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3 years ago

Which equation is true when x = 1/2?

Mathematics

2 answers:

jeka943 years ago

8 0

Answer:

Explanation:

6/ 1/2 = 6*2, 6*2 not equal to 3

half of 8 is 4, not 16

1/2+2 = 2 1/2

10/ 1/2 = 10*2 = 20

Alik [6]3 years ago

6 0

Answer:

Step-by-step explanation:

10 divided by 0.5 (1/2) = 20

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What’s the value of DCB?<br> Pls help

amm1812

Answer:

Step-by-step explanation:

angle ACD + angle DCB = 180 (Angles on straight line)

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 180-5

7x = 175

x = 175 / 7

x = 25

angle DCB = 3x +3 = 3*25 + 3 = 75 +3 = 78

6 0

3 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

4 years ago

Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.<br>

tino4ka555 [31]

Pythagorean theorem.

a^2+b^2=c^2

This means that the square of the length of the 2 legs of a right triangle added together = the square of the length of the hypotenuses or diagonal.

If you know 2 of the values in the 3 variables a,b,c what would you do to find the missing variable value?

I will not write the exact answers to this problem. I think you can figure how to write it out yourselves.

6 0

3 years ago

How long is the base of a parallelogram if it has an area of 100 m2 and a height of 5 m?

DochEvi [55]

$\displaystyle\\
\bold{A= b \times h} \\ \\ 
\bold {\Longrightarrow~~~ b = \frac{A}{h} = \frac{100}{5} =}~ \boxed{\bold{20~m }}$

4 0

3 years ago

How much does 1/3 package weigh

rodikova [14]

Answer:

1/3 package of what

Step-by-step explanation:

3 0

3 years ago