Answer:
A) 35 feet
Step-by-step explanation:
If the pole is 65 feet tall
and the wire is attached to the top of it and secured 35 feet from the bottom of it. Then the wire is 65-33=32
Answer:
1) A rectangle with width of 10 cm and length of 44 cm.
4) A rectangle with width of 9 mm and length of 45 cm.
Step-by-step explanation:
Given:
Length of the rectangle = 32 in.
Width of the rectangle = 8 in.
Now we will find the ratio of length by width.
Now we need to find from the given Option which rectangles are not similar to Carl's Rectangle.
So we will check for each.
1) A rectangle with width of 10 cm and length of 44 cm.
Now we will find the ratio of length by width.
Now we know that;
"When ratio of the dimension of corresponding rectangles are equal then the 2 rectangles are said to be similar."
Now Comparing equation 1 and equation 2 we get;
equation 1 equation 2
Hence This rectangle is not similar to Carl's rectangle.
2) A rectangle with width of 2.5 inch and length of 10 inch.
Now we will find the ratio of length by width.
Now we know that;
"When ratio of the dimension of 2 corresponding rectangles are equal then the 2 rectangles are said to be similar."
Now Comparing equation 1 and equation 2 we get;
equation 1 equation 2
Hence This rectangle is similar to Carl's rectangle.
3) A rectangle with width of 23 cm and length of 92 cm.
Now we will find the ratio of length by width.
Now we know that;
"When ratio of the dimension of 2 corresponding rectangles are equal then the 2 rectangles are said to be similar."
Now Comparing equation 1 and equation 2 we get;
equation 1 equation 2
Hence This rectangle is similar to Carl's rectangle.
4) A rectangle with width of 9 mm and length of 45 cm.
Now we will find the ratio of length by width.
Now we know that;
"When ratio of the dimension of corresponding rectangles are equal then the 2 rectangles are said to be similar."
Now Comparing equation 1 and equation 2 we get;
equation 1 equation 2
Hence This rectangle is not similar to Carl's rectangle.
Answer:
b= 2 is the solution for the given equation.
Step-by-step explanation:
Here, the given expression is:
Simplifying Left side, we get
=
Also, by ALGEBARIC IDENTITY:
So,
So, LHS becomes
Compare both Left side, Right side we get
=
or, 7(b-3) + 5(b+3) = 10b -2
⇒ 7b - 21 + 5b + 15 = 10b -2
or, 12b - 10b = 6-2
or, 2b = 4 ⇒ b = 4/2 = 2
⇒ b= 2 is the solution for the given equation.