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natka813 [3]
3 years ago
15

What are the areas of each smaller rectangle and the large rectangle?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0

Answer:

Area of part 1: 3 * 5\sqrt{2} = 15\sqrt{2}

Area of part 2: 3\sqrt{2} * 5\sqrt{2}=30

Area of entire rectangle: 30 + 15\sqrt{2}

Step-by-step explanation:

The area of a rectangle can be found by using formula : length * width.

The area of part 1 can be simplified to this:

3 * 5\sqrt{2} = 15\sqrt{2}

Area of part 2:

3\sqrt{2} * 5\sqrt{2}=30

The area of the entire rectangle can simply be added from part 1 and part 2.

For area 2, remember multiplying the square root of 2 twice nullifies the square root. So it becomes 15 * 2, which is equal to 30.

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Let u= <4,3>. Find the unit vector in the direction of u, and write your answer in component form.
aksik [14]
Take the vector u = <ux, uy> = <4, 3>.

Find the magnitude of u:

||u|| = sqrt[ (ux)^2 + (uy)^2]

||u|| = sqrt[ 4^2 + 3^2 ]

||u|| = sqrt[ 16 + 9 ]

||u|| = sqrt[ 25 ]

||u|| = 5

To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is

u/||u||

u * (1/||u||)

= <4, 3> * (1/5)

= <4/5, 3/5>

and there it is.

Writing it in component form:

= (4/5) * i + (3/5) * j

I hope this helps. =)
3 0
3 years ago
An orchard sells 4 pounds of apples for one dollar how much would 5 pounds of apples cost
Mrac [35]

Answer:

1.25

Step-by-step explanation:4 pounds equal to 1 dollar so that means that each pound equals to 0.25 cents. SO, now you multiply 0.25 x 5= 1.25

5 0
3 years ago
Find the range of the data set : -5, -6, -1, -3, 6, 10
Furkat [3]
<h3>Answer:  16</h3>

Work Shown:

range = max - min = 10 - (-6) = 10 + 6 = 16

The range is the distance from the smallest item to the largest. Use of a number line might help sort out the values to see which is the smallest and largest.

5 0
2 years ago
???? thank you so much
Y_Kistochka [10]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
The length of a rectangle is 5ft longer than twice the width if the perimeter is 58 ft find the length and width of the rectangl
Travka [436]
----------------------------------
Define x :
----------------------------------
Let the width be x.
Width = x
Length = 2x + 5                // Length is 5ft longer than twice the width

----------------------------------
Formula for Perimeter :
----------------------------------
Perimeter = 2 (Length + Width)

----------------------------------
Find Width :
----------------------------------
58 = 2 ( 2x + 5 + x)         // Substitute Length and Width into formula
58 = 2 (3x + 5)                // Combine like terms
58 = 6x + 10                    // Apply distributive property
48 = 6x                            // Take away 10 from both sides
6x = 48                            // Switch sides. Make x the subject
x = 8                                // Divide by 6 on both sides

----------------------------------
Find Length and Width :
----------------------------------
Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft

--------------------------------------------------------------------
Answer: The length is 21 ft and the width is 8 ft.
--------------------------------------------------------------------

3 0
3 years ago
Read 2 more answers
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