Answer:
C. 30°
Step-by-step explanation:
4/d = 2/6
4*6= 2*d
24=2d
d=12
(r-3)/10=r/13
13(r-3)=10r
13r-39=10r
3r=39
r=13
Its absolute value so the negative on the inside would change to positive, so the answer would remain -7 and 3/5. same with the other one, except you multiply the 3 to the -1, making it -3
Answer:
40 square metres
Step-by-step explanation:
The shaded region is of a triangle, whose area is denoted by: A = (1/2) * b * h, where b is the base and h is the height.
Since the left figure is a square with side lengths 10, we know that the height of the triangle is also 10 metres. The right figure is a rectangle with length 4. Since the total base length of the entire figure is 18 and the base of the square is 10, then the width of the rectangle is 18 - 10 = 8 metres.
This width is also the base of the triangle, so b = 8.
Now plug these values into the equation:
A = (1/2) * b * h
A = (1/2) * 8 * 10 = (1/2) * 80 = 40
The area is 40 square metres.
Answer:
$1632
Step-by-step explanation:
Hourly pay for Diego = $10.20
Weekly hours = 40 Hours
Basic earning = 10.20 × 40 = $408
Overtime pay = 15 × Hourly rate = 15 × 10.20 = $153
Total overtime = 8 hours
Overtime earning = 153 × 8 = 1224
Total earning for the week = 408 + 1224 = $1632
