Answer:
He was on an airplane.
Step-by-step explanation:
Hope I helped!
Please mark Brainliest!!!
Answer:
D
Step-by-step explanation:
Recall that the area of a triangle is given by:
![\displaystyle A = \frac{1}{2} bh](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20bh)
In this case, the base is <em>x</em> and the height is <em>y</em>. Hence:
![\displaystyle A = \frac{1}{2} xy](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20xy)
We can write the following ratios:
![\displaystyle \sin \alpha = \frac{x}{12} \text{ and } \cos \alpha = \frac{y}{12}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csin%20%5Calpha%20%3D%20%5Cfrac%7Bx%7D%7B12%7D%20%5Ctext%7B%20and%20%7D%20%5Ccos%20%5Calpha%20%3D%20%5Cfrac%7By%7D%7B12%7D)
Solve for <em>x</em> and <em>y</em>:
![\displaystyle x = 12\sin \alpha \text{ and } y = 12\cos \alpha](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%2012%5Csin%20%5Calpha%20%5Ctext%7B%20and%20%7D%20y%20%3D%2012%5Ccos%20%5Calpha)
Substitute:
![\displaystyle A = \frac{1}{2}\left(12\sin \alpha\right)\left(12\cos \alpha\right)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Cleft%2812%5Csin%20%5Calpha%5Cright%29%5Cleft%2812%5Ccos%20%5Calpha%5Cright%29)
And simplify. Hence:
![\displaystyle A = 72\sin \alpha \cos\alpha](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%2072%5Csin%20%5Calpha%20%5Ccos%5Calpha)
In conclusion, our answer is D.
Answer:
ΔABC ~ ΔDEF
Step-by-step explanation:
If the given triangles ΔABC and ΔDEF are similar,
Their corresponding sides will be proportional.
![\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAB%7D%7D%7B%5Ctext%7BDE%7D%7D%3D%5Cfrac%7B%5Ctext%7BBC%7D%7D%7B%5Ctext%7BEF%7D%7D%3D%5Cfrac%7B%5Ctext%7BAC%7D%7D%7B%5Ctext%7BDF%7D%7D)
By substituting the measures of the given sides,
![\frac{4}{2}=\frac{6}{3}=\frac{2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B2%7D%3D%5Cfrac%7B6%7D%7B3%7D%3D%5Cfrac%7B2%7D%7B1%7D)
2 = 2 = 2
Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.
ΔABC ~ ΔDEF
Answer:
![\frac{a}{1 +bc} = x](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B1%20%2Bbc%7D%20%3D%20x)
Step-by-step explanation:
In this question, it appears that you need to solve this equation in terms of x.
Beginning with the equation a = x(1 + bc), we must isolate the 'x' variable and make an equation equivalent to 'x'. This can be done by:
a = x(1 + bc)
Divide (1 + bc) from both sides, giving you:
![\frac{a}{1 +bc} = x](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B1%20%2Bbc%7D%20%3D%20x)
1) 500+60+3 and 563
2) 1 hundreds + 0 tens + 9 ones and 100+0+9
3) 9 hundreds + 2 tens + 23 ones and 23 ones?? not possible!.
4) 370 and 300 + 70 + 0
Hope my answer helps!