Answer:
x = 110
Step-by-step explanation:
measure of abd is 35, meaning adb is also 35.
so dab + abd + adb is 180
=> x + 35 + 35 = 180
=> x + 70 = 180
=> x = 180-70
=> x = 110
110 degrees is the value of x.
Answer:
63
Step-by-step explanation:
Total groups: 21
number of students in each group: 3
total = 21 *3 =63
Carry out the mult.: f(x) = -[x^2 - 21x + 9x - 189]
Combine like terms: f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [ ]: f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c: a= -1, b=12, c=189
The equation of the axis of symmetry is x = -b/(2a), which here equals
x = -(12)/[2(-1)], or x = 6
This is also the x-coordinate of the vertex. Plug x=6 into the original equation to calculate the y-coordinate.
Answer:
The beam will bend by 50 mm with a mass of 100kg?
Step-by-step explanation:
The first step in solving the problem of direct variation is setting up the relation mathematically.
We can do this as follows:
The bending of the beam varies directly as its mass.
here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k
k = 20 /40 = 0.5
We can now use this to find the distance the beam will bend with a mass of 100kg?
This will be
There fore, the beam will bend by 50 mm with a mass of 100kg?
Answer:
The correct answer is:
C. Trisha is shorter than 75% of girls aged 16 to 18.
Step-by-step explanation:
When a dataset is divided into four equal parts, the first part is called the lower quartile. The data is usually sorted in ascending order before finding quartiles.
The lower quartile contains 25% of the whole data. The values in lower quartile are are less than 75% of the values.
If Trisha's height is in lower quartile that means her height is less than the girls in middle and higher quartile.
Hence,
The correct answer is:
C. Trisha is shorter than 75% of girls aged 16 to 18.
