Draw a vector representing the course of a ship that goes 75 miles on a
course with direction 3000.

Answer: 1/250

Step-by-step explanation:

Given the recurring decimal : 0.004

Firstly:

Let x = 0.004 - - - (1)

Due to the number of decimals places and value of x;

We multiply (1) by 1000 to obtain an integer

Multiply (1) by 1000

1000x = 4 - - - (2)

From (2) we can solve for x and leave our answer as a fraction.

Divide (2) by 1000 to obtain the value of x

1000x / 1000 = 4 / 1000

x = 1 / 250

Recall x = 0.004

Therefore, x = 0.004 = 1/250

Answer:

The answer is A: 1633.13 is the surface area

Hope this help :)

The surface area of the bowl is 816.56 square inches if the radius of a salad bowl is 11.4 inches option (d) is correct.

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]

The surface area of the hemisphere = 2πr²

The radius r = 11.4 inches

The surface area of the hemisphere = 2π(11.4)²

The surface area of the hemisphere = 259.92π square inches

or

= 816.56 square inches

Thus, the surface area of the bowl is 816.56 square inches if the radius of a salad bowl is 11.4 inches option (d) is correct.

Learn more about the sphere here:

brainly.com/question/11374994

#SPJ2

Answer: D $10.84

Step-by-step explanation:

If the box is a cube and paper is needed to wrap it, then we need to find the surface area of the box then multiply it buy the cost of the wrapping paper.

The surface area of a cube uses the formula 6a^2  where a is any side length.

We know that the box has a side length of 8.5 inches.

SA = 6*8.5^2

SA= 433.5  

Now multiply the surface area by the money.

433.5 * 0.025 = 10.8375  

Round 10.8375 to dollars and cents as it is required.

10.8375 = 10.84

Which means it will cost $10.84 to wrap the box.

Answer:

$10.84

Step-by-step explanation:

The surface area of the moving box is SA = 6s2.

SA = 6(8.5)2

SA = 6(72.25)

SA = 433.50 square inches.

At $0.025 per square inch, it would take 433.50 x (0.025) or $10.84 to wrap this box.

Answer:

(6,0)

Step-by-step explanation:

A zero of an equation is the x-intercept of the graph, meaning whenever the graph hits the x-axis. You can see that (2,0) and (6,0) are the x-intercepts, as I can see from the picture of the graph. There are other ways to solve this as well, but there is no need since the graph is provided. I hope this helps you!! Have a great rest of your day.

Answer:

[tex]30[/tex]

Step-by-step explanation:

Here, we will have to use [tex]LCD[/tex] or, least common denominator.

The least common [tex]LCD[/tex] here that we will be using is going to be 30. We can always make sure by multiplying.

[tex]\frac{3}{10}[/tex]*[tex]\frac{3}{3}[/tex][tex]=\frac{9}{30}[/tex]

Our final answer for the first fraction is [tex]\frac{9}{30}[/tex] which could be simplified back to [tex]\frac{3}{10}[/tex].

For the second fraction, we will be multiplying with [tex]\frac{2}{2}[/tex].

[tex]\frac{2}{15}[/tex]*[tex]\frac{2}{2}[/tex][tex]=\frac{4}{30}[/tex].

Again, it simplifies back to [tex]\frac{2}{15}[/tex].

Hence, the [tex]LCD[/tex] is [tex]30[/tex].

Hope that helps:D

-Jazz

Answer:

x-3

Step-by-step explanation:

f(x) = 3x-2

g(x) = 2x + 1

(f-g)(x) = 3x-2 - ( 2x+1)

Distribute the minus sign

           =3x-2 -2x-1

Combine like terms

           = 3x-2x   -2-1

          =x-3​

Answer:

D.  [tex]x-3[/tex]

Step-by-step explanation:

[tex]f(x) = 3x-2[/tex]

[tex]g(x) = 2x + 1[/tex]

[tex](f-g)(x)[/tex]

[tex]f(x)-g(x)[/tex]

[tex](3x-2)-(2x+1)[/tex]

[tex]3x-2-2x-1[/tex]

[tex]3x-2x-2-1[/tex]

[tex]1x-3[/tex]

Answer:  the answer that I got was 24

Step-by-step explanation:

I hope it’s right and it helps!

