Answer:
it depends on how big the floors are.
Step-by-step explanation:
Answer:
exponential form of ( 2^5 )^3 = 2^15
hence, the answer is ,
![2 {}^{15}](https://tex.z-dn.net/?f=2%20%7B%7D%5E%7B15%7D%20)
Answer:
first stage=420km
second stage=360Km
Step-by-step explanation:
Hi!
To solve the problem follow the steps below
1. We will call X to the first stage and Y to the second stage.
2. Raise the equations taking into account the following
the sum of both stages is 780km
X+Y=780km
the first stage has 60km more than the second
Y+60=X
X-Y=60
3. Add the equations found above
X + Y =780
X - Y =60
------------------------
2X=840
Solving for X=840/2=420Km
use one of the equations obtained in step 2, to get the value of Y
Y+60=X
X-60=Y
420-60=Y
Y=360km
Answer:
x=1
Step-by-step explanation:
2-3x=3x-4
6-3x=3x
6=6x
1=x
The rest of the question is the attached figure.
Solution:
As shown in the figure
ΔABC is an isosceles right triangle at B
AB = BC and AC is the hypotenuse ⇒ AC = 260 ft
using Pythagorean theorem
∴ AC² = AB² + BC² = AB² + AB² = 2 AB²
∴ AB² = AC²/2 = 0.5 AC²
∴ AB = √(0.5 AC²) = √(0.5 * 260²) = 130√2 ft →(1)
Also as shown in the figure
ΔADB is a right triangle at D
from (1) AB = 130√2 ft
given BD = 105 ft
we should know that ⇒
![sin \ \theta = \frac{opposite}{hypotenuse} = \frac{BD}{AB} = \frac{105}{130 \sqrt{2}} = 0.571](https://tex.z-dn.net/?f=sin%20%5C%20%5Ctheta%20%3D%20%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%20%3D%20%5Cfrac%7BBD%7D%7BAB%7D%20%3D%20%20%5Cfrac%7B105%7D%7B130%20%5Csqrt%7B2%7D%7D%20%3D%200.571)
∴ θ = sin⁻¹ 0.571 ≈ 34.82° = 35° ( to the nearest degree )
So, the value of θ = 35°