Hey there! I'm happy to help!
LENGTH OF CONVEYOR BELT
We are going to have to use some trigonometry. Let's think of this as a right triangle. The conveyor belt is the diagonal or the hypotenuse, while the ground is and the height of the room make a right angle as the legs.
We have a sixty degree angle between the conveyor belt and the ground. This is means that the 21 foot height is the opposite side of our right triangle. So, we are dealing with the opposite and the hypotenuse, so we will use the sine. The sine of an angle is equal to the opposite length divided by the hypotenuse length.
We will set up the following equation and solve for the length of our conveyor belt (c).
[tex]sin60=\frac{21}{c}[/tex]
We multiply both sides by c.
[tex]c(sin60)=21[/tex]
We divide both sides by sin60.
[tex]c=\frac{21}{sin60}[/tex]
If we evaluate this with a calculator, we get that c is equal to 24.2487113..., or 24 when rounded to the nearest foot.
So, the supplies travel 24 feet from one end to the other.
DURATION OF TRAVEL
We want to find how long it takes the supplies to move across the conveyor belt. We see that every minute, it moves 75 feet. We want to see how many minutes it will take to move 24 feet, as that is the length of the conveyor belt as we previously solved. Let's set up a proportion.
[tex]\frac{feet}{minute} =\frac{75}{1} =\frac{24}{m}[/tex]
We cross multiply, giving us the following equation.
75m=24
We divide both sides by 75.
m=0.32
We want to round to the nearest tenth of a minute, so it will take 0.3 minutes for the supplies to move to the second floor.
Have a wonderful day! :D
how many are 5 raised to 2 ???
Answer:
25
Step-by-step explanation:
5^2
This is 5 multiplied by itself 2 times
5*5
25
Find the value of each of the following: a. |15| b. |−15| c. −|15| d. −|−15| *Note: the numbers are inside the 2 parallel lines*
Answer:
a is 15, b is 15, c is -15, and d is -15 also
Step-by-step explanation:
The 2 parallel lines that surround the number are called "absolute value signs" everything inside them has an outcome of a positive number and in this case the number is 15. Like I said the number(s) inside the absolute value signs have to have a outcome of a positive number, notice in c and d there is a negative sign outside the absolute value signs. Therefore you multiply the negative seperately so, 15(-1) is -15.
How can I find how many 13 are in 33?
Answer:
therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)
Step-by-step explanation:
Long division:
13 33
13*2 = 26
33 - 26 = 7
we have: 33/13 = 2 r7
we know that we can rewrite the remainder as 7/13
therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)
AYUDA CON ESTO!!! ALGUIEN PORFAVOR
Answer:
Problem 1) frequency: 160 heartbeats per minute, period= 0.00625 minutes (or 0.375 seconds)
Problem 2) Runner B has the smallest period
Problem 3) The sound propagates faster via a solid than via air, then the sound of the train will arrive faster via the rails.
Step-by-step explanation:
The frequency of the football player is 160 heartbeats per minute.
The period is (using the equation you showed above):
[tex]Period = \frac{1}{frequency} = \frac{1}{160} \,minutes= 0.00625\,\,minutes = 0.375\,\,seconds[/tex]
second problem:
Runner A does 200 loops in 60 minutes so his frequency is:
[tex]\frac{200}{60} = \frac{10}{3} \approx 3.33[/tex] loops per minute
then the period is: 0.3 minutes (does one loop in 0.3 minutes)
the other runner does 200 loops in 65 minutes, so his frequency is:
[tex]\frac{200}{65} = \frac{40}{13} \approx 3.08[/tex] loops per minute
then the period is:
[tex]\frac{13}{40} =0.325\,\,\,minutes[/tex]
Therefore runner B has the smaller period
Complete the sequence
8,27,64,125,.........
Just next letter
Answer:
216.
Step-by-step explanation:
These numbers are perfect cubes starting with 2^3.
2^3, 3^3, 4^3, 5^3 so the next one is 6^3, which is 216.
Possible Points: 100 One January day, the low temperature in Fargo, ND was -8 degrees. Over a period of six hours, the temperature rose 4 degrees per hour. After si hours, what was the temperature?
For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.
Answer:
Ok, our function is:
f(x) = 3*(x - 1)^2 + 2.
First, domain:
We should assume that the domain is all the set of real numbers, and then we see if for some value we have a problem.
In this case we do not see any problem (we can not have a zero in the denominator, and there is no function that has problems with some values of x)
Then the domain is the set of all real numers.
