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3 years ago

What is the missing value 4+9=9+?

Mathematics

2 answers:

Goshia [24]3 years ago

7 0

Answer:

Step-by-step explanation:

4+9 would equal to the same sum of 9+4

grandymaker [24]3 years ago

5 0

Answer:

TᗩKᗴ Tᕼᗴ ᗰIՏՏIᑎᘜ ᐯᗩᒪᑌᗴ ᗩՏ ᙭

$4 + 9 = 9 + x \\ 4 + 9 - 9 = x \\ 4 = x$

=> ᵗʰᵉ ᵐⁱˢˢⁱⁿᵍ ᵛᵃˡᵘᵉ ⁱˢ 4.

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A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

goldfiish [28.3K]

Answer:

wire for square to maximize total area = 23 m

Wire to minimize total area = 2.019 m

Step-by-step explanation:

For the square, let's say the total length of the square is "y" m.

Thus, length of one side is = y/4

And area of the square = (y/4) = y²/16

Since the wire is 23 m, then total length of equilateral triangle is; 23 - y.

Thus, length of one side of equilateral triangle = (23 - y)/3

Using trigonometric ratio, we can find the height of the triangle and thus area.

Area of triangle = (√3)/4) × ((23 - y)/3)²

Area of triangle = (√3)/36)(23 - y)²

So, total area of square and triangle is;

A_total = (y²/16) + (√3)/36)(23 - y)²

Now, extremizing this function by derivatives, we have;

dA/dy = (y/8) - (√3)/18)(23 - y)

d²A/dy² = ⅛ + (√3)/18)

So, d²A/dy² > 0

Now,let's find the maximum or minimum of the function.

So, we equate dA/dy to zero.

Thus;

(y/8) - (√3)/18)(23 - y) = 0

y/8 = (√3)/18)(23 - y)

(y/8) + (√3)/18)y = 23((√3)/18)

Multiply through by 8 to give;

y + 0.0962y = 2.2132

1.0962y = 2.2132

y = 2.2132/1.0962

y = 2.019 m

2.019 will be a minimum because d²A/dy² > 0

The maximum will occur at a boundary of the allowed values. Thus, the absolute maximum is for y = 23.

Note that a square has more area than a triangle and as such it is normal for the square to get the largest area over the triangle and therefore we will have to use all of the wire to construct the square.

6 0

3 years ago

Parallelogram ABCD is given. Draw line EF so that it goes through the vertex A. Point E lies on the side BC and point F lies on

tresset_1 [31]

Answer:

The proof is explained step-wise below :

Step-by-step explanation :

For better understanding of the solution see the attached figure :

Given : ABCD is a Parallelogram ⇒ AB ║ DC and AD ║ BC

Now, F lies on the extension of DC. So, AB ║ DF

To Prove : ΔABE is similar to ΔFCE

Proof :

Now, in ΔABE and ΔFCE

∠ABE = ∠FCE ( alternate angles are equal )

∠AEB = ∠FEC ( Vertically opposite angles )

So, by using AA postulate of similarity of triangles

ΔABE is similar to ΔFCE

Hence Proved.

7 0

3 years ago

Determine the slope of the line that passes through the points:

miskamm [114]

Answer:

The slope of the line is 4.

Step-by-step explanation:

Recall that slope = rise over run: rise / run.

From the table we see that if x changes from 0 to 4, a run of 4, y changes from -1 to 15, a rise of 16, the slope of this line must be

m = rise / run = 16/4 = 4

The slope of the line is 4.

4 0

3 years ago

Someoneee helppp meee plzzzz

shepuryov [24]

Sorry I’m wrong I took geometry like 3 years ago so I might forget some

11. SSS
12. AAS
13 Not possible
14. ASA
15. SAS
16.ASA

8 0

3 years ago

What's the distance between (0,2) and (0,8)?

N76 [4]

Answer:

6 units

Step-by-step explanation:

The distance between two points can be calculated with the formula

$\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}$

However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.

Distance between (0, 2) and (0, 8)

= 8 -2

= 6 units

7 0

2 years ago