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horrorfan [7]
3 years ago
7

A 100-foot ramp is tilted at a 45° angle. How high is the top of the ramp from the ground?

Mathematics
1 answer:
Paraphin [41]3 years ago
5 0
Check the picture below.

now, let's rationalize the denominator.

\bf \cfrac{100}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{100\sqrt{2}}{\sqrt{2^2}}\implies \cfrac{100\sqrt{2}}{2}\implies 50\sqrt{2}

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You have been invited to be part of the planning committee for the County Fair. In order to be an effective member you will need
elena55 [62]
Firstly let's find the dimension of this large rectangle:(given)

Area of Rectangle = 660 x 66 =43,560 ft²

And we know that 1 acre = 43,560 ft², then each rectangle has an area of 1 acre & the 20 acres will correspond to 20 x 43560 = 871,200 ft²

We know that the 20 acres form a rectangle. We need to know what is their disposition:

1) We would like to know the layout of the rectangles since we have 4 possibilities FOR THE LAYOUTS

Note that W=66 & L=666 = 43,956 ft²/ unit )

lay out shape could be either:(in ft)
1 W by 20 L  (Final shape Linear 66 x 13320 = 879,120) or
2 W by 10 L  (Final shape Stacked  132 x 6660 = 879,120) or
4 W by   5 L  (Final shape Stacked  264 x 3330 = 879,120) or

2) We would like to know the number of participants so that to allocate equal space as well as the pedestrian lane, if possible, if not we will calculated the reserved space allocated for pedestrian/visitors)

3) Depending on the shape given we will calculate the visitor space & we will deduct it from the total space to distribute the remaining among the exhibitors.

4) (SUGGESTION) Assuming it's linear, we will reserve
20ft x 13320 ft = = 266,400 ft² and the remaining 612,720 ft² for exhibitors
5) Depending on the kind of the exhibition, we will divide the 612,720 ft² accordingly
6) How can we select the space allocated for each exhibitor:
 the 617,720 ft² could be written as a product of prime factors:
612720 = 2⁴ x 3² x 5 x 23 x 37
If you chose each space will be185 ft² , then we can accommodate up to 3,312 exhibitors.
Obviously you can choose any multiple of the prime factors to specify the area allocated & to calculate the number of exhibitors accordingly





3 0
3 years ago
What is the value of the expression when n = 3?<br> 6 (n² + 2)<br> n<br> 16<br> 22<br> 30<br> 66
Sauron [17]

Answer: Fourth Choice. 66

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

<u>Given information</u>

n = 3

<u>Given expression</u>

6 (n² + 2)

<u>Substitute values into the expression</u>

=6 (3² + 2)

<u>Simplify exponents</u>

=6 (9 + 2)

<u>Simplify values in the parentheses</u>

=6 (11)

<u>Simplify by multiplication</u>

=\boxed{66}

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
Read 2 more answers
Round 9991.55314546 to the nearest thousand​
algol13

Answer:

9992.0.

Step-by-step explanation:

So eventually untill you get to the 2 you get 9991.5532 but, now since it is *thousand* it would be 9992.0.

Hope it helps.

8 0
4 years ago
ray is late for work but would like to drink some coffee before he leaves the coffee in the pot is too hot so Ray puts 20 small
timama [110]

Volume of the mug: PI r^2 (h)

R ====> Radius

H ====> Height

Radius of mug is:

7 / 2 * 1 / 2 b

===> 3.5cm^3

volume of mug:

===> 3.5^2 * PI r^2 * 9

===> 346 cm^3

20 ice cubes ===> 20 cm^3 is needed:

substract:

20 cm^3 - 346

===> 326 cm^3

The volume of the mug is the area of its base; The mug's height, or πr^2 h. This is; 3.5 cm * 3.5 cm. · 9 · π, or 346.2 cm3. The volume of each ice cube is 1 cubic centimeter, so 20 of them will occupy 20 cm^3.

Answer: This leaves 326 cm^3 for the coffee.

Hope that helps!!!! : )

4 0
3 years ago
5x+2=7x-4 what is x and if you can how you did it
lisov135 [29]

Answer:

x=3

Step-by-step explanation:

2 = 7x−4−5x

2 = 2x−4

2+4 = 2x

6 = 2x

​\frac{6}{2} = x

3 = x

x = 3

3 0
3 years ago
Read 2 more answers
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