Answer:
1/12
Step-by-step explanation:
You want to find the compatible numbers with the common denominator so you want to multiply by ones until you get something with the same denominator. In this case it's 12, 1/3 x 4 = 4/12 and 1/4 x 3 = 3/12, Then subtract. Therefore you get your answer 1/12
Answer:
<h3>Therefore the sum if the series is 15.98!</h3>
The common ratio is 1/2 or 0.5 . If you multiply the current term by the the common ratio the the output will be the next term.
8⋅1/2=4
4⋅1/2=2
2⋅1/2=1 etc ...
because the absolute value of r is less than 1 we can use the following formula.
a/1−r where a is the first term and r is the common ratio
In our problem
a=8 and r=0.5
Substitute
8/1−0.5=8/0.5=16
The sum of this infinite geometric series is 16.
Also, another formula you can use that is guaranteed to work every time, no matter what, is:
Sn=a(r^n−1/r−1)
All the variables work the same way as above, and "n" is the number of terms in the series. So, say you wanted to find the sum of the first 10 terms and were to substitute everything in:
S10=8(0.5^10−1/0.5−1)
S10=15.984375
Therefore the sum if the series is 15.98!
Step-by-step explanation:
<h2>Hope it is helpful....</h2>
Answer:
12 in
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = h(b₁ + b₂ )
where h is the height and b₁, b₂ the parallel bases
Given h = 6, b₁ = 8 and A = 60 , then
× 6 × (8 + b₂ ) = 60 , that is
3(8 + b₂ ) = 60 ( divide both sides by 3 )
8 + b₂ = 20 ( subtract 8 from both sides )
b₂ = 12
The length of the second base is 12 inches
Answer:
56844.9 units squared
Step-by-step explanation:
The surface area of a cone is denoted by: , where r is the radius and l is the slant height. The slant height is basically the length from a point on the base circle to the top vertex of the cone.
Here, since our diameter is 50 and diameter is twice the radius, then our radius is r = 50/2 = 25.
To find the slant height, we have to use the Pythagorean Theorem:
, where h is the height
Now, plug these values of r and l into the first equation above:
≈ 56844.9 units squared