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3 years ago

Help me please, thank you

Mathematics

2 answers:

krok68 [10]3 years ago

8 0

It is Probably 2/10 I think

devlian [24]3 years ago

7 0

Answer:

your chance is 3/10

Step-by-step explanation:

add how many marble then count how many pink and make a fraction

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Find an equation of the plane with the given characteristics. The plane passes through the points (4, 3, 1) and (4, 1, -7) and i

Minchanka [31]

Answer:

$3x - 4y + z = 1$

Step-by-step explanation:

Given

$Point\ 1 = (4,3,1)$

$Point\ 2 = (4,1,-7)$

Perpendicular to $8x + 7y + 4z = 18$

Required

Determine the plane equation

The general equation of a plane is:

$a(x-x_1) + b(y - y_1) + c(z-z_1) = 0$

For $n =$

$(x_1,y_1,z_1) = (4,3,1)$

$(x_2,y_2,z_2) = (4,1,-7)$

First, we need to determine parallel vector $V_1$

$V_1 =$

$V_1$ is parallel to the required plane

From the question, the required plane is perpendicular to $8x + 7y + 4z = 18$

Next, we determine vector $V_2$

$V_2 =$

This implies that the required plane is parallel to $V_2$

Hence: $V_1$ and $V_2$ are parallel.

So, we can calculate the cross product $V_1 * V_2$

$V_1 =$

$V_2 =$

$n = V_1 * V_2$

$V_1 * V_2 =\left[\begin{array}{ccc}i&j&k\\0&2&8\\8&7&4\end{array}\right]$

The product is always of the form + - +

So:

$V_1 * V_2 = i\left[\begin{array}{cc}2&8\\7&4\end{array}\right]$ $-j\left[\begin{array}{cc}0&8\\8&4\end{array}\right]$ $+k\left[\begin{array}{cc}0&2\\8&7\end{array}\right]$

Calculate the product

$V_1 * V_2 = i(2*4- 8*7) - j(0*4- 8*8) + k(0*7 - 2 * 8)$

$V_1 * V_2 = i(8- 56) - j(0- 64) + k(0 - 16)$

$V_1 * V_2 = i(-48) - j(- 64) + k(- 16)$

$V_1 * V_2 = -48i +64j - 16k$

So, the resulting vector, n is:

$n =$

Recall that:

$n =$

By comparison:

$a = -48$ $b = 64$ $c = -16$

Substitute these values in $a(x-x_1) + b(y - y_1) + c(z-z_1) = 0$

$-48(x-x_1) + 64(y - y_1) -16(z-z_1) =0$

Recall that: $(x_1,y_1,z_1) = (4,3,1)$

So, we have:

$-48(x-4) + 64(y - 3) -16(z-1) =0$

$-48x + 192 + 64y -192 - 16z +16 = 0$

Collect Like Terms

$-48x + 64y - 16z = 0 - 192 + 192 - 16$

$-48x + 64y - 16z = -16$

Divide through by -16

$3x - 4y + z = 1$

<em>Hence, the equation of the plane is</em> $3x - 4y + z = 1$ <em></em>

4 0

3 years ago

The approximate distance of the moon from Earth is 4 x 105 km and the average approximate distance from the Earth to Venus is 4

Otrada [13]

Wouldn’t it be 8 km farther bc earth to Venus is 420 km and earth to moon is 428 km. 428-420= 8

7 0

4 years ago

The two triangles shown in the figure are similar. Find the distance, d, across Coyote Ravine.

Brilliant_brown [7]

We can see that both triangles are right angle triangle as per information given into picture. So we will prove that they are similar then use properties of similar triangle to find the value of d.

In triangle STV and triangle XWV:

∠STV = ∠XWV { both are equal to 90 degree}

∠TVS = ∠WVX { vertically opposite angles are equal}

Hence by AA (Angle Angle) similarity postulate of the triangles, It is proved that triangle STV and triangle XWV are similar.

We know that ratio of corresponding sides of similar triangles are equal so we can write:

$\frac{ST}{XW}=\frac{TV}{WV}$

$\frac{350}{d}=\frac{400}{180}$

350*180=400d

63000=400d

divide both side by 400

157.5=d

Hence final answer is d=157.5 m.

6 0

3 years ago

The formula used to find the length of a line segment in space.

Zigmanuir [339]

It's the same formula as the one used on Earth. It is based on the Pythagorean theorem.

length = √((∆x)^2 +(∆y)^2 +(∆z)^2)
.. where ∆x, ∆y, ∆z are the differences between the end-point coordinates in the x-, y-, and z-directions, respectively.

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4 years ago

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What is the answer for number seven?

marin [14]

260/500= 26/50= 13/25 is the answer to the question

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4 years ago

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Help me please, thank you​

Help me please, thank you