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3 years ago

ABCD shows the original location of a shape. FGHI shows the shape reflected across a

Mathematics

1 answer:

AnnyKZ [126]3 years ago

6 0

Answer:

A. 5.8

Step-by-step explanation:

if ABCD was reflected to FGHI means that A became F and B became G so AB became (was mapped to ) FG after reflection.

the length ( or distance) after reflection is is preserved ( does not change) so

if AB = 5.8 units then FG =5.8 units.

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(12 + 5) + 32 × (10 − 5) =

Leviafan [203]

Answer:

177 hope this helps

5 0

3 years ago

Read 2 more answers

16 OT 26

hram777 [196]

Answer:

$Total = 166cm^2$

Step-by-step explanation:

Given

See attachment

Required

Determine the surface area

The figure is made up of two cuboids and the surface area of a cuboid is:

$Area = 2LB + 2LH + 2BH$

Because the bottom part of the upper piece is not visible, the area is calculated as:

$Area = 2LB + 2LH + BH$

This gives:

$Area = 2 * 5*4 + 2 * 4 * 2 + 5 * 2$

$Area = 66$

For the bottom piece:

We calculate its area as $Area = 2LB + 2LH + 2BH$ . However, the area of the invisible part will be subtracted.

So, we have:

$Area = 2*3*5 + 2*3*5 + 2*5*5 - 2*5$

$Area = 100$

The total surface area is:

$Total = 66 + 100$

$Total = 166cm^2$

5 0

3 years ago

Factor trinomial x^2n+10x^n+16

iragen [17]

Answer:

$\large\boxed{x^{2n}+10x^n+16=(x^n+2)(x^n+8)}$

Step-by-step explanation:

$\text{Use}\ (a^n)^m=a^{nm}.\\\\x^{2n}+10x^n+16=(x^n)^2+10x^n+16=x^n\cdot x^n+2x^n+8x^n+16\\\\=x^n(x^n+2)+8(x^n+2)=(x^n+2)(x^n+8)$

8 0

3 years ago

A square garden plot measures 180 square feet. A second square garden plot measures 320 square feet. How many more feet of fence

REY [17]

The second garden plot will require 8√5 feet more fence than the first garden plot.

Further explanation:

In order to find the fence, we have to find the perimeter of both squares

So,

Area of Square 1: A1=180 square feet

Area of Square 2: A2=320 Square feet

Let x be the side of square 1:

Then,

$A_1=x^2\\180=x^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{180}=\sqrt{x^2}\\x=\sqrt{2*2*3*3*5}\\x=\sqrt{2^2*3^2*5}\\x=2*3\sqrt{5}\\x=6\sqrt{5}$

For second square:

Let y be the side of second square

$A_2=y^2\\320=y^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{320}=\sqrt{y^2}\\y=\sqrt{2*2*2*2*2*2*5}\\y=\sqrt{2^2*2^2*2^2*5}\\y=2*2*2\sqrt{5}\\y=8\sqrt{5}$

Perimeter of First Square:

$P_1=4x\\=4(6\sqrt{5})\\=24\sqrt{5}\ feet$

Perimeter of Second Square:

$P_2=4y\\=4(8\sqrt{5})\\=32\sqrt{5}\ feet$

The smaller perimeter will be subtracted from larger perimeter to find that how much more fence will be needed.

$P_2-P_1=32\sqrt{5}-24\sqrt{5}\\=(32-24)\sqrt{5}\\=8\sqrt{5}\ feet$

The second garden plot will require 8√5 feet more fence than the first garden plot.

Keywords: Radicals, Operations on Radicals

Learn more about radicals at:

#LearnwithBrainly

6 0

3 years ago

A) ¿Cuántas veces contiene la unidad base a la correspondiente del prefijo deci?

pshichka [43]

Answer:

Deci (símbolo d) es un prefijo del Sistema Internacional que indica un factor de 10−1 (1/10) o una décima parte.

7 0

1 year ago