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aleksandr82 [10.1K]
4 years ago
11

How can you check the answer when a division problem has a remainder

Mathematics
2 answers:
Wewaii [24]4 years ago
6 0
<span>We can still use our multiplication method to check our division; you will multiply the quotient (25) by the divisor (5), and then add ourr emainder to the answer to the multiplication problem, like this: Let's try that one more time.</span>
slavikrds [6]4 years ago
3 0
Mathpapa.com is the website to use
You might be interested in
Which two values of x are roots of the polynomial below?<br> 3x2-3x+1
QveST [7]

Answer:

The roots are

x=\frac{1}{6} [3+ i\sqrt{3}]

x=\frac{1}{6} [3- i\sqrt{3}]

Step-by-step explanation:

we have

3x^2-3x+1

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

3x^2-3x+1=0  

so

a=3\\b=-3\\c=1

substitute in the formula

x=\frac{-(-3)\pm\sqrt{-3^{2}-4(3)(1)}} {2(3)}

x=\frac{3\pm\sqrt{-3}} {6}

Remember that

i=\sqrt{-1}

so

x=\frac{1}{6} [3\pm i\sqrt{3}]

The roots are

x=\frac{1}{6} [3+ i\sqrt{3}]

x=\frac{1}{6} [3- i\sqrt{3}]

6 0
3 years ago
A disco ball is shaped like a sphere with a diameter of 16 inches. To the nearest square inch, what is the surface of the disco
Mademuasel [1]
If the diameter is 16 inches, then its radius is half that, r = 8.

\bf \textit{surface area of a sphere}\\\\&#10;A=4\pi r^2\quad &#10;\begin{cases}&#10;r=radius\\&#10;-----\\&#10;r=8&#10;\end{cases}\implies A=4\pi 8^2
5 0
4 years ago
The fifth term of an arithmetic progression is 41 and the sum of the first four terms is 94. Find the common difference.​
iren [92.7K]

Answer:

d = 7

Step-by-step explanation:

The first five terms of an arithmetic progression are

a, a + d, a + 2d, a + 3d, a + 4d

Where d is the common difference

Given the fifth term term = 41, then

a + 4d = 41 → (1)

Given the sum of the first four terms = 94, then

a + a + d + a + 2d + a + 3d = 94, that is

4a + 6d = 94 → (2)

Rearrange (1) expressing a in terms of d by subtracting 4d from both sides

a = 41 - 4d → (3)

Substitute a = 41 - 4d into (2)

4(41 - 4d) + 6d = 94 ← distribute and simplify left side

164 - 16d + 6d = 94

164 - 10d = 94 ( subtract 164 from both sides )

- 10d = - 70 ( divide both sides by - 10 )

d = 7 ← common difference

6 0
4 years ago
Read 2 more answers
given Given AB‾∥DC‾AB ∥ DC and BC‾∥AD‾BC ∥ AD , prove △ABC≅△CDA△ABC≅△CDA by filling out the flowchart below.
vredina [299]

Given:

AB||DC,BC\mleft\Vert AD\mright?

To show that,

\Delta ABC\cong\Delta CDA

First box:

AB||DC(\text{Given)}

Below box to the first box:

\angle BAC=\angle DCA(Parallel\text{ lines cut by the transversal form congruent alternate interior angles)}

Second box:

BC\Vert AD(\text{Given)}

Below box to the second box:

\angle DAC=\angle BCA(Parallel\text{ lines cut by the transversal form congruent alternate interior angles}

Third box in the second row:

AC=AC\text{ (common side)}

Last box:

So, using ASA congruence axiom,

\Delta ABC\cong\Delta CDA

5 0
1 year ago
A class spent hour on art and 1 /3 hours on art and 1 1/3 hours on mathematics. How much time did the class spend on art and mat
Westkost [7]

Answer:

5

_

3

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

6 0
3 years ago
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