what is the volume of a cube with an adge length of 3/4 inch

Apply difference of two square

The classification of the system of equations is (a) inconsistent and dependent

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

x - y - z = 0

2x - y + 2z = 1

x - y + z = -2

Subtract the second equation from the first

So, we have

-z = 2

Divide by -1

z = -2

Substitute z = -2 in the equations x - y - z = 0, 2x - y + 2z = 1 and x - y + z = -2

x - y + 2 = 0

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

x - y - 2 = -2

This gives

x - y = -2

2x - y = 5

x - y = 0

The first and the last equations when solved would have no solution

This means that the equations are inconsistent

Hence, the classification is (a)

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The measure of angle B in degrees rounded to the nearest whole degree is 37

What is a triangle?

A triangle is a closed shape with three vertices, three sides, and three angles. △PQR is used to denote a triangle with the vertices P, Q, and R. Sandwiches and signboards in the shape of triangles are two of the triangles that are most frequently seen.

A triangle is a simple polygon with 3 sides and 3 interior angles. It is one of the basic shapes in geometry in which the 3 vertices are joined with each other

In the figure attached,

A=76, a= 34 cm

b=21 cm, B=?

Law of sines:

Sin A/a = Sin B/b

=> Sin(76)/34 = Sin B/21

=> 0.9702/34 = Sin B/21

=> 0.0285 = Sin B/21

=> 0.0285 * 21 = Sin B

=> 0.5985 = Sin B  

B= arcsin( 0.5985 ) =  36.76 degrees

Nearest whole degree is 37  degrees

The measure of angle B in degrees rounded to the nearest whole degree is 37

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Answer:

Q2 and Q4

Step-by-step explanation:

Trigonometric functions and quadrants:

In x is in the first quadrant, cos(x) > 0 and sin(x) > 0.

In x is in the second quadrant, cos(x) < 0 and sin(x) > 0.

In x is in the third quadrant, cos(x) < 0 and sin(x) < 0.

In x is in the fourth quadrant, cos(x) > 0 and sin(x) < 0.

Cotangent:

The cotangent is the cosine divided by the sine.

Cotangent negative, which quadrants?

It is negative when sine and cosine have opposite signals. So in the second and the fourth quadrant, that is, Q2 and Q4.

Evaluating the function in the values of the domain we will get some coordinate pairs. The graph of these is in the image at the end.

Here we have the function:

3x - y = 1

And we want to graph this in the domain (-3, -1, 0, 4)

To do so, we need to evaluate the function (the values of x) in the values of the domain.

Solving the equation for y we get:

y = 3x - 1

Now, when x = -3

y = 3*-3 - 1 = -10

when x = -1

y = 3*-1 - 1 = -4

when x = 0

y = 3*0 - 1 = -1

When x = 4

y = 3*4 - 1 = 11

So we have the points (-3, -10), (-1, -4),  (0, -1), (4, 11)

The graph of these points is on the image below.

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Answer:

Step-by-step explanation:

70000÷18=3888.88888889

280000÷3888.88888889=72

Or

140÷35=4

18x4=72

Answer:

72% correct

Step-by-step explanation:

Answer:-39

Step-by-step explanation:

The first thing is to open the bracket.

By doing that, the question becomes -37-2.

note that plus×minus=minus.

Hence,-39 as the final answer

Answer:

I believe the answer is 450

Answer:

450

Step-by-step explanation:

240%=2.4

2.4x=1080

x=1080/2.4

x=450

Answer:

3/12 or 1/4 or .25

3 is the number of pink bands you have, and 12 is all of the bands together. 1/4 is the simplified version, and .25 is the decimal version.

The quotient of  10⁻⁴/10² is 10⁻⁶

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻²   (Division law)

10⁻⁴/10² = 10⁻⁶

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Answer:

slope is 3 Y is -2

Step-by-step explanation:

Whenever a number is in "x" its slope. The number always after that is Y so slope is 3 and Y is -2

Answer:

Option D: 8.19 inches

Step-by-step explanation:

i hope this helps..have a great day! :)

Answer: the answer is CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

C

The Expected Value for the player is -$2.40, which is negative. This means that on average, the player can expect to lose $\(2.40\) for each game played.

To calculate the Expected Value for the player, we can multiply the probability of winning by the amount won, and subtract the probability of losing by the amount paid.

Expected Value = (Probability of Winning * Amount Won) - (Probability of Losing * Amount Paid)

Given the following information:

Probability of winning \(= 0.13\)

Amount won = $15

Probability of losing \(= 0.87\)

Amount paid = $5

Plugging these values into the formula:

Expected Value \(= (0.13 \times $15) - (0.87 times $5)\)

Expected Value \(= $1.95 - $4.35\)

Expected Value = \(-$2.40\)

If a person plays this game a very large number of times over the years, we expect them to come out financially behind, as the Expected Value is negative. This indicates that, on average, the player will lose money over time by playing this game repeatedly.

Therefore, The Expected Value for the player is -$2.40, which is negative. This means that on average, the player can expect to lose $2.40 for each game played.

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Answer:

To find the radius of the circle inscribed in an isosceles triangle, we can use the following formula:

r = (a/2) * cot(π/n)

where r is the radius of the inscribed circle, a is the length of one of the equal sides of the isosceles triangle, and n is the number of sides of the polygon inscribed in the circle.

