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3 years ago

The Polygons are similar. Find the value of x.

Mathematics

2 answers:

ollegr [7]3 years ago

8 0

Answer:

Step-by-step explanation:

8/2=16/4

x-3=2.5*4

x=10+3

x=13

sergij07 [2.7K]3 years ago

4 0

The x would be 13, explanation: each value from the smaller polygon is multiplied by 4 to equal the value of the corresponding area on the larger polygon, 2.5 multiplied by 4 is 10, 13 - 3 equals 10, therefore x is 13 :)

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Elena L [17]

Answer: a = 4, b = 163,422

Step-by-step explanation:

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 (converted 21% into a decimal)

t = 36 yrs (2006 - 1970)

$P = P_{0} e^{kt}$ need to solve for P₀

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 (converted 21% into a decimal)

t = 15 yrs (2021 - 2006)

$P = P_{0} e^{kt}$ need to solve for P₀

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

Step-by-step explanation:

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

Step-by-step explanation:

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 log rules say division is subtraction

0 = ln 1

5 0

3 years ago

At its lowest point the Euro tunnel is 115m below sea level. At this point, the tunnel is 50m below the sea bed. How deep is the

sweet-ann [11.9K]

Euro tunnel : - 115 (115 m below sea level of 0)

-115 = S - 50
-115 + 50 = S
- 65 = S....the sea bed is -65 m (or 65 m below sea level

8 0

3 years ago

Sarah purchased a set of art supplies for $20.90 and a pair of jeans for $18.95.The sales tax rate in the state is 7%.How much c

mash [69]

Total purchase she did : $20.90+$18.95=$39.85
7% tax means that we have to 7% or (7/100) extra
7% X 39.85= 2.79
total pay: 39.85+2.79=42.64
total cash: $50
what she gets back: 50-42.64=7.36

8 0

3 years ago

10- 3/4z = 8 Somebody, please help me! I don't get this!

gizmo_the_mogwai [7]

Answer:

z = 8/3

Step-by-step explanation:

10- 3/4z = 8

Subtract 10 from each side

10-10- 3/4z = 8-10

-3/4z = -2

Multiply each side by -4/3

-3/4z * -4/3 = -2 *4/3

z = 8/3

6 0

2 years ago

Help asap!!!!!!!

azamat

Answer:

C and D

Step-by-step explanation:

So from the equation y = 1.26x + 9.49 we can gather that 9.49 is an initial value because it has to be added to the number with a variable ( 1.26x)

Because 1.26 has a variable of x and x represents a week, we know that the number 1.26 will increases in value depending on how many weeks have passed.

7 0

3 years ago

The Polygons are similar. Find the value of x. ​

The Polygons are similar. Find the value of x.