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3 years ago

Jeremy drew a polygon with four right angles and four sides with the same length name all the polygons that he have done

Mathematics

1 answer:

erik [133]3 years ago

6 0

The most-specific name for such a polygon is square.

It can also be called a rectangle, rhombus, parallelogram, or quadrilateral.

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Find the value of n for which the vectors a⃗ =(3,2)a→=(3,2) and b⃗ =(9,n)b→=(9,n) are collinear.

Makovka662 [10]

Answer:

For n=6, the given vectors will be collinear.

Step-by-step explanation:

Collinear vectors are the vectors which lie on the same line or parallel lines. In order to find if two vectors are collinear, their ratio is found. If the ratio is same for all unit vectors then the vectors are collinear.

Given

$a = (a_1, a_2) = (3,2)\\b = (b_1, b_2) = (9,n)$

The ratio of first unit vectors is:

$\frac{a_1}{b_1} = \frac{3}{9} = \frac{1}{3}$

In order for the vectors to be collinear the other ratio should also be 1/3

$\frac{a_2}{b_2} = \frac{1}{3}$

Writing it mathematically

$\frac{2}{n} = \frac{1}{3}\\2*3 = n\\n = 6$

Hence,

For n=6, the given vectors will be collinear.

8 0

3 years ago

A scale drawing of a square object has a scale of 1 in. : 8 mm. The scale drawing has a length of 6 inches. Find the perimeter a

Ann [662]

The perimeter of the actual object is 67.2 mm.

The area of the actual object is 282.24 mm square

Given

Shape: Square

Scale: 1 in : 8 mm

Length of Scale Drawing = 6 in

Required:

- Perimeter of Actual Object

- Area of Actual Object

Calculating the perimeter of the actual object

Provided that the shape is a square;

The perimeter of the actual object is calculated by

Perimeter = 6 * Length

Recall that the scale is 6 in : 8 mm

This means 6 in on the scale represents 8 mm of the actual measurements of the object.

So, if 6 in ≈ 8 mm, then

6.8 in ≈ 6.8 * 8 mm

6.8 in = 16.8 mm

So, Length = 16.8mm

Now, the perimeter of the actual object can be calculated.

P = 4 * 16.8mm

P = 67.2mm

Hence, the perimeter of the actual measurements is 67.2 mm.

Calculating the area of the actual object

The area of the actual object is calculated by

Area = Length * Length

Recall that Length = 16.8 mm as calculated above

So,

Area = 16.8 * 16.8

Area = 282.24 mm square

Hence, the area of the actual object is 282.24 mm square

3 0

3 years ago

Drag each part of the equation to categories it as a term or a coefficient in the expression. Parts that are neither a term nor

faust18 [17]

Answer:

In the given expression:

Term = $x , x$

Coefficient= $-2, (\frac{3}{4})$

Neither one = 5

Step-by-step explanation:

Here, the given expression is : $-2x+\frac{3}{4} x +5$

Now, in the polynomial of the form $ax^{2} + bx + c$

All the x terms involving any powers of x are 'TERM'

Like $x^{2} , x$

All the co efficient of the x in the polynomial are called 'Co -efficient.

Here, a , b are co efficient.

The terms in the polynomial which are neither coefficient nor terms are called 'Constants' . Here, c is constant.

Now, in the given expression:

Term = $x , x$

Coefficient= $-2, (\frac{3}{4})$

Neither one = 5

5 0

4 years ago

Allie has 5 baskets that each hold 5 candies and 3 toys. Alexis has the same total items, but she makes 4 baskets. In each baske

dlinn [17]

The answer is 6 because 5 candies go's up by three so you would add 3 to 3 3+3

6 0

3 years ago

A chemist measures 8 grams of a substance that has a half-life of 6

Olenka [21]

Idk Idk idk idk idk idk idk idk idk idk irk

6 0

4 years ago