<span>n 19 -----------> AB/AC=(4/6)=2/3<span>
n 20 ------------> BC/CD=[AC-AB]/[AD-AC]=(6-4)/(9-6)=2/3
n 21-------------> BD/AE=[AD-AB]/[AE]=(9-4)/(12)=5/12
n 22 7 and 28 find the geometric mean of the two number
step 1
Multiply the two numbers together:
28*7=196
step 2
take the square root:
<span><span>sqrt(196)=14
</span>the answer is 14</span>
n 23 Simplify the ratio 10 ft/30 in---> divided between 2 both members
5 ft/15 in-----> divided between 5 both members ---> 1 ft/3 in</span><span>
n 24
<span>if AB=4 -------></span></span> AB~FG
</span><span>FG=8<span>
then
</span></span>AB*factor=FG-------- > 4*factor=8-- > factor=8/4=2
the figure ABCDE is half of the figure FGHJK
then<span>
BC=4
AE=CD=5
and
ED=6
therefore
<span>the perimeter=[4+4+5+5+6]=24 units</span></span>
Answer:
9
Step-by-step explanation:
The first simplification we can make is to replace 6^0 with 1.
The first rules of exponents we can apply are ...
<em>(a·b)^c = a^c·b^c</em> . . . . . . similar to the distributive property
<em> (a^b)^c = a^(b·c)</em>
This reduces your expression to ...

Now we can apply another two rules of exponents:
<em> (a^b)(a^c) = a^(b+c)</em>
<em> 1/a^b = a^-b</em>
Using these, we have ...

The value of the expression is 9.
Answer:
2) 2x = y + 13
Step-by-step explanation:
We have to translate the given information into an equation. We don't know what the numbers are yet, so let the first number be represented by the variable x and the second number be represented by the variable y.
Start by breaking the sentence apart. "2 times the first number" gives us
. The "is" in the sentence means that
equals something, bringing us to
. Finally, it says "13 more than the second number." 13 more would mean you have to add to the second number, represented by y, so this gives us
. Put it all together and it is
.
Answer:
B
Step-by-step explanation:
13/8 because when simplified into a decimal would be 1.625 and if you round would be 2 so you take out the decimal