Answer:
82.8424 feet
Step-by-step explanation:
The leaf, the base of the tree and the top of the tree form a triangle.
The adjacent cathetus to the 46 degrees angle is 80 feet. The opposite cathetus to the 46 degrees angle is the tree height that we want to know. So, using the relation between the opposite cathetus and the adjacent cathetus (so the tangent of the angle), we can find the tree height (h):
tan(46) = h/80 = 1.0355
h = 80*1.0355 = 82.8424 feet
The formula for the area of a trapezium is as follows:
<span>area=<span>12</span>(a+b)h
</span>
Let a be the shorter base. Then a = h + 3.
Let b be the longer base. Then b = h + 7.
Substituting these values for a and b in the general formula gives:
<span>
area = 225 = <span>12</span>(h+3+h+7)h = <span>h^2</span>+5h</span>
So you need to solve the following quadratic:
<span><span>h^2</span>+5h−225=0</span>
Step 1: Use quadratic formula with a=1, b=5, c=-225.
<span>h=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>h=<span><span><span>−<span>(5)</span></span>±<span>√<span><span><span>(5)</span>2</span>−<span><span>4<span>(1)</span></span><span>(<span>−225</span>)</span></span></span></span></span><span>2<span>(1)</span></span></span></span><span>h=<span><span><span>−5</span>±<span>√925</span></span>2</span></span><span><span>h=<span><span><span>−5/</span>2</span>+<span><span><span><span>5/2</span><span>√37</span></span><span> or </span></span>h</span></span></span>=<span><span><span>−5/</span>2</span>+<span><span><span>−5/</span>2</span><span>√37
</span></span></span></span>Answer:<span><span>h=<span><span><span>−5/</span>2</span>+<span><span><span><span>52</span><span>√37</span></span><span> or </span></span>h</span></span></span>=<span><span><span>−5/</span>2</span>+<span><span><span>−5/</span>2</span><span>√<span>37</span></span></span></span></span>
Answer:
The quotient of any two numbers can be written as:
A/B
such that:
A, B ∈ {R}
Where {R} is the set of all real numbers.
But we also have the restriction that the denominator, B in this case, must be different than zero.
So we can define the set:
{R \ {0}}
As the set of all the real numbers minus the element 0.
So in this set we do not have the number zero, so now we can write our expression as:
A/B
A ∈ {R}, B ∈ {R \ {0}}
Answer:
10 lbs
Step-by-step explanation:
25 is to 5 as x is to 2
25/5 = x/2
2 * 25/5 = x = 10 lbs
Answer:
the first answer
Step-by-step explanation:
