Answer: The angle through which the pendulum travels = 
.
Step-by-step explanation:
Formula: Length of arc: 
, where r= radius ( in radians) , 
= central angle.
Given: Length of pendulum (radius) = 45 cm
Length of arc= 27.5 cm
Put these values in the formula, we get
In degrees ,
![\theta=\dfrac{11}{18}\times\dfrac{180}{\pi}=\dfrac{110\times7}{22} \ \ \ \ [\pi=\dfrac{22}{7}]](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cdfrac%7B11%7D%7B18%7D%5Ctimes%5Cdfrac%7B180%7D%7B%5Cpi%7D%3D%5Cdfrac%7B110%5Ctimes7%7D%7B22%7D%20%5C%20%5C%20%5C%20%5C%20%20%20%20%5B%5Cpi%3D%5Cdfrac%7B22%7D%7B7%7D%5D)
Hence, the angle through which the pendulum travels = .
Answer:
8/15
Step-by-step explanation:
Using Pythagorean Theorem the length of XZ is 15.
tan X = opposite / adjacent = YZ / XZ = 8 / 15.
Answer:
Slope- 5 y-int- (0,0)
Step-by-step explanation:
y=mx+b, where m=slope and b=y-int. m=5, and we don't see a b, so it must be 0.
Answer:
1). All four triangles are right-angled.
3.) All four triangles are congruent.
4) Area of a rhombus = 4 x area of one triangle.
Step-by-step explanation:
If a rhombus is cut into four triangles using diagonals, the three statements that would apply to any rhombus would be that 'all those four triangles would be right-angled,' 'the triangles would be congruent to one another,' and 'area of one triangle * 4 would be equal to the area of the rhombus.'
As we know, the diagonals bisect one another in a rhombus at 90° and the angles opposite to one another are equal. This <u>proves that all four triangles constructed through the diagonals would be ≅ through SSS congruency and perpendicular to one another because the corresponding edges of the congruent triangles are also ≅</u> . Since the rhombus is divided into four equal parts, the area of one triangle into four would be equals to the area of the rhombus. Thus, <u>options 1, 3, and 4</u> are the correct answers.
Answer:
Step-by-step explanation:
1a = yes
1b = no, you don’t add the denominators together when adding.
1c = yes
1d = yes
