For what value of a the system of linear equations Ax 3y a 3 12x ay A has no solutions?

Answer:

[tex]\boxed {\boxed {\sf D. \ 30 \ feet}}[/tex]

Step-by-step explanation:

The area of a square is found by multiplying the base and the height, but since all the sides are equal, it is equal to multiplying a side by another side.

[tex]a=s*s[/tex]

[tex]a=s^2[/tex]

We know the square garden has an area of 900 square feet. We can substitute this value in for a.

[tex]900 \ ft^2=s^2[/tex]

Since we are solving for the side, we have to isolate the variable s. It is being squared. The inverse of a square is the square root, so we take the square root of both sides.

[tex]\sqrt {900 \ ft^2}= \sqrt{s^2}[/tex]

[tex]\sqrt {900 \ ft^2}=s \\[/tex]

[tex]30 \ ft=s[/tex]

One side of the garden is equal to 30 feet and choice D is correct.

Step-by-step explanation:

Area of square garden=a^2

ATQ

➝a^2=900 sq.feet

➝a=√900

➝a=30feets

Answer: 1/8

Step-by-step explanation: To calculate the probability, we first need to add up the total amount of CDs. 10+6+4+12 = 32. After this, we divide 4 by 32, getting 4/32 which can be simplified to 1/8

Answer:

It is 240(Two hundred and forty)

Step-by-step explanation:

Multiply

Answer: 11, 23, 166

Step-by-step explanation:

Hiya! From the drawings, I'm assuming all of the triangles are right-angled triangles. If they aren't though, tell me and I'll tell you how to solve them.

Anyways, assuming they are right angled-triangles, you can use Pythagoras' Theorem (aka a² + b² = c²)

c is the hypotenuse or the side opposite the right angle.

a and b are just the other two sides (doesn't really matter which is which)

Question 7:

c² = a² + b²

12² = a² + 5²

144 = a² + 25

144 - 25 = a²

119 = a²

a = 10.908712114635714411502154487373

(To the nearest whole number: 11)

Question 8:

c² = a² + b²

24² = 7² + b²

576 = 49 + b²

576 - 49 = b²

527 = b²

b = 22.956480566497992703585747092065

(To the nearest whole number: 23)

Question 9:

c² = a² + b²

c² = 90² + 140²

c² = 8,100 + 19,600

c² = 27,700

c = 166.43316977093238068928214785346

(To the nearest whole number: 166)

Hoped this helped! Tell me if there's something you don't understand. :)

On solving the provided question, we can say that - here in this inequality 17[tex]\leq[/tex]2x - 3[tex]\leq[/tex]25

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

17[tex]\leq[/tex]2x - 3[tex]\leq[/tex]25

[tex]20\leq 2x\leq 28\\10\leq x\leq 14[/tex]

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Using it's concept, it is found that the mean number of raisins is of 7.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem, there are 6 observations: 5, 9, 5, 5, 7, 11.

Hence, the mean is:

[tex]E(X) = \frac{5 + 9 + 5 + 5 + 7 + 11}{6} = 7[/tex]

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Answer:

its 2 raisins i got it right.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let angle A = w - 15 degree , angle B = -w + 1 degree and angle X = w + 34 degrees then:

We know that the exterior angle of a triangle is equal to the sum of two interior opposite angles.

therefore, w + 34 = w - 15 + (-w +1)

w + 34 = w - 15 - w + 1

w = -15 - 34 = - 49 degrees

since angle cannot be negative

therefore w = 49 degrees

The equivalent trigonometric identity to cot²θ + 1 is cot²θsec²θ

Trigonometric identities are equations which contain the trigonometric ratios.

Since we have the trigonometric identity cot²θ + 1,we need to find its equivalent expression.

So, we proceed as follows

Since cot²θ + 1 = 1/tan²θ + 1     (since cot²θ = 1/tan²θ)

Now taking the L.C.M, we have that

1/tan²θ + 1 = (1 + tan²θ)/tan²θ

We know that the trigonometric identity 1 + tan²θ = sec²θ

So, substituting this into the equation, we have that

(1 + tan²θ)/tan²θ =  sec²θ/tan²θ

Since cot²θ = 1/tan²θ, substituting the values of the variables into the equation, we have that

sec²θ/tan²θ = cot²θsec²θ

So, cot²θ + 1 = cot²θsec²θ

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Answer:

what is your question? you have not attached anything.

Step-by-step explanation:

Place a dot at the origin, sometimes referred to as the center of the Cartesian coordinate axis, to begin. We may then plot a point on the graph after placing the necessary points there.

An x-y (or bivariate) plot is any graph or plot with two axes.

The "x-axis" is often the horizontal axis, whereas the "y-axis" is typically the vertical axis.

However, if you have a data set with two sets of related data, you may utilize any variable for either one.

There are a few procedures you may take when plotting data on a graph to make sure you don't neglect anything:

Make sure you are working with two variables (two columns of data).

Make a decision on which variable will be represented on the x-axis and which on the y-axis.

Your plot's axes should be identified, and the scale should be chosen (if the graph is not already labeled).

Plot the first two pairs of numbers first (the top row of numbers).

Plot pairs of points repeatedly until all the points have been plotted.

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To find the radius of a circle given the area of a sector and the measure of the central angle of the sector, we can use the formula:

radius = sector area / (central angle measure / 360)

In this case, the sector area is 165.6 cm2 and the central angle measure is 129*. Plugging these values into the formula gives us:

radius = 165.6 / (129 / 360)

= 165.6 / (129 / 360)

= 165.6 / (0.3583)

= 462.9 cm

Rounding this value to the nearest tenth gives us a radius of approximately 463 cm.

