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4 years ago

9

Volume of 750 between 900 cubic

1 answer:

aniked [119]4 years ago

5 0

Its would be 150 because, u would subtract the two numbers and that's how u get ur answer

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Three fourths of the flowers in a floral arrangement is red roses. Write the part of the flowers that are red roses as a decimal

makvit [3.9K]

Answer:

decimal: 0.75 percent: 75%

8 0

3 years ago

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 $V_1$

$V_1 =$

$V_1 =$

$V_1 =$

$V_1$ 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

A store owner decides to mark up all items by 30%. What is the selling price of an item that originally cost $10? Practice Use t

photoshop1234 [79]

I think 13 dollars....... :) hope it’s right

7 0

3 years ago

Evaluate when x = 3, y = 2, and z = 4:

Lelu [443]

$\huge\text{Hey there!}$

$\large\text{If x = 3, y = 2, and z = 4 then substitute it in the given equation!}$

$\large\text{Equation: 3 (2) (4)}\\\large\text{3 (2) (4)}\\\large\text{3(2) = 6}\\\large\text{(6)(4) = \bf{ANSWER}}\\\large\text{= \bf{\underline{24}}}$

$\boxed{\boxed{\large\text{Answer: \bf{24}}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

3 0

3 years ago

Read 2 more answers

The perimeters of the triangles shown are equal. Find the side lengths of each triangle.

vredina [299]

Answer:

x = 14

AB = 37

BC = 36

AC = 28

PQ = 28

QR = 28

PR = 45

Step-by-step explanation:

we can add together the sides of ΔABC and set it equal to the sum of the sides of ΔPQR

2x+9 + 2x+8 + 2x = 2x + 2x + 3x+3

combine 'like terms':

6x + 17 = 7x + 3

subtract 6x from each side to get:

17 = x + 3

subtract 3 from each side to get:

14 = x

CHECK:

Does 6(14) + 17 equal 7(14) + 3?

84+17 = 98+3

101 = 101 checks out correctly

8 0

2 years ago