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Setler79 [48]
3 years ago
8

the area of a rectangle garden is 38 1/4 square meters.The width of the garden is 4 1/2 meters.Find the length of the garden.

Mathematics
1 answer:
never [62]3 years ago
4 0
Area = 38 1/4 = 153/4

Width = 4 1/2 = 9/2

Area = Length x Width

Length = Area/Width

So divide both of them:
\sf{ \frac{153}{4} \div \frac{9}{2} =\sf{ \frac{153}{4} \times \frac{2}{9} = \frac{9 \times 17}{2\times 2}\times \frac{2}{9} = \frac{17}{2}

So the length is equal to \boxed{\sf{\frac{17}{2}}}

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For each problem, find the missing value using the Pythagorean Theorem
aniked [119]

Answer: \sqrt{66}

Step-by-step explanation:

The Pythagorean Theorem says that a^2 + b^2 = c^2  where a and b are the two legs.  

In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.

4^2 + \sqrt{50} ^2  = C^2

16 +  50 = c^2

  66 = c^2

    c =\sqrt{66}  

3 0
3 years ago
The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.
blondinia [14]

Answer:

Find out the what function equation represents the population of the city after t years .

To prove

The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.

This can be represented by exponential decreasing function.

f(t) = a (1 - r)^{t}

Where a is the initial value.

r is the rate in decimal form

t is the time.

Here

a = 451,400

3.2 % is written in the decimal form.

= \frac{3.2}{100}

= 0.032

Put in the formula

f(t) = 451400 (1 - 0.032)^{t}

f(t) = 451400 (0.968)^{t}

Therefore the decrease in the population of the city after t years is represented by

f(t) = 451400 (0.968)^{t}



5 0
3 years ago
Read 2 more answers
Last week, a skate shop originally sold a skateboard for $120. Today, there is a sale and the same skateboard costs $96. What is
Tamiku [17]
120 - 96 = 24

Now we have to find what percent of 120 24 is.

x × 120 = 24
x = 0.2

0.2 means 20%.

The discount is 20% off.
8 0
3 years ago
Please help me with this question and please tell me how I would put this into a calculator please...
AnnyKZ [126]

Answer:

6

Step-by-step explanation:

\frac{2}{3}x+4=\frac{2}{3} *\frac{3}{1}+4 = 2+4=6

3 0
3 years ago
Can somebody help me with this question, please? I have no idea how to do this or find the answer. :/ How many ways are there to
san4es73 [151]

Answer:

28 different ways

Step-by-step explanation:

This is a combination question. Combination has to do with selection.

Total number of element in the set = 8

Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}

Total number divisible by 6 or 8 is 6

The number of ways we can choose 6 items from 8 is expressed as;

8C6 = 8!/(8-6)!6!

8C6 = 8!/(2)!6!

8C6 = 8*7*6!/2!6!

8C6 = 8*7/2

8C6 = 56/2

8C6 = 28 ways

Hence there are 28 different ways

5 0
3 years ago
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