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stealth61 [152]
3 years ago
15

What is angle B? Round the value to the nearest degree

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer: m\angle B=46\°

Step-by-step explanation:

For this exercise you need to use the Inverse Trigonometric function arccosine, which is defined as the inverse function of the cosine.

Then, to find an angle α, this is:

\alpha =arccos(\frac{adjacent}{hypotenuse})

In this case, you can identify that:

\alpha =m\angle B\\\\adjacent=AB=20\ cm\\\\hypotenuse=BC=29\ cm

Then, substituting values into \alpha =arccos(\frac{adjacent}{hypotenuse}) and evaluating, you get that the measure of the angle "B" to the nearest degree, is:

m\angle B=arccos(\frac{20\ cm}{29\ cm})\\\\m\angle B=46\°

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A greeting card company can produce a box of cards for $7.50. If the initial investment by the company was $50,000, how many box
larisa86 [58]

Answer:

If cost of one box of card is $7.50 then the no of cards produced is 6667 cards and if cost of one box of card is $10.50 then the no of cards produced is 4762 cards

Step-by-step explanation:

The cost of one box of cards = $7.50

Initial investment = $50,000

No of box of cards produced = Initial investment / cost of one box of card

No of box of cards produced = 50,000/7.50

No of box of cards produced = 6667 cards.

if the cost of one box of cards is increased = $10.50

No of box of cards produced = Initial investment / cost of one box of card

No of box of cards produced = 50,000/10.50

No of box of cards produced = 4762 cards.

So, if cost of one box of card is $7.50 then the no of cards produced is 6667 cards and if cost of one box of card is $10.50 then the no of cards produced is 4762 cards

5 0
3 years ago
I WILL GIVE U BRAINLIEST, NO LINKS. ITS JUST 1 QUESTION
4vir4ik [10]
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6 0
3 years ago
Im desperate like most of my question-
kvv77 [185]
<h3>Answer: 9.75 dollars</h3>

===========================================================

Explanation:

There are two ways to solve this problem.

Method 1:

35% = 35/100 = 0.35

35% of 15 = 0.35*15 = 5.25

So you save $5.25, which is the discount amount.

The sale price is 15 - 5.25 = 9.75 dollars

---------------

Method 2:

If you save 35%, then you still need to pay the remaining 65%

35% + 65% = 100%

The sale price is 65% of original price

sale price = 65% of original price

sale price = 0.65*15

sale price = 9.75 dollars

---------------

Extra info (optional section)

The benefit of method 2 is that we can chain multiple discounts together. Consider that on top of the 35% discount, the store then decides that members (people who pay monthly) will get an extra 10% off. The natural thinking is that the total discount is 35%+10% = 45% off, but that's not correct.

We can see this if we say that the original price is say $100 and 35% off would lead to a price of 0.65*100 = 65 dollars. Then an extra 10% off means we pay 90% of that new price (65 dollars) to get 0.90*65 = 58.50

As a shortcut, we can just multiply the values of 0.65*0.90 = 0.585

Then note how 100*0.585 = 58.50 showing us a fairly fast way to compute the final sale price even if multiple discounts are applied. This can be extended to more discounts. Again, we do not add the percentages when it comes to figuring out how much the total discount percentage would be.

Since the item was $100 but now it's 58.50, this means we saved 100-58.50 = 41.50 dollars. The discount is therefore 41.50/100 = 41.50% which is close to the 45% calculated earlier, but not quite there.

7 0
3 years ago
Read 2 more answers
Indicate which sets are disjoint to the given set
marysya [2.9K]

If the intersection of two sets is a null set or an empty set, then two sets A and B are disjoint sets. The intersection of a set is therefore empty.

<h3>Explain about the disjoined set?</h3>

Disjoint sets are a pair of sets that do not share any elements. For instance, the sets A=2,3 and B=4,5 are not connected sets. However, set C=3,4,5 and set C=3,6,7 are not disjoint since 3 is a common element in both sets C and D.

Now that we are clear on the disjoint set's definition, let's go on to talking about some more important topics, such the notation and Venn diagram related to it. A B = is the notation used for this particular set. As an illustration, suppose A = 1, 2, 3, and B = 4, 5, 6, 7. A + B = then.

To learn more about disjoined set refer to:

brainly.com/question/28165517

#SPJ1

8 0
1 year ago
Find what equals to x and what equals to y
Nuetrik [128]

Answer:

x=15√2  y=90 degrees.

Step-by-step explanation:

Thanks to the Pythagorean Theorem we know that with any right triangle, A^2+B^2=C^2. In this case we can use 15^2+15^2=sqrt of 450. The square root of 450 is 15 times the square root of 2. Thus x=15√2. Now we need to find y. All angles in a triangle add up to 180 so if we have 45+45+y=180 then y=90.

3 0
2 years ago
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