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:
9.1 is the nearest tenth
9.11 to the nearest hundredth
just slightly to the right of 9.1
Step-by-step explanation:
sqrt(83)
sqrt(81) = 9
So we know that it is slightly greater than 9
9.1*9.1 =81.81
9.2*9.2=84.64
9.1 is closer
9.11 * 9.11 =82.9921
9.12 * 9.12 =83.1744
9.11 is closer
The cost of plating a rectangular jewelry box is $125, the cost of plating a similar box that is 8 times the size will be given by:
Cost=(scale factor)*(price)
Cost=125×8
Cost=$1000
Answer:$1000
2 + 3x = 17
2 + 3(5) = 17
2+ 15 = 17
