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3 years ago

What is the difference between constructing and drawing geometric figures? Give a real-world example of each.

Mathematics

2 answers:

wolverine [178]3 years ago

8 0

The difference between constructing and drawing geometric figures is as follows:

To construct geometric figure you use many tools like protractor, compass, ruler, scale, square, among others. So you need an accurate representation of the geometric figure. On the other hand, to draw a geometric figure you only need a pencil to do that. You don't need an accurate representation of the geometric figure.

A real-world example of each:

Think about an civil engineer who is constructing a building. He would need many tools to do that. In fact, he would need an building which is an accurate representation of the drawings he made using a software. He would need the accurate measurements and the correct location of each characteristic points of the building. So, this is the construction. On the other hand, when starting with the project, the civil engineer maybe took a paper and began drawing an sketch of his building, he only needed a pencil to do that, so this is the drawing made by hand.

NikAS [45]3 years ago

7 0

The difference between constructing and drawing geometric figures is that when constructing a geometric figure, you use compass, protractor, ruler, or any scale with accurate measurement while when drawing geometric figures, you just draw with free-hand. It is not exact in measures.

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Leni [432]

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3 years ago

(1 point) A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowi

Drupady [299]

Answer:

a. $\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c$

b. $x(t) = 6\frac{2}{3} \cdot c \cdot t$

c. $c = \dfrac{3}{8} \ g/L$

Step-by-step explanation:

a. The volume of water initially in the fish tank = 15 liters

The volume of brine added per minute = 5 liters per minute

The rate at which the mixture is drained = 5 liters per minute

The amount of salt in the fish tank after t minutes = x

Where the volume of water with x grams of salt = 15 liters

dx = (5·c - 5·c/3)×dt = 20/3·c = $6\frac{2}{3} \cdot c \cdot dt$

$\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c$

b. The amount of salt, x after t minutes is given by the relation

$\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c$

$dx = 6\frac{2}{3} \cdot c \cdot dt$

$x(t) = \int\limits \, dx = \int\limits \left ( 6\frac{2}{3} \cdot c \right) \cdot dt$

$x(t) = 6\frac{2}{3} \cdot c \cdot t$

c. Given that in 10 minutes, the amount of salt in the tank = 25 grams, and the volume is 15 liters, we have;

$x(10) = 25 \ grams(15 \ in \ liters) = 6\frac{2}{3} \times c \times 10$

$6\frac{2}{3} \times c =\dfrac{25 \ grams }{10}$

$c =\dfrac{25 \ g/L }{10 \times 6\frac{2}{3} } = \dfrac{25 \ g/L}{10 \times \dfrac{20}{3} } =\dfrac{3}{200} \times 25 \ g/L= \dfrac{75}{200} \ g/L = \dfrac{3}{8} \ g/L$

$c = \dfrac{3}{8} \ g/L$

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3 years ago

What is the vertex, axis of symmetry, domain, and range of the graph above in the picture.

il63 [147K]

Answer:

1,-4 is the vertex x=1 is the axis of symetry and domain is positive infinity to negative infinity y is any number greater than or equal to -4

Step-by-step explanation:hope this helps god bless please giv brainlyest

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3 years ago

Solve for x: 2(x + 3)2 − 4 = 0

alexandr1967 [171]

Answer:

x=-2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x+3)(2)−4=0

4x+12+−4=0(Distribute)

(4x)+(12+−4)=0(Combine Like Terms)

4x+8=0

Step 2: Subtract 8 from both sides.

4x+8−8=0−8

4x=−8

Step 3: Divide both sides by 4.

4x/4 =-8/4

x=−2

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3 years ago

Describe a real life situation that can be modeled by an absolute value equation with the solutions x=62 and x=72

Nataly_w [17]

Answer:

67 - 5 = 62

67+5 = 72

Step-by-step explanation:

the real life scenario has been described under this paragraph. take note that I used a number which when added to another number gives 72, and when I subtract this number from the other number, I also get 62

let's assume that a teacher carries out a study in his class and found out that 67percent of his students support indoor sporting activities, if there is an error of 5%, find the minimum and also the maximum percentage of students who are in favor of indoors sporting activities.

|x - 67| = 5

such that

x = 67 +-5

x = 67+5 = 72

x = 67-5 = 62

x= 62, x = 72

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3 years ago