A triangle has two sides of lengths 6 and 9
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If two cans hold 750ml ,then their voLume is 0.3 liters less than 1.8 liters.

Given volume of two cans being 750 ml each.

We are required to calculate the quantity in liters of how much the volume of two cans less than 1.8 liters.

Volume is the quantity of substance a container can hold in its capacity.

So volume of cone means quantity of liquid cone can hold if fully filled.

Volume of first cone=750 ml

Volume of second cone=750 ml

Total volume=750+750

=1500 ml

1 liter= 1000 ml

so 1500 ml will be equal to 1500/1000

=1.5 liter

We are required to do comparison with 1.8 liters.

Difference =1.8-1.5

=0.3 liters.

Hence two cans have 0.3 liters less than 1.8 liters.

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The product of the given fractions, -2/9(-5/3), is: 10/27.

Given the fractions, -2/9(-5/3), recall that minus multiplied by minus equals plus.

So therefore, the product of the two fractions would be a positive number. Thus:

-2/9(-5/3) = (-2 × -5)/(9 × 3)

-2/9(-5/3) = 10/27

Therefore, the product is: 10/27.

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Answer:

x = 24

Step-by-step explanation:

Since this is a right angle, we can use the Pythagorean Theorem to find x. In the formula, a^2 + b^2 = c^2, variables a and b represent the lengths of the legs, and variable c represents the length of the hypotenuse.

a^2 + b^2 = c^2

18^2 + x^2 = 30^2

324 + x^2 = 900

x^2 = 576

x = 24

The profit he would make in one week is  $30.

Profit is the total revenue less total cost.

Total revenue = price of one hot dog x number of hotdogs sold

$10.25 x 100 = $1025

Total cost = 950 +( 0.45 x 100)

950 + 45 = 995

Profit = 1025 - 995 = $30

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Answer:

106

Step-by-step explanation:

If 1 student gets a 1, and 106 get a 100, then the mean will be 99.99, and 106 students will get the extra credit.

Based on the percentage of people who actually voted and the margin of error, the data implies that people lied when responding to the survey.

The evidence that people lied about voting would bet be shown by the confidence interval. If the confidence interval of the survey does not have the actual percentage of people who voted in it, then people lied.

The confidence interval is:

= Average ± Margin of error

Solving:

= 70% + 3%

= 73%

= 70% - 3%

= 67%

Confidence interval is:

67% - 73%

The actual percentage of 61% who voted is not in this interval which means that some people lied about voting in the survey.

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Answer:

[tex]2x - 3 + \frac{1}{x-1}[/tex]

Step-by-step explanation:

Attachment :)

We use long division

Answer:

1954

Step-by-step explanation:

11*7*50

Answer:

[tex]\sf \dfrac{\sqrt{6}+\sqrt{2}}{4}[/tex]

Step-by-step explanation:

   75 = 45 + 30

Sin (x + y) = Sin x *Cos y + Cos x * Sin y

Sin (45 + 30) = Sin 45 * Cos 30 + Cos 45 * Sin 30

                      [tex]\sf =\dfrac{1}{\sqrt{2}}*\dfrac{\sqrt{3}}{2}+\dfrac{1}{\sqrt{2}}* \dfrac{1}{2}\\\\\\=\dfrac{\sqrt{3}}{2\sqrt{2}}+\dfrac{1}{2\sqrt{2}}\\\\\\=\dfrac{\sqrt{3}*\sqrt{2}}{2*\sqrt{2}*\sqrt{2}}+\dfrac{1*\sqrt{2}}{2\sqrt{2}*\sqrt{2}}\\\\\\=\dfrac{\sqrt{6}}{2*2}+\dfrac{\sqrt{2}}{2*2}\\\\\\=\dfrac{\sqrt{6}+\sqrt{2}}{4}[/tex]

The lowest number in the data set is -5.

Let the data sets be consecutive numbers that has a highest number of 2.

Consecutive numbers mean that the.numvers follow each other. This will be:

-5, -6, -7, -8, -9, 0, 1, 2

Based on the numbers illustrated above, the lowest number is -5.

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The pound was stronger in 2008 against the dollar than in 2017.

