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Answer: Choice A) EF, EG, FG</h3>
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Explanation:
We'll use these two rules
- The smallest side is always opposite the smallest angle
- The largest side is always opposite the largest angle
This only applies to triangles.
EF is the smallest side because the angle G is the smallest angle.
FG is the longest side because it is opposite the largest angle E
That places EG in the middle.
The order of the sides from smallest to largest is EF, EG, FG
Answer:
area of the figure A is 7.5m^2
Step-by-step explanation:
figure A is the combination of rectangle and triangle.
so
area of figure A = area of triangle + area of rectangle
= 1/2 X b X h + L X b
= 1/2 X 1 X (1+1+1) + (1+1+1) X (1+1)
= 0.5 X 1 X 3 + 3 X 2
= 1.5 + 6
= 7.5 m^2
Answer:
b = 55 degrees
Step-by-step explanation:
The angles 30, a, b and 45 must sum up to 180 degrees
Subtracting (30 + 45) from both sides leaves us with a + b = 105 degrees.
But b = a + 5. Substituting a + 5 in the equation above yields
a + a + 5 = 105 degrees, so that
2a = 100 degrees, and a = 50 degrees. Then b = a + 5, or b = 55 degrees.
Answer:
h(-9) = -107
Step-by-step explanation:
h(-9) = 4(-9)2 + 3(-9) - 8 = -107
Plan A costs a total of $95 since it says $95 for unlimited talk and text.
Plan B:
(.10 x 800) + (.05 x 1000)
The (.10 x 800) represents 10 cents per talk minute for 800 minutes.
The (.05 x 1000) represents 5 cents per text message for 1000 text messages.
Solve:
.10 x 800 = 80
.05 x 1000 = 50
80 + 50 = 130
This means Plan B will cost him $130 under these conditions.
Plan C:
20 + ((.05 x 800)+(.05 x 1000))
The 20 + represents a flat rate of $20 per month.
The (.05 x 800) represents 5 cents per call minute.
The (.05 x 1000) represents 5 cents per text.
Solve:
.05 x 800 = 40
.05 x 1000 = 50
20 + 40 + 50 = 110
This means Plan C will cost him $110 under these conditions.
Plan D:
45 + (.10(800 - 500))
The 45 + represents a flat monthly rate of $45.
The (800 - 500) represents how many minutes he has to pay for with the 500 free.
The .10 is the cost per extra minute.
Solve:
800 - 500 = 300
.10 x 300 = 30
45 + 30 = 75
This means Plan D will cost him $75 under these conditions.
In short:
Plan A- $95
Plan B- $130
Plan C- $110
Plan D- $75
The least expensive among these is Plan D, which only costs $75 per month.
