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2 years ago

Find the perimeter and the area of a rectangle with the sides 4 7/20 m and 6 2/3 m.

Mathematics

1 answer:

Simora [160]2 years ago

5 0

9514 1404 393

Answer:

perimeter: 22 1/30 m
area: 29 m²

Step-by-step explanation:

The perimeter is given by the formula ...

P = 2(L+W)

P = 2(4 7/20 +6 2/3) = 2(10 +61/60) = 2(11 1/60)

P = 22 1/30 . . . . meters

The area is given by the formula ...

A = LW

A = (4 7/20)(6 2/3) = (87/20)(20/3) = 87/3 = 29 . . . . square meters

The perimeter is 22 1/30 meters; the area is 29 square meters.

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An environmental group at a local college is conducting independent tests to determine the distance a particular make of automob

melomori [17]

Answer:

$26.5265$

Step-by-step explanation:

Confidence Interval

When the population standard deviation $\sigma$ is known, the formula for a confidence interval for a population mean $\bar x$ is:

$\displaystyle \bar x \pm z\frac{\sigma}{\sqrt{n}}$

Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are

$\bar x=28.2,\ \sigma=2.7, \ n=10$

Calculating the confidence interval

$\displaystyle 28.2 \pm 1.96\frac{2.7}{\sqrt{10}}$

$\displaystyle 28.2 \pm 1.6735$

Or, equivalently

$26.5265$

6 0

3 years ago

-5x +3y +6z=4 -3x + y + 5z=-5 -4x + 2y + z= 13

lozanna [386]

See the attached image for solution:

6 0

3 years ago

Read 2 more answers

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mafiozo [28]

Answer:

Ex1. X=-1

Ex2. 3rd choice

Step-by-step explanation:

Ex1. The only discontinuity in the domain is x=-1

Ex2. You just add values of x to those options and see which one applies

6 0

3 years ago

Please help! i'm confused! Find the area of a kites with diagonals 9in and 12in.

kolbaska11 [484]

Notice the picture
the rhombus, or kite, is really just 4 triangles
all sides are the same lenght in a rhombus,

thus, find the area of all of the triangles,
and you already have two sides given,
and then, add them up

or just find the length of one, and multiply times 4 :)

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8 0

3 years ago

Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 924 square milimetres an

BigorU [14]

Length =l

Height = h

Area function = l * h = 924

Perimeter function = 2i + 2h = 122

Divide by 2

I + h = 61.

Plug in I or h for the other variable

I * (61 - I) = 924

61i - i^2 = 924

Factor the function

(-I + 28)(I - 33) = 0

l = 33 as l cannot be negative

61 - 33 = 28

h = 28

Difference between h and l is 33-28=5

6 0

2 years ago