Answer:
C=14
Step-by-step explanation:
To find the minimum value, graph each of the inequalities. After graphing each inequality, test a point and shade the region that satisfies the inequality. Once all inequalities have been shaded, find the region where they all overlap. The region will be bounded by intersection points. Test each of these points into C=x+3y. The least value for C is the minimum.
(14,0) (0,17.5) (3.08,3.64)
C=14+3(0) C=0+3(17.5) C=3.08 + 3(3.64)
C=14 C=52.5 C=14
Answer:
B.The data are quantitative because they consist of they consist of counts or measurements.
Step-by-step explanation:
Qualitative data are those data which does not include any number. The data which has characteristic is known as Qualitative data.
Quantitative data are those data which include numbers.
Since the data of shoe sizes include numerical value. Thus it is Quantitative Data.
Answer:
A. <u>Volume = 4,523.9 mm³ (cubic mm)</u>
B. <u>Surface area = 1,658.76 mm² (square mm)</u>
Step-by-step explanation:
A. Lest's calculate the volume of the cylinder:
r = 12 mm, h = 10 mm
Volume = π * r² * h
Volume = 3.1416 * 12² * 10
Volume = 3.1416 * 144 * 10
<u>Volume = 4,523.9 mm³</u>
B. Let's calculate the surface area of the cylinder:
Surface area = 2π * r * h +2π * r²
Surface area =2π * 12 * 10 + 2π * 12²
Surface area = 6.2832 * 120 + 6.2832 * 144
<u>Surface area = 753.98 + 904.78 = 1,658.76 mm²</u>
Answer:
Step-by-step explanation:
We have that
A = 51°, b = 14, c = 6
step 1
find the value of a
Applying the law of cosines
a²=c²+b²-2*c*b*cos A
a²=6²+14²-2*6*14*cos 51-------> 126.27
a=11.2
we know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
we have
a=11.2
b=14
c=6
so
(a+b) > c-------------> (11.2+14)=25.2
25.2 > 6-----> is not correct
therefore
the answer is the option
a. No triangles possible
I don't know if i am right sorry if this is wrong
1 kilogram = 2.20426 pounds
72 kilograms = ?? pounds
To find out how many pounds 72 kilograms equals to, just multiply 72 by 2.20462.
72* 2.20462 = 158.73264
72 kilograms = 158.73264 pounds