What is 648 divided by 4 in long division?

What is 12/6 multiple 2/3

Arada [10]

Answer:

$\frac{4}{3}$

Step-by-step explanation:

Simplify your first fraction.

$\frac{12}{6} =2$

Solve by multiplying your numerators against each other and your denominators against each other.

$\frac{2}{1} *\frac{2}{3} =\frac{4}{3}$

6 0

3 years ago

Read 2 more answers

Write the exact value of the area of a square with a side length of √30 square units? *

liberstina [14]

Answer:

$A=30u^2$

Step-by-step explanation:

Information that we know about the square:

side length: $l=\sqrt{30u^2}$ which can asol be expressed as: $l=\sqrt{30}u$

we can use this information to calculate the area by the formula for the area of a square:

$A=l^2$

we subtitute the side length:

$A=(\sqrt{30}u )^2$

the square root and the squared exponent cancel each other out (because they are opposite operations) and since this is an area it must have squared units:

$A=30u^2$

The exact value of the area of the square is $30u^2$

6 0

3 years ago

Simplify $\frac{1+\sqrt{2}}{2+\sqrt{3}}$. Your solution can be converted to the form $A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})$, where

Zina [86]

Answer:

A+B+C+D = 13

Step-by-step explanation:

The given expression is:

$\dfrac{1+\sqrt{2}}{2+\sqrt{3}}$

We have to simply it and express it in the form of:

$A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})$

Multiply and divide the given expression with $2-\sqrt 3$ :

$\dfrac{1+\sqrt{2}}{2+\sqrt{3}} \times \dfrac{2-\sqrt 3}{2-\sqrt 3}\\\Rightarrow \dfrac{(1+\sqrt{2}) \times (2-\sqrt 3)}{(2+\sqrt{3})\times (2-\sqrt 3)}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{2^2-(\sqrt{3})^2}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{4-3}\\\Rightarrow \dfrac{2(1+\sqrt2)-(\sqrt3+\sqrt6)}{1}\\\Rightarrow 2(1+\sqrt2)-(\sqrt3+\sqrt6)$

It is the simplified form of given expression.

Formula used:

$(a+b)(a-b) = a^{2} -b^{2}$

Comparing the simplified expression with $A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})$

$2(1+\sqrt2)-(\sqrt3+\sqrt6)=A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})\\\Rightarrow A =2, B=2, C=3\ and\ D=6$

So, value of

$A+B+C+D = 2+2+3+6 = 13$

8 0

4 years ago

Meg invested $16,000 in a savings account. If the annual interest rate is 6%, how much will be in the account in 5 years for qua

nexus9112 [7]

Answer:

In 5 years the account will be $ 21,549.68.

Step-by-step explanation:

Given that Meg invested $ 16,000 in a savings account, if the annual interest rate is 6%, to determine how much will be in the account in 5 years for quarterly compounding, the following calculation must be performed:

16,000 x (1 + 0.06 / 4) ^ 5x4 = X

16,000 x 1,015 ^ 20 = X

16,000 x 1.34685500 = X

21,549.68 = X

Therefore, in 5 years the account will be $ 21,549.68.

8 0

3 years ago

I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would

Diano4ka-milaya [45]

Answer- 971.76 yd^3 (btw I used pi not 3.14)
Explanation:
Solve for the volume of the cone
V=pi*r^2*h/3
V=pi*10^2*22/3
V= 2408.55
Next solve for the volume of the sphere
V=4/3*pi*r^3
V=4/3*pi*7^3
V=1436.76
The last step it to subtract the volume of the sphere from the volume of the cone
2408.55-1436.76=971.76

6 0

3 years ago