Answer:

[tex]24[/tex]

Step-by-step explanation:

[tex](-1)\times (-(-2)) \times (-(-(-3))) \times (-(-(-(-4)))[/tex]

Negative times negative is positive.

Negative times negative times negative is negative.

Negative times negative times negative times negative is positive.

[tex](-1)\times (+2) \times (-3) \times (+4)[/tex]

Multiply.

[tex]-1 \times 2 \times -3 \times 4[/tex]

[tex]= 24[/tex]

Answer:

A. (x + 2)^2 = 31.

Step-by-step explanation:

x^2 + 4x = 27

x^2 + 4x - 27 = 0

A. (x + 2)^2 = 31

x^2 + 4x + 4 - 31 = 0

x^2 + 4x - 27 = 0

This option corresponds to the given equation, so it is correct.

B. (x + 2)^2 = 43

x^2 + 4x + 4 - 43 = 0

x^2 + 4x - 39 = 0

This does not correspond to the equation.

C. (x + 4)^2 = 31

x^2 + 8x + 16 - 31 = 0

x^2 + 8x - 15 = 0

This does not correspond to the equation.

D. (x+4)^2 = 43

x^2 + 8x + 16 - 43 = 0

x^2 + 8x - 27 = 0

This does not correspond to the equation.

So, your answer is A. (x + 2)^2 = 31.

Make sure to SUBMIT and check your PREVIOUS answers to make sure they are right! XD Also, hope this helps!

Answer:

$8.17

Step-by-step explanation:

I got it correcty on the test.

The costs $0.045 per square inch will be $8.17. Then the correct option is B.

Let the length of the cube be a.

Then the surface area of the cube will be

SA = 6a²

If a moving box that is an 5.5 inch cube is being wrapped.

Then the surface area of the cube will be

SA = 6 x (5.5)²

SA = 181.5 square inches

Then the costs $0.045 per square inch will be

Total cost = 181.5 x 0.045

Total cost = $8.1675 ≈ $8.17

Then the correct option is B.

More about the surface area of the cube link is given below.

https://brainly.com/question/13789496

#SPJ2

Answer:

20.56 units.

Step-by-step explanation:

Perimeter of the shaded region is the sum of all straight sides and all 4 arcs.

Perimeter of 4 straight sides [tex]=4\times 2=8\text{ units}[/tex]

Perimeter of a arc [tex]=\dfrac{1}{4}\times 2\pi r[/tex]

Perimeter of 4 arcs [tex]=4\times \dfrac{1}{4}(2\pi r)=2\pi r[/tex]

Here, r is the radius. So,

[tex]r=\dfrac{6-2}{2}=\dfrac{4}{2}=2[/tex]

Perimeter of 4 arcs [tex]=2(3.14)(2)=12.56[/tex]

Perimeter of the shaded region = Perimeter of all straight sides + Perimeter of all 4 arcs

                             [tex]=8+12.56[/tex]

                             [tex]=20.56\text{ units}[/tex]

Therefore, the perimeter of the shaded region is 20.56 units.

Step-by-step explanation:

[tex]f(x) = 4 {x}^{2} + 5 + {2}^{x} [/tex]

To find f(-4) replace every x in f(x) by - 4

That's

[tex]f( - 4) = 4( { - 4})^{2} + 5 + {2}^{ - 4} \\ \\ = 4(16) + 5 + \frac{1}{16} \\ \\ = 64 + 5 + \frac{1}{16} \\ \\ = 69 + \frac{1}{16} \\ \\ = \frac{1105}{16} \\ \\ = 69 \ \frac{1}{16} [/tex]

Hope this helps you

Answer:

3x^3-5x^2+8x-35

Step-by-step explanation:

Answer:171.5

Step-by-step explanation:

7=✓3.5*x

49=3.5 x

x=48/3.5

x=48*35/10=24*35/5=24*7=168

AW=168

LW=3.5+168=171.5

Answer:

15 cm

Step-by-step explanation:

Circumference of circle= 2πr, where r us the radius of the circle.

