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valina [46]
3 years ago
10

What is 21/12 written as a mixed number in simplest form?

Mathematics
1 answer:
garik1379 [7]3 years ago
4 0
It is 1 3/4 as a mixed number
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The diagonal length of a rectangular playing field is 76 feet, and its width is 48 feet. How long is the playing field?
Sauron [17]

The length of playing field is 58.9 feet

<u>Solution:</u>

Given that, the diagonal length of a rectangular playing field is 76 feet,  

And its width is 48 feet.  

<em><u>To find: length of playing field</u></em>

Now, we know that, <em>diagonal, width and length of a rectangle will form an right angle triangle with diagonal as hypotenuse. </em>

So, now, in a right angled triangle  we can use pythagorean theorem to find the length

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition, In a right angled triangle ABC we get

c^2 = a^2 + b^2

Where "c" is the length of hypotenuse

"a" is the length of one leg of right angled triangle

"b" is the length of other leg of right angled triangle

\begin{array}{l}{\text {Then, diagonal = width }^{2}+\text { length }^{2}} \\\\ {76^{2}=48^{2}+\text {length }^{2}} \\\\ {\text {Length }^{2}=76^{2}-48^{2}} \\\\ {\text {Length }^{2}=5776-2304}\end{array}

\begin{array}{l}{\text { Length }^{2}=3472} \\\\ {\text { Length }=\sqrt{3472}} \\\\ {\text { Length }=58.92}\end{array}

Hence, the length of the rectangular field is 58.9 feet

7 0
3 years ago
What is 8.478 in word form?
lys-0071 [83]
Eight thousand four hundred and seventy eight
8 0
3 years ago
Read 2 more answers
6. What is the value of the underlined digit in<br> 5,436,788?
kondaur [170]
It’s in the millions place
6 0
3 years ago
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Which is an equation in point-slope form for the given point and slope?
xxMikexx [17]

Hi There!

Solution,

Point Slope Form: y - y1 = m(x - x1)

Now you have a reference equation of what the answer should look like.

By looking at the answer choices you can eliminate A.

Tip: When you have a negative number you are going to add. For Example, if you have -8, you will input x + 8 or y + 8.

Tip 2: When you have a positive number you are going to subtract. For Example, if you have 3 you will input x - 3 or y - 3.

We can eliminate B because its not subtracting 3.

We can also eliminate C because its not adding -8.

The best answer choice is D.

Answer,

y – 3 = 6(x + 8)

I hope you understand, so you can do this in the future on your own.

Hope This Helps :)

4 0
3 years ago
What does this mean?
Mademuasel [1]

Means multiply 2 3/2×6 ok

4 0
3 years ago
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