Answer:
The answer is 3030.72 m³
Step-by-step explanation:
Please refer to attached file for graphical representation.
Formulas used:
Area = (a*b)/2
Trigonometry: Tan (t) = opposite/adjacent
Assume:
Villager plot has 3 sides: hypotenuse=C, adjacent=A, opposite=B
Plot given has 3 sides: hypotenuse=z, adjacent=y, opposite=x
Angle common between them is t.
<u>Step 1</u>:
For t:
Tan (t) = a/b
Tan (t) = 123/50
Tan (t) = 2.46
<u>Step 2:</u>
For y:
Tan (t) = y/x
2.46 = y/6
y = 2.46*6
y = 14.76
<u>Step 3:</u>
Villagers old plot area: B = (a*b)/2 = (123*50)/2
B = 3075 m³
<u>Step 4:</u>
Plot donated area: C = (x*y)/2 = (6*14.76)/2
C = 44.28 m³
<u>Step 5:</u>
Villager remaining plot:
A = B-C
A= 3075-44.28
A = 3030.72 m³
Answer:
A. 6m and 2m
E. 11.25m and 3.75m
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Verify each case
case A) 6m and 2m
therefore
The legs are proportional
case B) 8m and 5m
therefore
The legs are not proportional
case C) 7m and 3.5m
therefore
The legs are not proportional
case D) 10m and 2.5m
therefore
The legs are not proportional
case E) 11.25m and 3.75m
therefore
The legs are proportional
Answer:
b
Step-by-step explanation:
odometer reading on uncle's car>21350+2328
or > 23678
so b
Answer:
a) The number of students in your school.
Step-by-step explanation:
Quantitative and Qualitative:
- The data that can be expressed with the help of numerical are know as quantitative variable.
- Qualitative variable is the non parametric variable and numerical does not describe the data
Discrete and Continuous data:
- Discrete data are expressed in whole number and cannot take all the values within an interval.
- Continuous variable can be expressed in decimals and can take any value within an interval.
a) The number of students in your school.
Since whole numbers are used to express number of children it is a discrete and continuous data.
b) The different colors of the eyes of your classmates.
These are qualitative data and numerical are not used to express them.
c) The height of all the people in your neighborhood.
These are continuous data as height is measured and can be expressed in decimals.
d) The acceleration of your car as you drive to school.
These are continuous data as acceleration is measured and can be expressed in decimals.
Answer:
he's not correct.
-15 = m
Step-by-step explanation:
-16 = -1 + m
-16 + 1 = m
-15 = m
Why does -1 became +1 , It is because you are adding 1 on both side so that we can cancel out the -1 and it will rest the m.
like this;
+1 -16 = -1 + m +1
-16 + 1 = (0 or nothing) + m
-15 = m