Answer:
d = 17.5499287748 inches or 17.5 inches to 1 decimal place
Step-by-step explanation:
find the diagonal line passing through the middle of the bottom rectangle:
a² + b² = c²
10² + 8² = c²
100 + 64 = 164
c² = 164
c = √164
c = 12.8062484729
find d:
a² + b² = c²
12² + 12.80624847298² = c²
144+ 164 = 308
c² = 308
c = √308
c = 17.5499287748
therefore d = 17.5499287748 inches or 17.5 inches to 1 decimal place
Answer: 31) d 32) c
<u>Step-by-step explanation:</u>
31)
A = {1, 3, 5, 15}
B = {2, 3, 5, 7}
A ∪ B = {1, 2, 3, 5, 7, 15}
C = {2, 4, 6, 8}
(A ∪ B) ∩ C = {1, 2, 3, 5, 7, 15} ∩ {2, 4, 6, 8} = {2}
<em>2 is the only number in both sets</em>
32)
The pattern is: reflection, add symbol, ..., reflection, add symbol.
The last image shown is: add symbol
So the next image will be: reflection (flipped to the left)
The answer is what is shown on the phone
Answer:
Circular paraboloid
Step-by-step explanation:
Given ,

Here, these are the respective
axes components.
- <em>Component along x axis
</em>
- <em>Component along y axis
</em>
- <em>Component along z axis
</em>
We see that , from the parameterised equation , 
This can also be written as :

This is similar to an equation of a parabola in 1 Dimension.
By fixing the value of z=0,
<u><em>We get
which is equation of a parabola curving towards the positive infinity of y-axis and in the x-y plane.</em></u>
By fixing the value of x=0,
<u><em>We get
which is equation of a parabola curving towards positive infinity of y-axis and in the y-z plane. </em></u>
Thus by fixing the values of x and z alternatively , we get a <u>CIRCULAR PARABOLOID. </u>
Answer:
CD = 45
Step-by-step explanation:
CE = 180
( x + 6 ) + ( 4x - 21 ) = 180
5x - 15 = 180
5x = 195
x = 39
substitute x in CD
CD = x + 6
CD = 39 + 6
CD = 45