Answer:
Step-by-step explanation:
Slope m = 1
Point (1;8)
x1 = 1 and y1 = 8
y - y1 = m(x - x1)
y - 8 = 1(x - 1)
y - 8 = x - 1
y = x - 1 + 8
y = x + 7
Answer: An equilateral triangle can NOT be a right triangle.
Step-by-step explanation:
In a right triangle, however, the 3 angles can NOT be congruent. This is because in a right triangle, one angle equals 90 degrees. Therefore, you can't have 3 angles equal 90 degrees.
The answer is 12,662 books in the math section.
Since the science section represents 1/3 of the total books, divide 75,972 by 3.
75,972 ÷ 3 = 25,324 books in the science section.
Now, subtract 25,324 science books from the total number of books.
75,972 - 25,324 = 50,648 remaining books.
Divide the remaining books by 4 and then multiply by 3.
50,648 ÷ 4 = 12,662 • 3 = 37,986 business books.
Add the science books and business books together.
25,324 + 37,986 = 63,310 science and business books.
Subtract 63,310 from 75,972.
75,972 - 63,310 = 12,662 books in the math section.
Hope I helped!
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.