The question is missing important data. The quadrilateral having vertices A, B, C and D is a cyclic quadrilateral.
Answer:
B) 85°
Step-by-step explanation:
Given:
A cyclic quadrilateral with ∠A is 95° and ∠B is 105°.
For a cyclic quadrilateral, the sum of the opposite interior angles is equal to 180°
Therefore, sum of angles A and C is 180°.
Therefore, the correct option is option B) 85°
Answer:
The volume is: 
cubic units
Step-by-step explanation:
Volume of a solid:
The volume of a solid, given by the function f(x), over an interval between a and b, is given by:
y = x, y =1, x = 0
This means that the upper function is y = 1, and the lower function is y = x. So
The lower limit of integration is x = 0.
The upper limit is y = x when y = 1, so x = 1.
Then
Answer:
y^2+8y+16
Step-by-step explanation:
6y^2 +2y +5 - ( 5y^2 -6y-11)
Distribute the minus sign
6y^2 +2y +5 - 5y^2 +6y+11
Combine like terms
y^2+8y+16
Answer:
34% of lightbulb replacement requests numbering between 47 and 52
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 52
Standard deviation = 5
Between 47 and 52:
52 is the mean and 47 is one standard deviation below the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.
Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).
So
34% of lightbulb replacement requests numbering between 47 and 52
Answer:
51,800 rupees
Step-by-step explanation:
Cost of 5 grams of gold on 1 May 2012 = 14 000 rupees.
The cost of gold decreased by 7.5% from 1 May 2012 to 1 May 2013
Cost of 5 grams of gold on 1 May 2013 = 14,000 - 7.5% of 14,000
= 14,000 - 0.075 × 14,000
= 14,000 - 1,050
= 12,950 rupees
Work out the cost of 20 grams of gold on 1 May 2013
Since, there are four 5 grams of gold in 20 grams of gold
Therefore,
Cost of 20 grams of gold on 1 May 2013 = 12,950 rupees × 4
= 51,800 rupees
