Answer:
R = 6
Step-by-step explanation:
Given the equation of the line is 2x - Ry = 30
We know that the equation of a line with a as x-intercept and b as y-intercept is 
Now convert the above given line to the standard form
Divide the line by 30 we get


Here the y-intercept is 30/R
Given y-intercept = 5

R = 6
Answer:
14800
Step-by-step explanation:
The formula for simple interest (I) in terms of principal (P), rate (R) and time (T) is given as follows;
I = P x R x T / 100 ------------- (i)
Given:
Principal (P) = Initial amount being put into the account = 10000
Rate (R) = The interest rate being offered by the account manager = 4%
Time (T) = Time taken = 12 years
Substitute these values into equation (i) as follows:
I = 10000 x 4 x 12 / 100
I = 4800
Therefore, the initial amount will yield an interest of 4800 for those 12 years.
The total amount the employee will thus have in 12 years will be the sum of the initial amount and the interest. i.e
Amount = P + I
Amount = 10000 + 4800
Amount = 14800
Diagonal of the parallelogram divides the parallelogram in to two equal areas.
So area of parallelogram = 2(area of triangle)
According to the given diagram,
AB= 8, AD = 5 and BD = 11
So according to the Heron's formula,
Area of triangle = 
and a, b and c are the three sides of the triangle
Area of triangle ABD =
So, area of parallelogram ABCD = 2(area of triangle ABD)
area of parallelogram ABCD = 2 (18.33)
area of parallelogram ABCD = 36.66
area of parallelogram ABCD = 36.7 sq. units
Answer:
63
Step-by-step explanation:
score 75 is one standard dev below the mean ====>to the mean encompasses approx 34% of scores
.34 * 186 = 63
Answer:
Step-by-step explanation:
11 no
46+4x=90 degree(being perpendicular)
4x=90-46
x=44/4
x=11
12 no
They are complementary angles
6 no
angle B+27=180 degree(being straight line)
angle B=180-27
angle B=153
10 no
angle 38 +angle DFE=180 degree(being supplementary)
angle DFE=180-38
angle DFE=142 degree
5 no
They are vertically opposite angles.
7 no
angle AGF and angle CGD (because they have common arm and vertex)