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4 years ago

What is 26.895 rounded to (2dp decimal points)

Mathematics

2 answers:

matrenka [14]4 years ago

8 0

Your answer is 26.90

8090 [49]4 years ago

5 0

26.90 is the answer. hope this helps!

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Use the distance formula to find the area of the rectangle

nasty-shy [4]

Answer:

Therefore Area of Rectangle is 50 unit².

Step-by-step explanation:

Given:

Let the vertices of a Rectangle be

A ( -1 , 7)

B ( 4 , -3)

C ( 0 , -5)

D ( -5 ,5)

To Find:

Area of Rectangle ABCD = ?

Solution:

First we will find the Length and Width of Rectangle by Distance Formula ,

$l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}$

Substituting the values we get

$l(AB) = \sqrt{((4-(-1))^{2}+(-3-7)^{2} )}$

$l(AB) = \sqrt{((5)^{2}+(-10)^{2} )}\\l(AB)=\sqrt{125}=5\sqrt{5}\ unit$

Similarly for BC we will have,

$l(BC) = \sqrt{((0-4)^{2}+(-5-(-3))^{2} )}\\l(BC)=\sqrt{20}=2\sqrt{5}\ unit$

Now

$Length=AB =5\sqrt{5}\ unit\\Width=BC=2\sqrt{5}\ unit$

Now Area of Rectangle is given by

$\textrm{Area of Rectangle}=Length\times Width$

Substituting the values we get

$\textrm{Area of Rectangle ABCD}=5\sqrt{5}\times 2\sqrt{5}=10\times 5=50\ unit^{2}$

Therefore Area of Rectangle is 50 unit².

4 0

3 years ago

David goes into a candy store with $5.00. He buys 9 peppermints for $0.15 each, and some sour candies. Each sour candy costs $0.

klemol [59]

Answer:

Step-by-step explanation:

9*0.15=1.35

5-1.35=3.65

3.65/0.25=14.6=14 sour candies

6 0

3 years ago

Jina wanted to study how the area of a rectangle changes with the length if it’s width is fixed. She computed the areas of sever

olganol [36]

Answer:

The domain and the range of the function are, respectively:

$Dom\{f\} = [0\,m,5\,m]$

$Ran\{f\} = [0\,m^{2}, 10\,m^{2}]$

Step-by-step explanation:

Jina represented a function by a graphic approach, where the length, measured in meters, is the domain of the function, whereas the area, measured in square meters, is its range.

$Dom\{f\} = [0\,m,5\,m]$

$Ran\{f\} = [0\,m^{2}, 10\,m^{2}]$

8 0

3 years ago

What is 2(9x-1)+7(x+6)=-60

Harman [31]

2(9x-1)+7(x+6)=-60
Reorder the terms in parentheses
+(+18x-2)+7*(x+6)=-60
Remove unnecessary parentheses
+18x-2+7*(+x+6)=-60
Reorder the terms in parentheses
+18x-2+(+7x+42)=-60
Remove unnecessary parentheses
+18x-2+7x+42=-60
We move all terms containing x to the left and all other terms to the right
+18x+7x=-60+2-42
We simplify left and right side of the equation
+25x=-100
We divide both sides of the equation by 25 to get x
x=-100/25
x=-4

6 0

4 years ago

What is the slope of the line through (-9, -6) and (3,-9)

kirza4 [7]

The slope would be -0.25

6 0

3 years ago