Whats the best type of graph for the spread of a roller coaster overtime

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)

7 0

3 years ago

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Identify the quadrilateral that has four congruent angles that has two pairs of parallel sides

Anna11 [10]

Answer:

Rhombus

Step-by-step explanation:

Rhombus: A quadrilateral with four congruent sides and two pairs of parallel sides.

<h3>Hope it is helpful...</h3>

6 0

2 years ago

Select the two pairs of figures that are similar.

alexira [117]

Answer:

It's the first one, the one that has the triangles.

Step-by-step explanation:

They only have a difference of 2. Multiplying the small one by 2 equals the larger one. Doing the opposite and dividing 2 by the larger one gives you thee small triangle. they both have the same angles which makes them similar.

3 0

2 years ago

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Am stuck on this question and show your working please.

Tamiku [17]

Answer:

1. 6pi or 18.84cm

2. 20pi or 62.8cm

3. 13pi or 40.82cm

4. 9.5pi or 29.83cm

5. You calculate the circumference of a circle with the expression 2pi(r). r stands for the radius. You can also use pi(d), or pi x diameter.

7. You would use 2pi(r) to find the circumference of a circle when given the value of the circle's radius.

8. You would use pi(d) to find the circumference of a circle when given the value of the circle's diameter.

5 0

3 years ago

A man is cleaning the roof of his house. He figures that his 15ft ladder will be stable if it leans on the house at a 55 angle h

Romashka-Z-Leto [24]

Answer:

the answer i think is 3.6

4 0

3 years ago