Answer:
95
Step-by-step explanation:
Formula -
Triangle Area - 1/2bh
Square - l x w
Triangle - 5 x 7 = 35/2 = 17.5
Since there are four triangle, we will multiply 17.5 x 4 which is equal to 70
Square - 5 x 5 = 25
Now we add both 70 and 25 which is 95
So the total surface area is 95
Answer:
3/14
Step-by-step explanation:
6/7 ÷ 4
Copy dot flip
6/7 * 1/4
Rewriting
6/4 * 1/7
Divide the top and the bottom of the first fraction by 2
3/2 * 1/7
3/14
Answer:
a) m<F = 70
b) AB = 6
Step-by-step explanation:
a)
Since this is an isoceles triangle, the base angles are equal so:
2x + 40 = 180
2x = 140
x = 70
b)
Since all of the angles are equal, this is an equilateral triangle. This also makes all of the sides equal and the same.
Answer:
absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12
Step-by-step explanation:
I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)
So an absolute value inequality must be written like this:
| x - a | *inequality* b
a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.
Now, you will have this:
|x - 3| *inequality* 9
Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).
So now we're at:
|x - 3| > 9
To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:
x<-6 and x>12
Hope this is helpful!
