

Hence the relationship between AM and CD is : AM=CD
Answer:
Option B is correct.
![5\sqrt[3]{10} + 4\sqrt[3]{10}](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B10%7D%20%2B%204%5Csqrt%5B3%5D%7B10%7D)
Step-by-step explanation:
Given the equation: ![9\sqrt[3]{10}](https://tex.z-dn.net/?f=9%5Csqrt%5B3%5D%7B10%7D)
We can write 9 as:
9 = 5+ 4
then;
![(5+4)\sqrt[3]{10}](https://tex.z-dn.net/?f=%285%2B4%29%5Csqrt%5B3%5D%7B10%7D)
Using distributive property:

Apply distributive property:
![5\sqrt[3]{10} + 4\sqrt[3]{10}](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B10%7D%20%2B%204%5Csqrt%5B3%5D%7B10%7D)
Therefore, the expression which is equivalent to
is ![5\sqrt[3]{10} + 4\sqrt[3]{10}](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B10%7D%20%2B%204%5Csqrt%5B3%5D%7B10%7D)
The scale factor of the dilation from ABCD to A′B′C′D′ is 3.
Step-by-step explanation:
Step 1:
In the pre-image ABCD, the length of one of the sides is given as 14 units.
For the other shape A′B′C′D′, the same side as the previous shape is given as 8 units.
Step 2:
To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, it is the given length of the sides CD and C′D′.
So the scale factor = 
So the shape ABCD is dilated by a scale factor of
to produce the shape A′B′C′D′.
Answer:
60 yrds
Step-by-step explanation:
√225
15
p= distance of all sides ( square p= 4x)
4(15)
60
Answer:
2110 cm³
Step-by-step explanation:
Volume = V1 + V2,
Where V1 is the volume of the pyramid, and V2 is the volume of half cylinder
V1 = ⅓×(Base area)×height
V1 = ⅓×(12.6×21.5)×8.5 = 767.55
V2 = ½×(pi×r²×h)
r = 12.6÷2 = 6.3
V2 = ½×(pi×6.3²×21.5) = 1340.415
Volume = V1 + V2
= 767.55 + 1340.415
= 2107.965
= 2110 cm³ (3 sf)