Answer:
Step-by-step explanation:
The measure of the floor of the rectangular room that is 12 feet by 15 feet. The formula for determining the area of a rectangle is expressed as
Area = length × width
Area of the rectangular room would be
12 × 15 = 180 feet²
The tiles are square with side lengths 1 1/3 feet. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet
Area if each tile is
4/3 × 4/3 = 16/9 ft²
The number of tiles needed to cover the entire floor is
180/(16/9) = 180 × 9/16
= 101.25
102 tiles would be needed because the tiles must be whole numbers.
9n = 3n-12
-3n= -3n
6n= -12
divide by 6 = -2 =n
to check.. 9 times -2 = -18 soo.. 3 times -2= -6-12= -18
so it is correct!!
hope it helps :)
Answer:
per 100 pencils he looses $75
Step-by-step explanation:
If he sells 100 pencils at $1.75 he will make $175 which is less than the $250 he spent for the 100 pencils. So per 100 pencils he looses $75
<h3>
First Method:</h3>
<u>Using cosine rule</u>:
<h3>
Second Method:</h3>
<u>First find XY using sine rule</u>:
Then use Pythagoras Theorem:
⇒ XY² + YZ² = XZ²
⇒ (6)² + YZ² = 12²
⇒ YZ² = 144 - 36
⇒ YZ = √108
⇒ YZ = 6√3
⇒ YZ = 10.4
Answer:
B = 90
C = 44
D = 46
Step-by-step explanation:
a right angle means that it is 90 degrees, and the combination of all angles must be 180 degrees. This means that angles D and C must equal 90. If you add together the equations assuming the answer is 90, you can solve for x.
(5x - 29) + (2x + 14) = 90
7x - 29 + 14 = 90
7x - 15 = 90
7x = 105
(7x = 105) ÷ 7
x = 15
When you get the value for x you can then plug it into the individual equations to find the degree of the angle
5(15) - 29
75 - 29 = 46
Angle D = 46
2(15) + 14
30 + 14 = 44
Angle C = 44
To check your answer you can add all of the angles together and if they equal 180 then your answer is correct
44 + 46 + 90
90 + 90 = 180
