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4 years ago

What is the reference angle and cosine of StartFraction 7 pi Over 6 EndFraction ?

Mathematics

2 answers:

lara31 [8.8K]4 years ago

6 0

Answer:

Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.

Step-by-step explanation:

Ann [662]4 years ago

3 0

EndRoot Over 2 EndFraction

StartFraction pi Over 6 EndFraction, StartFraction StartRoot 3 EndRoot Over 2 EndFraction

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How can you write 0.45 as fraction and a percentage ,please show work

Blababa [14]

To convert 0.45 to percent multiply by 100

0.45 × 100 = 45 %

Write the decimal number as a fraction
(over 1)
0.45 = 0.45 / 1

Multiplying by 1 to eliminate 2 decimal places
we multiply top and bottom by 2 10's

Numerator (N)
N = 0.45 × 10 × 10 = 45
Denominator (D)
D = 1 × 10 × 10 = 100

N / D = 45 / 100

Simplifying our fraction

= 45/100

= 9/20

7 0

3 years ago

Read 2 more answers

A number line goes from negative 5 to positive 5. Point D is at negative 4 and point E is at positive 5. A line is drawn from po

Ronch [10]

Directed numbers are numbers that have either a positive or negative sign, which can be shown on a number line. Therefore, point F is Fifteen-halves of line segment DE.

A number line is a system that can show the positions of positive or negative numbers. It has its ends ranging from negative infinity to positive infinity. Thus any directed number can be located on the line.

Directed numbers are numbers with either a negative or positive sign, which shows their direction with respect to the number line.

In the given question, the distance between points D and E is 9 units. So that dividing 9 units in the ratio of 5 to 6, we have;

$\frac{5}{6}$ x 9 = $\frac{45}{6}$

= $\frac{15}{2}$

Therefore, the location of point F, which partitions the directed line segment from d to E into a 5:6 ratio is $\frac{15}{2}$ . Thus the answer is Fifteen-halves.

For further clarifications on a number line, visit: brainly.com/question/23379455

#SPJ1

7 0

2 years ago

What is the slope of the line that contains the points (-1, 2) and (3, 3)?

iren [92.7K]

Answer:

1/4

Step-by-step explanation:

Slope of a line can be found if given two points by using the formula $\frac{y_2-y_1}{x_2-x_1}$ where $(x_1,y_1) \text{ and } (x_2,y_2)$ are points on the line.

However, I like to line up the points vertically and subtract then put 2nd difference over 1st difference.

Like this:

( 3 , 3 )

-( -1 , 2 )

---------------------

4 1

So the slope is 1/4.

3 0

3 years ago

Read 2 more answers

The table below shows the square roots of different numbers: Number (x) 4 4 9 9 Square root (y) 2 −2 3 −3 Part A: Does the table

Likurg_2 [28]

Part B. f(x) = 90 + 0.11x
f(300) = 90 + 0.11(300) = 90 + 33 = $123
f(300) represents the total cost, in dollars, for renting a car for a week and driving it for 300 miles.

7 0

3 years ago

Directio: Draw and label a figure for the condition.

andre [41]

Answer:

$[Kindly\ find\ the\ graph\ attachment]$

$We\ are\ given\ that,\\Line\ ST\ incorporates\ Points\ S\ and\ T\ within\ it,\ which\ are\ NOT\ it's\ endpoints.\\In\ fact,\ lines\ don't\ have\ endpoints,\ since\ they\ continue\ infinitely.\\Now\ we\ know\ that,\\Any\ point\ W\ lies\ on\ Line\ ST.\\As\ Line\ ST\ contains\ infinite\ points\ within\ it,\ we\ can\ mark\ any\ point\\ between\ points\ S\ and\ T\ as\ Point\ W.\\$

5 0

4 years ago