The Pound to greenback rate reached a high of $2.649 on the sixth Mar 1972. That remains the most powerful the Pound has been towards USD because it freely floated in 1971.

One might count on that the strongest economies might have the most powerful international currencies; but, that is not always the case. It turns out that lengthy-term movements in forex costs are extra essential than alternate quotes, that's why the British pound is worth extra than the U.S. dollar.

What topics is how the price of that forex adjustments over the years relative to different currencies. Historically, for over 20 years one U.S. dollar has been really worth less than one British pound. As of July 31, 2020, the greenback is sitting around 1.32 to at least one pound. 2  this is down from 1.68 in may additionally 2014 and 1. forty in March 2018.

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The data should be displayed using a line graph, as shown in the attached figure.

Definition of a Line Graph

In a line graph, also known as a line plot or a line chart, each data point is connected by its own line. A line graph displays numerical values across a chosen time span.

Why is a line graph the best choice in this situation?

A line graph would be the best option for showing the data for David's family's grocery spending over the previous 10 weeks because it would show us the trend in the data. This graph tells us of how we can recognize instances where there were significant expenses by analyzing the trend from the line graph.

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Find 3π/4 in degrees

Referance angle

Option A

Answer:

The measure of the reference angle is 45°.

[tex]\sin(\theta)=\dfrac{\sqrt{2}}{2}[/tex]

Step-by-step explanation:

Reference Angle:  The smallest possible angle made by the terminal side of the given angle and the x-axis. The reference angle is always between 0° and 90° (0 and π/2 radians).

To convert radians to degrees, multiply by 180/π:

[tex]\implies \sf \theta=\dfrac{3\pi}{4} \cdot \dfrac{180}{\pi}=135^{\circ}[/tex]

Positive angles are drawn in a counterclockwise direction from the x-axis.

(See attached for diagram of the angle θ and its reference angle).

Angles on a straight line sum to 180°.

Therefore, to calculate the reference angle, subtract the measure of the angle from 180°:

[tex]\implies \sf Reference\:angle=180^{\circ}-135^{\circ}=45^{\circ}[/tex]

The angle 135° lies between 90° and 180° and so is in Quadrant II.

Therefore, the exact trigonometric ratios for 135° are:

[tex]\sin 135^{\circ}=\dfrac{1}{\sqrt{2}} \textsf{ or }\dfrac{\sqrt{2}}{2}\\\\ \textsf{(Since sine function is positive in the Quadrant II)}[/tex]

[tex]\cos 135^{\circ}=-\dfrac{1}{\sqrt{2}} \textsf{ or }-\dfrac{\sqrt{2}}{2}\\\\\textsf{(Since cosine function is negative in the Quadrant II)}[/tex]

[tex]\tan135^{\circ}=-1\\\\\textsf{(Since tangent function is negative in the Quadrant II)}[/tex]

Therefore, the true statements are:

  The measure of the reference angle is 45°.

  [tex]\sin(\theta)=\dfrac{\sqrt{2}}{2}[/tex]

In quadrant II, [tex]\cos(A)[/tex] will be negative. So

[tex]\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = -\sqrt{1 - \sin^2(A)} = -\dfrac{\sqrt{15}}4 \approx \boxed{-0.9682}[/tex]

The requried, rounded to four decimal places, cos(A) is approximately -0.9682. The correct answer is option d. -0.9682.

To find cos(A) in quadrant II, we can use the given information and the trigonometric identity  [tex]sin^2(A) + cos^2(A) = 1[/tex].

Given [tex]sin(A) = 1/4[/tex], we can find  [tex]cos(A)[/tex]  as follows:

[tex]sin^2(A) + cos^2(A) = 1[/tex]

[tex](1/4)^2 + cos^2(A) = 1[/tex]

[tex]1/16 + cos^2(A) = 1[/tex]

Now, let's solve for [tex]cos^2(A)[/tex]:

[tex]cos^2(A) = 1 - 1/16[/tex]

[tex]cos^2(A) = 16/16 - 1/16[/tex]

[tex]cos^2(A) = 15/16[/tex]

Next, find the value of [tex]cos(A)[/tex] by taking the square root:

[tex]cos(A) = \pm \sqrt{(15/16)[/tex]

Since we are in quadrant II, where cosine is negative, we take the negative value:

[tex]cos(A) \approx -\sqrt{(15/16)[/tex]

Now, calculate the approximate value of cos(A):

[tex]cos(A) \approx -0.9682[/tex]

Rounded to four decimal places, cos(A) is approximately -0.9682. The correct answer is option d. -0.9682.