Vertex:
Let's expand our function:
f(x) = 3*x^2 - 3*2*x + 1 + 2
f(x) = 3*x^2 -6*x + 2
The vertex of a quadratic function:
a*x^2 + b*x + c is at:
x = -b/2a
here we have:
a = 3 and b = -6
x = 6/2*3 = 6/6 = 1.
And the value of y at that point is:
f(1) = 3*(1 - 1)^2 + 2 = 2
Then the vertex is at: (1, 2)
Range:
The range is the set of all the possible values of y.
Ok, we can see that the leading coefficient is positive, this means that the arms of our quadratic function will go up.
Then the minimal value of our quadratic function is the value at the vertex, y = 2.
This means that the range can be written as:
R = y ≥ 2
So the range is the set of all real numbers that are larger or equal than 2.
please help me solve
Answer:
18 square centimeters
Step-by-step explanation:
Notice that if e is the midpoint of the side CB, and angle [tex]\angle x = 45^o[/tex], then this rectangle is in fact two squares of side 3 cm put together. therefore, side CD has a length of 6 cm, and as a result, the area of the figure is given by the product base times height = 6 x 3 = 18 [tex]cm^2[/tex]
Answer:
(B) 18
Step-by-step explanation:
The angle x is 45 degrees. Since it is bisecting a 90 degree angle, the angle on the other side is 45 degrees.
90 - 45 = 45
Since AB is 3, DC is 3. Since the right triangle DC is 45-90-45, the other side, CE, will also be 3. Since CE is half of the side of the rectangle, multiply it by 2 to get 6. The sides of the rectangle are 3 and 6. Use the formula for area of a rectangle to solve.
A = lw
A = (6)(3)
A = 18
The answer is B.
Express 0.504 as a fraction in its lowest term
Answer:
63/125
Step-by-step explanation:
Turn the decimal .504
=> 504/1000
=> 504/1000 = 252/500
=> 252/500 = 126/250
=> 126/250 = 63/125
=> 63/125 cannot be simplified anymore.
So, 63/125 is the simplified fraction of .504
PLEASE HELP ME ASAP Find the total surface area.
Answer:
[tex]243.2cm^{2}[/tex]
Step-by-step explanation:
Step 1: Understand what this shape is constructed out of
2 Congruent Trapezoid
2 Congruent Rectangles
1 Small Rectangle
1 Large Rectangle
Step 2: Find the surface area of the shapes
Area of 2 Trapezoids =[tex](\frac{a+b}{2}h)2=(\frac{4+6}{2}2.8)2=(\frac{10}{2}2.8)2=((5)}(2.8))2= (11.6)(2)=23.2cm^{2}[/tex]
Area of 2 Rectangles = [tex](3)(10)(2)=(60)(2)=120cm^{2}[/tex]
Area of Smaller Rectangle = [tex](4)(10)=40cm^{2}[/tex]
Area of Larger Rectangle = [tex](6)(10)=60cm^{2}[/tex]
Step 3: Add the surface areas up
[tex]23.2cm^{2} +120cm^{2} +40cm^{2} +60^{2} =243.2cm^{2}[/tex]
Therefore the surface area of the Trapezoidal Prism is [tex]243.2cm^{2}[/tex]
help me Complete each sentence to describe the algebraic expression 9 + y. The variable in the expression is . The operation in the expression is . The constant in the expression is .
Answer:
'y', "addition", '9'.
Step-by-step explanation:
The variable is an unknown value in an algebraic equation or expression. It is represented by a letter.
'y' would be the variable in the given equation.
The operation in the expression is addition. The '+' sign represents addition, which means 9 and 'y' would be added together to get the sum.
Constants are terms in a expression or equation that contains no variables. This means that constants are only numbers.
'9' would be the given constant in the expression.
Hope this helps.
Answer:
y
+
9
Step-by-step explanation:
f(x)=x^2 what is g(x)?
pls help me
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The two inequalities that show the solution to these equations are n ≥ 55 and y ≥ 6
Step-by-step explanation:
We are given two inequalities that we have to solve. We can solve these inequalities as if we are solving for the variable.
n/5 ≥ 11
Multiply by 5 on both sides.
n ≥ 55
Now, let's do the second one.
-3y ≤ -18
Divide by -3 on both sides. When we divide by a negative in inequalities, then the sign is going to flip to its other side. So, this sign (≤) becomes this sign (≥)
y ≥ 6
a jar had 6 red marbles and 4 blue marbles. you randomly choose two marbles. find the probability that both marbles are red.
Hey there! I'm happy to help!
If we have 6 red marbles and 4 blue marbles, we have 10 total marbles.
