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eduard
3 years ago
5

The diagram shows a square with side length 5cm.

Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

5sqrt2

Step-by-step explanation:

Using the pythagorean theorem, we get 5^2+5^2=c^2. C is the diagonal here. 25+25=c^2, c^2=50. c=sqrt50. Simplifying it, we get the diagonal as 5sqrt2.

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20 points!!!
UkoKoshka [18]
150. 

You can read the uppermost point on the graph which is pretty much that point. 
4 0
3 years ago
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1. Write an equation in point-slope form for the line through the given point with the given slope.
ElenaW [278]

Answer: y + 2 = \frac{-1}{2} ( x - 4 )

Step-by-step explanation:

The equation of a line in point - slope form is given as ;

y - y_{1} = m (x -  x_{1})

x_{1} = 4

y_{1} = -2

m = \frac{-1}{2}

Substitute the values into the equation , we have

y - (-2) = \frac{-1}{2}( x - 4 )

y + 2 = \frac{-1}{2} ( x - 4 )

Which could be written as :

y + 2 = y + 2 = \frac{-1}{2} x + 2

8 0
3 years ago
Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each of his customers buys 2 item
Vesnalui [34]
Joshua must have 7 more customers if they each buy 2 items.
3 0
3 years ago
Read 2 more answers
Can someone help me with this
mash [69]

The center of the circle is (h,k) = (-2,-3)

The radius of the circle is r = 2

The standard form of equation of the circle is

{(x + 2)}^{2}  +  {(y + 3)}^{2}  = 4

<h3>How to find the center, radius and standrad form of the circle?</h3>

The general form of equation of the circle is

{(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}

Here, (h,k) means centre of the circle.

r means radius of the circle.

given that coordinate points of centre of circle is (-2,-3).

Hence the (h,k) = (-2,-3)

<h3>How to find the radius of the circle?</h3>

Now to find the radius of the circle

The distance from a circle's centre to its circumference is its radius.

The distance from a circle's centre (-2,-3) to its circumference (0,-3) is its radius.

using the formula, distance between the two points to obtain radius.

d =  \sqrt{(x1 - x2) {}^{2}  +  {(y1 - y2)}^{2} }  \\ r =  \sqrt{ {( - 2 - 0)}^{2} +  {( - 3 - ( - 3))}^{2}  }  \\ r =  \sqrt{ {( - 2)}^{2} +  {( - 3 + 3)}^{2}  }  \\ r =  \sqrt{ {4}^{2} + 0 }  \\ r =  \sqrt{4}  \\ r = 2

<h3>How to find the standard form of equation of the circle?</h3>

(h,k) = (-2,-3)

r = 2

subtitue the (h,k) and r values to get the standard form of equation of the circle.

(x - h) {}^{2}  +  {(y - k)}^{2}  =  {r}^{2}

{(x - ( - 2))}^{2}  +  {(y - ( - 3))}^{2} =  {r}^{2}

{(x + 2)}^{2}  +  {(y + 3)}^{2}  = 4

Learn more about circle, refer:

brainly.com/question/24810873

#SPJ9

5 0
1 year ago
Apple juice is sold in 2.5l cartons and 350ml boxes. a 2.5l carton sells for $4.15 and six 350ml boxes sell for $4.50. calculate
TiliK225 [7]

Answer:

0.00166 dollars per milliliter

0.002142857142857 dollars per milliliter.

Step-by-step explanation:

1. 2.5 carton

2.5 liters of juice is 4.15

2.5 liters=2,500 milliliters

To find the price per milliliter, we will divide the cost by the amount of juice there is.

4.15/2,500=0.00166 dollars per milliliter

2. 6 350-ml cartons

6 350-milliliter boxes= a total of 6*350 ml=2100 milliliter

Again, we will divide the cost by the amount of juice.

4.50/2100=0.002142857142857 dollars per milliliter.

7 0
3 years ago
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