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alexandr402 [8]
3 years ago
7

How to find the volume and total surface area for a triangular prism​

Mathematics
1 answer:
Neko [114]3 years ago
3 0

Answer:

Step-by-step explanation:

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A metalworker has a metal alloy that is 30?% copper and another alloy that is 55?% copper. How many kilograms of each alloy shou
Sati [7]

Answer:

18 kilograms of 30% copper alloy is mixed with 72 kilograms of 55% copper alloy to makes  90 kg of a 50% copper alloy .

Step-by-step explanation:

Let us assume that the kilogram of 30% copper used to make alloy be x .

Let us assume that the kilogram of 55% copper used to make alloy be y .

As given

A metalworker has a metal alloy that is 30% copper and another alloy that is 55% copper.

The metalworker combine to create 90 kg of a 50% copper alloy .

Equation becomes

x  + y = 90

30% is written in the decimal form .

= \frac{30}{100}

= 0.30

55% is written in the decimal form .

= \frac{55}{100}

= 0.55

50% is written in the decimal form .

= \frac{50}{100}

= 0.50

Equation becomes

Concentration of 30% copper alloy × Number of kilograms of 30% copper alloy used + Concentration of 55% copper alloy × Number of kilograms of 55% copper alloy used = Concentration of 50% copper alloy × Number of kilograms of 50% copper alloy .

0.30x + 0.55y = 0.50 × 90

Simplify the above equation

\frac{30x}{100} + \frac{55y}{100} = \frac{90\times 50}{100}

30x + 55y = 4500

Two equation becomes

x  + y = 90

30x + 55y = 4500

Multiply x  + y = 90 by 30 and subtracted form 30x + 55y = 4500 .

30x - 30x + 55y - 30y = 4500 - 2700

25y = 1800

y = \frac{1800}{25}

y = 72 kilograms

Putting the value of y in the equation .

x  + 72 = 90

x = 90 - 72

x = 18 kilograms

Therefore 18 kilograms of 30% copper alloy is mixed with 72 kilograms of 55% copper alloy to makes  90 kg of a 50% copper alloy .

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3 years ago
(02.02)Line segment EF is shown on a coordinate grid: A coordinate plane is shown. Line segment EF has endpoints negative 3 comm
Andrew [12]

Answer:

E'F' and EF are equal in length

Step-by-step explanation:

we have

The coordinates of point E(-3,2) and F(-1,2)

we know that

The rule of the reflection across the x-axis is

(x,y) ------> (x,-y)

so

Applying the rule of reflection across the x-axis

E(-3,2) -------> E'(-3,-2)

F(-1,2) --------> F'(-1,-2)

using a graphing tool

see the attached figure to better understand the problem

therefore

E'F' and EF are equal in length

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What is the LCM of 144 and 60?
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Answer:

720

Step-by-step explanation:

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It is (0,0) there ya go :)
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