First, we have the probability that a marble we draw is red, which is 6/10. This simplifies to 3/5.
If this happens, there are only 5 red marbles left and 9 total ones. So, the probability of drawing a red one again is 5/9.
We multiply these two probabilities together to see the probability of them both happening.
[tex]\frac{3}{5} *\frac {5}{9}= \frac{1}{3}[/tex]
The probability that both marbles are red is 1/3.
Have a wonderful day! :D
Does someone know how to solve this?
Answer:
6 quarts
Step-by-step explanation:
8 bags
--------
2 quarts
Multiply top and bottom by 3
8*3 bags
--------
2*3 quarts
24 bags
--------------
6 quarts
Answer:
6
Step-by-step explanation:
2 quarts of iced tea = 8 tea bags.
x quarts of Iced tea = 24 tea bags
=> 2/8 = x/24
=> Multiply the extremes and means
=> 8x = 48
=> 8x / 8 = 48 / 8
=> x = 6
6 quarts of iced tea can be made with 24 tea bags.
Aug 19,7:01:38 PM
Kylie is moving and must rent a truck. There is an initial charge of $50 for the rental
plus a fee of $3 per mile driven. Make a table of values and then write an equation for
C, in terms of m, representing the total cost of renting the truck if Kylie were to
drive m miles.
Number of Miles Driven Total Cost to Rent Truck
Answer:
0 miles- $50
1 mile- $53
2 miles- $56
3 miles-$59
Step-by-step explanation:
you add $3 to the original 50 as you go each mile.
[tex]\frac{63,756×60}{70×5,280}[/tex]
Answer:
[tex]1035[/tex]
Step-by-step explanation:
(63756×60)/(70×5280)
=1035
23. (a) The area of a rhombus is 90 cm. If the length of a diagonal is 18 cm. calculate the length of the
other diagonal
(b) The diagonals of a rhombus are 28 cm and 24 cm. Find the area of the rhombus.
10) () The height of a trapezium is 12 cm. Find the sum of its parallel sides if its area is 210 cm.
(ii) If the longer side is 2 times the length of the shorter side. find the length of the longer side.
Answer:
Step-by-step explanation:
a) area of rhombus = 1/2 × d1 × d2 = 90cm^2
here d1 and d2 are the diagonals
d1 = 18 cm
1/2 × 18 × d2 = 90
9 × d2 = 90
d2 = 90/9
d2 = 10 cm
∴The length of other diagonal is 10 cm
b) d1 = 28 cm
d2 = 24 cm
area = 1/2 × d1 × d2
= 1/2 × 28 × 24
= 336 cm^2
∴ The are of the rhombus = 336 cm^2
Hope this helps
plz mark as brainliest!!!!!
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. Find BC if AB=2x-12, AC=14, and BC=x+2
Answer: BC = 10
======================================================
Work Shown:
The term "collinear" means all points fall on the same straight line.
Point B is on segment AC.
Through the segment addition postulate, we can say
AB+BC = AC
This is the idea where we glue together smaller segments to form a larger segment, and we keep everything to be a straight line.
Apply substitution and solve for x
AB+BC = AC
2x-12+x+2 = 14
3x-10 = 14
3x = 14+10
3x = 24
x = 24/3
x = 8
Then we can find the length of BC
BC = x+2
BC = 8+2
BC = 10
--------
Note that AB = 2x-12 = 2*8-12 = 16-12 = 4
and how AB+BC = 4+10 = 14 which matches with AC = 14
Therefore we have shown AB+BC = AC is true to confirm the answer.
Collinear points are points on the same line.
The value of BC is 10
Since points A, B and C are on the same line, where B is between points A and C.
So, we have:
[tex]AC = AB + BC[/tex]
Substitute values for AC, AB and BC
[tex]14 = 2x - 12 + x + 2[/tex]
Collect like terms
[tex]2x +x =14 + 12 - 2[/tex]
[tex]3x =24[/tex]
Divide both sides of the equation by 3
[tex]x =8[/tex]
Substitute 8 for x in BC = x + 2
[tex]BC =8 + 2[/tex]
[tex]BC =10[/tex]
Hence, the value of BC is 10
Read more collinear points at:
https://brainly.com/question/15806521
max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed? speed=d/t Time =d/s
Answer:
x = 11.5 hours
Step-by-step explanation:
Set up a proportion:
[tex]\frac{460}{8}[/tex] = [tex]\frac{661.25}{x}[/tex]
661.25/460 = 1.4375
Multiply 8 by 1.4375 to find x:
8(1.4375) = 11.5
x = 11.5 hours
Sally left Tampa traveling 66 mph. Keith, to catch up, left some time later driving at 75 mph. Keith caught up after 8 hours. How long was Sally driving before Keith caught up?
