Answer: x = 6
Step-by-step explanation:
Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.
Next, we set up the proportion as follows:
Then, you cross multiply to get the equation:
After solving down algebraically, you get the value of x to be 6.
I hope this helps!
2(8-x) = 16-2x (because there are 2 width lengths in the whole perimeter (circumference).
2x+24 - 16-2x =8 (the x's cancel each other out)
8/2 = 4 (because the length is in 2 parts so they are each 4)
The length of the garden is 4m
Hope this helps :)
Answer:
A
Step-by-step explanation:
Given the roots are x = - 1, x = 0 and x = 4
Consider the graph where f(x) intersects with the x- axis at these points
The only graph is A
Using a geometric sequence, it is found that:
- The rule for the height of the nth bounce is:
- The height of the fifth bounce is of 9.28 cm.
In a <em>geometric sequence</em>, the quotient between consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which 
is the first term.
In this problem:
- Bounces to 65% of the height from which it was dropped, thus the common ratio is of
. - Dropped from 80 cm, thus, the height of the first bounce is
.
Thus, the rule for the height of the nth bounce is:
The height of the fifth bounce is 
, thus:
The height of the fifth bounce is of 9.28 cm.
A similar problem is given at brainly.com/question/11847927
10,030 this is basic math you just have to multiple the amount the manufacture in one day by how many days you are measuring.
