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DENIUS [597]
3 years ago
7

1.The population of the world is approximately 6200 million people. It is increasing by approximately 93 million people each yea

r.Use this information to calculate the percentage increase in the population over a year.
2. Mike says, ‘An increase of 93 million people each year is more than 170 people each minute’.Show that he is correct.
Mathematics
1 answer:
STALIN [3.7K]3 years ago
8 0
The fraction can simplify down to \frac{93}{6200} convert it to a fraction and the yearly increase is 1.5%

2. Well on average there are 365 days in a year. Dividing 93 million by 365 will get your increase per day. 
There are 24 hours in a day, so that figure is further divided by 24.
There are also 60 minutes in an hour therefore furthermore divided by 60.
= 176 therefore true
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If the circumference of a circle measures 12π cm, what is the area of the circle in terms of π?
frez [133]
So the formula for the circumference of a circle is π x diameter
Since we know the the circumference already, we just divide that by π:

12π / π = 12

Now we halve the diameter to get the radius:
12 / 2 = 6 

The area of a circle is π x radius²
So the area is:

·π x 6² = 36π·  (or 113 not in terms of π) 
5 0
3 years ago
This object is made with five identical cubes. each cube edge if 4 centimeters long, What is the surface area of this object in
CaHeK987 [17]

Answer:

480 cm ^ 2

Step-by-step explanation:

To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.

We have that the surface area of a cube is:

A = 6 * a ^ 2

where a is the edge, we know that if it is a cube all its sides are equal, in this case it is 4 centimeters, if we replace we have:

A = 6 * (4 ^ 2)

A = 96

96 square centimeters is the area of a cube, but since the area of the object would be the sum of the area of all the cubes, then:

AT = 96 * 5

AT = 480 cm ^ 2

The surface area of the object formed with the cubes is 480 cm ^ 2

3 0
3 years ago
Question :-
DochEvi [55]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's solve ~

\qquad \sf  \dashrightarrow \:  \bigg( \dfrac{1}{ \sqrt{7 +  \sqrt{5} } }  +  \sqrt{7 +  \sqrt{5} } \bigg) {}^{2}

\qquad \sf  \dashrightarrow \:  \bigg( \dfrac{1}{ \sqrt{7 +  \sqrt{5} } } \bigg ) {}^{2}  +  \bigg( \sqrt{7 +  \sqrt{5} } \bigg) {}^{2}  + 2 \cdot \dfrac{1}{ \sqrt{7 +  \sqrt{5} } }  \cdot \sqrt{7 +  \sqrt{5} }

\qquad \sf  \dashrightarrow \: \dfrac{1}{7 +  \sqrt{5} }  + 7 +  \sqrt{5}  + 2

\qquad \sf  \dashrightarrow \: \dfrac{49 + 7 \sqrt{5} + 7 \sqrt{5} + 5 + 14 + 2 \sqrt{5}   }{7 +  \sqrt{5} }

\qquad \sf  \dashrightarrow \: \dfrac{68+ 16 \sqrt{5}    }{7 +  \sqrt{5} }

5 0
2 years ago
Help pls 6th grade math
vladimir1956 [14]

Answer:

x> or equal to 35. 36 is a solution.

Step-by-step explanation:

3 0
2 years ago
Solve this problem using the Trigonometric identities (secA+1)(SecA-1)= tan^2A
sammy [17]

Step-by-step explanation:

( secA + 1)( sec A - 1)

Using the expansion

( a + b)( a - b) = a² - b²

Expand the expression

We have

sec²A + secA - secA - 1

That's

sec² A - 1

From trigonometric identities

<h3>sec²A - 1 = tan ²A</h3>

So we have the final answer as

<h3>tan²A</h3>

As proven

Hope this helps you

7 0
3 years ago
Read 2 more answers
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