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Svetach [21]
3 years ago
9

The length of a rectangle is 4cm longer than the width. If the perimeter is the rectangle is 20 centimeters, what is the area of

the rectangle
Mathematics
1 answer:
stira [4]3 years ago
4 0

Answer:

Denote:

The length of rectangular: x

The width of rectangular: y

Then,

2(x + y) = 20

x - y = 4

=> 2(y + 4 + y) =20

=> 4y = 12

=> y = 3

=> x = 3 + 4 = 7

=> Area of rectangular:

A = Length x Width = 7 x 3 = 21 (cm2)

Hope this helps!

:)

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The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

\tan{20^o}=\cfrac{opp}{hyp}=\cfrac{x}{5,000}\\ \\ \Rightarrow x=5,000\tan{20^o}=1,819.85

Therefore, the height of the airplane above the tower is 1,819.85 feet.

8 0
3 years ago
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Marcella incarica Dora di aiutarla a suddividere 35 perle tra le sue tre figlie. Alla figlia maggiore vuole regalare la metà, al
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Answer:

La hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

Step-by-step explanation:

Dado que Marcella le pide a Dora que la ayude a dividir 35 perlas entre sus tres hijas, y quiere darle la mitad a la hija mayor, la tercera parte a la del medio y la novena a la menor y, además, Marcella quiere darle una perla a Dora como recompensa, para determinar cuántas perlas recibirá cada hija se debe realizar el siguiente cálculo:

35 / 2 = Mayor = 17.5 perlas

35 / 3 = Medio = 11.66 perlas

35 / 9 = Menor = 3.88 perlas

Así, la hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

5 0
2 years ago
Find the distance between (2,3) (4, -7)<br><br> Find the distance between (-9,-4) (-3,6)
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Answer:

Find the distance between (2,3) (4, -7)

= 6

Find the distance between (-9,-4) (-3,6)

= -10

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ahrayia [7]
You can get two ib of grapes and one of cherry
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3 years ago
Find the number of units x that produces the minimum average cost per unit C in the given equation. C = 0.001x3 + 5x + 250
Ksju [112]

Answer:

50 units

Step-by-step explanation:

Find the number of units x that produces the minimum average cost per unit C in the given equation.

C = 0.001x³ + 5x + 250

unit cost f(x) = C/x

= 0.001x³/x + 5x/x+ 250/x

f(x) = 0.001x² + 5 + 250/x

f'(x) = 0.002x - 250/x²

We equate the first derivative to zero

0.002x - 250/x² = 0

0.002x = 250/x²

Cross Multiply

0.002x × x² = 250

0.002x³ = 250

x³ = 250/0.002

x³ = 125000

x = 3√(125000)

x = 50 units

Therefore, the number of units x that produces the minimum average cost per unit C is 50 units.

4 0
3 years ago
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