Answer:
Step-by-step explanation:
Solving (47):
To solve for B, we have:
--- sum of angles in a triangle
This gives
Collect like terms
Solving (48):
To solve for Y, we have:
--- sum of angles in a triangle
This gives
Where
-- angle on a straight line
Solve for X
So, we have:
Since there are 26 students in Mr. Carson's class, and each kid gets 3 pencils, that means we will multiply 26 and 3, in which we get 78. Now, since boxes of pencils only contain a dozen, which is 12 pencils, we will divide 78 by twelve, in which we get 6.5 boxes. You can't buy half a box, so he will need 7 boxes, since having 6 boxes means that you don't have enough pencils.
Hope this helps!
We can find the area of the big triangle, and subtract it from the small 4 x 2 triangle.
bh/2
3*8/2
12
bh/2
2*4/4
4
12 - 8
4 unit²
To find the perimeter:
a² + b² = c²
9 + 64 = c²
73 = c²
√73 = c
√73 + 3 + 8 + 2 + 4
√73 + 17
Hope this helps!
Answer:
Step-by-step explanation:
The pillow is cylindrical. To determine the amount of fabric needed for the pillow, we would apply the formula for determining the total surface area of a cylinder which is expressed as
Total surface area = 2πr² + 2πrh
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
radius = 5 inches
Height = 18 inches
Therefore,
Area = (2 × 3.14 × 5²) + 2 × 3.14 × 5 × 18
Area = 157 + 565.2 = 722.2
Amount of fabric needed is
722.2 square inches
