Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) we have
----> equation A
----> equation B
substitute equation B in equation A

Applying property of exponents



therefore

Part 2) we have
----> equation A
----> equation B
substitute equation B in equation A

Applying property of exponents



simplify

therefore

Tenemos que
la capacidad del frasco es igual a 3/8 de litro
cuatro litros y medio es igual a decir 4 1/2 litros----> (4*2+1)/2----> 9/2 litros
realizamos una regla de tres
si un frasco tiene capacidad para--------------> 3/8 litros
X frascos-----------------------------------------> para 9/2 litros
X=(9/2)/(3/8)--------> 72/6-----> 12 frascos
la respuesta es
12 frascos
The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.
Depending on the formula you know, you can find the length of a side in 1 of 2 ways.
The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.
c^2 = 20^2 + 20^2 - 2(20)(20)(cos 45)
c^2 = 400 + 400 - 800(cos 45)
c^2 = 800 - 800(cos 45)
c = sqrt(800 - 800(cos 45)
c = 15.31
The second way is to use this formula:
r = s / (2 sin(180 / n))
20 = s / (2 sin(180/8)
(20)(2)sin(22.5) = s
(40)sin(22.5) = s
s = 15.31
We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using
a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
a = 18.48
Now solve for the area
Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72
perimeter = 122.48
area = 1131.72
After 14 weeks, both Megan and Conner will have saved the same amount.
Step-by-step explanation:
Amount Megan have = $50
Amount saved each week = $5.50
Amount Conner have = $18.50
Amount saved each week = $7.75
Let,
x be the number of weeks.
According to given statement;
M(x) = 50+5.50x Eqn 1
C(x) = 18.50+7.75x Eqn 2
For amount to be same;
Eqn 1 = Eqn 2

Dividing both sides by 2.25

After 14 weeks, both Megan and Conner will have saved the same amount.
Keywords: functions, division
Learn more about linear equations at:
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Any angle that is bent at 45 degree, 90 degree,180 degree are called benchmark angles. Obtuse angle, Acute angle, Right angle, Straight angle are called benchmark angles