Answer:
Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Given:
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Amelia:
7.2b + 6.5 - 7.2b > 4.8b – 8.1 - 7.2b
6.5 > -2.4b - 8.1
Correct
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
7.2b + 6.5 - 4.8b > 4.8b – 8.1 - 4.8b
2.4b + 6.5 > -8.1
Incorrect
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6
7.2b + 6.5 - 6.5 > 4.8b – 8.1 - 6.5
7.2b > 4.8b - 14.6
Correct
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
7.2b + 6.5 + 8.1 > 4.8b – 8.1 + 8.1
7.2b + 14.6 > 4.8b
Correct
How much does the molding paper cost. Work out the area of the ceiling which is 15 x 20 and multiply it by the price of the molding paper
Answer:
1010010001
Step-by-step explanation:
Keep dividing 657 by 2, and record the quotient and remainder
657
328,1
164,0
82,0
41,0
20,1
10,0
5,0
2,1
1,0
So chain the remainders from bottom up to get the binary number:
1010010001
Check:
1+16+128+512=657 checks.
If;
A = Adjacent
O = Opposite
H = Hypotenuse
Then,
Sin Ф = O/H
Cos Ф = A/H
Therefore,
(Sin Ф)/Cos Ф) = (O/H)/(A/H) = (O/H)*(H/A) = O/A
Now,
tan Ф = O/A ----
Therefore, it is true that
tan Ф = SinФ/CosФ
Answer:
Each shade has a 22.5 degree angle from the middle
Each unshaded has a 67.5 degree angle from the middle.
Step-by-step explanation:
You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:
x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360
Combine Like terms:
16/3x = 360
Multiply both sides by the opposite:
(3/16) (16/3x) = (360) (3/16)
x=135/2 or x=67.5
Then you can plug 67.5 in for x:
1/3x ---> 1/3(67.5) = 22.5
