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3 years ago

I need help!!!pls !!!!

Mathematics

1 answer:

kiruha [24]3 years ago

4 0

Answer:

3/8 for the second question

Step-by-step explanation:

number of shaded portion on total number

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The smallest number that has 3,7 and 11 as prime factors

andreyandreev [35.5K]

Answer:

231

Step-by-step explanation:

Since prime numbers are always relatively prime, we can just multiply them together. 3*7*11=21*11=231

4 0

3 years ago

In 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%. The 1987 population

KATRIN_1 [288]

Answer:

Step-by-step explanation:

Given that in 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%

Thus the equation for population for country A would be

$P(A) = 87e^{0.035t}$

The 1987 population of country B was estimated at 243 million with an annual growth rate of 0.6%.

So equation for population for country B would be

$P(B) = 243e^{0.006t}$ where t = time in years and P in millions

a) P(A) = 2*87 when

$2=e^{0.035t}$

Take log and solve

ln 2 = 0.005 t

t = 138.63

Thus after 138 years population will double for A

b) P(A) = P(B) when

$P(A) = 87e^{0.035t}=P(B) = 243e^{0.006t}\\e^{0.035t-0.006t}=\frac{243}{87} =2.793\\0.029t = 1.027\\t= 35.42$

Approximately after 35.5 years the populations of both countries would be equal.

7 0

3 years ago

Read 2 more answers

Henry has a bag of marbles. six of them are striped. The other half of the marbles are not striped. How many marbles does Henry

Inessa [10]

Answer:

Step-by-step explanation:

6 are striped which is half of them, the other half must be 6 then

6+6=12

5 0

3 years ago

Read 2 more answers

Point T is on line segment SU. Given SU = 17 and TU<br> length ST<br> 14, determine the

ki77a [65]

Answer:17

Step-by-step explanation:

3 0

3 years ago

What is the length of the apothem of a regular hexagon with 10-cm sides?

vodka [1.7K]

Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

$apothem = \frac{s}{2\ tan\ (\frac{180}{n})}$

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

$s = 10cm\\n = 6$

Putting the values in the formula

$apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm$

Hence,

The length of apothem of given hexagon is 8.66 cm

6 0

3 years ago