Answer:
Step-by-step explanation:
<em>Refer to attached picture</em>
- The height = h
- Angles of elevation 22.6° and 38.3°
- Closer distance = d
<u>Use tangent to solve</u>
- tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
- tan 38.3° = h/d ⇒ h = d tan 38.3° ⇒ h = 0.79d
<u>Compare the equations above and find the value of d:</u>
- 0.42(d + 17) = 0.79d
- 0.42d + 7.14 = 0.79d
- 0.79d - 0.42d = 7.14
- 0.37 d = 7.14
- d = 7.14/0.37
- d = 19.3 m
<u>Now find the value of h:</u>
- h = 0.79d
- h = 0.79*19.3
- h = 15
Wave Rock is 15 m tall
Answer:
3. 9 free throws. Proportion: 9/15
4. 18 free throws. Proportion: 18/24
Step-by-step explanation:
Multiply the number of free throws by the decimal of the percentage:
15*60%=15*.60=9
18*75%=18*.75=18.
The proportion is the number of free throws made over the total number of free throws attempted.
Hope this helps! :)
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Answer: about 4 or 5 pounds
Hello! To answer your question, on how much farther Payton drives than Jesse, you need to understand the needed operation for this problem. From the given problem, you can assume that 7 3/4 is a bigger fraction than Jesse's 6 3/8. Once you figure out which operation is needed to find out how much more Peyton drove, you want to make both mixed numbers into inproper fractions. To make a mixed number into an improper fraction, you multiple the whole number by the denometer and add the product to the numeratior. Think of it as going around a clock if that helps. Once they are both improper, give them both a common denometer (if needed). Once you do that, you use the operation you decided on earlier; multiplication, division, addition, or subtraction. If you have any other questions on my answer, or any information I've given, feel free to shoot me a message or another question. I hope this helped, good luck!