Given that the circumference of circle is 60πcm,

60π= 2πr

Divide by 2 on both sides,

15π= πr

Divide by π on both sides,

15= r

Thus, radius of circle= 15cm.

Answer:

84

Step-by-step explanation:

The ruler indicates that the house is 3 1/2 inches.

Every 1/4 = 6 ft

1/2 = 2/4

2 times 1/4

2/4=12

3 = 12/4

12 times 1/4 = 3

12 times 6 = 72

72 + 12= 84

Answer:

y = -2x + 8

Step-by-step explanation:

The slope is given, and if we plug in 2 and 3 for y and x respectively, we can solve to get b=8. When graphed, it looks like the picture below.

Answer:

ASA

Step-by-step explanation:

<M is congruent to <Q

MO is congruent to QO

<MON is congruent to <QPO by vertical angles

That gives you ASA (angle-side-angle).

Answer:

36

Step-by-step explanation:

You simply multiply the number of options per each course of the meal and get 3*4*3=12*3=36

Answer:

121°

Step-by-step explanation:

The sum of the a triangle's angles is 180°

so the missing angle: 180°-(87°+34°) = 59°

so z°= 180°-59°=  121°

Answer:

121º

Step-by-step explanation:

Once interior angles of a triangle sum 180º, the remaining angle is:

34º + 87º + x = 180º

x = 59º

Once ∠x and ∠z are supplementary angles (add up to 180º), ∠z = 121º

Answer:

It will take 1 hour and 12 minutes for the two trains to be 192 miles apart

Step-by-step explanation:

The total distance between the two trains is the distance traveled by both trains. The distance traveled by the eastbound train is 85 mph * elapsed time and the distance traveled by the westbound train is 75 * elapsed time.

The combined formula is distance traveled = speed of first train * elapsed time + speed of second train * elapsed time.

Since the elapsed time is equal for both trains then the formula is modified as distance traveled = (speed of first train + speed of second train) * elapsed time.

Solving for the elapsed time

distance traveled = (speed of first train + speed of second train) * elapsed time

192 miles = (85mph + 75 mph) * elapsed time

192 miles = 160 mph * elapsed time

elapsed time = 192 miles / 160 mph

elapsed time = 1.2 hours

elapsed time = 1 hour and 12 minutes

It will take 1 hour and 12 minutes for the two trains to be 192 miles apart.

Answer:

377 meals

Step-by-step explanation:

If you choose to have all three courses, then there are 6 choices for the first course, 8 for the second, and 5 for the last, making a total of 6*8*5=240 different possible meals.

If you choose two courses, then there are 3 options. You can pick appetizer and main meal, which would give you 6*8=48 possibilities. You can pick main meal and dessert, which would give you 8*5=40 possibilities. Finally you can pick appetizer and desert, which would give you 6*5=30 possibilities. In total these are 118 different possible meals with two courses.

Finally, you could choose 1 course, which would give you 6+8+5=19 different meals.

In total, this is 240+118+19=377 meals

Answer: y≤ [tex]\frac{7}{3}x+2[/tex]

Step-by-step explanation:

Since we are given the equation, all we have to do is to fix the inequality. We have four options: <, >, ≤, and ≥. The line in the graph is a solid line. This means the line reaches and is equal to the points on the line. We can automatically eliminate ≤ and ≥. Now, we know the answer is ≤. The shading shows that the answer is less than 7/3x+2. In other words, y≤ [tex]\frac{7}{3} x+2[/tex].

