Answer:
40 ft squared
Step-by-step explanation:
On the top right corner cut the shape and you will have a length of 4 ft and width of 2 ft. 4ft x 2ft = 8ft squared. Now your other shape at the bottom which would be a big rectangle has a width of 8ft and a length of 4ft. 8ft x 4ft = 32 ft squared. Now 8ft squared + 32 ft squared = 40 ft squared that would be its area.
The division between two numbers is positive if and only if they have the same sign. So, this fraction is positive if numerator and denominator are either both positive or both negative.
For this reason, you want to study the sign of numerator and denominator separately first.
As for the numerator, you have
![3x+8 \geq 0 \iff 3x \geq -8 \iff x \geq -\dfrac{8}{3}](https://tex.z-dn.net/?f=%203x%2B8%20%5Cgeq%200%20%5Ciff%203x%20%5Cgeq%20-8%20%5Ciff%20x%20%5Cgeq%20-%5Cdfrac%7B8%7D%7B3%7D%20)
Similarly, for the denominator you have
![x-4 > 0 \iff x > 4](https://tex.z-dn.net/?f=%20x-4%20%3E%200%20%5Ciff%20x%20%3E%204%20)
(note that we used strict inequality for the denominator, since it can't be zero).
So, the sign of the fraction works like this:
- If
both numerator and denominator are negative (or, at most, the numerator is zero if
), so the ratio is greater than or equal to zero. - If
the numerator is positive and the denominator is negative (or, at most, the numerator is zero if
), so the ratio is less than or equal to zero. - If
both numerator and denominator are positive, so the ratio is greater than or equal to zero.
Answer:
x ≤ 10
Step-by-step explanation:
8 ≥ -2 + x
x + -2 ≤ 8
x - 2 ≤ 8
x - 2 + 2 ≤ 8 + 2
x ≤ 10
hope this helped!
Answer:
Step-by-step explanation:
a) angle CAD= angle ODA ( in triangle OAD, OA=OD(same radius) angels opp to equal sides are equal)
hence angle CAD=42
b)angle b =90(angle subtended by diameter)
hence using angle sum property in triABC,
angle ACB=66-------------eq4
c) in tri OAD,
Angle AOD=180-(42+42)-------(using angle sum prop.)
=> 96-----------------eq1
angleACD=1/2 Angle AOD ( angle subtende by an arc at centre is double the angle subtended...)
hence angle ACD =1/2 x 96(from eq1)
angleACD=48--------------eq3
from eq 3,and eq4,
angle BCD= 48+66
=114 degree...
hope this helped you........pls mark brainliest