Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.
As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.
Here in the figure the other two angles given 
and 
. Sum of these two angles is 90°.
So we can write the equation as,
We have to remove the parenthesis now.
Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,
To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.
Now to get x, we have to move 3 to the other side, by dividing it to both sides.
We have got the required value of x.
The solution is x= 25.
Answer:
HHH, W = 3-0 = 3
HHT, W= 2-1=1
HTH, W= 2-1=1
THH, W=2-1 =1
HTT, W= 1-2=-1
THT, W= 1-2=-1
TTH, W=1-2=-1
TTT, W=0-3 = -3
So then the sample space for W is:
![S= [-3,-1,1,3]](https://tex.z-dn.net/?f=%20S%3D%20%5B-3%2C-1%2C1%2C3%5D)
Just 4 possible values from 8 possible combinations for the 3 random tosses
Step-by-step explanation:
For this case we define W as the random variable who represent the number of heads minus the number of tails in three tosses of a coin.
W= # heads- # coins
Since we toss a coin 3 times we have 2*2*2= 8 possible results. We can list the results and the corresponding values for W like this:
HHH, W = 3-0 = 3
HHT, W= 2-1=1
HTH, W= 2-1=1
THH, W=2-1 =1
HTT, W= 1-2=-1
THT, W= 1-2=-1
TTH, W=1-2=-1
TTT, W=0-3 = -3
So then the sample space for W is:
Just 4 possible values from 8 possible combinations for the 3 random tosses
Answer: the total cost of the meal is
$17.7415
Step-by-step explanation:
The original cost of the breakfast $10.25 and the original cost of the coffee is $3.45. This means that the total cost of the breakfast and the coffee was
10.25 + 3.45 = $13.7
You leave a 20% tip. This means that the amount of tip that you left is
20/100 × 13.7 = 0.2 × 13.7 = $2.74
The sales tax is 9.5%. This means that the amount of sales tax that you paid is
9.5/100 × 13.7 = 0.095 × 13.7 = $1.3015
Therefore, the total cost of the meal would be
13.7 + 2.74 + 1.3015 = $17.7415
Answer:
-1 ..?
Step-by-step explanation: because the lowest number a curve touches is -1
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