What’s the answer???

The dimensions of the rectangular garden are 8.5 meters and 7.5 meters.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

The diagram is given below.

Given,

Perimeter of a rectangle = 2 (l + w), where l is the length and width.

Length of the rectangle = 4 + 3x

Width of rectangle = x + 6

Perimeter = 32 meters

Substituting,

2 (l + w) = 32

2(4 + 3x + x + 6) = 32

2(4x + 10) = 32

4x + 10 = 16

4x = 6

x = 6 / 4 = 3/2 = 1.5

Length = 4 + 3x = 8.5 meters

Width = x + 6 = 7.5 meters

Hence the length and width of the rectangle are 8.5 meters and 7.5 meters respectively.

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Answer:

True

False

True

Step-by-step explanation:

When the depth of the water is 8 inches, the radius of the cone is 2.667 inches.

Given that the diameter of the conical figure is 8 inches, while the height of the given conical figure is 12 inches. Therefore, the diagram for the given condition can be made as shown below.

Now, consider the two triangles, ΔABC and ΔAPQ.

The two triangles have a right angle individually and have ∠A in common. Therefore, the two triangles are similar triangles.

Thus, the ratio of the sides can be written as,

AP/AB = PQ/BC

Substitute the values,

8 in/12 in = r / 4 in

r = (8/3) inches

r = 2.667 inches

Hence, the radius is 2.667 inches.

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The Probability that no person is next to their partner is 104/105.

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

Permutations is defined as arrangement of elements/objects in a particular way.

According to the question ,

8 people can be arranged in 8! ways = 40320ways

First let us find the probability that person is next to their partner.

4 couples can be arranged in 4! ways

and the couple itself can be arranged in 2! ways

Since there are 4 couples ,

Number of arrangement = \(4!(2!)^{4}\)

=24x16

=384 ways

Probability that person is next to their partner = \(\frac{384}{40320} =\frac{1}{105}\)

and the probability that no person is next to their partner is \(1-\frac{1}{105} =\frac{104}{105}\).

Therefore , the probability that no person is next to their partner is \(\frac{104}{105}\).

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Given condition will be represented by linear equation 5x+10y=90.

What is linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

Total trail hiked=90miles

mountain trail=5mile

canal-trail=10mile

x represent the number of times Maria hiked the mountain trail, and  y represent the number of times Maria hiked the canal trail

Therefore,

Linear equation will be 5x+10y=90

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Answer:

6 is the answer

Step-by-step explanation:

1. The equation of the perpendicular line is: y = -x + 4

2. The equation of the parallel line is: y = -x + 4

The equations of two lines that are parallel to each other will have the slope (m), while the equations of two lines that are perpendicular to each other will have slope values that are negative reciprocals of each other.

The slope-intercept form for the equation of a line is, y = mx + b, where b is the y-intercept and m is the slope of the line.

1. The slope (m) of y = x - 4 is 1. The line that is perpendicular to y = x - 4 would have a slope (m) of -1.

Substitute (a, b) = (1, 3) and m = -1 into y - b = m(x - a):

y - 3 = -1(x - 1)

Rewrite in slope-intercept form:

y - 3 = -x + 1

y = -x + 1 + 3

y = -x + 4

2. The slope (m) of y = -x - 4 is -1. The line that is parallel to y = -x - 4 would have a slope (m) of -1.

Substitute (a, b) = (3, 1) and m = -1 into y - b = m(x - a):

y - 1 = -1(x - 3)

Rewrite in slope-intercept form:

y - 1 = -x + 3

y = -x + 3 + 1

y = -x + 4

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Answer:

18) a^5b^-3c

19) -3xy^1z^-2

20) -5r^4s^-2t^-3

Answer:4

Step-by-step explanation:8x4=32

Since it is 1 out of 8, 32/8=4

Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

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A quotient of a number and 6

Explanation: Quotient means that you divide something by another. Let's let n be the "number". Therefore, "a quotient of a number and 6" refers to n6 or n÷6 .

To write 3 more than 5, we use the mathematical operation of addition and the notation 5 + 3 = 8.

To write 3 more than 5, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.

In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 5 + 3 = 8.

This notation means that we are adding 3 to 5, which results in 8. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is 8.

Another way to write 3 more than 5 is to use the phrase "5 plus 3". This phrase indicates that we are adding 3 to 5 to get 8.

Therefore, In short, to write 3 more than 5, we use the mathematical operation of addition and the notation 5 + 3 = 8. This means that we are adding 3 to 5, resulting in 8. It can also be written as "5 plus 3", indicating the same operation.

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Answer:

the original selling price of the ski set was $460.

Step-by-step explanation:

If the original selling price of the ski set was reduced by 25% and then by an additional 5%, the total discount is 25% + 5% = 30%. To find the original selling price of the ski set, we need to divide the final sale price of $322 by the total discount, which gives us $322 / (1 - 0.30) = $322 / 0.70 = $<<322/(1-0.30)=460>>460.

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

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Answer:

x = -4

Step-by-step explanation:

-12 -12x = 36

add 12 to each side of the equation

-12x = 48

divide both sides by -12

x = -4

Answer:

4

Step-by-step explanation:

Answer:

4.5k

Step-by-step explanation:

A chart that compares three sets of values in a three-dimension chart is called surface.

