In the diagram below, AB is parallel to CD . What is the value of y?

valina [46]

Your answer is 104 square inches because you have to find the area of the top rectangle by multiplying 12 x 7, then find the area of the bottom square by multiplying 5 x 4, and then add both answers together which equals 104 square centimeters ;)

7 0

3 years ago

How many hundreds are all in the number of 44,813 ??

Iteru [2.4K]

Answer: Well, I thought about it and I was like, Well 813 right? Then I realized the question and was like: Nvm lol (Hope you find the answer!)

3 0

3 years ago

1. Howard's CD House sells new CDs for $15 each and used CDs for $6 each. Bre'anna bought 51 CDs and spent a

Yanka [14]

The numbers of new CDs is 30 and the old CDs is 21.

To solve this problem, we have to write a system of equations in which we would know the numbers of each types of CD she bought.

<h3>System of Equations</h3>

This is used to solve a series or complex of word problems in which we can represent in a mathematical statements;

Let n represents numbers of new CDs
Let u represents numbers of old CDs

The equations can be represented as

$n + u = 51 ...equation(i)\\15n + 6u = 576 ... equation(ii)$

Let's take equation (i)

Making n the subject of formula

$n + u = 51\\n = 51 - u...equation(iii)$

we can put equation (iii) into equation (ii)

$15n + 6u =576\\n = 51 - u\\15(51 - u) + 6u = 576\\765-15u + 6u = 576\\collect like terms\\765-576=15u - 6u\\189=9u\\9u/9 = 189/9\\u = 21$

Let's put the value of u into equation (i)

$n + u = 51\\u = 21\\n + 21 = 51\\n = 51 - 21\\n = 30$

From the calculations above, the numbers of new CDs is 30 and the old CDs is 21.

Learn more on system of equations here;

brainly.com/question/13729904

4 0

3 years ago

A rectangular poster is to contain 882 square inches of print. The margins at the top and bottom of the poster are to be 2 inche

Zinaida [17]

Answer:

L = 23 in

h = 46 in

Step-by-step explanation:

Let call " x " and " y " dimensions of the print area of the poster then:

882 = x*y and y = 882/x

We also know that dimensions of the poster is:

L = x + 2 in and h = y + 4 in

Therefore area of the poster is:

A(p) = ( x + 2 ) * ( y + 4 ) And area as function of x is:

A(x) = ( x + 2 ) * ( 882/x + 4 )

A(x) = 882 + 4*x + 1764 /x + 8

Taking derivatives on both sides of the equation we have:

A´(x) = 4 - 1764/x²

A´(x) = 0 ⇒ 4 - 1764/x² = 0 ⇒ 4*x² - 1764 = 0

x² = 1764 / 4

x² = 441

x = 21 in and y = 882/x y = 42

The second derivative A´´(x) is > 0 ( the second term changes its sign to +) there is a minimum for the function at the point x = 21

As x and y are dimensions of the printing area of the poster, dimensions of the poster are

L = x + 2 = 21 + 2 = 23 in and

h = y + 4 = 42 + 4 = 46 in

4 0

4 years ago

Write expression as a sine or cosine of an angle.<br>cos 94° cos 18° + sin 94° sin 18°

MArishka [77]

<h3>Answer: cos(76)</h3>

=========================================================

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

----------

We can verify this by use of a calculator. Make sure your calculator is in degree mode.

cos(94)cos(18) + sin(94)sin(18) = 0.24192
cos(76) = 0.24192

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

6 0

3 years ago