ANSWER
23.6 feet
EXPLANATION
The given triangle is a right triangle.
The hypotenuse is 27 ft.
The given angle I s 29°
The unknown side x, is adjacent to the given angle.
We use the cosine ratio to get,
We multiply both sides by 27 to get;
to the nearest tenth.
Answer:
Option B.
Step-by-step explanation:
Given information: ∠MHL=(3x+20), ∠KHN=(x+25), and ∠JHN=(x+20).
We need to find the measure of ∠JHN.
(Vertical opposite angles)
Substitute the given values.
The value of x is 25. So, the measure of ∠JHN is
The measure of ∠JHN is 45°.
Therefore, the correct option is B.
Answer:
The sum is 1575.
Step-by-step explanation:
Consider the provided information.
It is given that positive integers smaller than 1000 and that can be written in the form
Where n is integer that means the value of n can be a positive number or a negative number.
For n = 0
For n=-1
For n=-2
For n = -3 the obtained number is not an integer.
Now consider the positive value of n.
For n=1
For n=2
For n=3
For n=4 the obtained number is greater than 1000.
Now add all the numbers.
Hence, the sum is 1575.