Answer:
The the angle which the wire make with the ground is 1.280 radian .
Step-by-step explanation:
Given as :
The length of the wire attached to the top of building = OB = 70 foot
The distance of wire anchored from base of ground = OA = 20 feet
Let the angle made by wire en and ground = Ф
Now from , In Triangle AOB
Cos angle = 
Or, Cos Ф = 
or, Cos Ф = 
Or, Cos Ф = 
∴ Ф = 
I.e Ф = 73.39°
Now in radian ,
∵ 180° = 
radian
∴ 73.39° = 
× 73.39°
= 
× 73.39° = 1.280 radian
Hence The the angle which the wire make with the ground is 1.280 radian . Answer
Answer:
The correct answer for this question is this one:
If the x position of the vertex for f(x) is k then :
1. f(k) => 4x+3=k, x = (k-3)/4 = (k/4)-(3/4)
2. x = k+3
3. x = (k+1)/2 = (k/2)-(1/2)
4. x = 2(k+2) = 2k+4
5. x = k+7
6. x = k-3
7. x = k-2
So the order depends on the original position of the vertex k, e.g for k=0 the positions would be:
1. -3/4
2. 3
3. -1/2
4. 4
5. 7
6. -3
7. -2
So, therefore, the order would be 6 7 1 3 2 4 5
Answer:
5a + (-6a) + (-2b) + 2b + (-3) = -a -3 or -(a + 3) so first answer is correct because -(a + 3) is the same as -(3 + a)
Step-by-step explanation:
Step-by-step explanation:
There are four possible values of X: 0 rats show side effects, 1 rat shows side effects, 2 rats show side effects, or all 3 rats show side effects.
Probability X = 0:
P = (1 − 0.5) (1 − 0.4) (1 − 0.3)
P = 0.21
Probability X = 1:
P = (0.5) (1 − 0.4) (1 − 0.3) + (1 − 0.5) (0.4) (1 − 0.3) + (1 − 0.5) (1 − 0.4) (0.3)
P = 0.44
Probability X = 2:
P = (0.5) (0.4) (1 − 0.3) + (0.5) (1 − 0.4) (0.3) + (1 − 0.5) (0.4) (0.3)
P = 0.29
Probability X = 3:
P = (0.5) (0.4) (0.3)
P = 0.06
If you're looking for the number of dogs (I'm assuming, you didn't specify), all you'd have to do is divide the number by two, then round down to find the number of dogs, then check your answer by adding that number and that number plus 5.
For example, yours would look like 125/6=62.5, and rounding down to 60.
Then check your answer by adding 60 and 65, the number of cats. 60+65=125.
There are 60 dogs inside the kennel.
