If the diameter of the smaller circle is 3.5cm, that means the radius is 1.75cm.
The area of the smaller circle is π × 1.75², which is ≈ 9.62112750162.
The diameter of the larger circle is 12.5 cm, so the radius would be half that, which is 6.25cm. The area of the larger circle would be π × 6.25², which is ≈ 122.718463031.
So now that we know the area of the larger circle and the smaller circle, we can find the area of the shaded region by subtracting the area of the smaller circle from the area of the larger circle, which is basically just 122.718463031 - 9.62112750162, which is = 113.097336. The closest answer here is 113.04, hence the answer is 113.04cm².
Answer:
110
50+50=100
5+5=10
100+10=110
(thats how i do mental math)
Answer:
7
Step-by-step explanation:
Step-by-step explanation:
it is a rectangle (usually).
so,
2×length + 2×width = 80
therefore, length + width = 40
length×width = 384
length = 384/width
384/width + width = 40
384 + width² = 40×width
width² - 40×width + 384 = 0
the general solution for such a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = width
a = 1
b = -40
c = 384
width = (40 ± sqrt((-40)² - 4×1×384))/(2×1) =
= (40 ± sqrt(1600 - 1536))/2 =
= (40 ± sqrt(64))/2 = (40 ± 8)/2 =
= 20 ± 4
width1 = 20 + 4 = 24 cm
length1 = 40 - 24 = 16 cm
width2 = 20 - 4 = 16 cm
length2 = 40 - 16 = 24 cm
so, both solutions are the same.
the greeting card is 24×16 cm. or 16×24, depending on how you are holding it.
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- A block of wood has a mass of 3.5 kilogram.
- The wood has density 0.065 kg/m³.
And we need to find out the volume of the wood. Density , volume and mass are related as ,
<u>Density </u><u>:</u><u>-</u>
<u>Substitute</u><u> </u><u>the </u><u>respective</u><u> values</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Hence </u><u>the</u><u> </u><u>volume</u><u> is</u><u> </u><u>5</u><u>3</u><u>.</u><u>8</u><u>4</u><u> </u><u>m³</u><u> </u><u>.</u>
