Please, enclose those binomials x+4 and y+7 inside parentheses:
(x+4) / 4 = (y+7) / 7. Find (x/4).
Let's solve the above equation for x:
x+4 = 4(y+7)/7. Then x = 4(y+7) / 7 - 4
Last, divide all 3 terms by 4: x/4 = (y+7) / 7 - 1 (answer)
y + 7 - 7
You could also type this as x/4 = ------------- = y/7
7
Answer: The height of the palm tree is 21 feet.
Step-by-step explanation:
We can use a ratio to solve this:
Actual height to shadow for both objects. The fraction equivalents must be equal.
6/8 = x/28 . Cross multiply
6(28) = 8x
168 = 8x Divide both sides by 8 (8's "cancel" on the right)
168/8 =8x/8
21 = x . This gives us the tree's height as 21 feet.
<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>
<em>6/8 = 3/4</em>
<em>Then multiply the length of the shadow by 3/4</em>
<em>3/4 × 28 = height</em>
<em>28÷4 = 7 7 × 3 = 21</em>
<em>21 feet= the height of the palm tree.</em>
Yes............................
A=1/2bh
Data:
a=192 mm²
h=12 mm
therefore:
192 mm²=1/2(b)(12 mm)
192 mm²=6b mm
b=192 mm²/6 mm
b=32 mm
Answer: the measure of the base is 32 mm
