Hello from MrBillDoesMath!
Answer:
58
Discussion:
Suppose the 2-digit number is "ab". That is, 10a + b.
Sum of digits = 13 => a + b = 13 (*)
Digits reversed if 27 added to number => (10a + b) + 27 = 10b + a (**)
(**) =
(10a + b) + 27 = 10b + a => subtract 10b, then a, from both sides
9a -9b = -27 => divide both sides by 9
a - b = -3
From (*), a+ b = 13 so
(a-b) + ( a+b) = -3 + 13 =>
2a = 10 =>
a = 5
As a +b = 13, 5 + b = 13 => b = 8
Hence the number "ab" is 58
Thank you,
MrB
The formula to find the volume of a prism is V=Bh (Volume = Base x height). Let's plug in the dimensions you were given:
V=Bh
V=(5)(10)
V=50 {tex] ft^{2} [/tex]
To find the new volume of the dilated prism, cube the dilated factor, then multiply by the volume you just found (old volume):
New Volume = (
)(Old Volume)
V = (
)³·50
V = (
V = 86.4
5 is the <em>smallest</em> number by which 35280 must be multiplied so that the product will be a <em>perfect</em> square.
<h3>What number must be an integer multiplied by to find a perfect square? </h3>
A number is a <em>perfect</em> square if the following property is satisfied:
a = b², where is a <em>natural</em> number.
Please notice that b can be either a <em>prime</em> number or a product of <em>prime</em> numbers.
Initially, we proceed to factorize 35280 by factorial decomposition, that is, as a product of <em>prime</em> numbers:
35280 = 2⁴ × 3² × 5 × 7²
35280 = (2²)² × 3² × 5 × 7²
35280 = 4² × 3² × 5 × 7²
Then, we must add a 5 to find a product that is a perfect square:
4² × 3² × 5² × 7² = 176400
5 is the <em>smallest</em> number by which 35280 must be multiplied so that the product will be a <em>perfect</em> square.
To learn more on prime numbers: brainly.com/question/9315685
#SPJ1
Answer:
1178.25cm^3
Step-by-step explanation:
Volume of a cylinder is given as V = Pi x r^2 xh
PI= 3.142
R = 5cm
H=15cm
So volume = 3.142 x 5cm x 5cm x 15cm
= 1178.25cm^3
