Answer:
d = 18
Step-by-step explanation:
a = 3;
therefore
d = 4a + 6
d = 4(3)+ 6
d = 12 + 6
d = 18


Solution:
Given triangle is a right triangle.
Base = 5, Hypotenuse = 13, Height = ?
Height (h) = opposite
<em>In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>



Taking square root on both sides.
h = 12












Answer:
22.6 degrees
Step:
The hypotenuse is 13cm using pythagoras theorem.
Now, finding the smallest angle is by using;
SOH
sin = opposite over hypotenuse
Thus, cos^-1 (12/13)
=22.61
and equals to 22.6 (1d.p)
<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 />
1012 x 1512 x 3 = 4590432 . the only suitable answer would be A<span />