All categories

3 years ago

27x+5+15x-2 what is the degree angle

1 answer:

7 0

The original motivation for choosing the degree as a unit of rotations and angles is unknown. One theory states that it is related to the fact that 360 is approximately the number of days in a year.[5] Ancient astronomers noticed that the sun, which follows through the ecliptic path over the course of the year, seems to advance in its path by approximately one degree each day

You might be interested in

Based on the table, what is Nick's rate?

Nookie1986 [14]

7 yrds/sec because in the course of two seconds, he runs 14 yrds divide that by 2 to get 7 yrds/sec. you can allo chech with the next time which is 3 seconds more and he goes 21 yards more.

5 0

2 years ago

Which linear inequality is represented by the graph?

Tamiku [17]

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

A dotted line passes through two points (3, 1) and (-3, -3)

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept

Slope of a line passing through $(x_1, y_1)$ and $(x_2,y_2)$ is,

m = $\frac{y_2-y_1}{x_2-x_1}$

For the given points,

m = $\frac{1+3}{3+3}$

m = $\frac{2}{3}$

y-intercept 'b' = -1

Therefore, equation of the given line will be,

$y=\frac{2}{3}x-1$

Since graphed line is a dotted line so it's representing an inequality(having < or > sign)

And the shaded part is below the dotted line,

Inequality will be,

y < $\frac{2}{3}x-1$

Therefore, Option (4) will be the answer.

7 0

3 years ago

Use the function notation to write a recursive formula to represent the sequence: 4, 8, 12, ...

melamori03 [73]

Answer:

The correct answer is f(n) = f(n − 1) + 4

Step-by-step explanation:

Let us consider the sequence: 4, 8, 12, …

Using f(n) = f(n − 1) + 4, we can easily get the sequence.

As the first term is 4 and next term is obtained by adding 4 to the first term.

i.e. 4+4 = 8

8+4 = 12

12+4 = 16 and so on.

Since the next term is obtained by adding 4 to the previous term.

So, f(n) = f(n-1) + 4 would be the correct recursive formula for the function of the sequence 4, 8, 12, ....

Verification:

f(n) = f(n-1) + 4

Putting n=2 in f(n) = f(n-1) + 4 to get the second term of the sequence.

f(2) = f(2-1) + 4

f(2) = f(1) + 4

f(2) = 4 + 4

f(2) = 8

Putting n=3 in f(n) = f(n-1) + 4 to get the third term of the sequence.

f(3) = f(3-1) + 4

f(3) = f(2) + 4

So, adding 4 in f(2)=8 would give us the next term i.e. 12

f(3) = 8 + 4

f(3) = 12

Keywords: recursive formula, sequence

Learn more about using recursive formula from brainly.com/question/1851471

#learnwithBrainly

7 0

2 years ago

Which postulate can be used to prove that two triangles are congruent

user100 [1]

Side-Side-Side Theorem, Side-Angle-Side, Angle-Angle-Side, Angle-Side-Angle, and Hypotenuse-Leg for right triangles.

For example, for Side-Side-Side, if you prove all 3 sides of the triangle are congruent, then the triangle is congruent.

3 0

2 years ago

An exterior angle of a triangle is 140 degrees. If the non-adjacent angles are congruent, then what are the measures of all of t

trasher [3.6K]

The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees

Solution:

Given that exterior angle of triangle is 140 degrees

The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles

Given that adjacent angles are congruent

Let one of the non adjacent interior angles be "x"

x + x = 140

2x = 140

x = 70

So the two interior angles are 70 degrees and 70 degrees

Let us find the third interior angle

The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees

70 + 70 + third angle = 180

third angle = 180 - 70 - 70

third angle = 180 - 140

third angle = 40 degrees

Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees

3 0

3 years ago