The measure of angle y is 163 degrees because the two angles are vertical angles
Answer:
height = 5.4 units
Step-by-step explanation:
r = 4.5/2 = 2.25
B = πr² = 3.14(2.25²) = 15.90
V = 1/3Bh
28.63 =1/3(15.90)h
85.89 = 15.90h
h = 5.40 units
Answer:
It will take <u>3 hours</u> for 5 examiners to mark 80 papers.
Step-by-step explanation:
Given:
Time taken by an examiner to mark 80 exam papers = 15 hours
To find time taken by 5 examiners to mark 80 exam papers.
Solution:
Applying unitary method.
One examiner takes 15 hours to mark 80 exam papers
So, in one hour he can mark = 
papers
In hour 5 examiners can mark = 
papers
So, we know 5 examiners can mark 
papers in 1 hours.
So, to mark 1 paper they will take = 
= 
of a paper
Thus, to mark 80 papers they will take = 
hours.
Thus, it will take 3 hours for 5 examiners to mark 80 papers.
Answer:
9300.75
Step-by-step explanation:
9000 + 300 + 100 * 6 / 800
According to Order Of Operations, we multiply and divide first.
9000 + 300 + 600 / 800
Divide.
9000 + 300 + 0.75
Add.
9300 + 0.75
Add.
9300.75.
Now let's examine the statements:
A)The functions have the same range:FALSE the range changed from y ≥ 0 to y ≤ 0
B)The functions have the same domains. FALSE the doman changed from x ≥ 0 to x ≤ 0
C)The only value that is in the domains of both functions is 0. TRUE: the intersection of x ≥ 0 with x ≤ 0 is 0.
D)There are no values that are in the ranges of both functions. FALSE: 0 is in the ranges of both functions.
E)The domain of g(x) is all values greater than or equal to 0. FALSE: it was proved that the domain of g(x) is all values less than or equal to 0.
F)The range of g(x) is all values less than or equal to 0. TRUE: it was proved above.
