A man is 5 ft tall 10 inches tall.
We have to determine the height of a man in centimeters.
Since 1 feet = 30.48 cm and 1 inch=2.54 cm
To convert feet into cm, we will multiply the given feet by 30.48 and to convert inches into cm, we will multiply given inch by 2.54.
5 feet 10 inches
=
= 152.4 cm + 25.4 cm
=177.8 cm
Therefore, a man is 177.8 centimeters tall.
Now, a man weighs 160 lbs. We have to determine its mass in kilograms.
Since, 1 pound(lb) = 0.45 kg
To convert pound into kilogram, we will multiply the given pound by 0.45.
Therefore,
160 lb = 
= 72 kg
Therefore, the mass of a man is 72 kg.
Answer:
To create function h, function f was translated 2 units to the right, translated 4 units down and reflected across the y-axis.
Step-by-step explanation:
Since f(x) = x^3 is transformed to h(x) = -(x+2)^3-4, by
1. Adding 2 to x in x³ to give f'(x) = f(x + 2) = (x + 2)³.
2. We now translate f(x + 2) down by subtracting 4 from f(x + 2) to give
f''(x) = f'(x) - 4 = f(x +2) - 4 = (x + 2)³ - 4.
3. We now reflect f'(x) across the y-axis by multiplying (x + 2)³ by -1 to get
h(x) = -(x + 2)³ - 4.
Answer:
There are 1,679,616 ways to answer the test
Step-by-step explanation:
Here, we want to get the number of ways to answer the test
From the question, we have that there are 8 questions, with each having 6 possible answers
Hence, the total number of answers to pick from is 8 * 6 = 48
We are to pick 6 out of this total 48, with 1 option per question
So in the first, we are picking 1 out of 6
The number of ways here is;
6 C 1 = 6 ways
The next, we have 6 ways also , up to the 8th question
So, the total number of ways will be;
6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 = 6^8 =
1,679,616
Answer: 4th figure , where XY is a line.
Step-by-step explanation:
- There are 3 undefined terms : 1) point 2) line 3 ) plane
From up to down, The first figure is representing ray( end point at X ) which is an defined term and it is defined as "A ray is a line with one end point."
The second figure is representing a line segment with 2 end-points at X and Y and it is and defined term and it is defined as "A line segment is a line with 2 end points."
The third figure is a joint of two rays and they are making an angle which is again an defined term.
The last figure is representing a line which has no endpoints and is an undefined term.
Hence, the last figure is representing an undefined term "line".
Answer: b:70
Step-by-step explanation:
x^2=100
100 - (2*10 + 2*5 )= 100 - (20 + 10)
100 - 30 = 70
YAY! 70!
