Answer:
-90/11
Step-by-step explanation:
convert each mixed number into a improper fraction
27/11 - 117/11
= -90/11
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:
G represents sets of student appearing for GENERAL KNOWLEDGE
M represents sets of student appearing for MATHS
S represents sets of student appearing for SCIENCE
G ∩ M = { Max, Anael}
G ∪ S = { Max, Acel, Carl, Anael, Acton, Dario, Kai, Barek, Carlin}
Answer:
The number is 2
Step-by-step explanation:
Twice a number (z) = 2*z = 2z
Twice a number (z) added to 21 = 2z + 21
9 times the number added to 7 = 9z + 7
9z + 7 = 2z + 21
Subtract 2z form both sides
9z - 2z + 7 = 21
7z + 7 = 21
Subtract 7 from both sides
7z = 21 - 7
7z = 14
Divide both sides by 7
z = 14/7
z = 2
It’s 2 and 8 as the left end of the box is Q1 and the right end of the box is Q3. I’m a little rusty on box and whisper plots but this should be correct.
