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Sindrei [870]
3 years ago
11

A school wants to build a rectangular playground that will have a diagonal length of 75 yards. How wide can the playground be if

the length has to be 30 yards?
Mathematics
1 answer:
Marianna [84]3 years ago
3 0
The answer would be 112 yards! It's simple because all you've got to do is use the Pythagorean Theorem! Oh! You should also go check out Socratic, it's a good app for this stuff!

~Hope this helped~
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HELPPPP What is the volume of the square pyramid? Use Pythagorean’s Theorem to find the height of the pyramid
aalyn [17]

Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

V=\frac{s^2h}{3}

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.

Find the height with the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h

Then, you can find the height:

(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm

Then, knowing that:

s=23mm\\h=23.318mm

You can calculate the volume:

 V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3

3 0
3 years ago
What is the LCD of the following rational expressions?
Aloiza [94]
\dfrac{x}{x+1} \ , \  \dfrac{7x}{x-1}

\dfrac{x (x -1)}{(x+1)(x -1)} \ , \  \dfrac{7x(x+1)}{(x-1)(x+ 1)}

<u>We know that (a + b)(a - b) = a² - b²:</u>

\dfrac{x (x -1)}{x^2 - 1}} \ , \ \dfrac{7x(x+1)} {x^2 - 1}

Answer: LCD = ( x + 1) (x - 1)
8 0
2 years ago
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​ ∠3 ​ and​ ​ ∠4 ​ ​are complementary adjacent angles. m∠4=49° What is the measure of ​​ ∠3 ​?
neonofarm [45]
41°. 90-49=41 mmkmmmm
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3 years ago
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4. From 5 faculty members, a committee of 2 is to be formed. In how many ways can this be done?
ohaa [14]

Answer:

3

Step-by-step explanation:

7 0
3 years ago
Janna spends 1.25 hours of her 8 hour work day answering email messages. What percentage of the work day is this time
dusya [7]
1.25 divided by 8 =0.15635×100=15.6% or round up to 16%
3 0
2 years ago
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