Answer:
5 ft
Step-by-step explanation:
When we draw out our triangle, we should see that we have a right triangle and we need to solve for a leg:
Pythagorean Theorem: a² + b² = c²
12² + b² = 13²
144 + b² = 169
b² = 25
b = 5
Answer:
The average rate of change is 8.
Step-by-step explanation:
The formula to calculate the average rate of change of a function F(x) is:
In this case, F(x) = 
a=2 and b=4
You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.
In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:
F(b) = 
F(a) = 
The answer is 8.
Answer:
Let x be the unknown quantity of 50% silver.
Look at the silver concentrations... This will be 0.5x of actual silver,
Added to 5% silver in 500g or 0.05(500)g of actual silver
Totaling to (500+x)g of 20% silver which will have 0.2(500+x)g of silver
Your equation is:
0.5x + 0.05(500) = 0.2(500+x)
Solve for x to find the grams of 50% silver used
Step-by-step explanation:
sana maka tulong po sorry po kung mali
For number 16 we need to write the data as a ratio then convert to a unit rate (amount per 1)...
308/14 = x/1
Cross multiply
14x = 308
x = 308/14
x = 22
So the fuel efficiency is
22 miles per 1 gallon or
22/1
For number 17, since the car was driven at 48 mph, we just have to divide distance driven by speed to get how long it took...
288 miles ÷ 48 mph =
6 hours
