We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:
Upon substituting the given values of angle A, and sides a and b, we get:
Upon solving this equation for B, we get:
Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.
Answer:
0=0
infinitely many solutions
Step-by-step explanation:
plug x=2y+3 as x into 3x-6y=9...so
3(2y+3)-6y=9, which has our x=2y+3 plugged in because that is what x equals
if you solve its
6y+9-6y=9
0y=0
y=0
making it 0=0
you can't go further from this
Answer:
Scale factor = 
Perimeter ratio = 4 : 9
Surface area ratio = 16 : 81
Volume ratio = 64 : 729
Step-by-step explanation:
Volume ratio = 
= 
= 
= 64 : 729
Scale factor = ![\sqrt[3]{\frac{\text{volume of small prism}}{\text{Volume of large prism}}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B%5Ctext%7Bvolume%20of%20small%20prism%7D%7D%7B%5Ctext%7BVolume%20of%20large%20prism%7D%7D%7D)
= ![\sqrt[3]{\frac{64}{729}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B64%7D%7B729%7D%7D)
=
Perimeter ratio = Scale factor
=
= 4 : 9
Surface area ratio = (Scale factor)²
= 
= 
= 16 : 81
Answer: Choice D) 5
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Notice the hole at (1,2). This means x = 1 and y = 2
y = f(x)
y = f(1) after we replace x with 1
y = 2
If we go from f(x) to f(x-4), then we shift the xy axis four units to the left. The curve will stay still though it will move relative to the xy axis. The xy axis moves four units to the left, so it appears that the curve moved 4 units to the right.
Add 4 to the x coordinate:
x = 1 ---> x+4 = 1+4 = 5
The y coordinate stays the same. No vertical shifting is done.
So we go from (1,2) to (5,2)
(1,2) is a hole on y = f(x)
(5,2) is a hole on y = f(x-4)
This is why the answer is x = 5
Answer:
3/2 =x
Step-by-step explanation:
1/8 = x/12
Solve using cross products
1 * 12 = 8x
12 = 8x
Divide each side by 8
12/8 =8x/8
3/2 =x
