Answer:
Option D
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. This means that the angle B is formed by the intersection of the lines a and c. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that c=71, B=123°, and a=65. Plugging in the values:
b^2 = 65^2 + 71^2 - 2(65)(71)*cos(123°).
Simplifying gives:
b^2 = 14293.0182932.
Taking square root on the both sides gives b = 119.6 (rounded to the one decimal place).
This means that the Option D is the correct choice!!!
The linear equation of relating two objects can be written in the form,
y = ax + b
Our x is the number of passenger and y is the weight (in tons). Using the first two conditions,
10 = 60(a) + b
13 = 84(a) + b
The values of a and b from the equations are 0.125 and 2.5.
For 50-passenger bus,
y = (50)(0.125) + 2.5
The value of y is 8.75.
divide the total tax by the rate
8.75% = 0.0875
4.59/.0875 = 52.457 round to 52.46
The answer would be:
The x-intercept of the boundary line is (-3/2, 0).
The area below the line is shaded.
The slope of the line should be 2/3. The area below the line shaded because the function using y<.....
Coordinate 2,3 doesn't fulfill the function.
y < 2/3x + 1
3 < 2/3(2)+1
3< 4/3+1
3< 2.3 ---->false
X intercept is when the y variable is zero. If you put it to the equation
y = 2/3x + 1
0= 2/3x+1
2/3x= -1
x= -3/2
Answer:
Options A,C and E.
Step-by-step explanation:
The given equation is
Let n be the unknown number, then
Twice a number minus nine and two-tenths is the same as the number plus four-fifths.
So, option A is correct.
Nine point two decreased by double a number is the same as the number added to four-fifths.
Nine point two less than twice a number is equal to the number added to four-fifths.
So, option C is correct.
Two times the difference of a number and nine and two-tenths is equal to the number plus four-fifths.
Double a number decreased by nine and two-tenths is the same as the sum of four-fifths and the number.
So, option E is correct.
Therefore, the correct options are A,C and E.
