Answer:
15.726
Step-by-step explanation:
log 5=0.698×12.5
=8.737
=0.698×10
=6.989
=8.737+6.989
=15.726
3x + 20 = 5x - 16
3x - 5x = -16 - 20
-2x = -36
x = -36/-2
x = 18
The measure of angle xyz can also be said to be the measure of angle y.
So, y = (3•18 + 20)
y = 54 + 20
y = 74°
The measure of angle xyz = 74°.
Answer:
Cos A = 24/25, Tan A = 7/25
Step-by-step explanation:
Given that Sin A = 7/25
Sin = Opp/hyp
Therefore using Pythagoras theorem, adjacent will be;
= √(25²-7²)
= √576
= 24
Thus;
Cos A = adjacent/hypotenuse
= 24/25
Cos A = 24/25
Tan A = opp/hypotenuse
= 7/25
Tan A = 7/25
Answer:
n= -6
Step-by-step explanation:
Simplifying
4 + -7n = -1(8n + 4) + 2
Reorder the terms:
4 + -7n = -1(4 + 8n) + 2
4 + -7n = (4 * -1 + 8n * -1) + 2
4 + -7n = (-4 + -8n) + 2
Reorder the terms:
4 + -7n = -4 + 2 + -8n
Combine like terms: -4 + 2 = -2
4 + -7n = -2 + -8n
Solving
4 + -7n = -2 + -8n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '8n' to each side of the equation.
4 + -7n + 8n = -2 + -8n + 8n
Combine like terms: -7n + 8n = 1n
4 + 1n = -2 + -8n + 8n
Combine like terms: -8n + 8n = 0
4 + 1n = -2 + 0
4 + 1n = -2
Add '-4' to each side of the equation.
4 + -4 + 1n = -2 + -4
Combine like terms: 4 + -4 = 0
0 + 1n = -2 + -4
1n = -2 + -4
Combine like terms: -2 + -4 = -6
1n = -6
Divide each side by '1'.
n = -6
Simplifying
n = -6
