Answer :-
Option c,
x = 57° and y=66°
Explanation ;-
Kindly check the attachment below
To answer this item, we use dimensional analysis and conversion factor, 1 revolution is equal to 2π rad. Using the concept and the given,
n = (14.2 revolutions / 8 seconds)(2π rad/1 rev)
n = 11.15 rad/s
Thus, the angular velocity is equal to 11.15 rad/s.
Answer:
The first term, 5x^3, can be eliminated.
The exponent on the first term, 5x^3, can be changed to a 2 and then combined with the second term, 2x^2
Step-by-step explanation:
The highest degree allowed in a quadratic function is 2, so the third degree term (the first term) needs to be eliminated or changed. The change shown above is one of many possibilities.
Answer:
cost of paint set = $ 13.64
cost of sketch book = $ 6.82
cost of brush = $ 4.55
Step-by-step explanation:
Let the cost of paint set is s.
cost of sketch book = s/2
cost of brush = s/3
Money spent = $ 28 - $ 3 = $ 25
So,
s + s/2 + s/3 = 25
6 s + 3 s + 2 s = 150
11 s = 150
s = $ 13.64
cost of paint set = $ 13.64
cost of sketch book = $ 6.82
cost of brush = $ 4.55
Answer:
Base angle = 72
Vertex angle = 18
Step-by-step explanation:
Measure of the base angle = x. But there are two of them. (Definition of isosceles). Keep that in mind.
The vertex angle is 1/4 of one of the base angles. That means that the vertex is 1/4 x
All three angles = 180 degrees.
So we have x + x + x/4 = 180 degrees.
change 1/4x to 0.25x x since 1/4 = 0.25
Equation
x + x + 0.25 = 180
2.5x = 180
Solution
2.5x = 180 Divide by 2.5 on both sides
2.5x/2.5 = 180/2.5
x = 72
Answer
That means that each base angle = 72 degrees
The Vertex Angle = 72/4 = 18
