Answer:
<h2>(3 + i)(4 + 2i) = 10 + 10i</h2>
Step-by-step explanation:
Use FOIL: (a + b)(c + d) = ac + ad + bc + bd
and i² = -1
8 4/100 = 8.04, as the ".00" is out of 1.00.
4/10 = 0.40
4 7/100 = 4.07
6/10 = 0.60
8 3/100 = 8.03
8/10 = 0.80
4/100 = 0.04
10 14/100 = 10.14
The quick way to determine what the decimal is, is to divide 100 by the denominator. That way, each time the numerator goes up, you can multiply how many times it goes up by the denominator.
I hope this helps!
Answer:
c = 13.2
Step-by-step explanation:
* Lets explain how to solve the problem
- In Δ ABC
# Side a is opposite to ∠A
# Side b is opposite to ∠B
# Side c is opposite to ∠C
- The sine rule is:
# 
* Lets solve the problem
- In Δ ABC
∵ m∠A = 16°
∵ m∠B = 49°
∵ The sum of the measures of the interior angles of a triangle is 180°
∴ m∠A + m∠B + m∠C = 180°
∴ 16° + 49° + m∠C = 180°
∴ 65° + m∠C = 180° ⇒ subtract 65° from both sides
∴ m∠C = 115°
- Lets use the sine rule to find c
∵ a = 4 and m∠A = 16°
∵ m∠C = 115°
∵ 
- By using cross multiplication
∴ c sin(16) = 4 sin(115) ⇒ divide both sides by sin(16)
∴ 
* c = 13.2
Answer:
sorry i can't see it properly I am very sorry
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.
