A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32
Answer:
here is your answer
Step-by-step explanation:
here is your answer
To find the lateral area you will find the area of all 4 faces that are perpendicular to the base.
You will multiply the side by the length (front/back) and the side by the width (sides).
12 x 8 = 96
12 x 2 = 24
120 square inches x 2 = 240 square inches
The lateral area is 240 square inches.
The area of the base is 8 x 2 = 16 square inches.
16 x 2 = 32 square inches
240 square inches + 32 square inches = 272 square inches is the surface area.
In order to solve this exercise you need to remember the following symbols in Inequalities:
1. The meaning of this symbol is "Greater than":

2. The meaning of this one is "Less than":

3. The following symbol means "Less than or equal to":

4. And this one means "Greater than or equal to":

Knowing the above, you can determine that the statement "c is less than 6", can be written as the following inequality:

The answer is:
Answer:
she can knit 1/2 a yard of a blanket in 1 hour.
So it would look like this
1/2 a yard of blanket
-----
1 hour
It would be, she can knit one half of a yard of blanket in one hour
one half over oner hour