A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two even numbers?

Ahat [919]

Answer:

Step-by-step explanation:

Looking at the right angle triangle that contains x and y, we would apply trigonometric ratio to determine x an y. Taking 60 degrees as the reference angle,

Hypotenuse = y

Adjacent side = x

Opposite side = 36

Therefore,

Sin # = opposite side / hypotenuse

Sin 60 = 36/y

y = 36/Sin60 = 36/0.8660 = 41.57

Cos # = adjacent side/hypotenuse

Cos 60 = x/41.57

x = 41.57Cos 60 = 41.57 × 0.5 = 20.785

Sin45 = z/36

z = 36Sin45 = 36 × 0.7071 = 25.4556

7 0

3 years ago

The width of a rectangle is 1 units less than the length. The area of the rectangle is 72 units. What is the width, in units, of

nalin [4]

A = l × w. Substitute 72 into A and fill in the rest of the equation.

w = l - 1. Plug l - 1 into w

72 = l × (l - 1). Multiply l by (l - 1)

72 = l^2 - l. Subtract 72 from each side.

0 = l^2 - l - 72. Factor.

0 = (l + 8) (l - 9). Set each term equal to zero.

(l + 8) = 0. Subtract 8 from each side.

l = -8. Length cant be a negative number so let's try the other term.

(l - 9) = 0. Add 9 to each side.

l = 9. The length is 9.

Earlier we stated that the width is one less than the length, therefore, the width is 9 - 1 = 8.

The width is 8 units.

8 0

3 years ago

Prove the quotient rule. hint: you can do this directly, but it may be easier to find the derivative of 1/x and then use the cha

Bess [88]

The quotient rule is
d(u/v) = (u dv - v du) / u2

d(u/v) can written as
d( u (1/v) )

Using the product rule and chain rule
d( u (1/v)) = u d(1/v) + (1/v) du
= u (-1/v2) dv + (!/v) du
= (u dv - v du) / u2

5 0

3 years ago

The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the trian

Yuri [45]

Not sure, but the areas of a triangle is BH/2 so the dimensions should be 8 and 6 then 10.
8 x 6 = 48
48/2 = 24
Maybe that can help with the equation

4 0

3 years ago

Read 2 more answers

Someone help please!!!

Sati [7]

Answer:

y intercept = -5 

slope= 4 

equation: y = 4x - 5

EXPLANATION:

FIRST, you must write the formula for a linear graph , which is y = m(x) + c

where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.

SOLUTION:

y = mx + c

finding the gradient (m)

m = y2 - y1

x2 - x1

=( (-1)-(-5) ) ÷ (1-0)

= -1+5 ÷ 1

= 4

Therefore, the slope is 4

finding the y intercept.

y = 4x + c

in the above equation, I substituted the value I had for the slope or the gradient or m.

SO NOW IM ABOUT TO FIND C

TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.

I CHOOSE MY Y = 3 and X = 2

Now I'm going to substitute those values into the formula.

(3) = 4(2) + C

since it's an equation with one variable, no need for simultaneous equations.

3 = 8 + c

3-8 = c

-5 = c

 

SO THATS HOW WE ARRIVED AT -5 AND 4.

 WITH THAT, the equation of the line is y = 4x - 5.

I HOPE IT WAS HELPFUL.

4 0

3 years ago