Which function is represented in this graph?

Answer: [tex]45^{\circ}[/tex]

Step-by-step explanation:

[tex]\angle ABC[/tex] is formed by [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex], so we can begin by finding their slopes.

[tex]m_{\overline{AB}}=\frac{2-5}{4-7}=-1\\m_{\overline{BC}}=\frac{2-2}{9-4}=0[/tex]

This means that:

[tex]\tan \left(\angle ABC \right)=\left| \frac{-1-0}{1-(0)(-1)} \right|\\\tan \left(\angle ABC \right)=1[/tex]

As [tex]\angle ABC[/tex] is acute, this means [tex]m\angle ABC=\boxed{45^{\circ}}[/tex]

It cost a boy $13.50 to take a girl out for the evening. Sixty percent of this was for the theater tickets. What was the cost of each ticket?

60% of $13.50 is 0.6*13.50 = 8.10

Cut this figure in half to get 8.10/2 = 4.05

So the cost of each ticket was $4.05

The cost of each ticket is $4.05.

학습을 계속하다

Answer:

See Below

Step-by-step explanation:

35% off means you pay 65%

  sooo   A)   .65 x = 136.50   where x = original price

              B)         x = 136.50/.65 = $210 original price

Answer:

MMm mmm mmm mmm sh get wicked mmm mmm mm like what u saying mmm mmm mmm gla mmmm

Step-by-step explanation:

Answer:

The smallest number is two 2

The perpetual inventory system is an inventory management method that records when stock is sold or received in real-time.

a. Debit Accounts Receivable 12000

Credit  Sales  12000

Debit Cost of Merchandise Sold 6500

Credit    Merchandise Inventory  6500

b. Debit Cash 9500

Credit Sales  9500

Debit Cost of Merchandise Sold 5300

Credit Merchandise Inventory  5300

c. Debit Cash 2900

Credit  Sales  2900

Debit Cost of Merchandise Sold 1700

Credit  Merchandise Inventory  1700

d. Debit Credit Card Expense 385

Credit  Cash  385

e. Debit Credit Card Expense 75

Credit Cash  75

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Answer:

1. obtuse angle

2. Right angle

3. Adjacent angle

4. Supplementary angle

5. Acute angle

6. Straight line

7. Complementary angle

8. Vertical Angle

9. linear

10. Vertex

Step-by-step explanation:

1. Obtuse angle are angle that measures greater than 90 degree but less and 180 degree

2. Right angle are angle that measures exactly 90 degree

3. Adjacent angle are angles that has a common vertex and share a common side

4. Straight angle is a pair of angle whose sum is 180 degree.

5. Acute angle is an angle greater than 0 degree but less than 90 degree

6. straight line measure exactly 180 degree

7. Complementary angle is a pair of angle whose sum is 90 degree.

8. Vertical Angle is a pair of angle made by intercepting lines with congruent opposite side

9. Linear is a pair of adjacent, supplementary angles.

10. Vertex is an common end point that two rays meet to form an angle.

Answer: 30

Step-by-step explanation:

If we were to draw diagonal BD, then we would create two congruent triangles, and we could find the area of each using the formula [tex]A=\frac{1}{2} ab \sin C[/tex].

However, since there are two triangles, we can double this, giving us [tex]A=ab \sin C[/tex].

So, the area is [tex]A=(10)(6)(\sin 30^{\circ})=\boxed{30}[/tex]

Based on the segment addition postulate, the length of GH is: 4 units.

The segment addition postulate states that if a line segment is divided into smaller parts, the sum of the length of the smaller parts equals the length of the line segment.

FI = FG + HI + GH [segment addition postulate]

7 = 2 + 1 + GH

7 = 3 + GH

7 - 3 = GH

4 = GH

GH = 4 units.

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Answer:

B- 4 units

Step-by-step explanation:

1.The temperature will be, T2= 169.8 K

2. The volume if the temperature is 318 K is 0.170 L

Charles's law, a statement that the volume occupied by a fixed amount of gas is directly proportional to its absolute temperature, if the pressure remains constant.

Given: V1= 250 ml=0.25L

V2=150 ml= 0.15 L

T1= 10 °C=283 K, T2=?

