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:
Length and the width of the rectangle is 15.5 inches and 8.5 inches respectively.
Step-by-step explanation:
Given:
Length = 7 inches + Width
=> P = 48 inches
=> L = (7 + W) inches............. (1)
Perimeter 'P' is the sum of all sides of the rectangle 2 (L + W)
∴ 48 inches = 2 (L + W) .................(2)
Substitute for L in equation (2)
∴ 48 inches = 2 [(7 + W) + W]
48 = 2[7 + 2W]
48 = 14 +4W
48 - 14 = 4W
34 = 4W
W = 8.5 inches
Recall that: Length, L = (7 + W)
∴ L = (7 + 8.5)
L = 15.5 inches
Answer:
Step-by-step explanation:
<u>Actual question is:</u>
- logf 4(3d) + log4 1 = log4 3d
<u>Solution:</u>
- logf 4 + logf (3d) + 0 = log4 (3d)
- logf 4 + logf (3d) = log4 (3d)
<u>If we assume f = 4, then</u>
- log4 4 + log4 (3d) = log4 (3d)
- log4 4 = 0
but log4 4 = 1
Therefore the statement is False
Answer:24 red 48 yellow and 24 white.
Step-by-step explanation:
Math