Answer:
x ≥ 1
Step-by-step explanation:
Solve the inequality by solving for x.
Solve:
-4(2x + 1) ≤ 3(x - 5)
Use the distributive property.
-8x - 4 ≤ 3(x - 5)
-8x - 4 ≤ 3x - 15
Subtract 3x from both sides.
-11x - 4 ≤ -15
Add 4 to both sides.
-11x ≤ -11
Divide both sides by -11, also flip the inequality since you're dividing by a negative number.
x ≥ 1
Your final answer would be x ≥ 1
Answer:
64.87° = 65°{ to the nearest degree}
Step-by-step explanation:
From the figure Catherine is standing 105m from the point B where the Ballon is; this description fits a= 105 m from the diagram.
Similarly Aisha is standing 95m from the point B where the Ballon is; this description fits c= 95 m from the diagram
A = ? ( The angle of elevation of Aisha towards the balloon)
C = 55°
From Sine rule
It states that the sine of an angle divided by its corresponding side is equal for all corresponding angles and sides along the triangle.
This is expressed mathematically as;
Sin A/ a= SinB/ b= SinC/c
We take the pairs of relevance;
Sin A/ a = SinC/c
There SinA = SinC/c × a
=Sin55/95 × 105
= 0.9053
A = Sin^(-1)[0.9053]
A = 64.87° = 65°{ to the nearest degree}
The answer is x=3 i believe
Answer:
5.83 inches
Step-by-step explanation:
The card is a rectangular shaped object, drawing a diagonal from one corner to the other, divides the rectangle into two right angled triangles with the diagonals as the hypothenuse.
Using Pythagoras theorem.
c^2 = a^2 + b^2
Given;
Side a = 3
Side b = 5
Substituting the given values;
c^2 = 3^2 + 5^2
c = √(9+25)
c = √34
c = 5.83 inches
An=-5n+260
A40=60
So the Awnser is 60
(Hope this helped!!)