Now using Charles law

V1/T1=V2/T2

0.25/283=0.15/T2

T2= 169.8 K

2. T1= 20 °C= 293 K

    V1= 160 cm³

     T2= 318 K

     V2=?

Using Charles Law,

V1/T1=V2/T2

0.16/293=V2/313

0.170 L=V2

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Answer:The sum of the interior angles in any triangle must be equal to 180 degrees

In this problem we have a triangle with a 45 degree angle and a 65 degree angle

so

The measure of the third side must be equal to

The triangle is a 45°-65°-70°

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

In this problem

I can have as many triangles whose internal angles are congruent and their sides are proportional

therefore

More than one triangle can be drawn with these conditions

Step-by-step explanation:

If the value of the angle θ is 77.32°. Then the value of cos 2θ will be the negative 0.90.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric equation is given below.

tan θ = 40/9

tan θ = 4.444

Then the angle θ will be

θ = tan⁻¹(4.444)

θ = 77.32°

Then the value of cos 2θ will be

cos 2θ = cos (2 x 77.32°)

cos 2θ = cos 154.64°

cos 2θ = - 0.9036

cos 2θ ≅ - 0.90

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Step-by-step explanation:

the area of a circle is

pi × r²

r is the radius (= half of the diameter) of the circle.

radius in our car is 12/2 = 6 yd

and we are to use 3.14 as pi.

so we get as area

3.14 × 6² = 3.14 × 36 = 113.04 yd²

A correlation coefficient of 0.55 indicates that her prediction will probably be close to the actual value.

The correlation coefficient shows the relationship between two variables. It can be used to describe how to variables increase or decrease.

Thus, a correlation coefficient of 0.55 indicates that her prediction will probably be close to the actual value.

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Answer:

The second step is to isolate the variable by multiplication or division

Step-by-step explanation:

so it should be solving the x

Answer:]

A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

:]   Correct me if i'm wrong  :]

A cylinder is a three-dimensional structure formed by two parallel circular bases. The lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

Lateral area of the cylinder = Area of the curved surface

                                             = 2πR × H

                                             = 2 × π × 3yd × 6yd

                                             = 36π yd²

                                             = 113.0973 yd² ≈ 113.1 yd²

The total surface area of the cylinder

         = Area of the two bases + Area of the curved surface

         = 2(π × 3²) + 113.0973 yd²

         = 56.54866 yd² + 113.0973 yd²

         = 169.6459 yd² ≈ 169.7yd²

Hence, the lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².

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So, when we evaluate 1/2 × (6 × 4) ÷ 3 + 2 = 8

To answer the question, we must use the rules of arithmetic in mathematical operations

Mathematical operations are operation which include

In arithmetic, we follow the rule PEMDAS where

So, to evaluate 1/2 × (6 × 4) ÷ 3 + 2, we follow this rule.

So, 1/2 × (6 × 4) ÷ 3 + 2 = 1/2 × 24 ÷ 3 + 2

= 12 ÷ 3 + 2

= 6 + 2

= 8

So,  1/2 × (6 × 4) ÷ 3 + 2 = 8

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Answer:

b= -18

Step-by-step explanation:

x=3, y= -6, m=4

y=mx+b

-6 = 4 x 3 + b    Solve for b

-6 = 12 + b

-6-12 = b

b= -18

Answer:

b = -18

Step-by-step explanation:

    Slope = m = 4

Plugin the value of slope in the above equation.

    y = 4x + b

Now, the line passes through the point (3 , -6). Substitute x and y coordinates in the above equation.

     -6 = 4*3 + b

     -6 = 12 + b

      b = -6 - 12

      b = -18

[tex]\sf \boxed{\bf y-intercept = -18}[/tex]

Answer:

it is -6. . . . . . . . . . . . . . . . .. ... . . . . . . .

The probability that the dart lands inside the square but not on the circular dartboard is 22% option first is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A dartboard consists of a circle inscribed in a square.

The area of the square is 64 square inches.

We know the area of the square:

A = a²

a is the side of the square.

64 = a²

a = 8 inches

As the circle inscribed in a square.

