Answer:
<em>The distance from the flagpole to the tree is 27 ft</em>
Step-by-step explanation:
<u>Similar Triangles</u>
Since the elevation angle from which the trees cast their shadows has the same measure and given the tree and the flagpole and the ground form right angles, both triangles are similar.
Similar triangles have their corresponding side lengths proportional. The ratio between the distances from the bench to the tree and flagpole and their heights is constant, i.e.:

Where x is the distance from the bench to the tree.
Solving for x:

x = 45 feet
Thus the distance from the flagpole to the tree is 45 - 18 = 27 feet
Answer:
571 x 32 = 18,272
Step-by-step explanation:
Okay, multiplication was always a favorite.
Think of this, 571 thirty-two times.
Answer:
w>(-1)
Step-by-step explanation:
Answer on a number line is open circle at -1 all the way to positive 8
Answer:
$2.7
Step-by-step explanation:
Let the price of one apple be x
and the price of one orange y
Hence ;
One apple and 3 oranges would cost:
x + 3×y = $5.10----------------------------(1)
One apple and 5 oranges would cost;
x + 5×y = $7.50--------------------------(2)
Subtracting eqn (1) from (2), we have :
x-x + 5y -3y = 7.5- 5.1
2y = 2.4
y = $1.2
From eqn(1)
x + 3y = $5.10
x= $5.10-3($1.2) = $5.10-$3.6 = $1.5
Hence x=$1.5 and y= $1.2
We are required to find the cost of one apple and one orange, hence :
x+y = $1.5+$1.2= $2.7
Answer:
Thank you very much :) needed that