Answer:

12/25

Step-by-step explanation:

there are 24 'T's out of 50

Answer:

y = -1/2x + 5/2

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 2x + 3. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.

Plug this value (-1/2) into your standard point-slope equation of y = mx + b.

y = -1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = -1/2(1) + b

To find b, multiply the slope and the input of x (1)

2 = -1/2 + b

Now, add 1/2 to both sides to isolate b.

5/2 = b

Plug this into your standard equation.

y = -1/2x + 5/2

This equation is perpendicular to your given equation (y = 2x + 3) and contains point (1, 2)

Hope this helps!

Answer:

-12x^2+15x

Step-by-step explanation:

-3x(4x-5)

Distributive property:

-3x*4x-(-3x)*5

-3*4x^2+3*5x

Simplify:

-12x^2+15x

Answer:

900

Step-by-step explanation:

4F + F =1125

5F = 1125

F=225

C=4F

C=4(225)=900

900 + 225=1125

Answer:

x = 11.2

Step-by-step explanation:

We know that the second triangle is just a smaller scale of the bigger triangle.

So, first, we take

28 divided by 25 = 1.12

Then we take

10 times 1.12 = 11.2

So, x = 11.2

The original price of the pair of shoes is $62.5.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Original price = 100%

Offer price = $50

Offer = 20%

Now,

80% = 50

Multiply 100/80 on both sides.

100% = 100/80 x 50

100% = $62.5

Thus,

The original price is $62.5.

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Answer: B

Step-by-step explanation: These lines are parallel. If you count over then down from point to point, then the slope for both lines is negative since it is going down, the slop is -2/1

Linear refers to a straight line when plotted on a graph, while logarithmic refers to a curve that follows the logarithmic function. Linear relationships are those where the rate of change is constant. Logarithmic relationships are those where the rate of change increases or decreases as the value of the independent variable increases.

Linear relationships are those where the rate of change is constant no matter how the independent variable changes. In this type of relationship, the y-value increases or decreases at a constant rate as the x-value increases. For example, if a graph shows a linear relationship, the data points will form a straight line when plotted on a graph. Logarithmic relationships are those where the rate of change increases or decreases as the independent variable increases. In this type of relationship, the y-value increases or decreases more quickly as the x-value increases. This can be seen when plotting the data on a graph as a curved line. An example of this type of relationship is the exponential growth of a population as the population increases.

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320/31 gallons of hot water and 300/31 gallons of cold water are needed.

Here we are required to fill a 20-gallon bathtub and the water should be precisely 100° F.

It is given that hot water has a temperature of 175° F and cold water has a temperature of 20° F.

Let the amount of hot water used be x gallons.

Let the amount of cold water used be y gallons.

Since the bathtub has a capacity of 20 gallons,

x + y = 20                                                                                  [1]

or, y = 20 - x                                                                             [2]

The temperature after the water is mixed will be a weighted average of the temperature and amt of water used.

Hence we get,

(175x + 20y) / (x + y) = 100

from equation [1] we get

175x + 20y = 2000                                                                   [3]

from equations [2] and [3] we get

155x - 400 = 2000

or, x = 1600/155 = 320/31                                                        [4]

Similarly,

y = 20 - 320/31

= 300/31

Hence 320/31 gallons of hot water and 300/31 gallons of cold water are needed.

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Answer: 3

Step-by-step explanation:

Factor of 15: ±1, ±3, ±5, ±15
Factor of 18: ±1, ±2, ±3, ±6, ±9, ±18
Factor of -45: ±1, ±3, ±5, ±9, ±45
=> GCF of 15, 18, -45 is 3

Answer:

109.30

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

i believe (-3,0)( and (7,0)

Step-by-step explanation:

Answer:

  36.9°

Step-by-step explanation:

You want to know the pitch angle of a staircase with a riser height of 6 inches and a tread depth of 8 inches.

The tangent of an angle is the ratio of the side opposite to the side adjacent:

  Tan = Opposite/Adjacent

The tangent of the staircase angle to the floor will be the ratio of the riser height to the tread depth:

  tan(α) = (6 in)/(8 in) = 3/4

The angle is found using the inverse tangent function.

  α = arctan(3/4) ≈ 36.9°

__

Additional comment

You need to be a little bit careful here. Different authors define "tread depth" differently. For the purpose of this question, it must be defined as the horizontal distance between corresponding points on adjacent treads, as shown in the attached illustration.

Some authors define tread depth as the distance from the nosing to the riser. If that definition is used, the "run" of the step will be the tread depth less the nosing depth. The pitch angle will be the arctangent of the ratio of riser height to "run".

The tread depth of 8 inches is a little too narrow to be in compliance with some building codes. A more usual minimum is about 10 inches with a riser height of 7 1/2 inches.

Answer:

0.75 tangent 0.75

Step-by-step explanation:

Answer:

1:11

Step-by-step explanation:

We know

There are 25 tables that seat 4 people

First, we find the total number of tables by taking

25 + 30 = 55 tables

Then we find the ratio of tables that seat 4 people to the total number of tables by

5 / 55 = 1/11 = 1:11

So, the ratio is 1:11

Answer:

8

Step-by-step explanation:

8*8*8 = 512

or

8³ = 512

or

just punch it in a calculator