The diameter will be 8 inches

The radius of the circle r = 8/2 = 4 inches

Area of the circle = πr² = π(4)² = 16×3.14 = 50.24 inches

P(dart will land on circular dartboard) = 50.24/64 = 0.785

P(dart will not land on circular dartboard) = 1 - 0.785 = 0.215

or

P(dart will not land on circular dartboard) = 21.5% ≈ 22%

Thus, the probability that the dart lands inside the square but not on the circular dartboard is 22% option first is correct.

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Answer:

22%

Step-by-step explanation

Edge.2023!

Answer:

5

Step-by-step explanation:

You just multiply the indices by the power so 1/6 x 6 = 1 and 5 to the power of 1 is just 5.

Answer:A. MN is a perpendicular bisector.
Hope that helps

Step-by-step explanation:

Answer:

3 Years

Step-by-step explanation:

7000*22% = 1540

4620/1540 = 3

1540 = the yearly interest

so it will take 3 years of $1540 of interest to get $4620.

Normally you would also have to take into account the interest plus the base varible but since it specifically says 7000 it makes it a simple problem.

hope this helped

Answer:

Step-by-step explanation:

Remark

This is a proportion question. A proportion is 2 equal ratios that requires you to solve the 4th part when you know the other 3.

Givens

1 foot scale model length

5 feet of actual length

x = length of model

65 feet of actual length

Formula

1 foot / 5 feet = x / 65 feet

Solution

1/5 = x / 65                          Cross multiply

5x = 65                                Divide by 5

5x/5 = 65/5

x = 13

Answer

The model is 13 feet long

Using the uniform distribution, considering that the novel has 435 pages, the probability that the page is numbered something between 21 and 31 is:

[tex]p = \frac{10}{435}[/tex]

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

Researching the problem on the internet, it is found that the novel has 435 pages, hence a = 0, b = 435, and the probability that the page is numbered something between 21 and 31 is given by:

[tex]P(21 \leq X \leq 31) = \frac{31 - 21}{435 - 0} = \frac{10}{435}[/tex]

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The missing areas and dimensions of the given squares, rectangles, and triangles are:

2. 36 cm²

3. 21 cm²

4. 9 cm²

5. 5 cm

6. 10 cm

7. 4 cm

8. 8 cm

9. 7 cm

10. 7

11. 10

Area of a square = s²

Area of a rectangle = (length)(breadth)

Area of a triangle = 1/2(base)(height).

2. Area of square = s² = 6² = 36 cm².

3. Area of a rectangle = (length)(breadth) = (3)(7) = 21 cm².

4. Area of a triangle = 1/2(base)(height) = 1/2(3)(6) = 9 cm².

5. Area of a rectangle = (length)(breadth)

60 = (12)(breadth)

Breadth = 60/12

Breadth = 5 cm.

6. Area of a triangle = 1/2(base)(height)

35 = 1/2(7)(height)

Height = (35)(2)/7

Height = 10 cm

7. Area of a square = s²

16 = s²

s = √16

s = length = 4 cm

8. Area of a triangle = 1/2(base)(height)

40 = 1/2(10)(height)

Height = 40/5

Height = 8 cm.

9. Area of a square = s²

49 = s²

s = √49

s = length = 7 cm

10. Area of a rectangle = (length)(breadth)

84 = (12)(breadth)

Breadth = 84/12

Breadth = 7 cm.

11. Area of a triangle = 1/2(base)(height)

35 = 1/2(7)(height)

Height = 70/7

Height = 10 cm.

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Answer:

Simple Interest = PTR/100

P=450

T=2

R=3%

Simple Interest = PTR/100

=450×2×3\100

=27

Hence the interest is 27.

The equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have a triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).

The slope of the segment AB:

[tex]\rm m =\dfrac{4-9}{8-2}[/tex]

m = -5/6

The slope of the line perpendicular to AB:

Let M is the slope of the line:

mM = -1

(-5/6)M = -1

M = 6/5

The line:

y = Mx + c

y = (6/5)x + c

The line passing through the point C(-3, -2)

-2 = (6/5)(-3) + c

c = 8/5

y = (6/5)x + 8/5

5y = 6x + 8

Thus, the equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.

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