Answer:
From the law of sines, we have:
,
where x and y are the sides opposite to angles X and Y, respectively.
Substituting the known values, we have:
, thus
.
Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.
We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.
Thus, there is only one triangle that can be formed under these conditions.
Hope this helps!
Answer:
(x,y) = (x, -2x²+6x+8), X∈R
Step-by-step explanation:
y= -2x²+6x+8
y=-2(x-4)×(x+1)
-2x²+6x+8= -2(x-4)×(x+1)
x∈R
(x,y) = (x, -2x²+6x+8), x∈R
Answer:
0.8178
Step-by-step explanation:
To make a 13% decrease in a value, we need to make the difference between the value (X) and 13% of the value:
X - 13% of X = X - 0.13*X = 0.87*X
To make a 6% decrease, following the same method, we just need to multiply the value by (1-0.06) = 0.94
So, to represent in a single decimal value a decrease of 13% and then a decrease of 6%, we just need to multiply the value by 0.87 and then by 0.94:
X*0.87*0.94 = X*0.8178
So the single decimal multiplier is 0.8178
32 doughnuts can be bought with $16.
Step-by-step explanation:
One dozen doughnuts = $6.00
One dozen = 12
$6.00 = 12 doughnuts
$1.00 = 
Therefore, 2 doughnuts can be bought for $1.
For $16 dollars;
No. of doughnuts = Amount * Doughnuts per dollar
32 doughnuts can be bought with $16.
Keywords: division, multiplication
Learn more about multiplication at:
#LearnwithBrainly
