Fill in the blank with the correct number.

Mathematics

1 answer:

liberstina [14]3 years ago

8 0

Answer:

and it is correct because it is

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Which puf the symbols correctly the two Numbers 45?45

Mila [183]

I assume you're saying what symbol would go in the middle. 45 is equal to 45. Therefore, you would write it as 45 = 45.

Done! :) Hope this helps

4 0

2 years ago

3. Why is a square both a rhombus and a rectangle?

Korolek [52]

A rhombus is a shape that has all four sides equal, whether they be in the shape of a parallelogram, or a square, if it has all four sides equal length, it's a rhombus. The definition of a rectangle, is a shape that has four right angles. (90 degrees).

So, if a square has all four sides equal, and four right angles, it can be both a rhombus and a rectangle.

Not all rhombuses are squares, because not all have four right angles. Not all rectangles are squares, because they do not all have four equal sides. Not all rectangles are rhombuses because they do not have four equal sides.

But all squares are a rhombus and all squares are a rectangle.

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2 years ago

1. The prism-shaped roof has equilateral triangular bases. Create an equation that models the height of one of the roof's triang

Mandarinka [93]

1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythegorean theorem, as shown in the picture, the height is $\frac{ \sqrt{3} }{2} a$

2. if a a=25 ft, then the height is $\frac{ \sqrt{3} }{2} a=\frac{ \sqrt{3} }{2} *25= \frac{1.732}{2}*25= 21. 7$ (ft)

3. consider picture 2. Let the length of the roof be l feet.

one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l
the lateral Area of the roof is 3a*l

the area of the equilateral surfaces is $2*( \frac{1}{2} *a* \frac{ \sqrt{3} }{2}a )=\frac{ \sqrt{3} }{2} a^{2}$

so the total area of the roof is $\frac{ \sqrt{3} }{2} a^{2} +3al$

4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.
So the total area found previously will be decreased by al

5. so the area now is $\frac{ \sqrt{3} }{2} a^{2} +2al$

6. now a=25 and l=2a=50

Area= $\frac{ \sqrt{3} }{2} a^{2} +2al=\frac{ \sqrt{3} }{2} * 25^{2}+2*25*50=25 ^{2} (\frac{ \sqrt{3} }{2} +4)=625*4.866$

=3041.3 (ft squared)