Answer: 1280 dollars

Step-by-step explanation:

Given that the assessed value of a property is $ 16,000.

If the tax rate is $8/$100 of value. That is, 8 dollars in every 100 dollars.

Divide both value of the property by 100.

16000/100 = 160 dollars

Then, multiply it by 8 dollars

8 × 160 = 1280 dollars

The annual tax for the property is therefore, 1280 dollars.

OR

First find the rate or percentage of the tax which will be:

8/100 = 8%

Find the 8% of the value of the property which is 16000 dollars

8/100 × 16000 = 1280 dollars

Answer:

Equation of the line; y=x+3

Step-by-step explanation:

Graph the line that passes through the points (5,8) and (3,6) and determine the equation of the line.

Equation of a line: y=mx +b

Let's find the slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

8-6/ 5-3= 2/2 = 1

y=x+b

Substitute the points in.

y= 8

x = 5

8 = 5+b

b= 3

The y-intercept is 3.

y=x+3

Points on the line: (-2,1) (-1,2) (0,3) (1,4) (2,5)

Answer:

the perimeter of the right triangle is 45

Answer: There are many possibilities, depending on the base and height dimensions. Here are a few:

if 3 × 10  the perimeter will be =  3 + 10 + 10.44 = 23.44

if  2 × 15 the perimeter will be =  2 + 15 +  15.13 = 32.13

if  1 × 30, the perimeter will be  =  1 + 30 + 30.02 = 61.02

Step-by-step explanation:  For the area of the triangle

A = bh/2.  The  Perimeter is the sum of the three sides

No base or height is given in this question, so it could be any combination of factors that result in A = 15   Even fractional dimensions! (But we'll keep it simple for now. You could probably set up an equation and graph it to see all the combinations.)

To get the third side, the hypotenuse, use the Pythagorean Theorem.

For 3 × 10, [tex]\sqrt{109}[/tex]  is the third side

For 2 × 15, [tex]\sqrt{229}[/tex]  is the third side

For 1 ×  30 [tex]\sqrt{901}[/tex]  is the third side

Answer:

220 degrees

Step-by-step explanation:

An inscribed angle is always one-half the measure of either the central angle or the intercepted arc sharing endpoints of the inscribed angle's sides.

Answer:

The area is 25 :)

Step-by-step explanation:

This Is An Obtuse scalene triangle.

Sides: a = 17.205   b = 13.454   c = 5

Area: T = 25

Perimeter: p = 35.658

Angle ∠ A = α = 131.987° = 131°59'14″ = 2.304 rad

Angle ∠ B = β = 35.538° = 35°32'16″ = 0.62 rad

Angle ∠ C = γ = 12.475° = 12°28'30″ = 0.218 rad

Height: ha = 2.906

Height: hb = 3.716

Height: hc = 10

Median: ma = 5.385

Median: mb = 10.735

Median: mc = 15.24

Inradius: r = 1.402

Circumradius: R = 11.573

Vertex coordinates: A[3; 4] B[8; 4] C[-6; -6]

Centroid: CG[1.667; 0.667]

Coordinates of the circumscribed circle: U[0; 0]

Coordinates of the inscribed circle: I[1.963; 1.402]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 48.013° = 48°46″ = 2.304 rad

∠ B' = β' = 144.462° = 144°27'44″ = 0.62 rad

∠ C' = γ' = 167.525° = 167°31'30″ = 0.218 rad

Answer:

x = 60

Step-by-step explanation:

Using the right triangle altitude theorem, we have 3 similar triangles.

100/x = x/36

x^2 = 3600

x = 60

Answer:

E - 40°

Step-by-step explanation:

Angle O = 2 × y

{Angle at center is equal to twice the angle at circumference formed by the same arc}

O = 2 × 70°

O = 140°

x + 90° + 90° + O = 360°

{Sum of angles in a quadrilateral is equal to 360°}

x + 90° + 90° + 140° = 360°

x + 320° = 360°

x = 40°