Answer:
range of scores on final exam student get B is 90 to 100
Step-by-step explanation:
given data
Psychology 101 score = 66
average of his midterm = between 78 and 90
maximum = 100 points
to find out
range of scores on final exam student get B
solution
we consider here lowest marks need in final = x
so average at two marks should be
equation is
average marks = 0.5 × ( mid term marks + final marks ) .................1
put here value
78 = 0.5 × ( 66 + x )
x = 90
and
90 = 0.5 × ( 66 + x )
x = 114
so range 90 to 114
but maximum marks is 100 so
range of scores on final exam student get B is 90 to 100
Here: (Aₓ, Ay) = (-3,-4), (Bₓ, By) = (-7,0), (Cₓ, Cy) = (-3, 4)
Now, Formula of area of triangle is:
area = [Aₓ(By - Cy) + Bₓ(Cy - Ay) + Cₓ(Ay - By)] / 2
Substitute the values in to the expression,
area = [-3(0-4) - 7(-4-(-4)) - 3(-4-0)] / 2
area = [-3(-4) -7(0) -3(-4)] / 2
area = [12-0+12] / 2
area = 24 / 2
area = 12
Final answer would be 12 units.
Hope this helps!
A. The sculptor will have to sculpt away 1M on each side.
Explanation: 3 • 1_1/2 • 1_1/2
To get to 2 • 1/2 • 1/2, subtract 1 meter from each side of the rectangular prism and you’ll get that! :)
Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.
Explanation:
Since we have given that
For every 5 pieces of cloth, 2 are rectangles
So, remaining piece will be of triangle so,
3 are triangles.
Ratio of rectangles to triangles is 2:3.
Now, she needs 15 pieces of cloth to complete her scarf,
So, Number of rectangles is needed is given by
Number of triangles is needed is given by
Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.
Answer:
Step-by-step explanation:
