These calculations are based on the drawing of the file enclosed.
There are three right triangles.
From the big right triangle:
a^2 + b^2 = 25^2
From the small right triangle on the left side:
(25-x)^2 + 10^2 = a^2
From the small right triangle on the right side
x^2 +10^2 = b^2
=> (25-x)^2 + 10^2 + x^2 + 10^2 = a^2 + b^2
=> (25-x)^2 + 10^2 + x^2 + 10^2 = 25^2
=> 25^2 - 50x + x^2 + 10^2 + 10^2 = 25^2
=> x^2 -50x + 100 =0
Use the quadratic formular to find the roots:
x = 2.1 and x = 47.9
Distance from back: 25 - 2.1 = 22.9 ft
Answer: 22.9 ft
What do you need help with? it helps us to know the question!
Answer:
0.285
Step-by-step explanation:
28.5/100 = 0.285
31. At the candy store:
=> Ericka bought 3 kilograms of Cinnamon red hots and 1 kilograms of gummy bears for 21.00 dollars.
=> Irene bought 3 kilograms of cinnamon red hots and 3 kilograms of gummy bears for 39.00 dollars.
Question: Find the costs of each kilograms.
Notice that the cinnamon red hot that they both are the same, the only difference is the gummy bears, which added 2kilos for Irene.
Now, let’s subtract
=> 39 – 21 = 18 dollars – this is the costs of 2 kilos of gummy bear
=> 18 / 2 = 9 dollars, thus the price of each kilos of gummy bear is 9 dollars,
Now, let’s solve for the cinnamon
=> 21 – 9 = 12 dollars, to be divided with 3 kilos
=> 12 / 3 = 4 dollars – the price of cinnamon red hot per kilo.
Answer:
b. 1/9
Step-by-step explanation:
1. 1/6 is the probability of rolling 6
2. 4/6 is the probability of rolling less than 5
3. Multiply them: 
4. Answer: 1/9
