Which type of graph would be best for showing how the population of a country changes each month?

Mathematics

2 answers:

Serjik [45]3 years ago

6 0

Answer:

A. Line graph

Step-by-step explanation:

ivann1987 [24]3 years ago

4 0

Answer:

Line graph and Bar graph

Step-by-step explanation:

Since Line Graph is used to visualize the data that change over time, So Line Graph can use for representation.

Also, since it is a categorical data, so Bar graph is also the best representation for showing how the population of a country changes each month.

Thus, Option A and D is correct.

Further, Line Graph is used to visualize the data that is change over time. Here each information is connected with others.

Scatter Plot is used to visualize the two-dimension graph that uses the point to show the values obtained by both the variables.

Circle graph also known as pie chart used to visualize the data proportionally. Here the arc of the circle is used to represent only the proportion of all the data.

Bar graphs are made up of columns with different labels of categorical data of different heights shows the size of the group of different labels.

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1. To the nearest degree, find the measure of angle A.

Assoli18 [71]

Answer:

(1) Option A is correct , The measure of angle A = 26°

(2) Option D is correct, The measure of angle B =70°

Step-by-step explanation:

(1)

In a right angle triangle figure-1 ,

* Hypotenuse(H) is always opposite the right angle and it is always the longest side of the triangle.

* Adjacent side (B) is the non-hypotenuse side that is next to a given angle A.

* Opposite side(P) is across from a given angle A.

To find the Angle A we use the Cosine ratio:

Cosine ratio states that the ratio of the adjacent side of a right triangle to the hypotenuse.

By definition of cosine ratio we have;

$\cos A = \frac{B}{H}$ ....[1]

In the figure - 1 we have B = 18 in and H = 20 in

substitute these in [1] to find angle A

$\cos A =\frac{18}{20} =\frac{9}{10} = 0.9$

$A = cos^{-1} (0.9)$

⇒ $A \approx 26^{\circ}$

therefore, the measure of angle A is, $26^{\circ}$

(2)P

In figure -2

Find the measure of angle B.

First find the side BC, using Pythagoras theorem;

Pythagoras theorem states that in the right angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Apply Pythagoras theorem in rt. angle ABC;

$AB^2 = AC^2+BC^2$