Answer:
9 Superscript negative 3
Step-by-step explanation:
Figure GHTA below is a parallelogram. = 6 cm, = 8 cm, and the measure of = 60°. Find the area.
2 answers:
Answer:
The area of parallelogram GHTA is .
Step-by-step explanation:
Given parallelogram GHTA
GH = 8 cm =-AT
GA = 6 cm
∠ GAT =∠ GHT = 60°
To find = Area of parallelogram
Solution:
Draw perpendicular GO on the base AT.
In ΔGOA
(sin 60°=0.8660)
GO = 5.196 cm
Area of the parallelogram: GO × AT
The area of parallelogram GHTA is .
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Answer:
The solution in the attached figure
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area above the dashed line
The slope of the dashed line is positive
The y-intercept of the dashed line A is (0,3)
The x-intercept of the dashed line A is (-4.5,0)
----> inequality B
The solution of the inequality B is the shaded area below the solid line
The slope of the solid line is negative
The y-intercept of the solid line B is (0,2)
The x-intercept of the solid line B is (6,0)
The solution of the system of inequalities is the shaded area between the shaded line and the solid line
using a graphing tool
see the attached figure
Answer:
The probability that a defective rod can be salvaged = 0.50
Step-by-step explanation:
Given that:
A machine shop produces heavy duty high endurance 20-inch rods
On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.
If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.
Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20 - 15 )inches
Now:
P(X ≤ 5) =
= 0.25
P(X ≥ 15) =
= 0.25
The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)
= 0.25+0.25
= 0.50
∴ The probability that a defective rod can be salvaged = 0.50