Answer:
89
Step-by-step explanation:
Given that Wendy took 2 tests and scored, 77 and 80 respectively, let x represent the grade of Wendy's third test.
To get an average grade of 82, let's generate an equation to find x (Wendy's grade on her third test).
Average grade = sum of all 3 grades all over 3
Multiply 3 by both sides
Subtract 157 from each side of the equation
Wendy must score 89 on her third test to have an average of 82.
Answer:
10.6 cones
Step-by-step explanation:
Given data
h= 4cm
d= 1.5cm
r= d/2= 0.75cm
The expression for the volume of a cone is
V= 1/3πr^2h
substitute
V= 1/3*3.142*(0.75)^2*4
V= 1/3*3.142*2.25
V=1/3*7.0695
V= 2.3565cm^3
Since the volume of 1 cone is 2.4cm^3
She can fill
=25/2.3565
=10.6 cones
About 10.6 cones
Its simple, convert 1 and 2/3 into a fraction which is 5/3 and use KCF which is Keep Change and Flip,
How this works is that you keep the first fraction, then change the division sign to a multiplication sign (Change = change the sign into its oppisite) then flip the other fraction from being 5/3 into 3/5. And then you multiply top times top and bottom times bottom. After that you simplify if you can, Hope this helped!
For a), this is clearly a given as it is literally to the right of where it says “Given:”
For b), since ON bisects ∠JOH, this means that it splits it into two separate angles - JON and HON, which are similar due to that bisects mean that it splits it equally into two halves
For c), since NO is the same thing as NO, it is equal to itself
For d), since AAS (angle-angle-side) congruence states that if there are two angles that are congruent (proved in a) and b) ) as well as that a side is congruent (proved in c) ), two triangles are congruent
For e), since two triangles are congruent, every side must have one side that it matches up to in the other triangle. As the opposite side of angle H is JO and the opposite side of angle J is OH, and ∠J=∠H, those two are congruent. As JN and HN are the two sides left, they must be congruent.
Feel free to ask further questions!
