Answer:
2i: 169.71
2ii: 0.17L
3a: 4×10⁻⁵
3b: 110011
Step-by-step explanation:
2i. The surface of the top and bottom of the tin is two times (top and bottom) π·r² = 2·π·3² = 18π cm².
The circumference of the circle is 2·π·r = 6π cm².
The area of the material connecting top and bottom is a rectangle of the tin height times the circumference: 6·6π = 36π cm².
This gives a total of 18π + 36π = 54π cm².
With π approximated by 22/7 the total surface area is 54*22/7 ≈ 169.71.
Notice how the calculation is simple by waiting until the very last moment to substitute π.
2ii. The volume is the area π·r² of the circle times the height of the tin: 9π*6 = 54π cm³ ≈ 169.71 cm³.
Since 1L = 1000 cm³ the volume is 0.16971 litres, which should be rounded to 0.17 L.
3a: If we rewrite P as 36 x 10⁻⁴ and realize that 36/2.25 = 16, then the fraction can be written as
16 x 10⁻⁴⁻⁶ = 16 x 10⁻¹⁰.
The square root of that is taking it to the power of 1/2, so (16x10⁻¹⁰)^0.5 = 4x10⁻⁵ = 0.00004
3b: 1111 1111 is 255 in decimal. 101 is 5 in decimal. 255/5 is 51 in decimal. 51 in binary is 110011.
Answer:
8 units
Step-by-step explanation:
In a 45°- 45°- 90° triangle the legs are congruent, thus
3x - 10 = x + 2 ( subtract x from both sides )
2x - 10 = 2 ( add 10 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Thus
3x - 10 = 3(6) - 10 = 18 - 10 = 8
Since legs are congruent then they are both 8 units
Step-by-step explanation:
<h2>GIVEN:-</h2>
The Perimeter of Equilateral triangle = 60cm
<h2>UNDERSTANDING THE CONCEPT:-</h2>
According to the question,
To find the height of the triangle,
Perimeter of Equilateral triangle = Area of Equilateral triangle.
<h2>FORMULA USED:-</h2>
![60 = \frac{ \sqrt{3} }{4} a {}^{2} \\](https://tex.z-dn.net/?f=60%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B4%7D%20a%20%7B%7D%5E%7B2%7D%20%20%5C%5C%20)
<h2>REQUIRED ANSWER:-</h2>
![60 \times 4 = \sqrt{3a {}^{2} }](https://tex.z-dn.net/?f=60%20%5Ctimes%204%20%3D%20%20%5Csqrt%7B3a%20%7B%7D%5E%7B2%7D%20%7D%20)
![a {}^{2} = 240 \sqrt{3} \\](https://tex.z-dn.net/?f=a%20%7B%7D%5E%7B2%7D%20%20%3D%20240%20%5Csqrt%7B3%7D%20%20%5C%5C%20)
![a = 120 \sqrt{3} cm](https://tex.z-dn.net/?f=a%20%3D%20120%20%5Csqrt%7B3%7D%20cm)
<h3>SO, The Exact height of the triangle is 120√3cm.</h3>
Answer:
Step-by-step explanation:
<u>Mike's speed:</u>
<u>Son's speed:</u>
<u>Speed of both together:</u>
- 1/3 + 1/6 =
- 2/6 + 1/6 =
- 3/6 = 1/2
They can build 1/2 wall in an hour
or
Build a wall in 2 hours