Answer:
x = 45
y = 60
Step-by-step explanation:
2x = 90
2x (1/2) = 90 (1/2)
x = 45
3y - 2y = 90
3y - 2(45) = 90
3y - 90 = 90
3y - 90 (+90) = 90 (+90)
3y = 180
3y (1/3) = 180 (1/3)
y = 60
Hope this helps :)
Answer:
272 cm²
Step-by-step explanation:
Step 1
We have to find the scale factor
When given the volume of two solids, the formula for the scale factor is
V1/V2 = (Scale factor)³
The volume of Pyramid A is 704 cm³ and the volume of Pyramid B is 297 cm³
V1 = Pyramid A
V2 = Pyramid B
704/297 = (scale factor)³
We simplify the left hand side to simplest fraction
The greatest common factor of 704 and 297 = 11
704÷11/297÷11 = (scale factor)³
64/27 = (scale factor)³
We cube root both sides
cube root(scale factor)³ = cube root (64/27)
scale factor = (4/3)
Step 2
(Scale factor)² = S1/S2
S1 = Surface area of Pyramid A =?
S2 = Surface area of Pyramid B = 153 cm²
Hence,
(4/3)² = S1/153
16/9 = S1/153
Cross Multiply
S1 × 9 = 16 × 153
S1 = 16 × 153/9
S1 = 272 cm²
Therefore, the Surface Area of Pyramid A = 272 cm²
Listing out a few elements of the set of perfect squares, we get the following values
{1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...}
we can stop there because 82 is between 81 and 100
So if x^2 = 82, then x^2 is between 81 and 100 meaning
81 < x^2 < 100
apply the square root to all sides of the compound inequality and we get
9 < x < 10
So the square root of 81 is between 9 and 10
Answer: the value falls between 9 and 10
Answer:
-5x - 16y - 24z
Step-by-step explanation:
5x - 2y - 6z - 10x - 14y - 18z
5x - 10x - 2y - 14y - 6z - 18z
-5x - 16y - 24z
Ok. To simplify an improper fraction, we need to find out how many times the numerator can go into the denominator. That will be our whole number.
How many times does 107 go into 10?
107/10 = 107 can go into 10 at least 10 times.
10*10 = 100
Now we need to subtract 107 - 100 = 7.
Since we have a remainder of 7, that is our denominator over 10.
10 7/10
We do not need to simplify anymore.
Final answer: