Answer: y > -1/2x + 2
Step-by-step explanation: first, in order to find the inequalities you should find the gradient by choosing two points from the line and you should you the formula m=y2-y1/x2-x1 to find the gradient.
Next, you should find the y-intercept in order to complete the inequality it can be easily found as the y-intercept is the place where the line crosses the y axis
Then you create your equation { y = -1/2x + 2 } and then if above the line is shaded then it is {> greater than} and if below the line is shaded then it should be {< less than}
(so you should replace the equation with the lesser or greater sign according to the way the graph is shaded)
Answer:
34
Step-by-step explanation:
Straight lines are 180 degrees, so the angle inside of the triangle next to the 127, is 53 degrees. (180-127= 53)
So to find "x", we need to figure out what the full number is.
59+53 = 112.
180-112= 68.
Now that we have the degree of the full angle, we can make an equation to find x.
x*2 = 68
(Divide 2 from both sides to isolate the variable)
x = 34
I hope this helped!
Answer: 5 inches
Step-by-step explanation:
Given: Volume of clay = 48 cubic inches
If we make a solid square right pyramid with a base edge a= 6 inches.
Then its base area = 
we know that volume of square right pyramid=
Therefore, volume of square right pyramid made by all of clay==48 cubic inches
![\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}](https://tex.z-dn.net/?f=%5CRightarrow%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5C%20%2836%29%5Ctimes%5C%20h%3D48%5C%5C%5CRightarrow12h%3D48%5C%5C%5CRightarrow%5C%20h%3D4%5C%20inches.....%5Ctext%7B%5BDivide%2012%20on%20both%20sides%5D%7D)
Now, slant height 
The slant height of the pyramid if Helen uses all the clay=5 inches
Answer:
see explanation
Step-by-step explanation:
Using the Pythagorean identity
cos²A + sin²A = 1 ( divide terms by cos²A )
+ 
= 
, that is
1 + tan²A = sec²A ← as required
1- 3/4
2- 64
3- 18
4- 36
5- 10
6- 3/4
7- $4.70
8- <
9- =
10- =
