A conveyor belt carries supplies from the first floor to the second floor, which is 39 feet higher.
The belt makes a 60° angle with the ground. How far do the supplies travel from one end of
the conveyor belt to the other to the nearest foot? If the belt moves at 70 ft./min., how long
does it take the supplies to move to the second floor to the nearest tenth of a minute?
O 68 ft.; 1.0 min.
O55 ft.; 0.8 min.
O 45 ft.; 0.6 min.
O23 ft.; 0.3 min.

Answers

Answer 1

The supplies travelled 45ft and it took 0.6min to get to the next floor.

What is trigonometry?

Trigonometry is the branch of mathematics dealing with the relationship between the sides of a triangle and the angles.

Analysis:

The supplies distance travelled, distance of first floor from second floor and the ground form a right angled triangle.

so that sin 60 = 39/distance travelled by supplies

distance travelled by supplies = 39/sin 60 = 39/0.866 = 45 feet.

speed = distance / time

time = distance / speed = 45/70 = 0.6 min

In conclusion, the distance and time time taken for the supplies to get to the next floor is 45feet and 0.6 min respectively.

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Related Questions

What is the slope of the line that contains the points (-2, 2) and (3, 4)?
A -2/5
B 2/5
C 5/2
D -5/2

Answers

Answer:

[tex]B) ~\dfrac 25[/tex]

Step-by-step explanation:

[tex]\text{Given that,} ~ (x_1,y_1) = (-2,2)~ \text{and}~ (x_2 ,y_2) = (3,4)\\\\\text{Slope},~ m = \dfrac{y_2 - y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~~=\dfrac{4-2}{3+2}\\\\\\~~~~~~~~~~~~~=\dfrac 25[/tex]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of the line that contains the points (-2, 2) and (3, 4).

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Use the slope formula, which is given below:

[tex]\star~\mathrm{\cfrac{y2-y1}{x2-x1}}[/tex]

Where

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the values:

[tex]\star~\mathrm{\cfrac{4-2}{3-(-2)}}[/tex]

Simplify!

[tex]\star~\mathrm{\cfrac{2}{5}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

yx^-4*(x^2y^4)^-2

Simplify,
Please show work
I’ll give Brainliest

Answers

the answer is 1/x^8y^7

proportional relationships, please help!

Answers

Answer:

y = 5/2 x

Step-by-step explanation:

y varies directly with x meaning this equation : y=kx

you plug in the information given

10 = k(4) and then solve ... k = 10/4 which simplifies to 5/2

12345678910111213141516

Answers

Step-by-step explanation:

oh, come on. you can just use common sense.

a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.

for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).

a)

the local minimum values (y) are

-2, -1

b)

the values of x where it had these minimum values are

-1, +3

Find the value of h(-7) for the function below.

h(x) = 5.7 −19x

A.
0.67
B.
-138.7
C.
-127.3
D.
138.7

Answers

The input value of the function h(-7) for h(x) = 5.7 - 19x is -26.6.

How to find the input value of a Function?

We are given the function;

h(x) = 5.7 - 19x

Thus;

h(-7) = 5.7 - 19(1.7)

h(-7) = 5.7 - 32.3

h(-7) = -26.6

Thus, we conclude that the input value of the function h(-7) is -26.6.

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What is the measure of angle ACB
What is the measure of the arc from A to B not passing through C?

Answers

Answer:

Angle ACB: 28
Arc AB: 56

Explanation:
- To find AB, the angle of BOA is a central angle. And its according arc is AB. The angle is always the same as the arc as long if its a central angle.

- Angle ACB is an inscribed angle. Its according arc is AB. Whenever its an inscribed angle, its half of its arc.
56 / 2 = 28

How many times larger than (6 - 4) is (6 - 4) × 5?

