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Leviafan [203]
3 years ago
11

What is the length of the patio?

Mathematics
1 answer:
tresset_1 [31]3 years ago
3 0

Here's how it works:

12+12+x+6+x+6=64

36+2x=64 <Combine like terms

2x=28 <Subtract 36

x=14 <Divide by two

You might be interested in
When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 63 seconds and a standard devia
Gnom [1K]

Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.

2 standard deviations = 2 × 0.5 = 1

63 - 1 = 62 seconds

63 + 1 = 64 seconds

Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.

6 0
3 years ago
A frightened child is restrained by her mother as the child slides down a frictionless playground slide. If the force on the chi
MissTica

Answer:

Step-by-step explanation:

Given

Restrained Force F=116 N

Increase in Kinetic Energy \Delta K.E.=30 J

Distance moved d=1.9 m

Work done by all the forces is equal to change in Kinetic Energy of Object i.e. by gravity force, Normal force and Applied Force

\Delta K.E.=W_g+W_f+W_N

30=W_g-F\cdot d

30=W_g-116\cdot 1.9

W_g=250.4 J

(b)In absence of applied force thus

work done by gravity will be equal to  change in kinetic Energy

change in Kinetic Energy=210 J

6 0
3 years ago
Lalo has 1,500 minutes per month on his cell phone plan. How many more minutes can he use if he has already talked for 785 minut
emmainna [20.7K]

Answer:

All you have to do is subtract 1500-785 in order to find the number of minutes left for him.

1500-785=715 more minutes left



4 0
3 years ago
What is the slope of the line with equation 6x+3y=12?
max2010maxim [7]

Answer:

<h2>The slope m = -2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the equation in the standard form:

6x+3y=12

Convert to the slope intercept form:

6x+3y=12              <em>subtract 6x from both sides</em>

3y=-6x+12           <em>divide both sides by 3</em>

y=-2x+4

slope: <em>m = -2</em>

y-intercept: <em>b = 4</em>

6 0
3 years ago
i need help with questions 12-15. you can choose one but if you can give me all the answers i will mark you brainliest
8090 [49]

For lines to be parallel, the slopes have to be the SAME.

For lines to be perpendicular, the slopes have to be the exact opposite. (opposite sign and number)

For example(perpendicular):

slope is 2

the perpendicular slope is -1/2

slope is -4/5

the perpendicular slope is 5/4


12. line a and b are perpendicular


13. Line a: y = 3/5x + 1

Line b: y = 3/5x - 2/5

Line c: y = 4/6 + 5/3x

line a and b are parallel


14. Line a: y = 3x + 6

Line b: y = 6 - 3x

Line c: y = 2/3x + 6

Neither, none of them are parallel or perpendicular


15. Line a: y = -2/3 + 4/3x

Line b: y = -1/4 - 3/4x

Line c: y = 5 + 3/4x

line a and b are perpendicular

6 0
3 years ago
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