Answer:
7inches
Step-by-step explanation:
1x7
To find equivalent ratios just factor the same number to both numerator and denominator. I will make the ratios simple by multiplying 2/2 and 3/3 to the originals. To check, set as fraction and cross multiply and you should have the same number. I will show you how to check by doing it to the first ratio.
8:5 16:10 24:15
Check:
8/5 = 16/10
(8)(10)=(5)(16)
80=80
8/5=24/15
(8)(15)=(5)(24)
120=120
4:19 8:38 12:57
6:23 12:46 18:69
Four times the sum of a number and 15 is at least 120
Let ‘x’ represent the number.
"The sum of a number and 15"
This can be written mathematically as x + 15
Given that 4 times this sum is at least 120,
This means that 4 times the sum is greater than or equal to 120
This can be written mathematically as 4(x + 15) >= 120
Solving for x
4(x + 15) >= 120
4x + 60 >= 120
4x >= 120 – 60
4x >= 60
x >= 60/4
x >= 15
x is greater than or equal to 15
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Answer:
The diagonal is 14sqrt(2) ft
Step-by-step explanation:
The area of a square is given by
A =s^2 where s is the side length
196 = s^2
Take the square root of each side
sqrt(196) =sqrt(s^2)
14 = s
The side length is 14 ft
Now we can use the Pythagorean theorem to find the length of the diagonal
a^2 + b^2 = c^2
The side lengths of the triangle are s = 14, and the diagonal is the hypotenuse
14^2 + 14^2 = c^2
196+196 = c^2
392 = c^2
Take the square root of each side
sqrt(392) = sqrt(c^2)
sqrt(196 *2) = c
We can separate this into two pieces sqrt(ab) = sqrt(a) sqrt(b)
sqrt(196)sqrt(2) =c
14sqrt(2) = c
The diagonal is 14sqrt(2) ft
