The following steps are used to rewrite the polynomial expression x(x-5y) 2y (x-5y

The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

7 0

2 years ago

What is the value of y?

Slav-nsk [51]

In a triangle all of the angles always add up to 180, so let's set up an equation.

79 + 37 + y = 180
Simplify
116 + y = 180
Subtract 116 from both sides.
y = 64

The value of y is 64.

Hopefully this helps! If you have any more questions or don't understand, please comment or DM me, and I'll get back to you ASAP. :)

6 0

3 years ago

Gianna used 11.9 yards of fabric to make 7 same-sized aprons for the cooking club. How much fabric did Gianna use per apron?

docker41 [41]

Answer:

Step-by-step explanation:

11.9 divided by 7 = 1.7

She uses 1.7 yards per apron

5 0

2 years ago

PLEASE HELP!!!

allsm [11]

Answer/Step-by-step explanation:

Part A: Net A is the correct net. If we decide to fold the net, we'd get the shape of the prism. Folding back net B won't give us the shape of the prism because of the position and arrangement of the right triangular bases.

Part B:

AB = 3in

BC = 5 in

CD = 9.4 in

Part C: surface area of the prism can be calculated by calculating the area of each part of the net, and summing them together as follows,

Area of the 2 triangular bases = 2(½*base*height of triangle) = 2(½*4*3) = 2*2*3 = 12 in²

Area of the three rectangles =

$= (9.4*4) + (9.4*3) + (9.4*5) = 37.6 + 28.2 + 47 = 112.8 in^2$

Surface area of prism = 12 + 112.8 = 124.8 in²

4 0

2 years ago

A very slow man walks 20 cm.in 0.5 left, what his velocity in meter per second?

Gre4nikov [31]

Displacement(d)=0.2m
Time taken(t)= 30 s(1min=60 s)
Velocity (v)=?
We know that,
Velocity (v) = d/t
=0.0067

8 0

2 years ago