Answer:
Step-by-step explanation:
Let x represent the sun's angle of elevation.
We have been given that a 6-foot tall man casts a shadow that is 12 feet long.
Upon looking at our attachment we can see that man and his shadow forma a right triangle with respect to ground, where height of man is opposite side and his shadow is adjacent side.
Since tangent relates opposite side of a right triangle with adjacent, so we can set an equation as:
Using arctan we will get,
Therefore, the measure of the sun's angle of elevation is 27 degrees.
The answer to your first question would be B, because in the word problem it says that she buys 6 pots, so therefore we can eliminate A and C. We are left with B and D. Now looking at the second equation, we see that x represents the 5 inch pots, which are $12. This would mean 12x, because if she bought 1 5 inch pot, she would spend $12, and the same way, 10 inch pots are represented by y, or $15. Pretty much, multiply the number of 10 inch pots she buys by 15. Therefore the answer is B.
Question 3 says that the sum of their ages are 105. So the first equation should be S + R = 105. The second part of the question says that Sara is 33 years younger than Rolando. This means 33 + Sara's age, represented by S, should equal Rolando's age. That is S + 33 = R.
Hope this helps. Please rate, leave a thanks, and mark a brainliest answer (Not necessarily mine). Thanks, it really helps! :D
53.65 gallons → B
Since the tanks are equal in size then to find the volume of 1 tank
divide the total by 12
one tank = 
= 53.65
Let f(x) represents function that tells us Derek's earning depending on square feet of lawn mowed which is x.
First we construct function:
f(x) = x/1000 * 1 + 30
x/1000 is a number that tells us the number of mowed units. for x = 1000 square feet he earns 1 dollar that is why we have to divide x by 1000.
if he earned 204 first week that means that x =:
204 = x/1000 + 30
x/1000 = 174
x = 174 000
if we check for each week that he worked we will see that square footage of the lawns he mowed match forth (last) option.
Answer is D.
Answer:
25.9365
Step-by-step explanation:
