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3 years ago

Which statement about converting metric units of measurement is true? Use the metric table to help answer the question.

Mathematics

2 answers:

natita [175]3 years ago

7 0

Answer:

To answer this question, we need to know first the unit conversion of each item in the choices such conversions are enumerated below:

1 centigram = 0.001 dekagrams

1 hectograms = 0.1 kilograms

1 grams = 1000 milligrams

1 dekagrams = 0.1 hectograms

From the choices, the correct unit conversion is the letter "B" which is "To find the number of hectograms in 4.5 kilograms, multiply 4.5 by 10". The solution is shown below:

4.5 kilograms * (1 hectograms / 0.1 kilograms), we need to cancel both kilograms such as the remaining unit is only the hectograms

4.5 * (1 hectograms / 0.1) where 1 divided by 0.1 is 10

4.5 * 10 hectograms

Therefore, 4.5kilograms should be multiplied by 10 in order to have hectograms as a unit.

Step-by-step explanation:

Ipatiy [6.2K]3 years ago

4 0

Answer:

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Step-by-step explanation:

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2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

4 years ago

A square has a perimeter of 28 inches. Find the area of the square.

sasho [114]

Answer:

A = 49 in^2

Step-by-step explanation:

The perimeter of a square is found by

P = 4s where s is the side length

28 = 4s

Divide each side by 4

28/4 = 4s/4

7 =s

We want to find the area

A = s^2 where s is the side length

A = 7^2

A = 49 in^2

4 0

3 years ago

Read 2 more answers

Harper knows he is 50 yards from school. The map on his phone shows that the school is 3/4 inch from his current location. How f

yulyashka [42]

Answer:

Harper is 200 yards away from her home if the map shows 3 inches

Step-by-step explanation:

50 yards = 3/4 inch

3 inches = 3/1

3/1 x 4/4 = 12/4

12/4 = 3 inches

50 x 4 = 200

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

6 0

3 years ago

Henry bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each

Cloud [144]

Answer:

Step-by-step explanation:

4 pies.. cut into 6 slices each.. is 4 *6 = 24

8 0

3 years ago

Read 2 more answers

In the expression 12a+5, identify. The coefficient

marysya [2.9K]

A coefficient is a number multiplied by a variable.

In this case, our variable is a.
The coefficient is 12.

(PS: The +5 that isn't being multiplied by a variable is called a constant)

5 0

3 years ago