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3 years ago

NEAD HEALP SOLVING THIS QUESTION

Mathematics

1 answer:

docker41 [41]3 years ago

6 0

Answer:

obtuse triangle, because 22^2 + 51^2 = 54^2

Step-by-step explanation:

Well an easy way to start it off would be to draw it.

When you draw it out, it makes it easier to see and determine what type of triangle it is so you can use process of elimination.

I've included a picture so you can see.

As you can see, the blue represents the angle that's different than the rest. Since its larger than 90 degrees its an obtuse angel.

Even though there's two acute angels, the triangle is obtuse.

So we can use process of elimination to determine that its not the first two.

Next, to determine if it is obtuse or acute, usually your supposed to use a^2 + b^2 = c^2

So lets do that.

A=AB (22)

B=AC (51)

C=BC (54)

C will always be the largest side.

so lets set it up. 22^2 + 51^2 > 54^2

22^2 = 484

51^2 = 2601

54^2 = 2916

484 + 2601 > 2916

3085 > 2916

The statement is true showing that its obtuse.

If c was equal to a and b then it would be right.

If a and b was less than c then it would be acute.

So the answer would be the last option.

If you ever need more help, don't be afraid to reach out. I hope that helps!

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If an item is purchased at $500 and it’s value increases at a rate of 5% per year what is the value after four years

qaws [65]

The value of $500 after four years is $610

<u>Step-by-step explanation:</u>

It is given that, the value of $500 increases at a rate of 5% per year.

The exponential formula is given by $y = ab^{x}$ .

where,

a is the initial amount.
b is the growth factor .

The growth factor b is replaced by either (1 + r) or by (1 - r).

where, r is the rate per year.

b= (1+r) represents the increase in growth rate.

b= (1-r) represents the decrease in growth rate.

Here, the growth rate is increased. So the formula is given by $y = a(1+r)^{n}$

where,

The initial amount, a = 500.
Rate, r = 5% = 5/100 = 0.05
Number of years, n= 4.
y = value of the item after 4 years

<u>To find y value :</u>

⇒ $y = 500(1+0.05)^{4}$

⇒ $y = 500 (1.05)^{4}$

⇒ $y = 500 \times 1.22$

⇒ $y = 610$

Therefore, the value of the item after four years is $610.

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3 years ago

What is the simplified form of (x+5/3x+4)+(x+4/x+3)

kolbaska11 [484]

4x^2+24x+31/3x^2+13x+12

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3 years ago

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max2010maxim [7]

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Step-by-step explanation:

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3 years ago

Determine if each graph below represents a function. Then state its domain and range. PLEASE HELP!!!! WILL MARK BRAINLIEST. NEED

Montano1993 [528]

Answer: Graph 10 and 12 are both functions while graph 13 is not a function

Step-by-step explanation: The best way to know if the graph is a function is by the vertical line test, if the points on the graph pass through the straight vertical line more than once, it is not a function, but if it passes though the line only once then it is a function. Now for the Domain and range, the best way to see it is as DomainX and RangeY, this is something I learned when I did functions, and it helped me a lot. Now if you look at 10 and 12, both go on infinitely, as they have no stopping point, meaning that the domain would be (-infinity, infinity), and for 13 you can simply put the coordinates for each point in a chart, with your X and Y, remember DomainX and RangeY, this should help you understand which is X and which is Y. I hope this helped a bit. Now for RangeY, for 10, look for the lowest number in the Y axis that the line goes, for this case its, -1, and then look for the highest number on the Y axis that the line goes, aka 3, now use this as a example and you can easily find 12's Range.

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4 years ago

Alisha designs a new tea blend by mixing Sweet Rose Tulsi tea with Orange blossom green tea. Sweet rose tea sells for $4.98 an o

loris [4]

Answer: She should use 12 ounces of Sweet Rose Tulsi tea and 4 ounces of Orange blossom green tea.

Step-by-step explanation:

Let x represent the number of ounces of Sweet Rose Tulsi tea that she should use.

Let y represent the number of ounces of Orange blossom green tea that she should use.

She wants to blend 16 ounces of the tea blend. It means that

x + y = 16

x = 16 - y

Sweet rose tea sells for $4.98 an ounce and Orange Blossom sells for $1.98 an ounce. If the the tea blend is to sell for $4.23 per ounce, then the 16 ounces would be sold for 16 × 4.23 = 67.68

it means that

4.98x + 1.98y = 67.68- - - - - - - - - - -1

Substituting x = 16 - y into equation 1, it becomes

4.98(16 - y) + 1.98y = 67.68

79.68 - 4.98y + 1.98y = 67.68

- 4.98y + 1.98y = 67.68 - 79.68

- 3y = - 12

y = - 12/-3

y = 4

x = 16 - y = 16 - 4

x = 12

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4 years ago