Answer:
x ≥ 1 (how to graph is listed below)
Step-by-step explanation:
To find where we need to plot the line, we first need to solve the inequality for x:
-2x - 3 ≤ -5
(Add three to both sides)
-2x ≤ -2
(Divide both sides by -2, but we can't forget that whenever we multiple or divide by a negative number, the sign flips!)
x ≥ 1
To graph this on the number line, you would put a dot on the 1 and fill it in completely (you fill in the dot for a "___ and equal to" sign. ex. ≥, ≤)
Then you would make an arrow from the dot to the right on the number line (this is because x must be greater than or equal to 1, so it must be facing in that direction)
Answer:
The total weight of the metal bar in pounds is 25 pounds
Step-by-step explanation:
Now, we have a metal bar which has a content of 60% zinc corresponding to 15 pounds.
Mathematically, let’s say the total weight of the metal composite is x pounds. It is 60% of this that is 15 pounds which is the content of the zinc
Mathematically;
60/100 * x = 15
60x = 15 * 100
60x = 1500
x = 1500/60
x = 25 pounds
Answer:
AB = AH
Step-by-step explanation:
Hope This Helps!!
Answer:
-5/2
Step-by-step explanation:
7=intersect of y
-5/2=Slope
Answer:
<h3>11.8 feet</h3>
Step-by-step explanation:
Given
Length of the ladder = 12foot
angle of elevation = 80 degrees
Required
Height of the wall (opposite side)
The set up will form a right angled triangle where
length of the ladder is the hypotenuse
height of the wall is opposite;
Using SOH, CAH, TOA trig identity
According to SOH
sin 80 = opp/hyp
sin80 = opp/12
opp = 12sin80
opp = 11.82 feet
Hence the height of the wall is 11.8feet (to the nearest tenth)
