Answer:
No
Step-by-step explanation:
For a number to be divisible by 12, it has to be divisible by both 3 and 4. This number is divisible by 3 as the sum of its digits is 18, and 18 is divisible by 3. However, 459 is not divisible by 4 as it is an odd number. Because of this, 459 is not divisible by 12.
Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet
Step-by-step explanation:
The scenario is shown in the attached photo.
Right angle triangle ABC is formed when the ladder leans against the wall of the house.
AC = the height of the ladder
AB = x feet = distance of the base of the house to the foot of the ladder
BC is the wall of the building.
To determine x, we will apply trigonometric ratio
Cos # = adjacent/hypotenuse
Where
# = 70 degrees
Hypotenuse = 20
Adjacent = x
Cos 70 = x/20
x = 20cos70
x = 20 × 0.3420
x = 6.84 feets
<h2>
Radius of a Circle Given Center and Point</h2>
To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:
- is one point and is another
<h2>Solving the Question</h2>
We're given:
- Center: (-2,1)
- Point: (2,-1)
Plug these given points into the formula for distance:
<h2>Answer</h2>
Therefore, the radius of the circle is units, or approximately 4.47 units.
Angle at centre = 2 x angle at circumference.
since angle BDC is 92 degrees, angle BAC will be 92/2 degrees