Suppose that every day from Monday through Friday,
you keep the following routine:
You walk directly to school in the moming. On this walk,
you take 1500 steps.
You play at recess.
You play a sport.
You walk directly home from school.
You think you take about as many steps at recess as you
do playing your sport
Your
FitBit says that you have taken a total of 38.000 steps
during the week.
How many steps do you take every day at recess?

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:

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)

Here, if you use the law of sines, you cannot find the measure of the required angle. But if you use the law of cosines, you will get the desired result.

The measure of the angle C of the given triangle is 43.61°

According to the law of cosine, the square of any one side of a triangle is equal to the difference between the squares of the other two sides and double the product of the other sides and cosine angle added together between them. If AB, BC, and CA are lengths of the three sides of a triangle, then using the law of cosine, we can write

AB² = BC² + CA² - 2(BC)(CA)cos C.

Here, AB = 16, BC = 22, and AC = 21.

Now, 16² = 22² + 21² - 2 * 22 * 21 * cos C

i.e. 256 = 484 + 441 - 924 * cos C

i.e. 256 - 925 = - 924 * cos C

i.e. - 669 = - 924 * cos C

i.e. cos C = 669/924 = 0.724

i.e. C = cos⁻¹(0.724) = 43.61

Therefore the measure of the angle C of the given triangle is 43.61°

Learn more about law of cosines here -

https://brainly.com/question/4472157

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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:

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

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: 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:

The blue pitcher

Step-by-step explanation:

2,800 ML= 2.8 liters

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

Answer:

A. (3,0)

D. (0,-1)

E. (2, 1)

Step-by-step explanation:

A. (3,0)

B. (1,7)

C. (6,2)

D. (0,-1)

E. (2, 1)

F. (3, 4)

у< x  #############################

A. (3,0)

C. (6,2)

D. (0,-1)

E. (2, 1)

y< 5 ####################

A. (3,0)

C. (6,2)

D. (0,-1)

E. (2, 1)

X<4 ###################

A. (3,0)

D. (0,-1)

E. (2, 1)

Answer:

220

Use PEMDAS

Answer:

x=48

y=50

Step-by-step explanation:

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Aswer:

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

Answer:

Slope = 3500

Sarah's salary will increase by 3500 per year

Step-by-step explanation:

Given that Sarah's salary after working n years is given as :

S=90000+3500n

The equation given is similar to a linear equation :

y = bx + c ;

Where, b = slope of the linear equation

Therefore, relating the equation to that of a linear model ; the slope, b is equivalent to 3500 in Sarah's salary equation.

Slope is simply described as the rate of change, the change in y per unit change in x ;

Therefore, this means Sarah's salary will increase by 3500 per year

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 = 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:

y = 3

Step-by-step explanation:

y , 2 , 4 , 5 , 7, 9

Mean = 5

[tex]\frac{4+y+9+5+2+7}{6}=5\\\\\frac{y+27}{6}=5\\\\y+27 = 5*6\\y +27=30\\y=30-27\\y = 3[/tex]

Answer:

D

Step-by-step explanation:

we have to see the value of y on x=-2

which is 2

so g(-2)=2

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:

The answer;

C. y>= 2

The choose ( C)

Answer:

2 is the base

Step-by-step explanation:

2^12

The 2 is the base and the 12 is the exponent

Answer:

200 vs 230

$30

Step-by-step explanation:

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)

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:

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:

8units

Step-by-step explanation:

area of a triangle=1/2base x height

1/2×4×4

2×4

8units