A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of x

Answer: a = 7.5h + bn

Step-by-step explanation:

Since Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.

where,

a = total amount earned,

h= hours worked in one week,

n = number of bouquets she arranged

b= bonus amount for bouquets

Then, the formula that will help her determine how much she will make in a week will be:

a = (7.5 × h) + (b × n)

a = 7.5h + bn

The formula is a = 7.5h + bn.

Answer:

(3,2)

Step-by-step explanation:

If you look at the x-axis it 3 to the right and your y-axis is 2 up and so the pair is (x is first, y is second) so it (3,2).

Answer:

1) S.A = 108, V = 72; 2) S.A = 68, V = 60; 3) S.A = 40, V = 58

Step-by-step explanation:

1) Surface area of a cuboid = 2(lb + bh + hl)

                                             = 2(6*4 + 4*3 + 3*6)

                                             = 2(24 + 12 + 18)

                                             = 2*54

                                             = 108 square units ------- (1)

 Volume of a cuboid = lbh

                                   = 6*4*3

                                   = 72 cube units ----------- (2)

2) Surface area = (1) - specific surface area

     Specific surface area

          =2(2*6 + 6*1 + 2*1)

          =2(12 + 6 + 2)

          =2*20

          =40 square units

  Therefore surface area = 108 - 40 = 68 square units  --------- (3)

  Volume = (2) - specific volume

      Specific volume

              =l*b*h

              =2*6*1

             =12 cube units

 Volume = 72 - 12 = 60 cube units ---------- (4)

3) Surface area = (3) - specific surface area

              Specific Surface Area

               2(2*4 +2*1 + 4*1)

               2(8 + 2 + 4)

               2(14)

               28 square units

 Surface area = 68 - 28 = 40 square units

  Volume = (4) - specific volume

         Specific volume

            = 1*2*4

            = 8 cube units

       Volume = 60 - 8 = 52 cube units

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Answer:

Jacket A costs 43$

Jacket B costs 55$

Step-by-step explanation:

According to the Question,

Therefore, Jacket A + Jacket B = 98

X-12+X = 98

2X = 110

X = $55 ( Cost of jacket B) & Cost of Jacket A is 55-12 = 43$ .

Answer:

8units

Step-by-step explanation:

area of a triangle=1/2base x height

1/2×4×4

2×4

8units

Answer:

Step-by-step explanation:

If you're tasked to do this mathematically, you have to complete the square to get it into vertex, or work, form. Do that by first setting the equation equal to 0 then moving over the constant:

[tex]3x^2+2x=8[/tex] Next you have to have a +1 as the leading coefficient, and ours is a 3, so we factor it out:

[tex]3(x^2+\frac{2}{3}x)=8[/tex]. Now take half the linear term, square it, and add it in to both sides. Our linear term is 2/3. Half of 2/3 is 2/6 which reduces to 1/3. Squaring 1/3 gives us 1/9, so that's what we add in.

[tex]3(x^2+\frac{2}{3}x+\frac{1}{9})=8+\frac{1}{3}[/tex] to the right of the equals sign we added in 3*1/9 which is 3/9, which reduces to 1/3. Now we clean up both sides. The right side is easy; the left side, not so much. The reason we do this (complete the square) is to get a perfect square binomial on the left. When we re-write the left side into that perfect square binomial, we get

[tex]3(x+\frac{1}{3})^2=\frac{25}{3}[/tex] Now we move the constant back over and set the parabola back equal to y:

[tex]y=3(x+\frac{1}{3})^2-\frac{25}{3}[/tex] which shows us that the vertex is

[tex](-\frac{1}{3},-\frac{25}{3})[/tex]

Answer:

The blue pitcher

Step-by-step explanation:

2,800 ML= 2.8 liters

Answer:

[tex]x=68[/tex]

Step-by-step explanation:

In the figure, we shown all four exterior angles of the polygon. The sum of the exterior angles of any polygon is equal to [tex]360^{\circ}[/tex].

Therefore, we have:

[tex]79+(x+10)+(x-1)+(2x)=360,\\79+x+10+x-1+2x=360,\\88+4x=360,\\4x=272,\\x=\boxed{68}[/tex]

Answer:

I think it's 2 no. cause it has arrow/ like this and it is pointing- 2/3 so I think it can be wrong also so don't think I m wrong I'll help you in needs

Answer:

(a, b)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

Reflection is the flipping of an object about a point. If a point A(x, y) is reflected over x axis, the new point is at A'(x, -y). If the a point A(x, y) is reflected over y axis, the new point is at A'(-x, y). If a point A(x, y) is reflected over origin, the new point is at A'(-x, -y).

