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OleMash [197]
3 years ago
11

An artist makes a scale drawing of a parallelogram-shaped sculpture. The scale is 10 cm on the drawing for every 8 meters on the

sculpture. What is the area of the scale drawing? Show your work.

Mathematics
1 answer:
8_murik_8 [283]3 years ago
3 0

Answer:

Area of drawing= 0.315 m²

Step-by-step explanation:

Base = 6m

Height = 4.2 m

Area = height* base

Area= 4.2*6

Area= 25.2 m²

The scale is 10 cm on the drawing for every 8 meters on the sculpture.

Which is 10 cm to 800 cm

Or

0.1m to 8m

Arra of sculpture= 25.2 m²

area of drawing= (25.2*0.1)/8

Area of drawing= 0.315 m²

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If the following system of equations was written as a matrix equation in the form AX = C, and matrix A was expressed in the form
IrinaVladis [17]

Answer: a-b+c+d =4


Step-by-step explanation:

The given system of equation is

2x+8y=7\\4x-2y=9

from this we have the following matrices

A_1 =\begin{bmatrix}\\2 &8 \\ \\4&2 \\\end{bmatrix}\ ,X=\begin{bmatrix}\\x\\ \\y\\\end{bmatrix}\text{and}\ C=\begin{bmatrix}\\7\\ \\9\\\end{bmatrix}

the given matrix A =\begin{bmatrix}\\a &c \\ \\b &d \\\end{bmatrix}

On comparing Matrix  A_1 with Matrix A

\begin{bmatrix}\\a &c \\ \\b &d \\\end{bmatrix}=\begin{bmatrix}\\2&8 \\ \\4 &-2 \\\end{bmatrix}

we have the following values

a=2 ,b=4,c=8,d=-2

Thus a-b+c+d =2-4+8+(-2)=4

8 0
3 years ago
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-1 (4x + 2y)<br> im kinda lazy
Eva8 [605]

Answer:

−4x−2y

BRAINLIST PLS!

3 0
3 years ago
Please assist me<br><br>NO LINKS!!<br>​
Nana76 [90]

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!

We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.

If you have any questions feel free to ask away!!

Comprehension

We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.

We also know that in an isosceles angle, the base angles are equation to each other.

Now that we know what we need to know, we can setup an equation.

2x-6+(2x)=180

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.

I'll start solving now.

Solving

We can solve this by using the equation we made above and solving it with algebra.

2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5

We've proven that our answer is correct by double checking,

Therefore the answer is 46.5!

Cheers!

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2 years ago
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artcher [175]

Answer:

\frac{x}{2}  =  \frac{8}{9}  \\ 9x = 16 \\ x =  \frac{16}{9}  \\ x = 1.78

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