Two of the three sides of a triangle are 20 and 15. Which of the following numbers is not a possible perimeter of the triangle?a. 52
b. 57
c. 62
d. 67 e.72
Answers
1st side = 15
2nd side = 20
3rd side = ?
We will use a triangle inequality where the 3rd side is greater than the difference of the two sides and less than the sum of the two sides.
20 - 15 < x < 20 + 15
5 < x < 35
If x = 5 ; then the perimeter would be 5 + 15 + 20 = 40
if x = 35, then the perimeter would be 35 + 15 + 20 = 70
So the perimeter is within the range of 40 and 70.
Among the choices, E. 72 is outside the range. Therefore, it is not a possible perimeter of the triangle.
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Answers
4 in.
actual width:
18 ft
actual length: 16 ft
The plan width is
in.
Answers
Answer:
4.5 inches
Step-by-step explanation:
Given: plan length = 4 inches, actual width = 18 feet, actual length = 16 feet
To find: plan width
Solution:
1 feet = 12 inches
Plan length = 4 inches
Actual width = 18 feet= 18× 12 = 216 inches
Actual length = 16 feet = 16× 12 = 192 inches
Plan length/plan width = actual length/actual width
Answers
Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer.
What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?
Answers
Answer:
18 litres
Step-by-step explanation:
The formula for the remaining volume of fuel in a car's tank is expressed as;
V = I - E.D
where;
I is the initial volume of fuel,
E is the fuel efficiency, and;
D is the distance traveled.
Given
I = 30 litres
1m³ = 1000L
x = 30L
x = 30/1000
x = 0.03m³
I = 0.03m³
E = 100cm³/km
E = 100*10^-6m³/km
E = 10^-4m³/km
E = 10^-4m³/1000m
E = 10^-7m²
D = 120km
Convert km to metres
D = 120km = 120,000m
Substitute the results into the formula;
V = I - E.D
V = 0.03 - (10^-7)(120,000)
V = 0.03 - 0.012
V= 0.018 m³
Convert 0.018 m³ to litres
Since 1 m³ = 1000L
0.018 m³ = y
cross multiply;
y = 1000 * 0.018
y = 18 litres
Hence volume of fuel that remains in Carson's tank by the end of the drive is 18 litres
Answers
Answers
3≈33.51032 =33.51 is the answer
Longer Answer: The formula for volume of a sphere is ( 4 * pi * radius^3) / 3. So, when the radius is 2cm, then it would be ( 4 * 3.14 * 2^3) / 3. We have to do the exponents first, so 2 ^ 3 is 2 * 2 * 2 = 8. Then, we solve the rest of the expressions within the bracket, which will give us ( 100.48 ) / 3, and that equals 33.5