Answer:
The measure of angle CAB is 38 degrees
Step-by-step explanation:
Let me know if you need the explanation.
Answer:
a) the lines coincide, c) the slopes are equal, d) the y-intercept are equal, e) the system has an infinite number of solutions.
Step-by-step explanation:
Each equation is a multiple of the other one. Thus, the system of equation has an infinite of solutions, reports same slopes and y-intercepts and coinciding lines.
Ok so first, the skateboard costs $79.99. The skateboard costs 12% less with discount now so you have to pay 12% less.
You start by finding 12% of 79.99. This can be easily done by hand or with a calculator. Do 0.12 times 79.99. The answer is 9.5988. Since its 12% less we now subtract $9.5988 from $79.99. We get $70.3912. So this is the discounted price.
Now for the state sales tax. The sales tax is 6.75% which is equal to 0.0675. Like we did before, we multiplied .0675 by the value we wanted this percent of. But we can do a short way instead. Instead of getting 6.75% of $70.3912 and then adding it back to $70.3912, we can multiply $70.3912 by 1.0675 and this will do all the work for us.
So now, do $70.3912 times 1.0675 and you will have the answer. The answer is $75.142606, but wait, now we will round this to hundredths place as cents place ends their, and so the final answer will be $75.14.
Answer:
456,976,000
Step-by-step explanation:
The total number of possibilities is the product of the number of possibilities in each of the character positions:
10 · 10 · 10 · 26 · 26 · 26 · 26
= 10^3 · 26^4 = 456,976,000
Well you would do 1/2bh, 11 x 3 is 33 so half of that is 16.5
