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Nady [450]
3 years ago
7

Suppose that four times the square of a number equals 20 times that number. What is the number?

Mathematics
1 answer:
Mrac [35]3 years ago
3 0
The answer is 5.
You can divide 20 by 4 and get 5
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Which dimensions can create more than one triangle? A. Three angles measuring 75°,45°, and 60°. B. 3 sides measuring 7, 10, 12?
NeTakaya

This is vague.  Any dimensions that make a triangle can make more than one, just draw another right next to it.  What's really being asked is which dimensions can make more than one non-congruent triangle.

<span>A. Three angles measuring 75°,45°, and 60°.

That's three angles, and 75+45+60 = 180, so it's a legit triangle. The angles don't determine the sides, so we have whole family of similar triangles with these dimensions.  TRUE

<span>B. 3 sides measuring 7, 10, 12?

</span>Three sides determine the triangles size and shape uniquely; FALSE

<em>C. Three angles measuring 40</em></span><span><em>°</em></span><em>, 50°</em><span><em>, and 60°? </em>

40+50+60=150, no such triangle exists.  FALSE

<em>D. 3 sides measuring 3,4,and 5</em>

Again, three sides uniquely determine a triangle's size and shape;  FALSE


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Find the slant height of a square pyramid with base edges of 12 cm and an altitude of 8 cm?
liberstina [14]
To find the slant height we must take apart the pyramid first. Let us cut it in half. There we can easily see that the slant height is really just the hypotenuse of the triangle formed by half the base and the altitude.

Half the base length would be 6 cm.

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The slant height should be 10 cm. Hope this helps!
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