We have 12 pens in total
P(first three pens are blue with replacement) = 3/12 * 3/12 * 3/12 =
(1/4) * (1/4) * (1/4) =
1/ 64
Answer:
As per the given condition: Rodrigo has a ladder that is 13 ft long. The ladder is leaned against a vertical wall. The top of the ladder is 10.8 ft above the ground.
The Orientation of the ladder with the wall forms a right triangle.
The ladder length is the hypotenuse of the triangle,
the distance between the ladder at ground level and the base of the wall is the horizontal leg of the triangle,
and the height of the ladder is the vertical leg of the triangle.
⇒ Height of the ladder = 10.8 ft and hypotenuse = 13 ft
Using sine ratio formula;

Opposite side = height of the ladder = 10.8 ft and
Hypotenuse side = 13 ft.
then;

or

Simplify:
(nearest to tenth place)
Since, it is given that the angle the ladder makes with the ground needs to be 60 degree or less for safety purposes.
(a)
Yes, this ladder in a safe position.
as 
(b)
You can see the diagram as shown below in the attachment.
Answer:
<h3>
y = (7x-2)/5</h3>
Step-by-step explanation:
Given the expression 7x-5y = 2, we are to write y in terms of x. to do that, we will have to make y the subject of the formula from the given expression as shown;
7x-5y = 2
subtract 7x from both sides of the equation
7x-5y-7x = 2-7x
-5y = 2-7x
Multiply through by minus sign
-(-5y) = -(2-7x)
5y = -2+7x
5y = 7x-2
Divide both side by 5;
5y/5 = (7x-2)/5
y = (7x-2)/5
Hence the expression y as a function of x is given as y = (7x-2)/5
Answer: 4 apples in 1 lb
Step-by-step explanation:
Since there are twice as many apples as large apples, you would multiply
<em>2 x 84 = 168</em>
To find the apples per pound we want to divide the total number of apples, which is 168 by the weight of the bushel which is 42 lbs.
<em>168/42=4</em>
Therefore, there is 4 apples in 1 lb.
Hope this helped!, come back if i am wrong! :) ( I can redo the problem if it is)
Have a nice day! :)
84
If DA bisects angle CAE, and angle DAE=42
Then Angle CAE=84
If line AC bisects BAE, and we know angle CAE=84
Angles CAE and BAC are equal meaning they both measure 84 degrees