Step-by-step explanation:
ABC is an isoceles triangle (both legs are equally long). and AB is its baseline.
OC is now a median for ABC splitting the angle at C and AB in half.
so, we have 2 right-angled triangles : OAC and OBC.
the half-angles at C are 42/2 = 21°.
the angles at A and B are 90°.
and the half-angles at O are 180 - 90 - 21 = 69°.
remember that the sum of all angles in a triangle must always be 180°.
AB are the heights of both of these triangles.
the single height is sin(69)×7 = 6.535062985... cm
and so,
AB = 2× height = 13.07012597... cm.
Answer:
4%
Step-by-step explanation:
Divide the tax by the pre-tax price =
12.80/320 = .04 or 4%
Answer:
false
Step-by-step explanation:
Answer:
6. Find the product for both sets of polynomials below by multiplying vertically. (4 points: 2 points for each product)
A)
4x^4 - 4x^3 - 16x^2 + 16x
B)
4x^4 - 4x^3 - 16x^2 + 16x
7. Are the two products the same when you multiply them vertically? (1 point)
Yes, the two products are the same when you multiply them.
Making a Decision:
8. Who was right, Emily or Zach? Are the products the same with the three different methods of multiplication? (1 point)
Emily was right, the products are the same with all three different methods of multiplication.
9. Which of these three methods is your preferred method for multiplying polynomials? Why? (1 point)
I prefer the table method because it is easier to understand what is going on, know where and what to do, and it is nicely and neatly laid out in front of me.
Answer:
Surface area of square box cover is 4x12=48
Step-by-step explanation:
Given cylindrical cup have 2 in of radius and height of 6 in.
It is said that we need to cover the cup leaving top and bottom of cup.
To find how much material to cover:
After covering the cup, square box will be formed around the cup.
As shown in figure, Top view of square cup and box.
One face of box has length of diameter of cup = 2 in and height of box as height of cup = 6 in
Therefore, Area of one face of square box is length x height = 2 x 6 =12
Since, Box having 4 faces
Surface area of square box cover = 4 x area of one face of box
= 4x12=48
