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Jet001 [13]
3 years ago
5

Carla has two lengths of ribbon. One ribbon is 2 ft. The other ribbon is 30 inches. Which ribbon is longer. Explain.

Mathematics
1 answer:
algol133 years ago
3 0
30 inches because if you convert 30 inches into feet you get 2ft and six inches which is longer then just 2ft.
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3 years ago
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The 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?
AleksAgata [21]

Answer:

\large \boxed{2}

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}

Check:

\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}

It checks.

7 0
3 years ago
What is the volume in cubic units of a cylinder diameter 6 and height 4
katrin2010 [14]

Hey there!

The formula for the volume of a cylinder is \pi r^{2} h, which is essentially the base multiplied by the height.

If our diameter is six, then our radius is three, so we can solve for our base below. We will use 3.14 for pi.

3^{2}(3.14)=28.26

Now, we multiply this by our height of four.

28.26(4)=113.04

Therefore, our volume is 113.04 cubic units.

I hope this helps!

3 0
3 years ago
Find the value of x in the triangle... Then classify the triangle as acute, right or obtuse
ddd [48]

Answer:

x = 44

right

Step-by-step explanation:

The sum of the angles in a triangle add to 180

90+ 46+x = 180

Combine like terms

136+x = 180

Subtract 136 from each side

136+x-136=180-136

x =44

Since we have a 90 degree angle it is a right triangle

4 0
3 years ago
After a long practice, the marching band drank an entire 15 gallon cooler of water. The foot ball team drank 1/3 less than that.
astra-53 [7]

Answer:

the football team drank 10 gallons of water

Step-by-step explanation:

if the football team drank 1/3 less than 15, 1/3 of 15 is 5 so you would then subtract 5 from 15 and you get 10

6 0
3 years ago
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