Step-by-step explanation: We are given to find the value of x from the following trigonometric equation:
sin55=cosx
We know that the sine of any acute angle is equal to the cosine of its complement and cosine of any acute angle is equal to the sine of its complement.So, from equation (i), we get
sin55 ∘ =cosx
⇒sin55 ∘ =sin(90 ∘−x)
⇒55 ∘ =90 ∘ −x
⇒x=90 ∘ −55 ∘
⇒x=35 ∘
Thus, the required value of x is 35°.
Answer:
x = 
Step-by-step explanation:
- 18 + 64 = 0
+ 46 = 0
= - 46
x =
Option B because you would be expanding the original slope to get 36 and 18! :)
Since m is the midpoint of gh, both of the x, y coordinates of m should be the average of that of g and h. Let h=(x,y). 5=(1+x)/2, x=2*5-1=9; 3=(-5+y)/2, y=2*3-(-5)=11. So h(9,11).
Answer:
Side a = 35ft
Side b = 35ft
Side c = 20ft
Step-by-step explanation:
The formula for the perimeter of a triangle = Side a + Side b + Side c
In an isosceles triangle, 2 sides are equal to each other.
So, Side a = Side b
In the question, we are told that:
The two equal sides are each 5 ft less than twice the length of the third side.
Hence,
a = 2c - 5
b = 2c - 5
P = 90ft
P = a + b + c
90 = 2c - 5 + 2c - 5 + c
Collect like terms
90 = 5c - 10
90 + 10 = 5c
100 = 5c
c = 100/5
c = 20
The length of the third side = 20ft
a = 2c - 5
= 2 × 20 - 5
= 40 - 5
= 35 ft
b =2c - 5
= 2 × 20 - 5
= 40 - 5
= 35 ft
Therefore,
Side a = 35ft
Side b = 35ft
Side c = 20ft