A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.

A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.

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Answer:

-1.5 y 3

Step-by-step explanation:

enjoy enjoy hopefully it's right

Answer:

Slope = -3/2

y-intercept = 3

Step-by-step explanation:

Select any two points.

(x₁ , y₁) = (0, 3)   & (x₂ , y₂) = (2 , 0)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

         \(\frac{0-3}{2-0}\\\\=\frac{-3}{2}\)

y - y₁ = m(x -x₁)

y - 3 = \(\frac{-3}{2}(x - 0)\)

y - 3 = \(\frac{-3}{2}x\)

     \(y = \frac{-3}{2}x + 3\)

Compare with y = mx + c

Slope = -3/2

y-intercept = 3

Answer:

1.20

Step-by-step explanation:

5 bars = 3.00

1 bar = 0.60

2 bars = 0.60 x 2 =1.20

Answer:

write the following shaded amount as a decimal.

Step-by-step explanation:

the answer will be 1.56 because the whole first block is 100 so think about it as 1.00. the other block only has 56 shaded so 0.56 all u have to do is put it together 1.00 + 0.56= 1.56. first just count all the blocks in one then go on to the other block then u can go on to the next step.

Answer:

write the following shaded amount as a decimal.

Step-by-step explanation:

the answer will be 1.56 because the whole first block is 100 so think about it as 1.00. the other block only has 56 shaded so 0.56 all u have to do is put it together 1.00 + 0.56= 1.56. first just count all the blocks in one then go on to the other block then u can go on to the next step.

Step-by-step explanation:

A cone has an infinite number when it comes to plane of symmetry.

A cone has infinitely many planes of symmetry.

A plane of symmetry is defined as a plane that can divide an object into two identical halves.

A cone, being a three-dimensional geometric shape with a circular base and a curved surface that tapers to a point, can be divided into two identical halves by an infinite number of planes passing through its central axis.

Each of these planes of symmetry will divide the cone into two mirror-image halves that are identical in shape and size.

Thus, a cone has an infinite number of planes of symmetry.

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Answer:

First, let's set up the equation

· We know the least total he's got in one month is $124.92

· In that one month, he was charged an additional $30 dollar fee.

· During the time he uses his phone, he is charged $0.07 per unknown minutes (which we can consider 'm').

It would look like this;

30 + 0.07m = 124.92

where $30 is the additional fee

$0.07 is the money he is charged per unknown minutes otherwise known as 'm'

$124.92 is the total of that whole month (which has been the least amount of money he used)

So now we solve for m:

30 + 0.07m = 124.92

-30                   -30(get rid of any constants first by performing the inverse operation of addition, subtraction)

0.07m = 94.92

/0.07     /0.07 (isolate 'm' by applying the inverse operation of multiplication, division)

m = 1,356 minutes

The sidereal time tomorrow at 8 p.m. will be 4 hours 56 minutes .

A sidereal day is the amount of time needed by earth to complete one rotation. And the time for one sidereal day is 23 hours 56 minutes and 4.1 seconds. In the solar system , starts appear at the same location at the same time ,each sidereal day. The 4 minutes difference between the solar day and the sidereal day is visible by watching the stars rise 4 minutes earlier every night. So if any star is rising at 7p.m today , it will rise at 6:56 p.m. tomorrow and at 6:52 p.m. the following day.

Similarly if the sidereal time today is 8p.m. , tomorrow it will be four minutes less i.e.  at 4 hours 56 minutes.

The sidereal time helps scientists keep a good track of time without worrying about the position of earth with respect to the sun.

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Answer:

Start with the parent function y=1/x^2

Add 3 to x in the denominator, because the graph is shifted left 3.

Add 1 to the fraction, because the graph is shifted up 1 unit

Step-by-step explanation:It is the answer 100% on assignment

Answer:

a.) 4x = 2(x + 14)

b.) Measure of A = 56°

    Measure of B = 56°

Step-by-step explanation:

We know that,

When two lines are crossed by another line transversal line , the angles in matching corners are called corresponding angles.

Also,

When two lines are parallel then the Corresponding Angles are equal.

Given that,

A = 4x and B = 2(x+14).

i.e.

∠A = 4x and ∠B = 2(x+14)

a.)

Now,

As A and B are parallel

So,

∠A = ∠B

⇒4x = 2(x + 14)                  

(This is the equation that represent the corresponding angle relationship between A and B.)

b.)

Now,

⇒4x = 2x + 2(14)

⇒4x = 2x + 28

⇒4x - 2x = 28

⇒2x = 28

⇒x = 14

So,

we get

∠A = 4(14)

      = 56

⇒∠A = 56°

and

∠B = 2(14 + 14)

     = 2(28)

     = 56°

⇒∠B = 56°

∴ we get

Measure of A = 56°

Measure of B = 56°

The probability of rolling a six-sided die and landing on a four is 1/6 or approximately 0.1667.

The probability of flipping a dime and landing with heads facing up is 1/2 or 0.5.

Explain probability

Probability is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1. It is used to study random events and make predictions based on statistical analysis.

According to the given information

The probability of rolling a six-sided die and landing on a four is 1/6 or approximately 0.1667.

Solution:

The probability of flipping a dime and landing with heads facing up is 1/2 or 0.5.

Solution:

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