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Step-by-step explanation:

the equation in the standard form is :

( x - 2 ) 2+ ( Y + 3 ) 2 = 18

the center is at the point ( 2, - 3 ).

its radious is : /18 = 3/ 2 units

The new statement will be:

Nuclear energy is known to be one that produce a lot of radioactive waste and this tends to pose a threat to  human health and the environment.

Hence, The new statement will be:

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Answer:

172.5cm^3

Step-by-step explanation:

* = multiply or times

volume = length*width*height

Plug in the numbers: 11.5*2.5*6 = 172.5cm^3

Answer:

A and B

Step-by-step explanation:

x < 100 means x is less than 100. Therefore, pick any x-values that are less than 100 which are x = 54 and x = 89.

Hence, A and B are the answer.

There are multiple strategies we can use to find the diameter of a circle. For this question, we must calculate the length of the radius first and multiply by 2 to find the diameter.

We're given the centre and a point on the circumference: [tex](-2,1),(6,7)[/tex].

Find the distance between them using the distance equation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Plug in the given points:

[tex]d=\sqrt{(-2-x_1)^2+(1-y_1)^2}\\d=\sqrt{(-2-6)^2+(1-7)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10[/tex]

Therefore, the radius of the circle is 10 units.

Multiply the radius by 2 to find the length of the diameter:

10 × 2

= 20

Therefore, the length of the diameter is 20 units.

20 units

Answer:

9 x 9 = 81

Step-by-step explanation:

area = width x height

Since it's a square, width = height

Based on the table showing the percentage of households playing games over the net, the average rate of change from 1999 to 2003 is 3.9% per year.

This can be found as:

= (27.9 - 12.3) / 4 years

= 3.9% per year

In 2000, the instantaneous rate of change would be:

= (Rate in 2001 - Rate in 1999) / difference in years

= (24.4 - 12.3) / (2001 - 1999)

= 6.05%

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The percentage of the cost of the phones Annel earns in commission is 5%. If he sells $640 worth, the amount he earns as percentage will be $32.

The amount in commission Annel earns when he sells the phone worth $180 = $9

The percentage of the amount sold, Annel earns as commission is therefore;

[tex] \frac{9}{180} \times 100 = 5\%[/tex]

The amount earned as commission if he sells $640 worth of phones is found as follows;

Amount earned = 5% × 640 = 32

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The inequality represented by the graph is; B: y > 3x + 2

We are told that the line goes through the coordinates;

(-3, -7) and (0, 2)

Now, formula to find the slope is;

m = (y2 - y1)/(x2 - x1)

m = (2 - (-7))/(0 - (-3))

m = 9/3

m = 3

Since it's a dashed straight line and everything to the left is shaded, then it means that the inequality represented by the graph is;

y > 3x + 2

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Answer:

B

Step-by-step explanation:

edge 23

Answer: 84

Step-by-step explanation:

When substituting this question into an algebraic equation you can write it as:

21=.25x

(x clearly represents the number you are trying to find)

When you divide both sides by .25 to isolate x you get x=84

The distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.

The distance between two points on a graph can be determined using the equation;

D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]

Given that;

We substitute our values into the equation above.

D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]

D = √[ ( 4 - 23 )² + ( 9 - (-33) )² ]

D = √[ ( -19 )² + ( 42 )² ]

D = √[ 361 + 1764 ]

D = √[ 2125 ]

D = 46.10

Therefore, the distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.

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The inequalities y < 4x + 8 and y > x - 6, the solution to the inequalities is the darker region shown in the graph.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the inequalities y < 4x + 8 and y > x - 6, the solution to the inequalities is the darker region shown in the graph.

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Answer:

It´s an exponential rule. where one of the factors is negative

Step-by-step explanation:

1 * -1 = -1

2 * -2 = -4

3 * -3 = -9

4 * -4 = -16

5 * -5 = -25