Answer:
Proportion states that the two fractions or ratios are equal.
Given the statement: A 36-foot-tall tree casts a 9-foot shadow.
To find the height of the nearby tree that cast a 14 foot shadow at the same time.
Let x be the height of the nearby tree.
By definition of proportion;

Substitute the given values we get;

Simplify:

Multiply both sides by 14 we get;
foot.
therefore, the height of the nearby tree is, 56 foot.
Answer:
Step-by-step explanation:
i) the length of each side of the block is 154m.
ii) the block is a square block
iii) so the perimeter of the square block will be = 4 × length of one side.
iv) Therefore the perimeter of the square block is = 4 × 154 m = 616 m.
Step-by-step explanation:
For a geometric sequence,

1. The sequence is :
3, 13, 23, 33,...

It is not geometric. It is false
2. The sequence is :
5, -25, 125, -625

So, the sequence is geometric as the common ratio is same. It is true.
Answer:
$9.08
Step-by-step explanation:
$8.25+$15.67+$11= $34.92
$44 - $34.92= $9.08
Answer:

Step-by-step explanation:
Notice how each congruent square is divided into four equal parts. Since each square has four parts and there are four squares, there are
of these parts in total. Because each of these parts make up
of each square, all parts are equal. Therefore, you can count the total number of shaded parts to get your percentage.
The top left and bottom right both have one part shaded each for a total of
parts.
The top right and bottom left have
and
parts shaded, respectively, for a total of
parts.
Therefore, in total, there are
parts shaded out of
total parts.
Thus, the percentage of the total area that is shaded is:
.