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3 years ago

Who is known as the "founding father of geometry?"?

Mathematics

2 answers:

ale4655 [162]3 years ago

3 0

Euclid is considered the father of Geometry.

saul85 [17]3 years ago

3 0

Euclid is by thought of by most as the father of geometry

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The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula $P(t)=466\cdot 1.035^t$ , which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

$900=466\cdot 1.035^t$

$\frac{900}{466}=\frac{466\cdot 1.035^t}{466}$ $1.9313304721030043=1.035^t$

Take natural log of both sides:

$\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)$

$0.658209129198=t\cdot 0.034401426717$

$\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}$

$19.1331927775=t\\\\t=19.1331927775$

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

$1990+20=2010$

Therefore, 900 million passengers would travel by airline in 2010.

6 0

2 years ago

Solve the following system of equations by substation.

Cerrena [4.2K]

Answer:

C. (-1, 3)

Step-by-step explanation:

Label the 2 equations:

5y= 7x +22 -----(1)

x= -6y +17 -----(2)

Substitute (2) into (1):

5y= 7(-6y +17) +22

5y= -42y +119 +22 (Expand bracket)

5y= -42y +141 (Simplify)

42y +5y= 141 (+42y on both sides)

47y= 141

y= 141 ÷47 (÷47 on both sides)

y= 3

Substitute y= 3 into (2):

x= -6(3) +17

x= -18 +17

x= -1

Thus, the solution is (-1, 3).

7 0

2 years ago

Nelson finds a video game for $38.50. The game is on sale for $31.57. What is the percent of discount on the game?

Zigmanuir [339]

38.50 = 100%
31.57 = ?

Multiply: 31.57 x 100 = 3,157

Divide: 3,157 ÷ 38.50 = 82%
100-82= 18% discount

8 0

3 years ago

18x (14 - 9) ÷[12 - (19 - 13)] = what is the answer

marysya [2.9K]

Answer:

Step-by-step explanation:

18 . ( 14 - 9 ) ÷ [ 12 - ( 19 - 13 ) ]

18 . ( 5 ) ÷ [ 12 - 6 ]

90 ÷ 6

5 0

3 years ago

HELP AM BEING TIMED !!!!

Alja [10]

Answer:

Option B.

Step-by-step explanation:

It is given that triangle GFH has vertices G(2, –3), F(4, –1), and H(1, 1).

The triangle is rotated 270° clockwise using the origin as the center of rotation. So, rule of rotation is defined as

$(x,y)\to (-y,x)$

Now,

$G(2,-3)\to G'(3,2)$

$F(4,-1)\to F'(1,4)$

$H(1,1)\to H'(-1,1)$

So, the vertices of image are G'(3,2), F'(1,4) and H'(-1,1).

Therefore, the correct option is B.

3 0

3 years ago