Answer:
1 1/7 miles
Step-by-step explanation:
Since Kenny can run 2/7 of a mile in 1/4 of a hour we can multiply 2/7 by 4 and we end up with 1 1/7 miles ran.
Each term has a common divisor of
:

133 = 7*19, so the number in the blanks is
.
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>
Answer:The base of the ladder from the tree is 28ft
Step-by-step explanation:
Using pythagorean theorem
Let 100ft= hypothesis is the right angle triangle
Let 96ft be the height of the ladder
Let x be the base of the right angle triangle between the base of the ladder and the tree
h^2=a^2+b^2
100^2=96^2 +b^2
10,000=9216 +b^2
b^2=10,000-9216
b=sqrt(784)
b=28ft