Answer:
$69.50
Step-by-step explanation:
First you need to know how much wall you're going to cover.
Each wall us 12 ft by 8ft
The area of a rectangle can be computed with the formula:
A = L x W
Using the given:
A = 12ft x 8 ft
= 96 ft²
This is the area of each wall. Since all 4 walls will be covered, you multiply the area of 1 wall by 4.
96 ft² x 4 = 384 ft²
Next we subtract the area of the windows and the door because we won't be covering that.
384 ft² - 52 ft² = 332 ft²
So the total area we are covering with wall paper is 332 ft².
To get the cost of the wallpaper needed, we just need to compute first how many bolt we will need. Divide the total area to be covered by the area of one bolt of wall paper.
332 ft² ÷ 72 ft²/bolt = 4.61 bolts ≅ 5 bolts
Then we multiply it by the price per bolt:
5 bolts x $13.90/bolt = $69.50
The greatest common factor (GCF) of 63 and 96 is: 3
To find the GCF, list all the factors until that go up to 63 since that is the minimum.
Factors of 63: 1, 3, 7, 9, 21, 63
Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48
Find the common factors between the two numbers which are 1 and 3. Now, which one of those numbers are the greatest/highest? The answer is 3.
Answer:
B. An obtuse scalene triangle
Step-by-step explanation:
Polygons are plane figures bounded by three or more straight sides. Examples are: trigon, quadragon, hexagon, nonagon etc. They are named with respect to their number of sides.
An obtuse triangle has one of its angles greater than 
but less than 
. While a scalene triangles has non of its sides to be equal in length.
The valid description of the classes of polygons is: an obtuse scalene triangle. Which implies that the triangle has one of its angles to be obtuse, and non of its sides equal.
Answer:
Step-by-step explanation:
0.4 out of the 0.8/ for the 3.5 it should be 1.5
Step-by-step explanation:
When x = 0,
sin3x / 6x = 0 / 0, which is an indeterminate form.
Hence we use L'Hospital's rule:
d/dx (sin3x) = 3cos3x
d/dx (6x) = 6
Now we have 3cos3x / 6 or 0.5cos3x.
When x = 0, 0.5cos3x = 0.5(1) = 0.5.
Hence the limit is 0.5.
