Answer: x=24
Step-by-step explanation:
step 1: remove parenthesis x+x+1+x+2=75
step 2: collect like terms 3x+3=75
step 3: move the constant to the right side of equation 3x=75-3
step 4: subtract 3x=72
step 5: divide both sides by three to get x by itself x=24
Answer:
city q less than city p
-4 < -9
Step-by-step explanation:
city p = -4
city q = -9
the inequality of comparison between the two cities will be
city q less than city p
The space between the two spheres will be the volume of the larger sphere minus the volume of the smaller sphere. Given that the volume of any sphere is:
V=(4πr^3)/3 The space between to sphere of different radius and positioned about the same center is:
S=(4πR^3)/3-(4πr^3)/3 I used S=volume of space, R=larger radius and r=smaller radius...
S=(4π/3)(R^3-r^3), we are told that R=5 and r=4 so
S=(4π/3)(5^3-4^3)
S=(4π/3)(125-64)
S=(4π/3)(61)
S=244π/61
S=4π cm^3
S≈12.57 cm^3 (to nearest hundredth of a ml)
Object A. You can use the area theorem to solve. Just do base x height to get the area of a shape.
Answer:
-24/5
Step-by-step explanation:
The solution to the problem is as follows:
cscx < 0 means 1/sinx < 0, or sinx < 0.
sinx = -3/5 because you're dealing with a 3-4-5 triangle, and we established
sinx is negative.
sin2x = 2sinxcosx = 2*-3/5*4/5 = -24/25
cos(2x) = cos^2(x) - sin^2(x) = 16/25 - 9/25 = 5/25 = 1/5
tan2x = sin2x / cos2x = -24/5
