Answer:
C
Step-by-step explanation:
(x+2)² + (y-3)² = 3²
x² + y² + 4x - 6y + 4 + 9 - 9 = 0
x² + y² + 4x - 6y + 4 = 0
I feel you, headaches suck.
Your answer would be h ≤ 8/7
Step 1 :
2
Simplify —
7
Equation at the end of step 1 :
h 2
— - — ≤ 0
4 7
Step 2 :
h
Simplify —
4
Equation at the end of step 2 :
h 2
— - — ≤ 0
4 7
Step 3 :
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 4
The right denominator is : 7
After calculating the multipliers you get h ≤ 8/7
Hope this helps!
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Answer:
Area of a trapezium = 1/2(a+b)×h
where a and b are parallel sides of the trapezium
h is the height
First question
We must first find the height of the trapezium using Pythagoras theorem
That's
h² = 8² -3²
h =√ 64 - 9
h = √ 55m
a = 7m
b = 10+3 = 13m
Area of the trapezoid = 1/2(7+13)×√55
= 1/2×20×√55
= 74.16
= 74m² to the nearest tenth
Second question
We use sine to find the height
sin30° = h/12
h = 12 sin 30°
h = 6 in
Let the other half of the parallel side be x
To find the other half of the parallel side we use Pythagoras theorem
That's
x² = 12²- 6²
x = √144-36
x = √108
x = 6√3 in
So for this trapezoid
a = 9 in
b = (9 + 6√3) in
h = 6 in
Area of the trapezoid = 1/2(9 + 9+6√3) × 6
= 1/2(18+6√3)×6
= 85.176 in²
= 85 in² to the nearest tenth
Hope this helps you
Answer:
The correct answer is the last on that’s states: it is not a valid sample because it is not a random sample of the population.
Step-by-step explanation:
When a researcher wants to know about the same thing, he/she has to take a sample from the population.
Example, consider a researcher wants to know how many hours the students study at home in a week, so the researcher has to take the sample from the student population.
Here, he/she gives the advertisement and offers $10 for 10 people. Therefore for anyone can come they might not required for a particular study.
Therefore, the answer is the last one.
