I think the answer is 120
Answer:
x≥1 or x≤−3
Step-by-step explanation:
x+1≥2 possibility 1
x+1−1≥2−1 Subtract 1 from both sides
x≥1
x+1≤−2 Possibility 2
x+1−1≤−2−1 Subtract 1 from both sides
x≤−3
Answer:
= 604800
Step-by-step explanation:
10 permute 7
the order matters
10 x 9 x8 x7 x6 x5 x4
hope this helps
Answer: 1957 meters
Solution: 4506-2549=1957
Therefore she ran 1957 meters more on Monday than on Tuesday.
Answer:
2.2 metres squared
Step-by-step explanation:
We need to find the area of this trapezoid.
The area of a trapezoid is denoted by:
, where
and
are the parallel bases and h is the height
Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.
Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:
2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4
Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:


The answer is thus 2.2 metres squared.
<em>~ an aesthetics lover</em>