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3 years ago

Triangle A B C is a right triangle. Find the missing side length.

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

a² + b² = c^2

12^2 + b^2 = 15^2

144 + b^ = 225

225 - 144= 81

b^2 = 81

square root both sides

b = 9

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State the domain of the relation.

gogolik [260]

Answer:

The Domain of the relationship is the set: {-3, -2, -1, 0, 1, 2} (Answer B)

Step-by-step explanation:

Let's recall that the Domain of a relationship is the set of values in the starting set for which there is a correspondent value in the final set.

In this case, we have a set of numbers on the x axis, which are connected with values in the y axis as indicated by the plotting of the points on the (x,y) plane.

The Domain will consist of all those x-values for which we see in the given plot connected to a corresponding y-value.

So, we see that:

the x-value -3 is connected to the y-value -4

the x-value -2 is connected to the y-value -3

the x-value -1 is connected to the y-value -1

the x-value 0 is connected to the y-value 0

the x-value 1 is connected to the y-value 3

and the x-value 2 is connected to two y-values: 4 and 5

Therefore all those x-values are part of the Domain of this relationship. That is, the set: {-3, -2, -1, 0, 1, 2}

7 0

3 years ago

What do we do with the coefficients and exponents when we are multiplying polynomials?

Alina [70]

You have to multiply the coefficient and add the exponents of the variables

5 0

3 years ago

7. A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. What is the effective

Elina [12.6K]

Answer:

The effective interest rate, rounded to the nearest tenth, is 0.1%.

Step-by-step explanation:

The banker's rule is the simple interest formula.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly) and t is the time, in years.

The effective interest rate is given by the following formula:

$E_{IR} = \frac{E}{P}$ .

In this problem, we have that:

A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. We consider that the year has 360 days. This means that $P = 6200, I = 0.0884, t = \frac{40}{360} = \frac{1}{9}$ .

$E = 6200*0.0884*\frac{1}{9} = 60.9$

The effective interest rate is

$E_{IR} = \frac{E}{P} = \frac{60.9}{6200} = 0.0098 = 0.001$

The effective interest rate, rounded to the nearest tenth, is 0.1%.

8 0

3 years ago

Han ran 10 meters in 2.7 seconds.Priya ran 10 meters in 2.4 seconds.Who is faster?

ololo11 [35]

Answer:

Praiya lol

Step-by-step explanation:

Han ran 10 meters in 2.7 secs. Priya ran 10 in 2.4 secs. Do the math

4 0

3 years ago

Read 2 more answers

Which expression is represented by the diagram? o -6-(-1) o -6-1 o -5-(-1) o -5-1

cupoosta [38]

Option A:

–6 – (–1)

Solution:

Minus symbol are given in the diagram.

There are 6 minus symbol in the diagram.

From that expression 1 minus symbol is cancelled.

To find which expression represents this situation:

Option A: –6 – (–1)

Total number of minus = –6

From this cancel one minus: –6 – (–1)

–6 – (–1) = –6 + 1 = –5

So, remaining minus are –5.

This is the correct answer.

Option B: –6 –1

–6 –1 = –7

But note that remaining 5 minus are only there in the diagram.

So, this is not correct answer.

Option C: –5 – (–1)

Totally 6 minus in the problem. But here only 5 minus are given.

So, this is not correct answer.

Option D: –5 –1

Totally 6 minus in the problem. But here only 5 minus are given.

So, this is not correct answer.

Hence –6 – (–1) is the correct expression which represented the diagram.

8 0

3 years ago

Read 2 more answers