Answer:
Option D, AP
Step-by-step explanation:
<u>The two sides that are connected by the right angle are called the sides. The longest one that is not connect with a right angle is called the hypotenuse.</u>
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In this case, the sides are AZ and PZ. <em>The hypotenuse is AP</em>
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Answer: Option D, AP
Answer:
6,535.06 feet
Step-by-step explanation:
The set up is right angles
hypotenuse = 7000feet
angle of elevation = 21 degrees
Required
horizontal distance (adjacent)
Using SOH, CAH TOA trig identity
cos theta = adj/hyp
cos 21 = adj/7000
adj = 7000 cos 21
adj = 7000(0.9336)
adj = 6,535.06
Hence the HORIZONTAL distance until the plane flies over the island is 6,535.06 feet
Answer:
2x^2 +15x = 6
Step-by-step explanation:
the form of this equation makes it easier to use the completing the square method
Answer:
f(g(2)) = 22
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x + 1
g(x) = 2x² - 1
<u>Step 2: Find g(2)</u>
- Substitute: g(2) = 2(2)² - 1
- Evaluate: g(2) = 2(4) - 1
- Multiply: g(2) = 8 - 1
- Subtract: g(2) = 7
<u>Step 3: Find f(g(2))</u>
- Define: g(2) = 7
- Rewrite: f(7)
- Substitute: f(7) = 3(7) + 1
- Multiply: f(7) = 21 + 1
- Add: f(7) = 22
And we have our final answer!
Mia has 4 quarts of apple juice.How many cups does she have?