How do I do A and B? Please tell me step by step! Thanks :)

Mathematics

1 answer:

sergeinik [125]3 years ago

4 0

Formula

P = 2L + 2W

Givens

P = 106

L = 29

W = ????

Solve

106 = 2* 19 + 2(W)

106 = 58 + 2W Subtract 58

106 - 58 = 2W

48 = 2*W Divide by 2

48/2 = W

W = 24 <<<< Answer

You might be interested in

At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not

Nikitich [7]

If $f(x, y, z) = c$ represent a family of surfaces for different values of the constant $c$ . The gradient of the function $f$ defined as $\nabla f$ is a vector normal to the surface $f(x, y, z) = c$ .

Given the paraboloid

$y = x^2 + z^2$ .

We can rewrite it as a scalar value function f as follows:

$f(x,y,z)=x^2-y+z^2=0$

The normal to the paraboloid at any point is given by:

$\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\ \\ =2xi-j+2zk$

Also, the normal to the given plane $3x + 2y + 7z = 2$ is given by:

$3i+2j+7k$

Equating the two normal vectors, we have:

$2x=3\Rightarrow x= \frac{3}{2} \\ \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}$

Since, -1 = 2 is not possible, therefore there exist no such point on the paraboloid $y = x^2 + z^2$ such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2.

4 0

4 years ago

Find the probability of drawing a king from a standard deck of cards and then drawing a queen after the first card is replaced i

olga nikolaevna [1]

Answer:

1/169

Step-by-step explanation:

In a standard deck of cards, there are 4 kings and 4 queens, and there is a total of 52 cards. Probability is defined by the formula the number of desirable outcomes over the total outcomes. In the first draw, we have 52 total outcomes and 4 desirable (the 4 kings) that equal the fraction 4 / 52 or 1/13. We can do the same to find the probability of picking a queen next with replacement. That would equal 1/13 as well. The two events are independent because you are drawing the cards with replacement. Using the probability of independent events, the product of the probabilities at each stage is the answer: 1/13 * 1/13 = 1/169

8 0

3 years ago

Solve the following system of equations.

Ronch [10]

The answer is A. I plugged it into a TI-83 calculator. If you need to know how I did that I will be happy to help

6 0

4 years ago

Read 2 more answers

Does the following table show a proportional relationship between the variables g and h? g 3 6 9

Rus_ich [418]

Yes, H is the first three numbers multiplied by themselves

8 0