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2 years ago

The table shows the scoresof 20 students in a test, work out the mean score

Mathematics

1 answer:

adoni [48]2 years ago

7 0

Answer:

2.7

Step-by-step explanation:

hope you understand if you don't understand tell me I'll try again.

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Find \tan\left(\frac{17\pi}{12}\right)tan( 12 17π )tangent, left parenthesis, start fraction, 17, pi, divided by, 12, end frac

uranmaximum [27]

One way to do this is to notice

$\dfrac{17\pi}{12}=\dfrac\pi6+\dfrac{5\pi}4$

Then

$\tan\dfrac{17\pi}{12}=\tan\left(\dfrac\pi6+\dfrac{5\pi}4\right)=\dfrac{\tan\frac\pi6+\tan\frac{5\pi}4}{1-\tan\frac\pi6\tan\frac{5\pi}4}$

We have

$\tan\dfrac\pi6=\dfrac{\sin\frac\pi6}{\cos\frac\pi6}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

and since $\tan x$ has a period of $\pi$ ,

$\tan\dfrac{5\pi}4=\tan\left(\pi+\dfrac\pi4\right)=\tan\dfrac\pi4=1$

and so

$\tan\dfrac{17\pi}{12}=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3$

7 0

3 years ago

9/6 as an equivalent fraction

svet-max [94.6K]

3/2 We look for a number that goes into both 9 and 6 without leaving a remainder, and that number is 3

3 0

3 years ago

Which will result in a difference of squares?

Vedmedyk [2.9K]

Please show the choices

8 0

3 years ago

megan has 4 red marbles, 7 blue marbles, and 9 yellow marbles. what is the ratio of blue marbles to yellow marbles

11Alexandr11 [23.1K]

Answer:

7/9

Step-by-step explanation:

Has 7 blue and 9 yellow, find the ratio of blue to yellow so just simply 7/9.

4 0

2 years ago

You are designing an icon for a mobil app. Use the provided ruler to answer the following questions.

makkiz [27]

Answer:

a. Scale Perimeter : 2.5 centimeters

Actual Perimeter : 13 centimeters

Actual Area : 10.5 square centimeters

b. Actual Perimeter : 130 mm

Actual Area : 1,050 mm

Step-by-step explanation:

a. 2.5 mm = 0.25 cm

2 (1 + 0.25) = 2.5

2 (3.5 + 3) = 13

3.5 x 3 = 10.5

b. 3.5 cm = 35 mm 3 cm = 30 mm

2 (35 + 30) = 130

35 x 30 = 1050

7 0

2 years ago