Answer:
x=9
Step-by-step explanation:
Add similar elements: -5x+3x=-2x
-2x+15=-3
Subtract 15 from both sides
-2x + 15-15=-3-15
Simplify
-2x=-18
Divide both sides by -2
-21/-2 = -18/-2
Simplify
x=9
Answer:
x = 19, y = -5
Step-by-step explanation:
x + y = 14 => x= 14-y
2x + 4y = 18 => 2(x+2y)=18 => x+2y=9
x+2y=9 => (14 - y) + 2y = 9
14 + y = 9 => y = -5
x + (-5) = 14 => x=19
The answer is the third option.
x and y are both to the first degree so we know it makes a straight line.
Next check the ordered pairs to see which set are true in the equation.
Question:
Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.
Answer:
7.18 meters
Step-by-step explanation:
Given:
Length of rope, L = 4 m
Angle = 23°
Height of chair, H= 3.5 m
In this question, we are to asked to find the height of the pole of the swing ride.
Let X represent the height of the pole of the swing ride.
Let's first find the length of pole from the top of the swing ride. Thus, we have:

Substituting figures, we have:
Let's make h subject of the formula.

The length of pole from the top of the swing ride is 3.68 meters
To find the height of the pole of the swing ride, we have:
X = h + H
X = 3.68 + 3.5
X = 7.18
Height of the pole of the swing ride is 7.18 meters
Answer:
a. Probability = 0.15
b. Probability = 0.3
Step-by-step explanation:
Given




Solving (a): Probability of being somewhere else
This is calculated by subtracting the sum of given probabilities from 1.



Solving (b): Probability of being in bedroom or kitchen
This is calculated as:


