Point A is in Quadrant III. The ordinate in this point is _______.
A. both – and +
B. negative (-)
C. positive (+)
D. zero

The perimeter of the triangle OQR is 68 cm

From the question, we have the following parameters that can be used in our computation:

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

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Answer:

7x+10

Step-by-step explanation:

2x(3x)+1x(x+10)

6x+1x+10

7x+10

Answer:

5.74

Step-by-step explanation:

fx=5(x+4)-6

f(19)=5(19+4)-6

19f=5(23)-6

19f=115-6

19f=109

f=109÷19

f=5.74 or 19 14/19

Answer: There were 51 students

Step-by-step explanation: Divide 362 by 7 which equals 51 with 5 students remaining! Hope this helps!

Answer:

The Purpose and Character of the usage of the work.

Step-by-step explanation:

In the United States of America, there is a terminology used in court called Fair use. This is a law in the USA that permits a limited use of one or more copyrighted materials without the need to first acquire permission from the holder of the copyright.

Thus, an example of something they might consider when trying to decide whether the use was fair is:

The Purpose and Character of the usage of the work.

This is because the original purpose of the work may have been altered to mean something new or different or it was just copied exactly into another work.

So knowing the purpose and character of usage of the work or material in question would be something they would consider

Answer:

the answer is 750 because there are 30 days in the month of april and you just need to multiply it by how much meat they need to have per day.

Step-by-step explanation:

30 x 25 = 750

Answer:

he longest side of a right triangle, opposite the right angle.

Step-by-step explanation:

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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Answer:

The correct answer is (1,1) because both of the lines meet together at these numbers

Answer:

-6511.8

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

vertical angles

Answer:

Step-by-step explanation:

Hello,

I assume that you know that

\(sin(A+B)=sinAcosB+cosAsinB\\\\sin(A-B)=sinAcosB-cosAsinB\)

One way to retrieve them quickly is to use Euler's formula and then,

\(cos(A+B)+isin(A+B)=e^{i(A+B)}=e^{iA}e^{iB}=(cosA+isinA)(cosB+isinB)\)

and you can replace B by -B for the second formula.

So, it comes that sin(A+B)-sin(A-B)=2cosAsinB

Hope this helps

Answer:

165 minutes

Step-by-step explanation:

To solve for the number of minutes that Joaquin played for, we can use this expression:

(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)

Subtracting 1:10 from each side:

1:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.

So, the expression is now:

So, 2 hours and 25 minutes passed.

If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:

Now we need to add on the number of minutes and the time it took him to get home:

Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.

Answer:

D 9m 4m because 9 divided by 2 is 3 and 4 divided by 2 is 2 and that's us you answer.

The values of the probabilities are  3.59%,  19.27%, 8.50% and 0.125

3 adults at random

From the pie chart, we have

None = 33%

For three selections, we have

P(None) = (33%)^3

P(None) = 3.59%

6 adults at random

From the pie chart, we have

None = 33% and All = 43%

For six selections, we have

P(Not Some) = (43% + 33%)^6

P(Not Some) = 19.27%

4 adults at random

From the pie chart, we have

None = 33% and Some = 21%

For four selections, we have

P(Not Few) = (21% + 33%)^4

P(Not Few) = 8.50%

Here, we have

Total = 40

Numbers = 5

So, we have

P(Win) = 5/40

P(Win) = 0.125

Hence, the probability of winning is 0.125

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Answer:

x = 18

Step-by-step explanation:

2x/ 3 - 7 = 5 (multiply both sides by 3 to get rid of the 3 under the 2x)

2x - 21 = 15 ( add 21 to both sides)

2x = 36 (divide both sides by 2)

x = 18

HOpe this helps ya!!

Answer:  not a triangle

Step-by-step explanation:

To form a triangle, the sum of any two sides must be greater than the third side. (Triangle Inequality Theorem.) Let's check that first.

6 + 12 = 18, and the third side is 19

6 + 12 should be greater than the third side, but it's not.

Well, we got lucky and finished quickly. This can't be a triangle.

Answer:

So if PT=TQ and TQ=7x-9

PT=5x+3=TQ=7x-9

5x+3=7x-9

minus 5x both sides

3=2x-9

add 9 both sides

12=2x

divide 2

6=x

PT=5x+3

PT=5(6)+3

PT=30+3

PT=33

PT=QT=33

x=6

with help from heliy02

Step-by-step explanation:

Tammy, this is the solution:

Amount of money = x

200% x < 17,240

200% of x is 2x, therefore:

2x < 17,240

Dividing by 2 at both sides:

2x/2 < 17,240/2

x < 8,620

In consequence, any number that is less than 8,620 is 200% less than 17,240

The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8  )² = 81.

The standard form equation of a circle with center (h, k) and radius r is:

( x - h )² + ( y - k )² = r²

Given that the circle has a center of (-1, -8) and the radius is 9.

Hence; from the standard form of the equation of the circle:

Center ( h , k ) = ( -1, -8 )

h = -1

k = -8

And radius r = 9

Plug these values into the above formula and simplify.

( x - h )² + ( y - k )² = r²

( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²

Simplify

( x + 1 )² + ( y + 8  )² = 81

Therefore, the equation of the circle is ( x + 1 )² + ( y + 8  )² = 81.

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Answer: -1/5

Step-by-step explanation:

14/20 - 81/90=

7/10-9/10=       ==> 10 is the GCF of 20 and 90

(7-9)/10=

-2/10=-1/5

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{14}{20} - \dfrac{81}{90}}\)

\(\mathsf{= \dfrac{14\div2}{20\div2} - \dfrac{81\div 9}{90\div9}}\)

\(\mathsf{= \dfrac{7}{10} - \dfrac{9}{10}}\)

\(\mathsf{= \dfrac{7 - 9}{10 - 0}}\)

\(\mathsf{= \dfrac{-2}{10}}\)

\(\mathsf{= \dfrac{-2\div 2}{10\div2}}\)

\(\mathsf{= \dfrac{-1}{5}}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{-\dfrac{1}{5}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71