Answer:
3 Units
Step-by-step explanation:
Secant RM intersects secant RN at point R.
The secants intersects the circle at points P and Q respectively as seen in the diagram.
To determine the length of RQ, we use the Theorem of Intersecting Secants.
Applying this on the diagram, we have:
RP x RN=RQ X RM
4(4+5)=RQ(RQ+9)
Let the length of RQ=x

Therefore, length of RQ=3 Units
500 people took the survey.
12 out of 15 people is 80% of the population. 12/15 = 0.80
Thus, 80% of the population prefers eating in the restaurant.
If 400 represents the people who prefers eating in the restaurant; then, 400 is the 80% of the population. To get the total population or 100%, we must divide 400 by 0.80 or 80%
400 / 0.80 = 500 people.
Out of the 500 people, 400 selected eating in the restaurant while the remaining 20% of the population or 100 people selected cooking at home.
Answer:

Step-by-step explanation:
The distance formula states that the distance between two points
and
is
.
The two points we have are
and
. Plugging these numbers into the distance formula, we have
.
Simplifying with order of operations, first using the distributive property, gives
.
Squaring and adding gives

which is the answer in simplest form. This also rounds to about 12.04.
Answer:
Length of the ladder used by worker = 17 feet
Step-by-step explanation:
Given:
Height of the window from the ground = 13 ft
Distance of fence from the building = 3 ft
Distance of ladder from the building = (3+8) = 11 ft
We have to find the length of the ladder.
Let the length of the ladder be 'x'
From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.
Using Pythagoras formula:
⇒ 
Here base length = 11 ft
Perpendicular = 13 ft
Plugging the values:
⇒
⇒ 
⇒ 
⇒
feet
The length of the ladder = 17 feet to its nearest tenth.