Answer:
<h3>Hence required integers are 11 and 13</h3>
Let x an odd positive integer
Then, according to question
x^2 +(x+2)^2=290
2x^2 +4x−286=0
x^2 +2x−143=0
x ^2+13x−11x−143=0
(x+13)(x−11)=0
x=11 as x is positive
Hence required integers are 11 and 13
Step-by-step explanation:
Hope it is helpful....
Answer:
i) pi×4500 cm³
ii) pi×600 cm²
iii) 14 liters
Step-by-step explanation:
in general : the diameter is 30 cm, the radius is half of that (15 cm)
i)
the volume of a cylinder is base area times height.
Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³
ii)
similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.
surface area of the cylinder mantle is
Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²
iii)
for this we need now to do the multiplication with pi and then convert the cm³ to liters.
1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³
pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters
Answer:
4x - 12 = 28
To isolate 4x, we add 12 to both sides:
4x - 12 + 12 = 28 + 12
so
4x = 40
Now we divide 4 from both sides:
x = 40 / 4
so x = 10
Answer:
see explanation
Step-by-step explanation:
Multiplying or dividing each part of the ratio gives an equivalent ratio
Given
8 : 20 ← divide both parts by 2
= 4 : 10 ← divide both parts by 2
= 2 : 5 ← ratio in simplest form
Multiply both parts by 2
8 : 20 = 16 : 40
4 : 10, 2 : 5, 16: 40 ← are possible equivalent ratios
Answer:
$643.50
Step-by-step explanation:
Let i be the profit realized from the sale and d be the discount made on the sale:
#John's selling price can be calculated by first adding profit, i to $450, the d to the new price as:
![P_n=P_o(1+i)+d[P_o(1+i)]\\=450(1+0.3)+0.1[450(1+0.3)]\\\\\\=450\times 1.3+0.1(450\times1.3)\\\\=585+58.5\\\\=643.50](https://tex.z-dn.net/?f=P_n%3DP_o%281%2Bi%29%2Bd%5BP_o%281%2Bi%29%5D%5C%5C%3D450%281%2B0.3%29%2B0.1%5B450%281%2B0.3%29%5D%5C%5C%5C%5C%5C%5C%3D450%5Ctimes%201.3%2B0.1%28450%5Ctimes1.3%29%5C%5C%5C%5C%3D585%2B58.5%5C%5C%5C%5C%3D643.50)
Hence, John will resell the bike at $643.50
