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>
: 6
:
- i just plugged in every number in.
4 + 5 > 10
9 > 10? nope.
5+5 > 10
10 > 10 ? nope.
6+5 > 10
11 > 10? YES.
Answer:
1/2 or 0.5
Step-by-step explanation:
so to find the slope of two points you use the slope formula which is rise over run, y2-y1/x2-x1. so that would be -1-0/7-9. leading to -1/-2. so the slope is 1/2 or 0.5.
an aritmetic sequence increases by the same amount each time (if it decreases, then it increases by a negative number)
the common difference is the number that must be added to a term to get the next term
let's see if it increases by the same amount
-5 to -11 is increase of -6
-11 to -17 is increase of -6
-17 to -23 is increase of -6
-23 to -29 is increase of -6
so it appears to be aritmetic
common difference is -6
-29-6=-35
-35-6=-41
-41-6=-47
the next 3 terms are -35, -41, -47
Answer:
1 and 7/24
Step-by-step explanation:
hope this helps!
