First you distribute...
-2n - 6 - 35 - 14n
Then you simplify...
-16n - 41
Done
Answer:So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or 16.7 percent chance. So to get two 6s when rolling two dice, probability = 1/6 × 1/6 = 1/36 = 1 ÷ 36 = 0.0278, or 2.78 percent.
Step-by-step explanation:
Hello.
To get the volume 5184 in3 you can use the dimension 18in x 24in x 12in.
First, you should draw a picture of your shipping container. It is a rectangular prism that is 5 by 12 by 4.
Next, let's look at the boxes of apples that will go into the box. The volume has to be 5184 in^3. If we divide it by 12 and 12, the answer is 3. Therefore, we could make a box that is 1 foot by 1 foot by 3 feet.
Those boxes would be stack on the base without any left over space. Now, just figure out how many would go on the next rows. They would be able to stand up and down.
Have a nice day.
cos θ =
, sin θ =
, cot θ = 4/7, sec θ =
, cosec θ = 
<h3>What are trigonometric ratios?</h3>
Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Sin θ: Opposite Side to θ/Hypotenuse
Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos
Cos θ: Adjacent Side to θ/Hypotenuse
Sec θ: Hypotenuse/Adjacent Side & 1/cos θ
Analysis:
tan θ = opposite/adjacent = 7/4
opposite = 7, adjacent = 4.
we now look for the hypotenuse of the right angled triangle
hypotenuse =
=
= 
sin θ = opposite/ hyp = 
Rationalize,
x
= 
But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.
Therefore, sin θ = - 
cos θ = adj/hyp = 
By rationalizing and knowing that cos θ is negative, cos θ = -
cot θ = 1/tan θ = 1/7/4 = 4/7
sec θ = 1/cos θ = 1/
= -
cosec θ = 1/sin θ = 1/
= 
Learn more about trigonometric ratios: brainly.com/question/24349828
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