Answer:
x is less than or equal to 3
Step-by-step explanation:
The dot is a closed dot, which means that it is something or equal to, and the arrow is pointing down, which means less than. So the sign would be less than or equal to (sorry I don't have that sign on my computer). The dot is on three, so the inequality is x is less than or equal to 3.
Answer: Choice A) 15 feet
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x = length of fourth side in quadrilateral ABCD
Have a look at the attached image I've posted. I made a chart that lines up the side lengths from largest to smallest. Note how the first two items in the bottom row are blank. We don't know these values and we don't need to find out in order to find x.
Based on the last two columns of that table, we can form the proportion below, which is then used to isolate x.
30/12 = x/6
30*6 = 12*x ... cross multiply
180 = 12*x
12*x = 180
x = 180/12 ... divide both sides by 12
x = 15
Answer:
f(7) = 1.08
Step-by-step explanation:
Given that:
f(5) = 12
A geometric sequence that is defined recursively by the formula
.....[1 ] where, n is an integer and n> 0.
Substitute n = 6 in [1] we have;
Using f(5) = 12 we have;
⇒
We have to find f(7).
Substitute n = 7 in [1] we have;
Substitute the given values f(6) = 3.6 we have;
Simplify:
f(7) = 1.08
Therefore, the value of f(7)to the nearest hundredth is, 1.08
Using the Pythagoras theorem,
21²=4²+height²
441=16+height²
425=height²
height=√425=20.6
The ladder reaches a height of 20.6 ft on the building.
If 1/5 of the cakes are fruitcakes, then
of the cakes are sponge cakes. To convert to a percentage, we simply multiply by 100, for a result of
percent sponge cakes.