Surface area of cube = 6 * (side)^2
side^2 = surface area / 6
side = sqrt (surface area / 6)
For the cube with area 1200 square inches:
side = sqrt(surface area / 6)
side = sqrt(1200 / 6)
side = 14.1421 inches
For the cube with area 768 square inches:
side = sqrt(surface area / 6)
side = sqrt(768 / 6)
side = 11.3137 inches
difference between the two lengths = 14.1421 - 11.3137 = 2.8284 inches
Based on the above calculations, the side of the cube with surface area 1200 square inches is 2.8284 inches longer than the side of the cube with surface area 768 square inches
Answer:
C. z = 2.05
Step-by-step explanation:
We have to calculate the test statistic for a test for the diference between proportions.
The sample 1 (year 1995), of size n1=4276 has a proportion of p1=0.384.
The sample 2 (year 2010), of size n2=3908 has a proportion of p2=0.3621.
The difference between proportions is (p1-p2)=0.0219.
The pooled proportion, needed to calculate the standard error, is:
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the z-statistic as:
z=2.05
Answer:
4) Alternate Interior angles 5) Parallel lines property.
Step-by-step explanation:
The question is asking us to Complete the statements to prove that line AB ⩭ to line CD and line BC ⩭ to line AD.
In statement 4 .∠CAB is congruent to ∠ACD as AB is parallel to CD and ∠BCA is congruent to∠CAD as AD is parallel to BC and these are Alternate interior angles to the parallel lines .
In statement 5.m∠CAB =∠ACD and ∠BCA = ∠CAD as by property of parallel lines Alternate interior angles are equal.
Answer:
Hello...... here is a solution :
1 -
Hello:
the equation of "m" is : y = ax+b
the slope is a : a×(- 2/3) = -1......( perpendicular to a line : y=-2/3x+6 when the slope is -2/3 )
a = 3/2
the line " n" that passes through (4, - 3) and parallel to line "m" :
when the slope is 3/2 ( same slope )
the equation in slope-intercept form of the line" n" is :
y – (-3)= (3/2)(x – 4)
when he bought the shirt it brought his card balance to $327.12 and then he split the remaining balance with is brother Jack so you would divide $327.12/2 which is $163.56, so they both got $163.56 after he splits