In this case, we have an isosceles triangle with two sides of 5cm and one side of 6cm. Since the triangle is isosceles, the angle opposite the 6cm side is bisected by the altitude and therefore, the two smaller angles are congruent. Let x be the measure of one of these angles. Using the Law of Cosines, we can solve for x:

6^2 = 5^2 + 5^2 - 2(5)(5)cos(x)

36 = 50 - 50cos(x)

cos(x) = (50 - 36)/50

cos(x) = 0.28

x = cos^-1(0.28) ≈ 73.7°

Since the isosceles triangle has two equal sides of length 5cm, we can divide the triangle into two congruent right triangles by drawing an altitude from the vertex opposite the 6cm side to the midpoint of the 6cm side. The length of this altitude can be found using the Pythagorean theorem:

(5/2)^2 + h^2 = 5^2

25/4 + h^2 = 25

h^2 = 75/4

h = sqrt(75)/2 = (5/2)sqrt(3)

Now we can find the radius of the inscribed circle using the formula:

r = (a/2) * cot(π/n)

where a = 5cm and n = 3 (since the circle is inscribed in a triangle, which is a 3-sided polygon). We can also use the fact that the distance from the center of the circle to the midpoint of each side of the triangle is equal to the radius of the circle. Therefore, the radius of the circle is equal to the altitude of the triangle from the vertex opposite the 6cm side:

r = (5/2) * cot(π/3) = (5/2) * sqrt(3) ≈ 2.89 cm

Therefore, the radius of the circle inscribed in the isosceles triangle with sides 5cm, 5cm, and 6cm is approximately 2.89 cm.

Answer:

H0: There is no association between state and sporting preference.

H1: There is an association between state and sporting preference

Step-by-step explanation:

The hypothesis to be tested for is whether the factor 'state' is associated with the factor 'sporting preference'.

The study is therefore about 'association' and whether the distributions of sporting preferences are identical across states. In scenario in this case is the test for association which is the most appropriate test.

Two factors are deemed to not be associated unless there is supporting evidence to suggest otherwise. Since the null hypothesis is the default belief, the correct pair of hypotheses are:

H0: There is no association between state and sporting preference.

H1: There is an association between state and sporting preference

For given triangles, The correct proportion will be 16/12=18/x.

What is a triangle?

In Geometry, triangles are the type of polygons, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

Based on the sides of a triangle, a triangle is classified into 3 types, namely:

Scalene Triangle – All the sides are of different measures.

Isosceles Triangle – Two sides of a triangle are of the same measure and the remaining side has a different measure.

Equilateral Triangle – All the 3 sides of a triangle are of the same measure.

Based on the angles of a triangle, a triangle is classified into 3 types, namely:

Acute Angle Triangle – All the angles of a triangle is less than 90°.

Obtuse Angle Triangle – One of the angles of a triangle is greater than 90°.

Right Angle Triangle – One of the angles of a triangle is equal to 90°.

Now,

For given triangles ABC and DEF

as ABC ≅DEF

Then AB=DE, BC=EF AND AC=DF

given BC=16, EF=12 and DE=18 then AB=?

Let AB=x then

16/12=18/x as ABC ≅DEF

Hence,

          The correct proportion will be 16/12=18/x.

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Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

Step-by-step explanation:

              Given                   Parallel lines                 Converse

a). ∠13 ≅ ∠17                           a║c                  Corresponding angles

b). ∠4 ≅ ∠9                             b║e                  Exterior alternate angles

c). m∠19 + m∠22 = 180°         a║b                  Same side exterior angles

d). ∠8 ≅ ∠19                                                     Vertical angles.

e). ∠10 ≅ ∠23                         b║c                   Alternate angles

f). m∠14 + m∠17 = 180°           a║c                   Same side Interior angles

Answer:

A. The height of the ball is the same after 1 second and 3 seconds.

Step-by-step explanation:

The quadratic equation function modeling is used to analyze the relationship between variables in the equation. If the ball is at height and t is time then the ball is on symmetric line which will move for initial 1 second then stabilizes at 3 seconds.

Answer:

See below.

Step-by-step explanation:

The number maybe less than 10, equal to 10, or larger than 10.

Examples:

A.

exponent: 1/2

10^(1/2) = sqrt(10)           (less than 10)

B.

exponent: 1

10^1 = 10                  (equal to 10)

C.

exponent: 2

10^2 = 10 * 10 = 100          (larger than 10)

Answer:

Straight line graph with positive gradient (slope)

y-intercept: (0, -3)

x-intercept: (12, 0)

Step-by-step explanation:

\(y=\dfrac14x-3\)  is a linear function

The line intercepts the y-axis when x = 0:

\(y=\dfrac14(0)-3=-3\)

Therefore, the y-intercept is (0, -3)

The line intercepts the x-axis when y = 0:

\(\implies \dfrac14x-3=0\\\\\implies \dfrac14x=3\\\\\implies x=12\)

Therefore, the x-intercept is (12, 0)

\(\\ \rm\Rrightarrow y=1/4x-3\)

Graoh attached

The width of the field is 230 feet and the length is 310 feet.

Let's denote the width of the field as "x" feet.

The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.

To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:

2(length) + 2(width) = perimeter

Substituting the given values:

2(x + 80) + 2(x) = 1080

2x + 160 + 2x = 1080

4x + 160 = 1080

4x = 920

x = 920/4

x = 230

Therefore, the width of the field is 230 feet.

Now we can find the length by adding 80 feet to the width:

Length = Width + 80 = 230 + 80 = 310 feet.

So, the width of the field is 230 feet and the length is 310 feet.

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Step-by-step explanation:

Simple, she found the sum of the interior angles not exterior angles.

The exterior angles of any polygon add up to 360 degrees.

What Cindy did was found the total interior angle measure of a hexagon which is 720

Answer:75

Step-by-step explanation:

90-15=75

Answer:

He has 75 tacos left.

90 - 15 = 75.