Let her standard pay rate = x
She worked 40 hours for x per hour she also worked 5 hours at 1.5x ( time and a half)
Write an equation:
40x + 5(1.5x) = 1163.75
Simplify:
40x + 7.5x = 1163.75
Combine like terms:
47.5x = 1163.75
Divide both sides by 47.5
X = 24.50
Her regular hourly rate is $24.50
Answer:The scale factor is (√10) / (4)
Explanation:The complete question as well as the rule for the distance between two points are shown in the attached image.
To get the scale factor, we will follow these steps:1- Length of AB:AB = √(5-9)²+(-4-4)²
AB = √80
AB = 4√5 units
2- Length of A'B':A'B' = √(5-6)²+(-4-3)²
A'B' = √50
A'B' = 5√2
3- getting the scale factor:A'B' = k AB where k is the scale factor
5√2 = k * 4√5
k = (√10) / (4)
Hope this helps :)
The answer for this question is number 2. 125
Answer:
C
Step-by-step explanation:
∠ FHI and ∠ JHI form a straight angle and are supplementary, thus
3x + x = 180, that is
4x = 180 ( divide both sides by 4 )
x = 45
Thus
∠ FHI = 3x = 3 × 45 = 135° → C
Y = x + 3
3 x + 2 = y + 1
3 x + 2 = x + 3 + 1
2 x = 2
x = 1, y = x + 3 = 4
We have: 3 x + 2 = y + 1 and: y = x + 3.
It means that we have 4 equal triangles ( O is the centre ):
ΔTOS, ΔSOR, ΔROQ, ΔQOT.
∠ 1 = 53°
∠ 2 = (180° - 2 · 53°) : 2 = 37°
Answer: C ) 37°