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2 years ago

12

Give a reason why x=60 degrees

1 answer:

SSSSS [86.1K]2 years ago

5 0

Answer:

alternate angles will be equal, so x = 60

Step-by-step explanation:

it's an equilateral triangle. all angles are equal to 60°. one of them is alternate to x as per the figure, so x = 60°

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10 girls go to see a chick flick together on a Friday night at their local megaplex. They buy x large popcorns and y large fount

oee [108]

Answer:

69

Step-by-step explanation:

7 0

2 years ago

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

Question 6 of 10

Montano1993 [528]

A. 8.53 units is the length of the straight which is perpendicular to the straight line CD

6 0

3 years ago

What is the surface area of a rectangular prism with a length of 3 mm, a width of 5 mm, and a height of 8 mm?

kherson [118]

158, because to solve this question we first need to know the formula for finding the surface area of a rectangular prism which is A=<span>2<span>(<span><span><span>wl</span>+<span>hl</span></span>+<span>hw</span></span><span>) then you just need to input the numbers like so A=2(5*3+8*3+8*5) then when you simplify this down you get A=2(79) then distribute like so so A=158

Enjoy!=)</span></span></span>

8 0

2 years ago

Find the values of x and y.

olchik [2.2K]

Answer:

value of x = 26

value of y = 26 \|2

( 26 root 2 )

Step-by-step explanation:

here's the solution : -

=》

$\sin(45) = \frac{perpendicular}{hypotenuse}$

=》

$\frac{1}{ \sqrt{2} } = \frac{26}{y}$

=》

$y = 26 \sqrt{2}$

and

$\tan(45) = \frac{perpendicular}{base}$

=》

$1 = \frac{26}{x}$

=》

$x = 26$

8 0

3 years ago