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n200080 [17]
3 years ago
8

A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will need. The ga

rden is in the shape of a rectangle with vertices at (2, 5) (8, 5) (8, 3) and (2, 3). Find the total length of border needed.
Mathematics
1 answer:
levacccp [35]3 years ago
5 0
Distance between (2, 5) and (8, 5) = 8 - 2 = 6
Distance between (8, 5) and (8, 3) = 5 - 3 = 2
Distance between (8, 3) and (2, 3) = 8 - 2 = 6
Distance between (2, 3) and (2, 5) = 5 - 3= 2

Total length of border = 6 + 2 + 6 + 2 = 16


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Which graph is the graph of f(x)= (x - 1)/(x + 2) ?
omeli [17]

Answer:

going clockwise from upper left the correct graph is the 2nd one

Step-by-step explanation:

asymptote at -2

4 0
3 years ago
Find the exact area of the surface obtained by rotating the curve about the x-axis.
padilas [110]
\bf \begin{cases}
y=sin\left( \frac{\pi x}{6} \right)\\
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\textit{using the disc method}
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V=\int\limits_{0}^{6}\pi \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx\implies \pi\int\limits_{0}^{6} \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx
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\bf \textit{now, let us check the double angle identities}
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cos(2\theta)=
\begin{cases}
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\bf \pi\int\limits_{0}^{6} \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx\implies 
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and surely, you'd know how to get the values for the bounds there

5 0
3 years ago
A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 20 componen
musickatia [10]

Answer: Probability that this whole shipment will be accepted is 0.629

Step-by-step explanation:

The company randomly select and test 20 components and accept the whole batch if there are fewer than 3 defectives.

Applying normal distribution,

z = (x-u)/s

Where

n = number of components that were tested.

s = standard deviation

u = mean = np

p = probability that the component has defect

q = probability that the component does not have defect

x = r = the number of components

From the information given,

p = 8/100 = 0.08

q = 1-q = 1-0.08 = 0.92

n = 20

u = 20×0.08 = 1.6

s = √20 × 0.08 × 0.92 = √1.472

s = 1.21

Probability that this whole shipment will be accepted will be probability that fewer than 3 components have defects. This means that it must be lesser than or equal to 2 components.

P(x lesser than 3) =P(x lesser than or equal to 2). Therefore,

x = 2

z = (2-1.6)/1.21 = 0.33

Looking at the normal distribution table, the corresponding z score is 0.629

8 0
3 years ago
a baseball dropped from the roof of a tall building takes 3.1 seconds to hit the ground. how tall is the building?
cluponka [151]
Initial velocity = 0 m/s
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s = ut + 1/2 at²
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4 0
3 years ago
Read 2 more answers
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dexar [7]

Answer:

Hello,

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Step-by-step explanation:

100% - 12% = 88% = 0.88

28,000 x 0.88^8 = 10,069.76...

7 0
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