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3 years ago

Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.

Mathematics

1 answer:

AURORKA [14]3 years ago

4 0

Answer:

perimeter of rectangle = 2 (10+8) = 36

now t hnically joining 2 semi circled we need circumference of circle with radius = 8/4 = 2

so circum = 2 pi r = 2 pi 2 = 4 pi

now 4pi = 4 × 3.14 = 12.56

so total = 36 + 12.56 = 48.56

said to round nearest tenth so ans is 48.5

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Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease

Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

$\frac{2}{3}$

Now,

First year =570000

Second year is given by

$570000\times (\frac{1}{3})$

Third year is given by

$570000(\frac{1}{3})^2$

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

$570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6$

a=570000

common ratio is given by

$r=\frac{a_2}{a_1}=\frac{1}{3}$

number of terms = 6

Sum of terms will be given by

$S_n=\frac{a(1-r^n)}{(1-r)}$

We'll put this value in this formula,

$S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16$

So, there are approximately 853827 new cases in 6 years.

6 0

2 years ago

Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40

Dominik [7]

Amanda's method is linear because the number of minutes increased by an equal number every week.

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2 years ago

Elsa and Anna share $2000 in the ratio 5 : 3. How much does each of them get?

Karolina [17]

Answer:

Let them be "x"

5x+3x= $2000

8x= $2000

x= 2000/8

x= 250

5* 250= 1250.

3*250= 750.

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3 years ago

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Neporo4naja [7]

Answer:

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Step-by-step explanation:

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Minchanka [31]

Answer:

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Step-by-step explanation:

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