Answer:
105.495%
Step-by-step explanation:
210.99/200=1.05495
200 * 1.05495 = 210.99
Answer:
Her pin must be 1147
Step-by-step explanation:
A little trick I have up my sleeve when I have these kind of questions is that I find the square root of each number, then find what is prime.
Since the only prime numbers in the range of 31 and 38 is 31 and 37.
We can then multiply 31 by 37 to get 1147.
Answer:
2 cups of clay
Step-by-step explanation:
Given data
we are given that 6 cups of water for every 12 cups of clay
i.e
12 cups of clay require 6 cups of water
4 cups of clay will require x cups of water
cross multiply
12x= 4*6
12x= 24
divide both sides by 12
x= 24/12
x= 2cups
Hence 4 cups of water will require 2 cups of clay
There is no solution for the first one
if you eliminate y you get 2 equations
-13x - 13z = -25
-13x - 13x = -15
- there is no solution to theses
a23 means the element in the second row and the 3rd column
so its -5
So leangh of ladder=2x+1
bottom edgre=x-1
wall edge=2x
so therefor, since this is a right triangle, use pythagorean theorem
a^2+b^2=c^2
c=hypotonues=longest side
b and a=sides touching the right angle
so x-1 and 2x are a and b
2x+1=c
subsitute
(x-1)^2+(2x)^2=(2x+1)^2
x^2-2x+1+4x^2=4x^2+4x+1
add like terms
5x^2-2x+1=4x^2+4x+1
subtract 1 from both sdies
5x^2-2x=4x^2+4x
subtract 4x from both sdies
5x^2-6x=4x^2
subtract 4x^2 from both sides
x^2-6x =0
factor out the x using distributive property which is
ab+ac=a(b+c)
x^2-6x=x(x-6)
(x)(x-6)=0
if xy=0 then assume x and/or y=0
x=0
we remember that one of the side legnths is 2x and if x=0 then the side legnth=0 which is not possible, so we discard
x-6=0
add 6 to both sides
x=6
subsitute and solve
legnth of ladder=2x+1
x=6 subsitute
2(6)+1=12+1=13
legnth of ladder =13 feet
height=2x
2(6)=12
height=12 feet
base=x-1
6-1=5
legnth of ladder=13 feet
height=12 feet
base=5 feet