Answer:
9.1 hours
Step-by-step explanation:
Given
Sally
Speed = 66mph
Keith
Speed = 75mph
Time = 8 hours
Required
Determine how long Sally has traveled
To solve this, we make use of Speed formula.
Speed = Distance/Time
Make Distance the subject of formula
Distance = Speed * Time
For Sally:[Substitute 66mph for speed]
Distance = 66 * Time ------ Equation 1
For Keith [Substitute 75mph for speed and 8 hours for Time]
Distance = 75 * 8
Distance = 600m----- Equation 2
From the question, we understand that Keith caught up; this implies that they've both traveled the same distance.
Hence;
Equation 1 = Equation 2
66 * Time = 600
Time = 600/66
Time = 9.1 hours
Hence, Sally has traveled 9.1 hours
In the figure below, if x = 80° and z =
36°, find y.
Step-by-step explanation:
theanswer is 64 degrees
Which is NOT a reasonable estimate?
A 683 + 431 = 1100
B 8236 X 387 = 3200
C 943 – 682 = 200
D 6247 + 312 = 20
last one hopefullly hahah
you are correct. all angles (except central) are not equal (iff TU and CB are not parallel)
the triangles are not similar
Answer:
it's A
They don't give you enough information to determine if they are similar or not
A can do a piece of work in 10 days and B in 12 days.
With the help of C they can finish the work in 4 days. How
long will C take to do it alone?
a) 12 days b) 15 days c) 18 days d) 20 days
Answer:
B. 15 days
Step-by-step explanation:
A=10=1/10 of the job
B=12=1/12 of the job
A+B+C=4=1/4 of the job
A+B
=1/10 + 1/12
=10+12/120
=22/120
=11/60
(A+B+C) - (A+B)
=1/4 - 11/60
=5 - 11/60
=4/60
=1/15
It would take C alone 15 days to finish the job
Latanya buys 5 yard of blue fabric and 8 yards of green fabric. the blue fabric cost $2 dollars more than the green fabric.she pays a total of $ 62. what would be the combined cost of 1 yard of blue fabric and one yard of green fabric?
Answer: $10
Step-by-step explanation:
let x = the price of green fabric, then x+2 = blue fabric price
8x+5(x+2)=62
8x+5x+10=62
13x+10=62
13x=52
x=4
price of green fabric=$4
price of blue fabric=$6
4+6=$10
Can someone PLEASE help with this question? thank you
Answer:
C) 1
Step-by-step explanation:
First half:
Invert and multiply
x²/y²*y³/x²=x²y³/y²x³=y/x
Second half:
Invert and multiply
1/y*x/1=x/y
Combine
y/x*x/y=xy/xy=1
(-3)+(-5)
What are the signs and places
Tony gets paid $5 per hour to babysit his cousin. This weekend, he babysat on
both Saturday and Sunday. He made a total of $55. Tony babysat for 6 hours on
Sunday. For how many hours did he babysit on Saturday?
Let x = hours spent babysitting on Saturday. Choose the equation and
solution steps that correctly represent this problem.
Answer:
5 hours
Step-by-step explanation:
55/5 is 11 (he worked 11 hours total). 11-6 is 5
Answer:
5 hours on Saturday
Step-by-step explanation:
x = hours
5x + 6(5) = 55
5x + 30 = 55
5x = 25
x = 5
Please help will give 5 stars with 1 thanks and 15 points
Answer:
mean is adding up all the numbers.
range means the difference between the Lowest and highest value.
Step-by-step explanation:
when we add the answer is 240.6.
divide it to 12..do the final answer is 20.05
range is 25.4_16.3
9.1
Answer:
Mean: 20.05
Range: 9.1
Step-by-step explanation:
To find the mean in this problem, first you add all the following numbers together then subtract by the quantity.
20.1 + 19.6 + 18.0 + 17.8 + 25.2 + 18.7 + 21.9 + 16.3 + 25.4 + 20.5 +17.8 + 19.3
= 240.6
Now, divide by the quantity which is 12 since there's 12 numbers.
240.6 divided by 12 = 20.05.
The mean is 20.05.
To find the range in the problem, you must subtract the smallest value from the largest value.
In this case, 16.3 is the smallest value and 25.4 is the largest.
25.4 - 16.3 = 9.1
9.1 is the range.
Hope this helps you!
