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3 years ago

8,706, 2812 What is the value of 7

Mathematics

1 answer:

LiRa [457]3 years ago

5 0

Answer:

7 million is the answer to this question

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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

Need help on this. Don’t understand a thing and I need to get this done ASAP. If you knew please help. It would be greatly appre

matrenka [14]

Answer:

the Lateral SA is 84

The total is 1092.

Step-by-step explanation:

4 0

3 years ago

A school dedicated 20% of the courtyard area for students to start a garden. The students want to know how much of the 950-squar

Step2247 [10]

Answer:

190 square foot

Step-by-step explanation:

School yard = 950 square foot

20% of school yard for student to start garden

Therefore

20/100 x 950

= 190 square foot

7 0

4 years ago

At bike shop x it costs $2.75 per hour plus a $3.00 deposit to rent a bike. at bike shop z it costs $1.75 per hour plus a $7.00

dem82 [27]

Answer:

Multiply the rate per hour by the number of hours (n) and add the deposit.

Bike shop x: c = 2.75n + 3.00

Bike shop z: c = 1.75n + 7.00

B) to find when they will cost the same set the equations equal to each other and solve for n:

2.75n + 3.00 = 1.75n + 7.00

Subtract 3 from each side:

2.75n = 1.75n + 4.00

Subtract 1.75n from both sides:

1.00n = 4.00

Divide both sides by 1:

n = 4 hours

6 0

3 years ago

Read 2 more answers

The graph of f(x)=cos(x) is transformed to a new function, g(x) , by stretching it horizontally by a factor of 4 and shifting it

SpyIntel [72]

The equation of the new function is $g(x)= cos4 x+1$

Explanation:

The Parent function is $f(x)=cos x$

We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.

The function transformation formula is given by

$f(x)=a \cos b(x-c)+d$

Where a stretches the function vertically

b compresses or stretches it horizontally,

c shifts the function left or right

d shifts the function up or down

Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.

Hence, $b=4$ and $d=1$

Substituting these values in the formula, we have,

$g(x)=cos4x+1$

Thus, the equation of the new function is $g(x)= cos4 x+1$

8 0

3 years ago