Given point P(a, b). It reflection about the x-axis gives P'(a, -b), then the reflection about the y-axis gives P"(-a, -b). Lastly, reflection about the origin gives P"'(a, b)

Answer:

x=48

y=50

Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

Answer:

93.4 cm²

Step-by-step explanation:

Area of the shaded region = area of the square - area of half of the circle

Area of the shaded region = s² + ½(πr²)

Where,

r = 6.2 cm

s = length of square = diameter of circle = 2*r = 2*6.2

s = 12.4 cm

Plug in the values

Area of the shaded region = 12.4² - ½(π × 6.2²)

= 153.76 - 60.381411

= 93.378589

≈ 93.4 cm² (nearest tenth)

Responder:

7

Explicação passo a passo:

Obtemos o maior fator comum de ambas as frutas:

Apple = 60

Laranja = 24

Fatores de:

60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 e 60

24 = 1, 2, 3, 4, 6, 12 e 24

O maior fator comum é 12

Por isso,

Número de malas necessárias para:

Maçãs = 60/12 = 5

Laranjas = 24/12 = 2

Total de sacos plásticos necessários = 5 + 2 = 7

Aswer:

c represnt the function hope it helps you make me brainlest pls

Answer:

58.3

Cos(x) = adjacent / opposite

Cos(x) = 10/17

Sin(x) = 0.59

Sin-1(0.59) = 53.8

Answer: The answer is the diameter.

Step-by-step explanation:

Answer:

diameter

Step-by-step explanation:

the diameter goes straight through the center of the circle

Answer:

52.8

Step-by-step explanation:

We take the midpoint of the range as, x

Midpoint = (lower + upper) /2

Midpoint, x ___ Frequency, F

15 ___________ 7

45 __________27

75 __________12

105 __________4

The mean :

Σfx / Σf

= [(15*7) + (45*27) + (75*12) + (105*4)] / (7+27+12+4)

= 2460 / 50

= 52.8

Answer:

2 is the base

Step-by-step explanation:

2^12

The 2 is the base and the 12 is the exponent

1. 105 units²

2. 78 units²

Step-by-step explanation:

1.

Since the middle is a square, the base of all 4 triangles are equal.

Let x be the height of the triangles.

The height of the triangle can be defined as:

15 = 7 + x + x

15 = 7 + 2x

15 - 7 = 2x

x = 8/2

x = 4

Area = area of square + 4(area of triangle)

= (7 x 7) + 4(1/2(7)(4))

= 49 + 56

= 105 units²

2.

Area = area of triangle + area of rectangle

area of triangle = ½ x base x height

base = 4 + 4 + 4

= 12

height = 15 - 6

= 9

area of triangle = ½ x 12 x 9

= 54 units²

area of rectangle = 6 x 4

= 24 units²

Area = 54 + 24

= 78 units²

Answer:

Step-by-step explanation:

All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:

[tex]AL=\frac{\theta}{360}*2 \pi r[/tex] and filling in:

[tex]8.73=\frac{\theta}{360}*(2)(3.14)(10)[/tex] which simplifies to

[tex]8.73=\frac{62.8\theta}{360}[/tex] which simplifies a bit more to

[tex]\frac{360(8.73)}{62.8}=\theta[/tex] so

[tex]\theta=50.04[/tex] degrees. That means that arc DE also measures 50.04 degrees.

Answer:

458.55

Step-by-step explanation:

23 + 435 = 458

.45 + .1(0) = .55

458 + .55 = 458.55

.1 is .10 (Think of it as a 10)

This question using the combinations concept, as the order in which the canned goods are displayed is not important. Thus, using the combinations formula, we get 8 ways, which are:

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

7 from a set of 8, so:

[tex]C_{8,7} = \frac{8!}{7!1!} = 8[/tex]

8 possible ways, in which each way we remove one of them, in the list given above.

A similar problem is found at https://brainly.com/question/23302762

Answer:

one solution (2.333, 9.6666)

Step-by-step explanation:

The ys have to be equal for there to be 1 solution. Let's see if they are. Equate the ys. - -2x becomes 2x

5x +-2 = 2x + 5                   Write the left with 1 sign

5x - 2 = 2x + 5                    Subtract 2x from both sides

2x          2x

3x - 2 = 5                            Add 2 to both sides

     2     2

3x = 7                                  Divide by 3

x = 7/3

x = 2 1/3

y = 5x - 2

y = 5(2 1/3) - 2

y = 11 2/3 - 2

y = 9 2/3

#1 is a. 11.25

#2 is h. 375

#3 is B 82.50