Write an equation and solve for the variable indicated?

A rectangular cake has a length of 25in, a width of 18in, and a height of 4in. Each container of frosting can cover 200 square i

OverLord2011 [107]

Answer:

9 containers of frosting

Step-by-step explanation:

25 x 18 x 4, gives you 1800 square inches, divide 1800 by 200 and you get 9

7 0

3 years ago

I need help with this

Murrr4er [49]

Step-by-step explanation:

i like your way in math but there all = so good luck even tho you are surching those s up

7 0

3 years ago

Find a decomposition of a=⟨−5,−1,1⟩ into a vector c parallel to b=⟨−6,0,6⟩ and a vector d perpendicular to b such that c+d=a.

dezoksy [38]

The projection of vector A parallel to vector B is $\langle -3, 0, 3\rangle$ and the projection of vector A perpendicular to vector B is $\langle -2, -1, -2\rangle$ .

In this question, we need to determine all projections of a vector with respect to another vector. In this case, the projection of vector A parallel to vector B is defined by this formula:

$\vec a_{\parallel , \vec b} = \frac{\vec a \,\bullet\,\vec b}{\|\vec b\|^{2}}\cdot \vec b$ (1)

Where $\|\vec b\|$ is the norm of vector B.

And the projection of vector A perpendicular to vector B is:

$\vec a_{\perp, \vec b} = \vec a - \vec a_{\parallel, \vec b}$ (2)

If we know that $a = \langle -5, -1, 1 \rangle$ and $\vec b = \langle -6, 0, 6 \rangle$ , then the projections are now calculated:

$\vec a_{\parallel, \vec b} = \frac{(-5)\cdot (-6)+(-1)\cdot (0)+(1)\cdot (6)}{(-6)^{2}+0^{2}+6^{2}} \cdot \langle -6, 0, 6 \rangle$

$\vec a_{\parallel, \vec b} = \frac{1}{2}\cdot \langle -6, 0, 6 \rangle$

$\vec a_{\parallel, \vec b} = \langle -3, 0, 3\rangle$

$\vec a_{\perp, \vec b} = \langle -5, -1, 1 \rangle - \langle -3, 0, 3 \rangle$

$\vec a_{\perp, \vec b} = \langle -2, -1, -2\rangle$

The projection of vector A parallel to vector B is $\langle -3, 0, 3\rangle$ and the projection of vector A perpendicular to vector B is $\langle -2, -1, -2\rangle$ .

We kindly invite to check this question on projection of vectors: brainly.com/question/24160729

7 0

3 years ago

What is the volume of the right prism? _____ ft3

lana [24]

The volume of a triangular prism can be found by multiplying the base times the height. I would be glad to answer the question if you gave me some reference numbers to plug into the formula to get the volume for you.

8 0

4 years ago

If a dog weighs 240 ounces, how many grams does the dog weigh?

agasfer [191]

Answer: If the dog weighed 240 ounces it would weigh 6803.89 grams

Step-by-step explanation:

8 0

3 years ago