Answers

Answer:

5 times bigger

Step-by-step explanation:

(6-4) = 2

(6-4) x 5 = 10

Ariel has a salary of $100,000 in the year 2003 and got a raise of 3.32 % every year. How much money in total will Ariel earn up through the year 2007, to the nearest dollar?

Answers

She would make around $403.315 total through the year 2007.


Which lists all of the x-intercepts of the graphed
function?
O (0, 6)
O (1, 0) and (2, 0)
O (1, 0), (2, 0), and (-3, 0)
O (1, 0), (2, 0), (-3, 0), and (0, 6)

Answers

Answer:

(1, 0), (2, 0), and (-3, 0)

Step-by-step explanation:

The x intercepts  are where it crosses the x axis.  It crosses at (-3,0), (1,0) and (2,0)

Follow the directions to solve the system of equations by elimination.


8x + 7y = 39


4x – 14y = –68


Multiply the first equation to enable the elimination of the y-term.

Add the equations to eliminate the y-terms.

Solve the new equation for the x-value.

Substitute the x-value back into either original equation to find the y-value.

Check the solution.

The solution to the system of equations is?

Answers

Answer:

X= 1/2 Y= 5

Step-by-step explanation:

8x+7y=39-------------(1)--------×2

4x-14y= -68-----------(2)-------×1

16X + 14Y = 78--------(3)

4X- 14Y = -68----------(4)

Addy equation (4) and (3)

20X = 10

dividing bothsides by 20

20X/20= 10/20

X = 1/2

substitute the value of X into equation (1)

8X+7Y = 39

8(1/2)+7Y= 39

4+7Y = 39

7Y = 39-4

7Y = 35

dividing bothsides 7

7Y= 35/7

Y = 5

Use the Pythagorean theorem to find the distance between the points (1,1) and (5,7).?

Answers

Check the picture below.

The owner of a local restaurant surveyed her staff on their preference of uniform color. The results are displayed in the table below. Which pair of samples is most representative of the preference of all the staff?

Answers

Answer:

my bro you gotta put the table down

Step-by-step explanation:

The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:


At least how many schools have participated for 1 year or less? (5 points)


6 schools

8 schools

12 schools

14 schools

Answers

The number of schools have participated for 1 year or less are below the first quartile, which is: A. 6 schools.

What is the First Quartile in A Box Plot?

The first quartile marks the 25th data point of a data distribution (1/4) and is represented at the beginning of the edge of the rectangular box in a box plot.

Using the box plot given, 1 year is the first quartile mark on the box plot. So, the schools that participated for 1 year or less is 1/4 of the total schools. That is:

1/4 × 24 = 6 schools.

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mi
pie
In the following diagram, BC is parallel to DE.
What is the measure of Zz?
Angles are not necessarily drawn to scale.
B
C
4
103°
A
D
F
La=
42°
E

Answers

Answer: 35

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so in triangle ABC, [tex]m\angle C=180-103-42=35^{\circ}[/tex].

Sp, by the corresponding angles theorem, x=35

What is the approximate length of AB¯¯¯¯¯¯¯¯?

Answers

Answer

9.2 units

Step-by-step explanation:

A(-2,-2) and B(4,4) then the length is given by the distance formula

length = [tex]\sqrt{(4-(-2))^{2}+(4-(-3))^{2} }[/tex] units

           = [tex]\sqrt{6^{2}+7^{2} }[/tex] units

           = [tex]\sqrt{85\\[/tex] units

           = 9.2 units          

Answer:

AB ≈ 9.2 units

Step-by-step explanation:

calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (- 2, - 3 ) and (x₂, y₂ ) = B (4, 4 )

AB = [tex]\sqrt{(4-(-2))^2+(4-(-3))^2}[/tex]

     = [tex]\sqrt{(4+2)^2+(4+3)^2}[/tex]

     = [tex]\sqrt{6^2+7^2}[/tex]

     = [tex]\sqrt{36+49}[/tex]

     = [tex]\sqrt{85}[/tex]

     ≈ 9.2 units ( to the nearest tenth )

If anyone know how to solve this please help!!
this my last slide to finish
solve this please!!

