Answer:
86
Step-by-step explanation:
y + 28 + 58 = 180
y + 86 = 180
y = 180 - 86
y = 94
x + y = 180
x + 94 = 180
x = 180 - 94
x = 86
Answer:
Yes
Step-by-step explanation:
Hopefully this helps!
Answer:
The area of a trench is 5.5 m² .
Step-by-step explanation:
Formula
Area of a rectangle = Length × Breadth
As given
Tanya has a garden with a trench around it.

i.e

Put in the above formula

= 5 m²
As given

i.e



= 10.5 m²
Area of the trench = Area of garden with trench - Area of garden
Put the value in the above
Area of the trench = 10.5 m² - 5 m²
= 5.5 m ²
Therefore the area of a trench is 5.5 m² .
The graph has a vertex at (3, -2). It extends upward from there linearly at a slope of -1 to the left and 1 to the right. It is the graph of an absolute value function. If we assume it keeps extending upwards the domain is all real numbers. (which is what i would assume even though there's no arrows it doesn't have decipherable endpoints). The range is y ≥ -2 with y -intercept (0,1), and x-intercepts: (5,0) & (1,0).
To write the equation for this function, I would acknowledge that it is the translation of the graph of the standard absolute value function: f(x) = |x| ; right 3 and down 2. Which would be to subtract 3 from x and subtract 2 from the end.
f(x) = |x - 3| - 2
This problem is a multi step problem. All you have to do is break it down into parts to make it easier. We can start by finding the diameter of the inner circle.
1. circumference = πd (Since the circumference is given as 44, and we know to use 22/7 for π, divide 44 by 22/7 to get d.)
44 / 22/7 = about 14.0 when rounded
2. Now add +8 to the 14 since we know that there are 4 ft. on both sides of the small inner circle.
14 + 8 = 22
3) The last step gave us the diameter of the bigger outer circle. Now, we have to plug in the 22 for d in the formula for circumference to find the circumference of the outer circle.
c = πd → c = 22 * 22/7 = 484/7 (484/7 = about 69 when rounded as a decimal)
4) The last step now is to subtract the circumferences, since the problem was asking for how much greater the outer circle's circumference is than the inner circle.
69 - 44 = 25
Your answer should be about 25 ft.
********** Note the answer they are looking for may be slightly different depending on whether they were looking for a fraction or decimal answer and where they rounded. ********************************************************