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RSB [31]
3 years ago
8

Which formula would be used to find the measure of angle 1?

Mathematics
1 answer:
Stels [109]3 years ago
7 0
What’s angle 1? U need to post a pic
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Triangle ABC has vertices A (1,1), B (3,2) and C (0,-2), It is dilated by a scale factor of 1/2 about the origin to create trian
Ghella [55]

Answer:

The length is 2.5 units

Step-by-step explanation:

Before we find the value of the length of the side, we need the measure of the coordinates after dilation

B’ = 1/2 B = 1/2(3,2) = (1.5, 1)

C’ = 1/2 C = 1/2( 0,-2) = (0,-1)

The measure of the length is the distance between the two points

Mathematically, that would be;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(0-1.5)^2 + (-1-1)^2

D = √(2.25 + 4)

D = √6.25

D = 2.5 units

8 0
2 years ago
A page should have perimeter of 42 inches. The printing area within the page
Tamiku [17]

Overall  dimensions of the page in order to maximize the printing area is  page should be 11 inches wide and 10 inches long .

<u>Step-by-step explanation:</u>

We have , A page should have perimeter of 42 inches. The printing area within the page  would be determined by top and bottom margins of 1 inch from each side, and the  left and right margins of 1.5 inches from each side. let's assume  width of the page be x inches  and its length be y inches So,

Perimeter = 42 inches

⇒ 2(x+y) = 42\\x+y = 21\\y = 21-x

width of printed area = x-3  & length of printed area = y-2:

area = length(width)

area = (x-3)(y-2)\\area = (x-3)(21-x-2)\\area = (x-3)(19-x)\\area = -x^{2} + 22x -57

Let's find \frac{d(area)}{dx}:

\frac{d(area)}{dx} = \frac{d(-x^{2}+22x-57)}{dx} = -2x +22 , for area to be maximum \frac{d(area)}{dx}= 0

⇒ -2x+22 = 0\\2x =22\\x=11 inches

And ,

y = 21-x\\y = 21-11\\y = 10 inches

∴ Overall  dimensions of the page in order to maximize the printing area is  page should be 11 inches wide and 10 inches long .

7 0
3 years ago
Which are diagonals through the interior of the cube?<br> Select all the apply
Gennadij [26K]

Answer:

AH

Step-by-step explanation:

From the figure we can see a cube ABCDEFGH.

In a cube thee are 4 interior diagonals

To find the diagonal of the cube

AH, BG, CF   and DE

There are 4 interior diagonals.

The given options contain only one interior diagonal.

Therefore the correct answer is first option. AH

5 0
3 years ago
Somebody please help !
vovangra [49]

Answer:

Translation

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Humma has 3 apples. She slices each apple into eighths. How many 1/4 apple slices does she have?
nlexa [21]
8 1/4 appe slices is the answer
3 0
3 years ago
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