Answer: The height of the palm tree is 21 feet.
Step-by-step explanation:
We can use a ratio to solve this:
Actual height to shadow for both objects. The fraction equivalents must be equal.
6/8 = x/28 . Cross multiply
6(28) = 8x
168 = 8x Divide both sides by 8 (8's "cancel" on the right)
168/8 =8x/8
21 = x . This gives us the tree's height as 21 feet.
<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>
<em>6/8 = 3/4</em>
<em>Then multiply the length of the shadow by 3/4</em>
<em>3/4 × 28 = height</em>
<em>28÷4 = 7 7 × 3 = 21</em>
<em>21 feet= the height of the palm tree.</em>
Answer:
<h2>11 units</h2>
Step-by-step explanation:
Method 1:
The formula of a distance between two points:

We have the points (7, 2) and (-4, 2). Substitute:

Method 2:
Look at the picture. Mark points in the coordinate system.
Read the length of the segment.
Answer:
List the factors of 450
1,450
3,150
5,90
6,75
9,50
10,45
15,30
18,25
The factor with the sum of 43 is 18+25
25-18=7 so the difference is 7
hope this helps
Step-by-step explanation:
The answer is
(x+10)(x-3)