All categories

3 years ago

You can also explain what makes it different by representing each width and height pair with a ratio.

Mathematics

2 answers:

Serga [27]3 years ago

7 0

Answer:

Ratios are Equivalent

Step-by-step explanation:

In first one there are 3 cups of peanuts mixed with 2 cups of raisins.

Ratio of peanut to raisins is 3:2 or 1.5

For second trail mix there is 4.5 cup of peanuts mixed with 3 cups of raisins

Ratio of peanuts to raisins is 4.5:3 or 1.5

They are both 1.5

salantis [7]3 years ago

7 0

Rations are equivalent

You might be interested in

The equation of the tangent plane to the ellipsoid x2/a2 + y2/b2 + z2/c2 = 1 at the point (x0, y0, z0) can be written as xx0 a2

svetlana [45]

Answer:

The equation of tangent plane to the hyperboloid

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=1$ .

Step-by-step explanation:

Given

The equation of ellipsoid

$\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1$

The equation of tangent plane at the point $\left(x_0,y_0,z_0\right)$

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}+\frac{zz_0}{c^2}=1$ ( Given)

The equation of hyperboloid

$\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}{c^2}=1$

F(x,y,z)= $\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}[c^2}$

$F_x=\frac{2x}{a^2},F_y=\frac{2y}{b^2},F_z=-\frac{2z}{c^2}$

$(F_x,F_y,F_z)(x_0,y_0,z_0)=\left(\frac{2x_0}{a^2},\frac{2y_0}{b^2},-\frac{2z_0}{c^2}\right)$

The equation of tangent plane at point $\left(x_0,y_0,z_0\right)$

$\frac{2x_0}{a^2}(x-x_0)+\frac{2y_0}{b^2}(y-y_0)-\farc{2z_0}{c^2}(z-z_0)=0$

The equation of tangent plane to the hyperboloid

$\frac{2xx_0}{a^2}+\frac{2yy_0}{b^2}-\frac{2zz_0}{c^2}-2\left(\frac{x_0^2}{a^2}+\frac{y_0^2}{b^2}-\frac{z_0^2}{c^2}\right)=0$

The equation of tangent plane

$2\left(\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}\right)=2$

Hence, the required equation of tangent plane to the hyperboloid

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=0$

7 0

3 years ago

A coin is biased to show 39% heads and 61% tails. The coin is tossed twice. What is the probability that the coin turns up tails

julia-pushkina [17]

I'm pretty sure that this is a trick question, the answer is 61%.

7 0

3 years ago

Can someone solve this

zysi [14]

You know how Soh Cah Toa applies to right triangles; you can assign the adjacent side = 4 and hypotenuse = 7

CosФ = (adjacent) / (hypotenuse)

Then with the Pythagorean theorem
4² + b² = 7²
16 + b² = 49
b² = 49 - 16
b² = 33
b = √(33)

So "b" is the opposite side.

SinФ = (opposite) / (hypotenuse) = √(33)/7
TanФ = (opposite) / (adjacent) = √(33)/4

3 0

3 years ago

Identify the value of x that makes each pair of ratios equivalent

Monica [59]

I would be B. because from 4 to 20 is times 5 so you just divide 45 by 5 and you get 9.
HOPE THIS HELPS!!
FEEL FREE TO FOLLOW ME IF YOU NEED ANYMORE HELP IN THE FUTURE

8 0

3 years ago

Given that 3 x : 10 = 5 : 2 Calculate the value of x .

borishaifa [10]

$\tt{ 3x:10=5:2 }$ ⠀