Plz help -r/2 ≤ -10 plz hurry
1 answer:
Answer:
Step-by-step explanation:
We have . We can start by multiplying both sides by 2 to get rid of the fraction. This gets us to
. After, we should multiply each side by -1 to get rid of the negative variable. This gets us to
. Make sure to remember to flip the inequality sign, because if you multiply/divide by a negative number, you have to flip the sign.
I hope this helped!
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Answer: The ladder would reach 15.3 ft up the wall
Step-by-step explanation: Please refer to the attached diagram.
If the ladder (represented by line AC) rests on the wall (represented by line AB), it forms an angle of 50 with the ground (at point C). The ground is represented by line BC.
We need to remember that we have one side and one angle given in this question. The given side is the hypotenuse (the side facing the right angle, B in this case) and the given angle is the reference angle. The unknown side which is x, is the opposite as it is facing the reference angle.
Having the opposite and the hypotenuse, we can use the Sine ratio which is,
Sine C = opposite/hypotenuse
Sine 50 = x/20
Checking our table of values or by use of our calculator, sin 50 is 0.766
Sin 50 = x/20
0.766 = x/20
By cross multiplication, we now have our equation rewritten as;
0.766 (20) = x
15.32 = x
Rounded to the nearest tenth,
x = 15.3 ft
Answer:
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
- 90°
- (2x + 38)°
- (5x - 11)°
Solving according to <u>angle sum property</u>,
Sum of all angles in a triangle is 180°
90° + (2x + 38)° + (5x - 11)° = 180°
117° + 7x = 180°
7x = 180° - 117°
7x = 63°
x = 9
Angles =
2(9) + 38
56°
5(9) - 11
34°
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
The angles are 56°, 90° and 34°.