if,
p/x=x/q
then cross-multiplying gives <span>x^2=pq</span>
<span>x^2=pq</span>. Taking the square root of both sides, we get <span>x=√pq</span> as the geometric mean of p and q.
Hence in the given question the product of p and q is 8.
so,
x=√8
x=2√2
Answer:
348
Step-by-step explanation:
Length-l
Width-w
Height-h
A=2(wl+hl+hw)=2·(8·9+6·9+6·8)=348
The slope of the line is 5
Answer:
118°
Step-by-step explanation:
When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.
Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.
Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.
(5x + 17) + (15x - 17) = 180
5x + 15x + 17 - 17 = 180
20x = 180
20x/20 = 180/20
x = 9°
Nkw let's substitute x = 9 into the equations
5x + 17 =
5(9) + 17 =
= 62°
15x - 17 =
15(9) - 17 =
= 118°
Both equations should add up to be 180°.
Therefore the measure of the largest angle is 118°.
3pi/4 is 135 in degrees. A 135-degree angle lies in quadrant 2. In quadrant 2, the x values are negative and the y values are positive.