Answer:
VII,V,IV,VI
Step-by-step explanation:
<u>Part 1) </u>To find the measure of ∠A in ∆ABC, use
we know that
In the triangle ABC
Applying the law of sines
in this problem we have
therefore
<u>the answer Part 1) is</u>
Law of Sines
<u>Part 2) </u>To find the length of side HI in ∆HIG, use
we know that
In the triangle HIG
Applying the law of cosines
In this problem we have
g=HI
G=angle Beta
substitute
therefore
<u>the answer Part 2) is</u>
Law of Cosines
You want to find values of v (number of visors sold) and c (number of caps sold) that satisfy the equation
... 3v + 7c = 4480
In intercept form, this equation is
... v/(1493 1/3) + c/640 = 1 . . . . . divide by 4480
Among other things, this tells us one solution is
... (v, c) = (0, 640)
The least common multiple of 3 and 7 is 21, so decreasing the number of caps sold by some multiple of 3 and increasing the number of visors sold by that same multiple of 7 will result in another possible solution.
The largest multiple of 21 that is less than 4480 is 213. Another possible solution is (0 +213·7, 640 -213·3) = (1491, 1)
We can also pick some number in between, say using 100 as the multiple
... (0 +100·7, 640 -100·3) = (700, 340)
In summary, your three solutions could be
... (visors, caps) = (0, 640), (700, 340), (1491, 1)
Using proportions, it is found that she will pay $8.28 in total after the discount.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Before tax, the total price is given by:
P = 3.59 + 4.25 + 3.99 = $11.83.
She gets a 30% discount, hence the proportion she pays is 70% of this amount, hence:
P = 0.7 x 11.83 = $8.28.
She will pay $8.28 in total after the discount.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
Step-by-step explanation:
10x^2(3x^2 - 5x) Remove the brackets (Distributive Property)
10*3*x^2 * x^2 - 5x * 10x^2
30 x^(2 + 2) - 5*10x^(2+1)
30x^4 - 50x^3
