Answer:
Option D
Step-by-step explanation:
From the picture attached,
In the parallelogram ABCD,
Length of diagonals AC and BD are equal.
By the property,
"If the lengths of the diagonals of a parallelogram are equal, parallelogram will be a rectangle".
Therefore ABCD is a rectangle.
That means all interior angles of the given rectangle will be 90°.
Now we apply Pythagoras theorem in right triangle ΔABC,
AC² = AB² + BC²
(22)² = (12)² + (BC)²
484 - 144 = (BC)²
BC = √340
BC = 18.44 inches
Dimensions of the given box are 12 inches by 18.44 inches.
Dimensions of the rectangular tray is 11.5 inches by 18 inches.
Since, dimensions of the box are larger than the dimensions of the tray, tray can be adjusted in the box.
Therefore, Option D will be the answer.
Answer:
Step-by-step explanation:So we know x + y = 21 and 5x +10y = 165 We line them up in columns x + y = 21 5x +10y = 165 To eliminate the x variable, I'll multiply every element in the 1st equation by -5. -5x + -5y = -105 5x + 10y = 165 Now we combine (add) the equations, which eliminates x altogether. 5y = 60 ... y = 12 From there, x + 12 = 21 ... x = 21-12 ... x = 9 You should double check. Do 9 nickles and 12 dimes equal $1.65? A very important thing to remember using this method is to do the same thing to each element in the equation that you change! I hope that helps.
Order the numbers from least to greatest. a –8, −10, 0, 5, 1, −1, 3, −6, −9, −19, 32
krek1111 [17]
Start with -19, -10, -9,-8,-6,-1,0,1,3,5,32
Answer:
5^-4
1 / 5^4
Step-by-step explanation:
5^3 / 5^7
We know a^b / a^c = a^(b-c)
5^(3-7)
5^-4
If you are not allowed to have negative exponents
We know a^-b = 1/a^b
1 / 5^4
