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:
C
Step-by-step explanation:
in trangle NET the angles are 81 and 34 so the other angle must be 180-81-34=65, the other triangle has the same measurments for angles 81-34-65 so the triangles are similar because of AA similarity theorem
ΔHMJ~ΔNET by AA similarity
The correct answer is A.
The independent variable is time and the dependent variable is distance; this means the slope tells us how far she goes per minute. Since the slope is negative and we are referring to her distance from her house, this means the distance from her house is decreasing, which means she is getting closer to her house.
The equation to solve for p....[12p = 420]
Then divide both sides by 12.
And your answer....[p = 35]
The answer depends on what type of interest. If you are using compound interest, then the interest is different every year, as the amount you earn goes up because the amount you have in the bank goes up. Simple interest is the opposite, as you earn one amount each year, and it does not change.
So.....
Simple Interest:
0.12 * 150 = 18
18 * 8 = 144
144 + 150 = $294
Compound Interest:
150(1 + 0.12)^8
150 * 1.12^8
150 * 2.475 = $371
