Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
tangent Ф = Opposite side / Adjacent side
-Substitution
tan Ф = (x/4) / x
-Simplification
tan Ф = x / 4x
tan Ф = 1/4
- Find Ф
Ф = tan⁻¹(1/4) = 14°
- Find the other acute angle
The sum of the internal angles in a triangles equals 180°
Ф + Ф₁ + 90° = 180
-Solve for Ф₁
Ф₁ = 180 - 90 - 14
-Result
Ф₁ = 76°
Answer:
what are you asking?
Step-by-step explanation:
Answer:
Question 1 : The answer is 143.3 miles
Question 2 : The answer is 120 minutes
Step-by-step explanation:
1.Based on the give conditions:
2. 90 miles = 75min
143.3 ÷ 90 = 1.6
75 × 1.6 = 120
so the answer is 120 min
Answer:
Once the equation is in standard form, factor the quadratic expression. 2x2 + 7x + 3 = 0 (2x + 1)(x + 3) = 0. Using the Zero Product Property set ...
2x2 + 7x = -3
2x2 + 7x + 3 = 0
Once the equation is in standard form, factor the quadratic expression.
2x2 + 7x + 3 = 0
(2x + 1)(x + 3) = 0
Using the Zero Product Property set each factor equal to 0 and solve for x.
2x + 1 = 0
2x + 1 - 1 = 0 - 1 x + 3 = 0
2x = -1 x + 3 - 3 = 0 - 3
2x 2 = -1 2 x = -3
x = -1 2
The solutions to the equation are -1 2 and -3.
Tank calculations :
Volume = 1/4(4/3 * pi * r^3)
r= 70 feet.
Volume = 1/4(4/3 * 3.14 * 70^3)
Calculating the values:
Volume = 359,000.67 ft.cubed
No we divide the actual radius by 6 to get the volume of scale model.
Hence,
6^3 = 216 times smaller.
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