<span>Average profit from the sale of 1 piece of furniture = 3x + 1
Average number of pieces of furniture that can be made using current supply of raw materials = 3x - 1.
Therefore,
Average profit of total furniture = Average profit X Average total of furniture sold
= (3x + 1) X (3x - 1)
= 9x^2 - 1</span>
75 1/3 = 75.33
75.33% = 75.33/100
= 7533/10000
not sure if it can be simplified more than this
Answer:
1. 2x-3
2.-4x+12
3.9x+3
4.-15x-12
5.2x-5
6.-11x
7.23x+42
8.-21x
9.-2x-12
10.4x-8
Step-by-step explanation:
Step-by-step explanation:
<h3>
Need to FinD :</h3>
- We have to find the measures of other two angles of triangle.
We know that,
- The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.
Angle sum property,
- The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.
∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.
Second AnglE :
∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.
Third AnglE :
∴ Hence, the measure of the third angle of the triangle is 140°.
Answer:
A
Step-by-step explanation:
The volume of a pyramid is one third the height times the area of the base.
V = ⅓ h A
The base is a square, so the area is the width times length.
V = ⅓ h wl
Problem is, we don't know the height, only the slant length. But we can use this to find the height.
If we cut a cross section down the middle of the pyramid, we get an isosceles triangle. The base of the triangle is 24, and the legs are 37.
If we cut this triangle in half, we get two right triangles. Each right triangle has a base of 12 and a hypotenuse of 37.
Now we can use Pythagorean theorem to find the height of the triangle, which is also the height of the pyramid.
c² = a² + b²
37² = 12² + h²
h = 35
Now we can find the volume. h = 35, w = 24, and l = 24:
V = ⅓ h wl
V = ⅓ (35) (24) (24)
V = 6720
So the volume is 6720 ft³, or answer A.
