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aalyn [17]
3 years ago
15

Will mark brainlyiest

Mathematics
2 answers:
Anna35 [415]3 years ago
5 0

Answer:

8.3 units

Step-by-step explanation:

Refer to the notations above, we can use Pythagoras Theorem to find the hypotenuse of the red triangle on the base of the prism.

The hypotenuse of the red triangle

=  \sqrt{ {7}^{2} +  {4}^{2}  }

=  \sqrt{65}

The hypotenuse of the red triangle is the common side of the yellow triangle's base.

d is equal to the hypotenuse of the yellow triangle.

The length of d

=  \sqrt{ { \sqrt{65} }^{2}  +  {2}^{2} }

=  \sqrt{65 + 4}

=  \sqrt{69}

= 8.30662...

= 8.3 units

JulsSmile [24]3 years ago
3 0

Answer:

8.3 units

Step-by-step explanation:

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I really need help with this.
aniked [119]

9514 1404 393

Answer:

  a.  (1.4, 2.6)

  b.  (3, 2)

Step-by-step explanation:

a. The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle.

For points X(a, b) and Y(c, d), the perpendicular bisector of XY can be written as ...

  (c -a)(x -(c+a)/2) +(d -b)(y -(d+b)/2) = 0

Then the equation of the perpendicular bisector of MN is ...

  (-2-4)(x -(-2+4)/2) +(4-0)(y -(4+0)/2) = 0

  -6(x -1) +4(y -2) = 0

  3x -2y = -1 . . . .  divide by -2 and put in standard form

Similarly, the perpendicular bisector of NO is ...

  (0-(-2))(x -(0-2)/2) +(6 -4)(y -(6+4)/2) = 0

  2(x +1) +2(y -5) = 0

   x + y = 4 . . . . divide by 2 and put in standard form

So, the point of intersection is ...

  (3x -2y) +2(x +y) = (-1) +2(4) . . . . . add twice the 2nd equation to the 1st

  5x = 7 . . . . . . simplify

  x = 1.4 . . . . . . divide by 5

  y = 4-1.4 = 2.6 . . . . . find y from the second equation

The coordinates of the circumcenter are (1.4, 2.6).

__

b. The centroid is the average of the vertex coordinates.

  centroid = (A +B +C)/3 = ((1, 2) +(3, 4) +(5, 0))/3 = (1+3+5, 2+4+0)/3 = (9, 6)/3

  centroid = (3, 2)

3 0
3 years ago
Line segment Y A is an altitude of ΔXYZ. What is the length of Line segment Y A?
worty [1.4K]

Answer:

A on edge

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Recipe<br> 1/2 lemonade 1 1/2 iced tea. If 16 cups made how any cups of lemonade and iced tea
larisa86 [58]

Answer:

8 lemonade and 24 iced tea

Step-by-step explanation:

1/2=0.5

0.5x16=8 lemonade

1 1/2=3/2=1.5

1.5x16=24 iced tea

6 0
3 years ago
A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides is to be made of material t
Mila [183]

Answer:

The short side is _15___ft and the long side is ___30___ ft.

Step-by-step explanation:

As fence is built in a rectangular area, so we can consider

Let

 x be the length of the rectangle  

y be width of the rectangle

Given area of rectangle is = 450 ft²

Formula for area of rectangle = Length x width  

     450 ft² =  xy  

Solve for y

y = 450/x            

now according to given condition  

three sides of the fence costs $5 per foot and for the fourth side costs$15 per foot.

We have two condition either the fourth side be x or y

So condition 1:  Three sides =(x,y,x)       4-th side = y.

So  we can write as 5x,5y,5x  and  15 y  

Cost C = 5x +5y+5x+15y

         = 10x+ 5y+15y

         = 5(2x+y) +15y----------------equation 1

           = 10x +20y

Adding value of y 450/x

        = 10x + 20(450/x)

  = 10x + 9000/x

For minimum cost, we can consider the cost to be 0

 0 = 10x + 9000/x

Dividing and multiplying by -x/x

0 = -10 +9000/x²

10 = 9000/x²

 10x² = 9000/  

 x²= 900

x = 30

so y = 450/x = 450/30= 15 ft  

so adding the values of x and y in equation 1 we will have

cost C= 5(2x+y) +15y----------------equation 1

cost is          = 5(2(30)+15) +15(15)

                      =  $600 is the cost  

X= 30 y =15

So condition 2:  Three sides =(y,x,y)       4-th side = x.

So  we can write as 5y,5x,5y  and  15 x

Cost C = 5y +5x+5y+15x

         = 5x+ 10y+15x

         = 5(x+2y) +15x----------------equation 2

           = 20x +10y

Adding value of y= 450/x

        = 20x + 10(450/x)

  = 20x + 4500/x

For minimum cost, we can consider the cost to be 0

 0 = 20x + 4500/x

Dividing and multiplying by -x/x

0 = -20 +4500/x²

20 = 4500/x²

 20x² = 4500

 x²=  4500/20= 225

x = 15

so y = 450/x = 450/15= 30 ft  

so adding the values of x and y in equation 2 we will have

cost C= = 5(x+2y) +15x----------------equation 2

cost is          = 5(15+2(30) +15(15)

                      =  $600 is the cost  

y= 30 x=15

so from both conditions satisfy the cost and the two sides are known as length and width

so dimension will be 15 ft by 30 ft  

7 0
2 years ago
What is greater 1/5 , 1/4 , or 1/3
olya-2409 [2.1K]
1/3 is greater than 1/5 and 1/4.
5 0
3 years ago
Read 2 more answers
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