Answer:
100 - 75 = 25%
25%=119.60
need to find 1%
25/25=1%
119.60/25=1%
1%=4.784
now multiply by 100 to find original price
100% = 478.40
original price £478.40
Answer:
John ski down the mountain is 1285.37 feet.
Step-by-step explanation:
Given : John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21.
To find : About how far does John ski down the mountain ?
Solution :
We draw a rough image of the question for easier understanding.
Refer the attached figure below.
According to question,
Let AB be the height of mountain i.e. AB=1200 feet
The angle of depression is 21 i.e. ![\theta=21^\circ](https://tex.z-dn.net/?f=%5Ctheta%3D21%5E%5Ccirc)
We have to find how far does John ski down the mountain i.e. AC = ?
Using trigonometric,
![\cos\theta = \frac{AB}{AC}](https://tex.z-dn.net/?f=%5Ccos%5Ctheta%20%3D%20%5Cfrac%7BAB%7D%7BAC%7D)
![\cos(21)= \frac{1200}{AC}](https://tex.z-dn.net/?f=%5Ccos%2821%29%3D%20%5Cfrac%7B1200%7D%7BAC%7D)
![AC=\frac{1200}{\cos(21)}](https://tex.z-dn.net/?f=AC%3D%5Cfrac%7B1200%7D%7B%5Ccos%2821%29%7D)
![AC=1285.37](https://tex.z-dn.net/?f=AC%3D1285.37)
Therefore, John ski down the mountain is 1285.37 feet.
Answer:
Al final, Eduardo tenía 20 dulces.
Step-by-step explanation:
Dado que al principio Eduardo y Adrián tenían el mismo número de dulces, y Eduardo le dio a Adrián la mitad de los dulces que tenía, y después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces, para determinar cuántos dulces tenía Eduardo al final se debe realizar el siguiente cálculo:
Eduardo 1X = Adrián 1X
Eduardo 0.5X = Adrián 1.5X
Eduardo 1.25X = Adrián 0.75X
0.75 X = 12
X = 12 / 0.75
X = 16
1.25 X = 16 x 1.25 = 20
Así, al final, Eduardo tenía 20 dulces.
Answer:
tha
Step-by-step explanation:
Answer:
20 m by 10 m
Step-by-step explanation:
let w be width and l be length , then
2(l + w) = 60 ( divide both sides by 2 )
l + w = 30 ( subtract w from both sides )
l = 30 - w → (1)
lw = 200 → (2)
Substitute l = 30 - w into (2)
w(30 - w) = 200 ← distribute parenthesis on left side
30w - w² = 200 ( subtract 200 from both sides )
30w - w² - 200 = 0 ( multiply through by - 1 )
w² - 30w + 200 = 0 ← in standard form
(w - 10)(w - 20) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 10 = 0 ⇒ w = 10
w - 20 = 0 ⇒ w = 20
Substitute these values into (1)
l = 30 - 10 = 20
l = 30 - 20 = 10
dimensions of field is 20 m by 10 m