Answers

Answer:

Area=18ft^3 Surface Area=44ft^2

Step-by-step explanation:

The formula for area of a rectangular prism is A=lwh. So you just plus that in

Answer:

Volume = 18 cubic feet
Surface Area = 44 square feet
Double width = Double the space

Step-by-step explanation:

Please see attached explanations.

Surface area is the area (one side multiplied by another) of every side of the storage box, added together.
I have labeled each unique pair of sides as a, b, and c. That is top and bottom, left and right side, and front and back side.

Volume is the length multiplied by the width multiplied by the height.

By doubling the width, you are doubling the size of the box in that given direction. You can prove this mathematically by making the width twice of what it was and finding volume again.

Find the median of the following data : 9, 15, 17, 18,6, 20, 8, 5, 18, 18, 10, 5, 14, 12, 10, 7

A. 15
B. 18
C. 12
D. 11

Answers

Answer:

The median is 11.

Explanation:

Add the middle values to calculate the mean, then divide this by 2. That gives you 11.

Median is 11.

The median is what is in the middle of a data set.

Once you put the numbers in the data set in order you with see that there are 2 numbers in the middle.

When this happens all you have to do is find out what’s in the middle of those two numbers.

The number in between 10 and 12 is 11.

Therefore the answer is D.

What is the approximate area

Answers

Answer:

2827.43in²

Step-by-step explanation:

formula for area of a circle is r²π with r being the radius (30 in this case)

we can plug in 30 for r to solve for the area

30²π

900π

2827.43

that is the answer

- kan academy advance

In an oblique drawing, which surface is shown in its true size and shape and is parallel to the horizon?

top
side
bottom
front

Answers

In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front.

What is the drawing about?

The Position of an object in a drawing is known to be parallel to the plane of projection and the circular shape is true in front plane of the oblique view.

The measurements on the front and oblique faces are known to have all its lengths to be true.

Note also that A pictorial drawing that has the front view of an object parallel to the projection plane and shown its true size and shape is known to be Oblique Drawing.

Therefore, In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front and as such, option d is correct.

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help marking brainliest

Answers

Answer:

9-pack

Step-by-step explanation:

Price per roll for 4-pack = Pack price / Number of rolls in pack

= 2.25 / 4

= £0.56 (rounded off to nearest cent)

Price per roll for 9-pack = Pack price / Number of rolls in pack

= 4.50 / 9

= £0.50

From here, we can see the 9-pack is of better value.

student can work no more than 23 hours
per week.
2. The tutoring center requires that each
tutor spend at least two hours per week
tutoring.
3. The tutoring center requires that each
tutor spend no more than seven hours pers
week tutoring.

Answers

Answer:

See below ~

Step-by-step explanation:

We need to represent the situations as inequalities.

===============================================================

Students can work no more than 23 hours per week

⇒ Let the hours per week be x

⇒ 'no more than' refers to less than or equal to (≤)

x ≤ 23

=============================================================

Tutors are required to spend at least 2 hours per week

⇒ At least refers to greater than or equal to (≥)

x ≥ 2

============================================================

Tutors should spend no more than 7 hours per week

⇒ As mentioned before, no more than refers to less than or equal to (≤)

x ≤ 7

ae need inequalities

#1

No more than means maximum

h≤23

#2

At least means minimum

h≥2

#3

No more than is maximum

h≤7

Automobile insurance with the split limits 200/300/400 will cover up to how much in bodily injury per person?

Answers

Automobile insurance with the split limits 200/300/400 will cover up to $200,000 in bodily injury per person.

What is Insurance?

This is a form of protection from financial loss and is used as a means of risk management.

$200,000 medical bodily injury coverage per person, $300,000 bodily injury coverage for the entire accident and $400,000 total property damage limits.

