Answer:
Step-by-step explanation:
By the Pythagorean Theorem
17^2=8^2+h^2
h^2=17^2-8^2
h^2=289-64
h^2=225
h=15 meters
Answer:
y = kx
Step-by-step explanation:
In proportional relationships, the value of one variable increases as the other increases or decreases as the other decreases. It is denoted mathematically as y ∝ x where x and y are the variables. It follows that
y = kx where k is the proportionality constant.
So in the relationship where x represents the number of adults, and y represents the number of students,
y ∝ x and y = kx
y = kx is the required equation
P-0.40p = 0.60p
C. Decrease by 40% is the same as multiply by 60%.
Assume that p = 10
10 - 0.40(10) = 0.60(10)
10 - 4 = 6
6 = 6
Based on the above assumption. 40% of 10 is 4 ; and 60% of 10 is 6. So, 10 less 4(40% of 10) is equal to 6 (60% of 10).
Percentage is used because 0.40 and 0.60 will be multiplied with 100% to get the equivalent percentage 0.40 x 100% = 40% ; 0.60 x 100% = 60%
Answer:
x = 77.8 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Trigonometry</u>
- sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
∅ = 40°
opposite leg of angle = 50 ft
hypotenuse = x ft
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: sin40° = 50/x
- Multiply <em>x </em>on both sides: xsin40° = 50
- Divide sin40° on both sides: x = 50/sin40°
- Evaluate: x = 77.7862
- Round: x = 77.8 ft
Answer:
4.8
Step-by-step explanation:
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