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>
<h2>
Answer:</h2>
<u>The equivalent expression is </u><u> (2 / x ^ 3) * sqrt (2)</u>
<h2>
Step-by-step explanation:</h2>
We have sqrt 8 / x ^ 6
Rewriting the expression:
=sqrt (8 / x ^ 6)
=sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))
=(2 / (x * x * x)) sqrt (2)
= (2 / x ^ 3) * sqrt (2)
We get finally
(2 / x ^ 3) * sqrt (2)
Answer:
1- 72 miles
2-$3
3- 50(0.50 x c)
Step-by-step explanation:
For Number 1 we have to do 55 divided by 60 which is about 0.90 and then we multiply that by 1 hour and 20 minutes which in minutes is 80. 0.90 x 80 = 72 exactly.
For Number 2 we have to divide 36.25 by 11.5 rounded is 36/12 whish is 3.
For number 3 c stands for number of channels
Hope i could help! :DD
Answer:
do you have a picture of the problem as well?
Step-by-step explanation:
Answer:
undefined slope
Step-by-step explanation:
The line is a vertical line
Vertical lines have an undefined slope