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the table below shows the results from a spinner experiment find the probability of spinning a number greater than 2

Answers

Answer:

29/48

Step-by-step explanation:

Total number of spins: 8 + 11 + 17 + 12 = 48

Total number of spins greater than 2: 17 + 12 = 29

p(greater than 2) = 29/48

the sum of interior angle of a regular Pentagon in 540 degree find the interior angle

Answers

Answer:

108°

Step-by-step explanation:

A regular pentagon has five interior angles of the same measure.

Then

An interior angle has a  measure of :

540/5 = 108°

Hello, the answer should be [tex]108^o[/tex].

The interior angle of any shape formula, if the geometric shape is regular and the sum of interior angle is known, can be written as;

[tex]Interior=\frac{Sum(angles)}{Side}[/tex]

Regular pentagon has 5 sides.

The sum of interior angles of regular pentagon is [tex]540^o[/tex].

[tex]Result=\frac{540^o}{5}=108^o[/tex]

Good luck! If you have any question(s), then feel free to ask in comments.

solve for K
7K-6
2K+14

Answers

Vertically opposite angles are the same meaning u have to do:

7k-6=2k+14

U have to solve for k.

7k-6=2k+14 - using this equation

Minus 2k on both sides

5k-6=14

Add 6 on both sides

5k=20
Divide 5 on both sides

K=4 the answer is 4.

To double check substitute it into 7k-6 and 2k+14. They should be same values

7(4)-6=28-6=22
2(4)+14=8+14=22

So 4 is correct because when u substitute back into the equation it gives you the same value.


Pls give me brainlist it took me a long time.

Jessica has a penny and a nickel. She flipped both coins. What are the chances that both coins land on tails?

Answers

Answer:

Step-by-step explanation:

Here is a list of possible outcomes.

Penny      nickel

Heads      heads

Heads       tails

tails            Heads

tails            tails

Since there are four ways the two coins can land, the chances of getting tails - tails is 1 chance in 4.

Answer: The answer is C 1/4

solve the equation
(x+1)(x+8)=0

Answers

Answer:

x²+9x+8

Step-by-step explanation:

(x)(x+8)+(1)(x+8)

x²+8x + ×+8

x²+9x+8

Hey there!

Answer :

x = -1 or x = -8 ✅

Explanation :

To solve this equation, you have to use the zero product property.

Ifa product of factors is zero, then at least one of its factors is zero.

Which means that either x + 1 = 0 or x + 8 = 0

⇒ x + 1 = 0

Subtract 1 from both sides :

⇒ x + 1 - 1 = 0 - 1

x = -1

OR

⇒x + 8 = 0

Subtract 8 from both sides :

⇒x + 8 - 8 = 0 - 8

x = -8

Therefore, x = -1 or x = -8.

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A boat is 100 m from the bottom of a 75 m high cliff. Determine the angle of elevation
from the boat to the top of the cliff. (Round to the nearest degree.)

Answers

Answer: 37°

Explanation: tanθ=(height/distance)
tanθ=75/100
θ=tan^-1(75/100)
θ=36.87≈37

Please help! This is reflections in geometry! Thank you.

Answers

If these coordinates reflected over y = -1, the resulting coordinate will be:

P = (-4, -6)

Q = (-2,-8)

R = (1, -4)

Reflection of coordinates

A reflected coordinates are mirror images of each other. From the given diagram, the coordinate points are;

P = (-4, -3)

Q = (-2,-4)

R = (1, -2)

If these coordinates reflected over y = -1, the resulting coordinate will be:

P = (-4, -6)

Q = (-2,-8)

R = (1, -4)

The y coordinates are multiplied by a factor of 2

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Combine the radicals 9√x-3√x-
06
O 6√x
O-6√2x
0-6

Answers

Answer:

6√x

Step-by-step explanation:

9√x - 3√x = 6√x

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