find the slope of the line that passes through the points (2,1) and (-1,-1).

Answer:

z = -5

Step-by-step explanation:

To find the value of z in the equation 11 + z = 6

we will simply subtract 11 from both-side of the equation. That is;

11 + z = 6

Subtract 11 from both-side of the equation

11 - 11 + z  = 6 - 11

(On the left-hand side of the equation 11 will be subtracted from 11 which gives zero, thereby leaving us with just z while on the right-hand side of the equation 11 will be subtracted from 6 which will give negative 5)

z = -5

Answer:

36° is correct.

Step-by-step explanation:

The degree of rotational symmetry is equal to 360° divided by the number of sides of a regular polygon

360° ÷ 10 = 36°

Answer:

A regular decagon is mapped onto itself every time it is rotated by 36°

Step-by-step explanation:

A regular decagon means a polygon with 10 sides and all sides are equal.

Refer the given figure, if we rotate by 36° we will get same decagon.

So a regular decagon is mapped onto itself every time it is rotated by 36°

Answer:

In a 45°-45°-90° triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?

I took the test and this is the correct answer:

11√ 2 inches

Step-by-step explanation:

Static electricity illustrates or mostly related to the Law of Conservation of Charge. This law states that the charge of matter is constant and it will only change if there is the entrance of new charge or there is a removal of charge. This is the same with static electricity since charge of static electricity is constant.

Answer with explanation:

Uses of Similarity in Real Life:

1. When you will look,at the technology, personal Computers or Laptops produced by the same company,they all appear Similar.

2. When you will look at the bricks,which are used on the walls,on the roads, whether it is in the shape of a cube, Three dimensional Pentagon,or Hexagon,all of them are Similar.

→Similarity is also used for creating Electrical equipment ,Bulbs,Tube light,fans of different kinds.

So, There are Thousand of places on earth in which Concept of Similarity is used by Humans.Just Wrote few of them.

Approximately 85.323 feet of fence is needed to enclose the garden.

To find the length of the fence needed to enclose Maria's triangular garden, we can use the Law of Sines since we know one side length and its opposite angle.

The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant:

[tex]\[ \frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)} \][/tex]

Where:

- a, b, c are the side lengths of the triangle.

- A, B, C are the angles of the triangle.

Given that one side length is 29 feet and its opposite angle is 65°, let's denote the other two angles as B  and C . Since the sum of angles in a triangle is 180°, we can find angle C as 180° - 65° - 44° = 71°.

Now, we can use the Law of Sines to find the lengths of the other two sides:

[tex]\[ \frac{29}{\sin(65°)} = \frac{b}{\sin(44°)} \][/tex]

Solving for b:

[tex]\[ b = 29 \times \frac{\sin(44°)}{\sin(65°)} \][/tex]

b ≈ [tex]24.438 \text{ feet} \][/tex]

Similarly, we can find the length of side c  using the same formula:

[tex]\[ \frac{29}{\sin(65°)} = \frac{c}{\sin(71°)} \][/tex]

[tex]\[ c = 29 \times \frac{\sin(71°)}{\sin(65°)} \][/tex]

c ≈ [tex]31.885 \text{ feet} \][/tex]

Finally, to find the total length of the fence needed, we sum up the lengths of all three sides:

[tex]\[ \text{Total fence length} = 29 + 24.438 + 31.885 \][/tex]

[tex]\[ \text{Total fence length}[/tex] ≈ [tex]85.323 \text{ feet} \][/tex]

So, approximately 85.323 feet of fence is needed to enclose the garden.

Q1: Given sin(x+22)° = cos(2x−7)°

Using the concept of Right triangles and Trigonometric ratios, we can use a formula given as follows :-

If, sin(A) = cos(B). Then we must have A + B = 90 degrees.

We have sin(x+22)° = cos(2x−7)°

Then it must be true that (x+22)° + (2x−7)° = 90 degrees.

(x + 22) + (2x - 7) = 90

3x + 15 = 90

3x + 15 - 15 = 90 - 15

3x = 75

[tex] \frac{3x}{3} =\frac{75}{3} \\\\x = 25 \;degrees [/tex]

Hence, x = 25 degrees is the final answer.

Q2: Given cos(x) = 1213 and sin(x) = 513.

It says to find ratio of tan(x).

Using the concepts of Trigonometric ratios, We can the formula that relates all three functions i.e. sin(x), cos(x), and tan(x).

tan(x) = [tex] \frac{sin(x)}{cos(x)} [/tex]

We can plug the given values in the formula.

[tex] tan(x) = \frac{513}{1213} [/tex] is the final answer.

Her total investment in education is $96,000, the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Total= $6,000

At local mall=$26,000

Now,

To find the total investment in education, we need to consider both the direct costs and the opportunity costs of going to college. The direct costs are the expenses that Lindsey has to pay for her education, such as tuition, fees, books, etc. The opportunity costs are the income that Lindsey could have earned if she did not go to college, such as working at the local mall.

The direct costs of going to college are $6,000 a year for four years, which is $24,000 in total.

The opportunity costs of going to college are $26,000 a year minus $8,000 a year for four years, which is $18,000 a year or $72,000 in total. This is because Lindsey could have earned $26,000 a year at the mall, but she is only earning $8,000 a year while going to school.

The total investment in education is the sum of the direct costs and the opportunity costs, which is

$24,000 + $72,000

= $96,000.

Therefore, by algebra the answer will be $96,000.

More about the Algebra link is given below.

brainly.com/question/953809

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We have to express [tex] 18.\bar{48} [/tex] in the form of [tex] \frac{p}{q} [/tex] where p and q are integers and q is not equal to zero.

Let x = [tex] 18.\bar{48} [/tex]

Multiplying the given equation by 100, we get

[tex] 100x = 1848.48484848... [/tex]

[tex] 100x = 1830+ 18.48484848... [/tex]

[tex] 100x = 1830+ 18.\bar{48} [/tex]

[tex] 100x = 1830+ x [/tex]

[tex] 99x=1830 [/tex]

[tex] x=\frac{1830}{99} [/tex]

Therefore, [tex] 18.\bar{48} [/tex] is represented as [tex] x=\frac{1830}{99} [/tex] in the form of [tex] \frac{p}{q} [/tex]

Answer: D

Step-by-step explanation:

The First One Is True Then The Next One Is A.B=3 And The Last One Is D.A=3.48

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Answer: 5 Quarts

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Option (D) No, it is not possible to take a cross section of a tetrahedron and get an octagon because the number of sides on the resulting shape cannot exceed the number of faces on the solid. A tetrahedron, having only four faces, cannot have a cross section with eight sides like an octagon.

The question asks if it is possible to take a cross section of a tetrahedron and get an octagon. A tetrahedron is composed of four triangular faces, six edges, and four vertices. It is the simplest of all the ordinary convex polyhedra and the only one with fewer than 5 faces. The provided options suggest various reasons why an octagon could or could not result from a cross section of a tetrahedron. The correct answer is D: No, because the number of sides on the resulting shape cannot exceed the number of faces on the solid.

A cross section that intersects a solid will typically not have more sides than the number of faces of the solid itself. Since a tetrahedron has only four faces, any cross-section made through it cannot naturally have more than four sides, thus it cannot result in an octagon, which has eight sides. The concept of symmetry or the fact that an octagon has twice as many sides as a tetrahedron does not relate to the possibility of such a cross section.