Answer:
1/2x = 16
x = 32
Step-by-step explanation:
For this case we have the following expression:
Rewriting the expression we have:
1) First we subtract the numbers within the parenthesis:
2) Then, we solve the exponents:
3) Then, multiplication:
4) Finally, the addition of numbers is made:
Answer:
the value of the expression is:
B: 29
First, turn the fractions into mixed numbers.
21/4 - 27/8
Then. make the denominators the same.
4 * 2 = 8
21 * 2 = 42
42/8 - 27/8
42 - 27 = 15
15/8
15/8 = 1 7/8
Answer:
Step-by-step explanation:
8-(-3)= 8+3+33=42
<h2>
Answer:</h2>
cos 28°cos 62°– sin 28°sin 62° = 0
<h2>
Step-by-step explanation:</h2>
From one of the trigonometric identities stated as follows;
<em>cos(A+B) = cosAcosB - sinAsinB -----------------(i)</em>
We can apply such identity to solve the given expression.
<em>Given:</em>
cos 28°cos 62°– sin 28°sin 62°
<em>Comparing the given expression with the right hand side of equation (i), we see that;</em>
A = 28°
B = 62°
<em>∴ Substitute these values into equation (i) to have;</em>
<em>⇒ cos(28°+62°) = cos28°cos62° - sin28°sin62°</em>
<em />
<em>Solve the left hand side.</em>
<em>⇒ cos(90°) = cos28°cos62° - sin28°sin62°</em>
⇒ 0 = <em>cos28°cos62° - sin28°sin62° (since cos 90° = 0)</em>
<em />
<em>Therefore, </em>
<em>cos28°cos62° - sin28°sin62° = 0</em>
<em />
<em />
