Answer:
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Step-by-step explanation:
Let the scale be 
and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (
), measured in inches per feet, is equivalent to the following rational number:
We can convert each length by dividing it by scale factor. That is:
Length
Width
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
The computation shows the radius of the circle that is inscribed in the isosceles triangle will be 3.33cm.
<h3>How to calculate the radius?</h3>
From the information given, the isosceles triangle the length of a base is 10 cm and the length of a leg is 13 cm.
Let A = area of the triangle
Let S = semi perimeter of the triangle.
The radius will be: = A/S
where,
The radius will be:
= 3.33cm
In conclusion, the radius is 3.33cm.
Learn more about triangles on:
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The energy of a photon is given by
E = h × v
where:
E is the energy in joules/photon
'h' is the constant 6.63 × 10⁻³⁴
'v' is the frequency 7.55 × 10¹⁴
Substitute 'h' and 'v' into the formula we have
E = (6.63×10⁻³⁴) × (7.55×10¹⁴)
E = (6.63×7.55) × (10⁻³⁴ × 10¹⁴)
E = 50.0565 × 10⁽⁻³⁴⁺¹⁴⁾
E = 50 × 10⁻²⁰ joules/photon
1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.
2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).
3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.
Determine the base of right triangle by using pythagoras theorem.
![\begin{gathered} b=\sqrt[]{(15.7)^2-(8.5)^2} \\ =\sqrt[]{174.24} \\ =13.2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%3D%5Csqrt%5B%5D%7B%2815.7%29%5E2-%288.5%29%5E2%7D%20%5C%5C%20%3D%5Csqrt%5B%5D%7B174.24%7D%20%5C%5C%20%3D13.2%20%5Cend%7Bgathered%7D)
Determine the area of base of figure.
Determine the volume of the figure.
So volume of the figure is 347.82 yards square.
