (1 - tan(x)) + cot(x) / (1 - tan(x)) = cot(x) + tan(x) + 1

but this is not an identity.

Take for instance x = 3π/4. Then

tan(3π/4) = -1

cot(3π/4) = -1

so that

tan²(x) / (1 - tan(x)) + cot(x) / (1 - tan(x)) = 0

while

cot(x) + tan(x) + 1 = -1

and of course 0 ≠ -1.

Answer:

The answer is 17.5

Hope this helps

Answer:

Number 4..

.....,........,

Answer:

10.1

Step-by-step explanation:

Step-by-step explanation:

it goes by this formula

[tex]a = \frac{1}{2} bh \\ \\ \\ a = \frac{1}{2} 6 \times 4.1 = 12.3[/tex]

To find:

Any two quadratic equations​.

Solution:

The general form of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

Where, a,b and c are real number and a is non zero.

We know that a,b,c can take any values but a cannot be 0.

For a=1, b=1,c=1, we get

[tex]1x^2+1x+1=0[/tex]

[tex]x^2+x+1=0[/tex]

One quadratic equation is [tex]x^2+x+1=0[/tex].

For a=3,b=-1,c=5, we get

[tex]3x^2+(-1)x+5=0[/tex]

[tex]3x^2-x+5=0[/tex]

Therefore, the two quadratic equations are [tex]x^2+x+1=0[/tex] and [tex]3x^2-x+5=0[/tex].

Answer:

[tex]x=0.61485921[/tex]

Step-by-step explanation:

The given equation is in exponential form:

[tex]6^{4x} =82[/tex]

To find [tex]x[/tex] we need to write it in logarithmic form:

[tex]b^{a} =n[/tex] ⇒ [tex]log_{b} n=a[/tex]

[tex]6^{4x} =82[/tex] ⇒ [tex]log_{ 6 } 82=4x[/tex]

           [tex]2.45943684 = 4x[/tex]

              [tex]\frac{2.45943684}{4} = x[/tex]

           [tex]0.61485921 =x[/tex]

To prove this, we can substitute the value into the given equation

             [tex]6^{4x} =82[/tex]

[tex]6^{4(0.61485921)} =82[/tex]

               [tex]82=82[/tex]

Therefore, the answer is [tex]x=0.61485921[/tex]

Answer:65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Hey There!

So where the given angles are is in a triangle called an isosceles triangle

In isosceles triangles to of the angles are congruent

The congruent angles are near the letters Q and R

we are given that angle 1 =50

so to find the missing angles we subtract 180 from 50 and divide by 2

180-50=130

130/2=65

so angle 2 = 65

Answer:

It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

Step-by-step explanation:

Answer:

AB = 7.81

m<A = 50.19

m<B = 39.8

m<C = 90

Step-by-step explanation:

Answer:

12:30

Step-by-step explanation:

Answer:

(7,0) ---> (x = 7) and (y = 0)

Step-by-step explanation:

2x – 9y = 14

x= -6y +7     <-- (Substitute for x to above equation)

---------------------------------------------------------------------------------------------------------

2(-6y +7)– 9y = 14

-12y + 14 - 9y = 14    <-- combine like terms

-21y + 14 = 14  

        -14 = -14   <-- inverse operation on both sides

      -21y = 0     <-- Divide

          y = 0  <--- Substitute for y to get x  ↓

-------------------------------------------------------------------------------------------------------

2x – 9y = 14

2x – 9(0) = 14     <-- Substituted y from above

          2x = 14     <-- Divide

            x = 7

Answer:

Step-by-step explanation:

The central angle is twice the inscribed angle (same arc).

The inscribed angle forms a supplementary angle with the missing one (opposite angles of the cyclic quadrilateral).

The missing angle is:

Answer:

D

Step-by-step explanation:

answer

600

Step-by-step explanation:

Step 1: If 82% of a number is 492, then what is 100% of that number? Setup the equation.

492/82%=Y/100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

82Y = 492 x 100

82Y = 49200

Y=49200100=600

I really hope this helped you in some way. sorry I took so long!! Good luck :)

Answer:

A

Step-by-step explanation:

Answer:

Discount- $62.25

Price after discount-$186.75

Step-by-step explanation:

25% of 249 is 62.25.

Therefore, 249-62.25=186.75

I'm not American so I don't know if I translated it right but I think it's

-3y+2u+2

if you just remove the parentheses

Answer:

34

Step-by-step explanation:

17.25/2 = 8.62500

8.62500/0.25 = 34 quarter coins,

117 - 34.5 = 83 pennies

Answer:

12÷3=4

4inches is 2/3 of a foot.

Answer:

16

Step-by-step explanation:

You can use the pythagorean theorem:

[tex]a^{2}+b^{2}=c^{2}[/tex], here seeing as we know already know two sides here as all sides are congruent with squares and there has to be right angles for it to be a square we can do so by cutting the square in half for the diagonal and to get a right triangle.  

And from there we just use it:

[tex]8\sqrt{2}^{2} + 8\sqrt{2}^{2} = c^{2}[/tex]

[tex]\sqrt{128}^{2} + \sqrt{128}^{2} = c^{2}[/tex]

[tex]128 + 128 = c^2[/tex]

[tex]256 = c^2[/tex]

[tex]\sqrt{c}^2 = \sqrt{256}[/tex]

[tex]c = 16[/tex]

Meaning that the diagonal is 16.  

Answer:

314 ft²

Step-by-step explanation:

(100 × pi) ft²

100 × 3.14 ft²

314 ft²

Answer:3(−4)(−3) This the answr can u solve my question maybe?