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2 years ago

The results of a survey are shown below. in the survey, 12 students said that they would like to learn french.

Mathematics

1 answer:

Aloiza [94]2 years ago

3 0

Sorry no one can answer this, there is no picture of the results of the survey

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Use a half-angle identity to find the exact value

Tatiana [17]

Given:

$\cos 15^{\circ}$

To find:

The exact value of cos 15°.

Solution:

$$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}$

Using half-angle identity:

$$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}$

$$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}$

Using the trigonometric identity: $\cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}$

$$=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}$

Let us first solve the fraction in the numerator.

$$=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}$

Using fraction rule: $\frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}$

$$=\sqrt{\frac {2+\sqrt{3}}{4}}$

Apply radical rule: $\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$$=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}$

Using $\sqrt{4} =2$ :

$$=\frac{\sqrt{2+\sqrt{3}}}{2}$

$$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}$

5 0

3 years ago

Tom says that he needs 6 rolls to obtain each possible outcome on a 6-sided die. On the fourth roll, he rolls his second "3”. To

laila [671]

Tom is incorrect

He keeps getting the same number of 1:6 on each roll.

8 0

2 years ago

Kanye and jay wanted to see who could run faster in a minute.They both started in the same spot and ran in different directions.

Lena [83]

Answer:

Kanye run faster.

Step-by-step explanation:

Given that,

Time = 1 min = 60 sec

Suppose, we find the speed of kanye and Jay.

According to number line,

Kanye covers the -160m distance and Jay covers the 140 m distance.

Negative sign shows the opposite direction.

We need to calculate the speed of Kanye

Using formula of speed

$v=\dfrac{d}{t}$

Where, v = speed

d = distance

t = time

Put the value into the formula

$v=\dfrac{160}{60}$

$v=2.66\ m/s$

We need to calculate the speed of Kanye

Using formula of speed

$v=\dfrac{d}{t}$

Put the value into the formula

$v=\dfrac{140}{60}$

$v=2.33\ m/s$

The speed of kanye is more than jay.

Hence, Kanye run faster.

6 0

3 years ago

Please answer this now in two minutes

Firlakuza [10]

Answer:

x = 6.6

Step-by-step explanation:

Data obtained from the question include the following:

Angle X = 15°

Angle Y° = 23°

Side y = 10

Side x =..?

The value of side x can be obtained by using the sine rule as shown below:

x/Sine X = y/Sine Y

x/Sine 15 = 10/Sine 23

Cross multiply

x × Sine 23 = 10 × Sine 15

Divide both side by Sine 23

x = (10 × Sine 15) / Sine 23

x = 6.6

Therefore, the value of x is 6.6.

7 0

3 years ago

GIVING BRAINLIEST TO WHOEVER GETS QUESTION 10 AND 11 RIGHT! HURRY THIS IS A QUIZ

krek1111 [17]

Answer:

0.60

1.00

Step-by-step explanation:

5 0

2 years ago

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