Answer:
hello : 8i
Step-by-step explanation:
√32 ×√2 i = √(32×2) i = √64 i =√8² i = 8i
Answer:
1000 represents the sample
Step-by-step explanation:
Given
Survey:
Required
What does 1000 represent?
First, we should know that 1000 adults were picked or selected from a larger number of adults.
This implies that:
The larger number of adults is the population and the 1000 selected adults represents the sample.
Answer:
4) 16√3 in²
5) 63 cm²
Step-by-step explanation:
The formula to use in these cases is ...
A = (1/2)ab·sin(θ)
where a, b are the side lengths and θ is the angle between them.
It helps to know the trig functions of the "special" angles used here.
sin(120°) = sin(60°) = (√3)/2
cos(60°) = 1/2
sin(135°) = cos(45°) = (√2)/2
__
4) The external angle at the base is the supplement of 120°, so is 60°. Then the length of the missing segment between the end of the base and the right angle at h is ...
x = (8 in)cos(60°) = (8 in)(1/2) = 4 in
So, the bottom edge of the triangle is 12 in - 4 in = 8 in.
The area is ...
A = (1/2)(8 in)(8 in)sin(120°) = (1/2)64(√3)/2 in² = 16√3 in²
__
5) As in the previous problem, the difference between the given horizontal dimension and the base of the triangle is ...
x = (18 cm)cos(180°-135°) = 18(√2)/2 cm = 9√2 cm
Then the base of the triangle is ...
16√2 cm -9√2 cm = 7√2 cm
The area is then ...
A = (1/2)(18 cm)(7√2 cm)(√2)/2 = 63 cm²
Answer:
x=-6
Step-by-step explanation:
Let's call the width 
and the length 
based on this, we can make two equations based on the first and second sentences in the problem.
If we substitute 
for into the second equation, we can make the following:
- Use the Distributive Property
- Subtract 4 from both sides
- Divide both sides by 4 and simplify
Now, let's find :
The length of the rectangle is 
and the width of the rectangle is 
.
