The <em>correct answer</em> is:
14 ft.
Explanation:
Let x be the height of the street lamp. This is one leg of a right triangle.
The other leg is formed by the combination of the length of the shadow and the distance Dr. Black is standing from the lamp. This is 5+20 = 25.
The angle of elevation is 30°. Comparing the given sides to this angle, we have the side opposite the angle (x) and the side adjacent to the angle (25). We know that opposite/adjacent is the ratio for tangent; this gives us the equation:
X=4 and y=2 Hope this helps
Answer:
x=1, y=4
Step-by-step explanation:
5x+y=9
10x-7y=-18
To solve by elimination, we pick a variable to eliminate, or get rid of. I will multiply the first equation by -2 so we can get rid of x
-2( 5x+y)=9
*-2
-10x -2y = -18
Now we add this equation to the second equation
-10x -2y = -18
10x-7y=-18
-------------------------
-9y = -36
Divide each side by -9
-9y/-9 = -36/-9
y =4
We still need to solve for x
5x+y=9
Put in y=4
5x+4 = 9
Subtract 4 from each side
5x +4-4 = 9-4
5x = 5
Divide each side by 5
5x/5 = 5/5
x=1
Answer:
240 grams
Step-by-step explanation:
Tara uses:
- of rice
- 500 g of vegatables
- 410 g of meat
In total, Tara uses
of ingredients.
She is making dinner for 9 people, so the weight of each serving is
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
Let x represent the number of adults who swam at the pool. Then (262-x) is the number of children. Multiplying these numbers by the corresponding admission charge will give the associated receipts. We are given the total of receipts, so we can write the equation ...
... 2.00x +1.50(262-x) = 470.00
... 0.50x +393.00 = 470.00 . . . . . simplify
... 0.50x = 77.00 . . . . . . . . . . . . . . .subtract 393
... 77.00/0.50 = x = 154 . . . . . . . . . divide by the coefficient of x
... (262-x) = 108 . . . . . . . . . . . . . . . .find the number of children admitted