Answer:
6 in
Step-by-step explanation:
The <em>area</em> of a picture <em>is</em> 25 7/5 square inches. If the width of the picture is 4 1/2 inches, what is the length? <em>(A=(w)(l) </em>)
Assuming that your "25 7/5 square inches" is not a mistake, then this is equivalent to 26 2/5 square inches.
Converting 26 2/5 sq. in. to an improper fraction, we get 132/5 sq. in., which represents the area of the picture. If the width is 4 1/2 inches, or 9/2 inches, then the length, l, is:
132/5 in^2
l = ------------------
9/2 in
To divide 132/5 in^2 by the fraction 9/2 in, invert 9/2 and multiply:
135 in^2 2
l = -------------- * ------ = 270/9 in = 30/5 in = 6 in
5 9
Answer:
15
Step-by-step explanation:
75/5=15
Answer:
37 dimes
Step-by-step explanation:
i was experimenting. 17 quarters and 37 dimes. 17 times .25 is 4.25. 37 times .10 is 3.70. add them and it's correct.
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.
