Answer:
Students
Step-by-step explanation:
Teachers: 13/20= 0.65 = 65%
Students: 37/50= 0.74 = 74%
74% > 65%
Students are more in favor of the new club than teachers
This problem can be solved in two ways, the long way, or the short way.
1. The long way
We know that the base of the triangle is along the x-axis, and the length of the base is 20.
The centre of mass is located at 2/3 of the distance from vertex (3,4) along the median, which cuts the base at (10,0).
Therefore the centre of mass is located at
x=3+(10-3)*2/3=23/3
y=4/3
2. The short way
It turns out that the centre of mass of a triangle sheet is located at the mean of the coordinates of the three vertices, i.e.
CG=((0+20+3)/3, (0+0+4)/3)=(23/3, 4/3) as before.
Answer:
(C) 18cm, 39cm, 21cm and 45cm.
Step-by-step explanation:
The quadrilateral HIJK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm.
When HIJK is dilated with a scale factor of 1.5, the side lengths becomes:
12 X 1.5 =18 cm
26 X 1.5 =39 cm
14 X 1.5 =21 cm
30 X 1.5 =45 cm
A dilation of HIJK with a scale factor of 1.5 will give us the side lengths:
18cm, 39cm, 21cm and 45cm.
<u>The correct option is C.</u>
Answer:
25 grams of protein
Step-by-step explanation:
10 grams of protein is in 1 cup of milk.
To understand how many grams of protein are in 0.5 cups of milk, I would need to divide 10 by 2, to get 5.
There are 5 grams of protein in 0.5 cups of milk.
Now if I want to see how many grams of protein are in 2 cups of milk, I would multiply 10 by 2, to get 20.
There are 20 grams of protein in 2 cups of milk.
But, the question is asking for how much protein is in 2.5 cups of milk.
Since we know how much is in 2 cups, and 0.5, we can just add them together, because 2+0.5 is 2.5.
20+5 is 25 grams.
There are 25 grams of protein in 2.5 cups of milk.
Answer:
1. its substitution
2.
3. order of operations
4. variable
5. equation
Step-by-step explanation:
