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Semmy [17]
3 years ago
11

h best describes the relationship between the successive terms in the sequence shown? 9, –1, –11, –21, … The common difference i

s –10. The common difference is 10. The common ratio is –9. The common ratio is 9.
Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0
-1=9 + (-10)
-11=-1+ (-10)

⇒ the common ratio is    -10
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The total surface area of a cylinder is given by the formula

\begin{gathered} A_{cylinder}=2circular\text{ area+curved surface area} \\ =2\pi r^2+2\pi rh \end{gathered}

Given diameter, d=12meters, we will solve for radius

\begin{gathered} \text{diameter,d}=2\times radius,r \\ d=2r \\ r=\frac{d}{2} \\ r=\frac{12m}{2} \\ r=6m \end{gathered}

The height is given as 9meters

Substituting for r and h in the formula will give

\begin{gathered} A_{cylinder}=2\pi r^2+2\pi rh \\ r=6m;h=9m;\pi=3.14 \\ A_{cylinder}=2\times3.14\times6^2+2\times3.14\times6\times9_{} \end{gathered}\begin{gathered} A_{cylinder}=6.28\times36+6.28\times54 \\ =226.08+339.12 \\ =565.2m^2 \end{gathered}

Hence the surface area of the cylinder is 565.2m²

8 0
1 year ago
Show all your work to receive credit!<br><br> What is m∠KNLm∠KNL?<br><br> Question 2 options:
Nataly_w [17]
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8 0
3 years ago
A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins.
balu736 [363]

1/6 = 1 batch, 2/6 = 2 batches and so on

if the factory used 1/2, the factory used 3/6 of a barrel, which equals to 3 batches.

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2 years ago
What is the most accurate representation of the area of a plot measuring 11.7cm by 15.4cm ?
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3 years ago
To be considered for pilot school, 12 students took a spatial reasoning test that resulted in this list of scores. Find the valu
lord [1]

Answer:

the 90th percentile is 145

Step-by-step explanation:

Data provided:

152 121 130 143 122 101 137 98 138 127 145 117

Number of students considered, n = 12

To find:

90th percentile

Now,

Step 1 : Arrange the data in ascending order

98, 101, 117, 121, 122, 127, 130, 137, 138, 143, 145, 152

Step 2 : Compute the position of the 90th percentile

position of the 90th percentile, i = (90% × n)

Thus,

i = 0.90 × 12

or

i = 10.8

Now,

Step 3 : Since, the index i is not an integer, round up to the nearest integer

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Therefore,

The 90th percentile is the value in 11th position,

i.e 145

7 0
3 years ago
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