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anygoal [31]
3 years ago
10

In a marathon,mike finished ahead of fred.emma finished after fred.john finished after agnes and agnes finished later than emma.

in what sequence did each of them finish the marathon?​
Mathematics
1 answer:
ipn [44]3 years ago
3 0

Answer:

Mike Fred Emma Agnes John

Step-by-step explanation:

Mike Fred Emma Agnes John

Create a list of the names in the order they're given and order them through the information provided.

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A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?
nirvana33 [79]

Answer:

Area = 26478cm^2

Step-by-step explanation:

Given

See attachment for desk

Required

The area

First, calculate the area of the semicircular cutout

Area = \frac{\pi r^2}{2}

Where

r = 60cm

So:

A_1 = \frac{3.14 * 60^2}{2}

A_1 = \frac{11304}{2}

A_1 = 5652cm^2

Next, the area of the complete trapezium

Area= \frac{1}{2}(a + b) * h

Where

a = 300

b = 2 * r = 2 * 60 = 120

h = 153

So:

A_2 = \frac{1}{2} * (300 + 120) * 153

A_2 = \frac{1}{2} * 420 * 153

A_2 = 32130cm^2

The area of the desk is:

Area = A_2 - A_1

Area = 32130cm^2 - 5652cm^2

Area = 26478cm^2

8 0
2 years ago
In February, Alec had 1,586 visitors to his website. In March, he had 1,352 visitors to his website. What is the percentage decr
Deffense [45]

Answer:

The percentage decrease  of the number of visitors to Alec's website from February to March is 14.8 %  

Step-by-step explanation:

Explanation:

Percent decrease is a measure of percent change, which is the extent to which something loses value.

Step 1:

Find out the difference (decrease) between the number of visitors in march and February

Decrease =number of visitors in Fe bury- Number of vsitors in march

Decrease=  1,586- 1,352

Decrease =234

Step 2:

Divide the decrease by the original number of visitors and multiply the answer by 100.

Percent decrease= \frac{Decrease }{ Original Number }\times100

Percent decrease= \frac{236}{1586}\times100

Percent decrease= 0.148\times100

Percent decrease =14.88

8 0
3 years ago
Water flows from a faucet at a constant rate. Assume that 6 gallons of water are already in a tub by the time we notice the fauc
Thepotemich [5.8K]
The equation would be y=3.2x+6
6 0
3 years ago
What is 30% of a $24.50 item
Zarrin [17]
$24.50*0.3 = $7.35
The answer is $7.35
6 0
2 years ago
Read 2 more answers
An inhalation aerosol contains 225 mg of metaproterenol sulfate, which is sufficient for 300 inhalations. How many micrograms of
noname [10]

Answer:

Each inhalation has 750 micrograms of metaproterenol sulfate.

Step-by-step explanation:

First step: How many miligrams are there in each inhalation.This can be solved by a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this step, our measures are:

- The number of inhalations.

- The quantity inhaled.

As the number of inhalations increases, so does the quantity inhaled. This means that this is a direct rule of problem.

300 inhalations contains 225mg of metaproterenol sulfate. How many miligrams are in a inhalation?

300 inhalations - 225mg

1 inhalation - xmg

300x = 225

x = \frac{225}{300}

x = 0.75mg

Each inhalation has 0.75mg of metaproterenol sulfate.

Final step: Conversion of 0.75mg to micrograms.

Each mg has 1000 micrograms. So:

1mg - 1000 micrograms

0.75mg - x micrograms

x = 1000*0.75

x = 750 micrograms

Each inhalation has 750 micrograms of metaproterenol sulfate.

7 0
2 years ago
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