You need the Law of Sines for this. In our case we have the measure of angle B and side b, we have the measure of angle A and are looking for side a, or x. Setting up the Law using our info, we have
. We will solve for x by multiplying both sides by sin(42):
, first choice above.
Answer:
$467.05
Step-by-step explanation:
By getting a discount of 20%, it means he pays 100-20=80% of the initial price
80% is same as 0.8
Price after discount will be
0.8*$562=$449.6
Taxation is then subjected to the discounted price. With tax rate of 6% which is equivalent to 0.06 then the total prive incurres will be 106% of the discounted price, same as 1.06
Final price inclusive of tax
1.06*$449.6=$476.576
Since his credit gives 2% discount of everytging then he only pays 98% of the price inclusive of tax
Payable amount
0.98*476.576=467.04448
Rounded off as $467.05
Proportional thinking analyzes proportions to address questions. We can utilize relative thinking to tackle a few inquiries straightforwardly, for example, which size of clothing cleanser is the least expensive per load, for sure the components of the model vehicle ought to be.
Answer: (7n - 2)² = 249
Explanation:
1) Given expression: 7n² - 4n - 14 = 21
2) Transpose - 14 =>
7n² - 4n = 21 + 14
3) Combine like terms =>
7n² - 4n = 35
4) multiply both terms by 7 =>
(7n)² - 4(7n) = 35×7
5) form the squared binomial:
(7n - 2)² - 4 = 35×7
6) Transpose - 4 =>
(7n - 2)² = 35×7 + 4
7) Do the operations on the right side:
(7n - 2)² = 249 or (7n - 2)² - 249 = 0
8) Verify the equivalence by expanding the binomial:
(7n)² - 2(7n) + 4 - 249 = 0
(7n)² - 14n - 245 = 0
Divide by 7: 7n² - 2n - 35 = 0 or 7n² - 2n = 35, which is equivalent to the given expression.
Answer:
121.9
Step-by-step explanation:
I will use pi but not in the answer
use formula V=πr²h
(π)(3.5²)(5.5)
12.25 × 5.5=67.375 × π=211.6648...
1/2(4/3(π(3.5³))
4/3(42.875)=57.166...× π = 179.59438...
1/2(179.59438...) = 89.79719...
211.6648... - 89.79719... = 121.86761... ≈ 121.9
