Attached pictures shows the answers in RED.
Answer:Sixth grade
Step-by-step explanation:
Given
There are
sixth grade students out of which
Participated in math olympiad
also no of fifth grade students![=910](https://tex.z-dn.net/?f=%3D910)
Fifth graders who participated in math olympiad ![=745](https://tex.z-dn.net/?f=%3D745)
Since ![745>740](https://tex.z-dn.net/?f=745%3E740)
There are more fifth graders in Olympiad [Numerically]
Percentage wise
Percenteage of sixth graders who participated in Math olympiad![=\dfrac{700}{840}\times 100=83.33\ \%](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B700%7D%7B840%7D%5Ctimes%20100%3D83.33%5C%20%5C%25)
Percenteage of Fifth graders who participated in Math olympiad![=\dfrac{745}{910}\times 100=81.86\ \%](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B745%7D%7B910%7D%5Ctimes%20100%3D81.86%5C%20%5C%25)
So, a greater Population of Sixth graders participated in math olympiad compared to Fifth graders as ![83.33\ \%>81.86\ \%](https://tex.z-dn.net/?f=83.33%5C%20%5C%25%3E81.86%5C%20%5C%25)
Answer:
The value of the function f(x) at each point is f(-1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21 ⇒ A
Step-by-step explanation:
Let us use the mapping shown to solve the question
∵ f(x) = y
∵ x is the domain
∵ y is the range
→ From the figure use x from the domain and y from the range, where
each arrow pointed at the corresponding value y of x
∵ x = -1 and the corresponding value of y is 5
∴ f(-1) = 5
∵ x = 0 and the corresponding value of y is 3
∴ f(0) = 3
∵ x = 1 and the corresponding value of y is 5
∴ f(1) = 5
∵ x = 2 and the corresponding value of y is 11
∴ f(2) = 11
∵ x = 3 and the corresponding value of y is 21
∴ f(3) = 21
The value of the function f(x) at each point is f(-1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21
Answer:
x=45
y=30
Step-by-step explanation:
We know that there are two isosceles triangles which means two of the angles in the triangle are equivalent. We can use this to first solve for x
180-90=2x (This is for the smaller triangle)
90=2x
x=45
Now we find the measure of the angle in the bigger triangle.
(180-30)/2=150/2=75
Since y+x=75
y=75-x
y=75-45
y=30