All categories

2 years ago

The diagram shows a prism.

Mathematics

1 answer:

mixer [17]2 years ago

8 0

<h3>Correct Response;</h3>

<u>The drawing of the front and side elevation is attached</u>;

<h3 /><h3>Construction Method used to Draw the Required Elevation</h3>

The given scale = 2 squares to 1 m

Number of squares in the plane on which the front elevation is to be drawn = 16 squares

<h3>Front elevation;</h3>

The number of squares in the width of the front elevation = 4 squares

The number of squares in the front part closest to the observer = 4 × 1 squares

Number of squares in the slant surface of the = 3 squares by 4 squares

<u>Please find attached the drawing of the </u><u>front elevation</u><u> of the given </u><u>diagram</u>.

<h3>Side elevation;</h3>

Using the same pattern as above, we have that the side elevation is given as follows;

The width of the lower side of the side elevation = 2 meters = 4 squares

The height of the side elevation = 2 meters = 4 squares

<u>Please find attached the drawing of the required front and side elevation</u>;

Learn more about the front and side (view) elevation of an object here:

brainly.com/question/2875687

You might be interested in

Find the measure of < 1. <br> m < 1 = degrees

Furkat [3]

<1 = 120/2 = 60

answer
60 <span>degrees</span>

8 0

3 years ago

An art studio purchased a triangular plot of land in a town and constructed a new building whose base is in the shape of a right

Vinvika [58]

Answer:

The sides are 30 ft, 40 ft and 50 ft.

Step-by-step explanation:

The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.

Using Pythagoras theorem the length of the sides can be found.

a² + b² = c²

(x - 4)² + (x + 6)² = (2x - 18)²

(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)

x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324

2x² - 8x + 12x + 16 + 36 = 4x² - 72x + 324

2x² + 4x + 52 = 4x² - 72x + 324

2x² - 4x² + 4x + 72x + 52 - 324 = 0

-2x² + 76x - 272 = 0

2x² - 76x + 272 = 0

divide through by 2

x² - 38x + 136 = 0

find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.

x² - 4x - 34x + 136 = 0

x(x - 4) - 34(x - 4) = 0

(x - 4)(x - 34 ) = 0

x = 4 or 34

we can only use 34 since using 4 will result to negative number.

x - 4 = 34 - 4 = 30 ft

x + 6 = 34 + 6 = 40 ft

2x - 18 = 68 - 18 = 50 ft

6 0

3 years ago

Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.5

Fynjy0 [20]

Answer:

Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

Step-by-step explanation:

Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables <em>a, b</em>, and <em>c</em>, respectively.

Since a total of 14 cups of coffee was served:

$a+b+c=14$

A total of 204 ounces of coffee was served. Therefore:

$10a+14b+20c=204$

A total of $16.70 was collected. Hence:

$0.95a+1.15b+1.5c=16.7$

This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.

From the first equation, let's subtract <em>a</em> and <em>b</em> from both sides:

$c=14-a-b$

Substitute this into both the second and third equations:

$10a+14b+20(14-a-b)=204$

And:

$0.95a+1.15b+1.5(14-a-b)=16.7$

In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:

For the Second Equation:

$\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}$

And for the Third:

$\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}$

We can solve this using substitution. From the second equation, isolate <em>a: </em>

<em /> $\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b$ <em />

Substitute into the third:

$-0.55(7.6-0.6b)-0.35b=-4.3$

Distribute and simplify:

$-4.18+0.33b-0.35b=-4.3$

Therefore:

$-0.02b=-0.12\Rightarrow b=6$

Using the equation for <em>a: </em>

<em />

And using the equation for <em>c: </em>

<em />

Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

7 0

2 years ago

Which of the following is the graph of y=w--3?

bezimeni [28]

What following there is no picture

8 0

3 years ago

Solve by substitution 9x+y=21, -x-3=y

VashaNatasha [74]

Answer:

point form: $(3,-6)$

equation form: $x=3, y=-6$

Step-by-step explanation:

4 0

2 years ago