Answer:
188 degrees
Step-by-step explanation:
The measure of the arc is the center angle, that is double of the circumference one
94 * 2 = 188 degrees
1 ) Billy walks 15 miles every day to soccer practice and he had 5 practices last week.
We know that, 1 mile = 1760 yards
So, 15 miles = (15× 1760) yards = 26400 yards
Thus the total distance walked in 5 practices will be:
2) Mark's current age is years
So, his age was in 10 years ago
Given that, his current age is 3 times his age 10 years ago.
So, the equation to represent this situation will be :
Answer:
step 3 has incorrect justification.
Step-by-step explanation:
because it was combine like terms but 8 is still in left hand side. So,combine like terms 3 has incorrect justification.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = <em>x</em>
Adjacent Leg = 15
Hypotenuse = 25
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Cosine]:
- Simplify:
- Inverse Trig:
- Evaluate:
- Round:
Answers:
- rate of the plane in still air = 770 km per hour
- rate of the wind = 130 km per hour
=================================================
Explanation:
p = speed of the plane in still air (i.e. without any wind)
w = speed of the wind
---------
If the plane flies against the wind, then it slows down from p to p-w
distance = rate*time
3200 = (p-w)*5
3200/5 = p-w
p-w = 640
p = 640+w
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If the plane flies with the wind, then it gets a speed boost going from p to p+w
distance = rate*time
6300 = (p+w)*7
6300/7 = p+w
900 = p+w
Now plug in p = 640+w and solve for w
900 = p+w
900 = 640+w+w
900 = 640+2w
2w+640 = 900
2w = 900-640
2w = 260
w = 260/2
w = 130
The wind is moving at a speed of 130 km per hour
p = 640+w = 640+130 = 770
The plane moves at a speed of 770 km per hour if there isn't any wind.