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
Convert the following: 2 liters is equivalent to ounces (rounded to the nearest hundredth)
Answer:
67.63 oz
Step-by-step explanation:
1 liter = 33.814 oz
2 litres = 2 x 33.814 oz = 67.628 oz
Four students are verifying that x2 + x– 12 = (x – 3)(x + 4). Their conclusions are presented in the table. A 4-column table with 1 row. First column is labeled Damien with entry 3(negative 4) = negative 12, so the factors are correct. Second column is labeled Lauryn with entry negative 4 + 3 = negative 1, so the factors are correct. Third column is labeled Rico with entry negative 4(3) = negative 12 and negative 4 + 3 = negative 1, so the factors are correct. Fourth column is labeled Latisha with entry 4(negative 3) = negative 12 and negative 3 + 4 =1, so the factors are correct. Which student correctly verified that x2 + x – 12 = (x – 3)(x + 4)? Damien Lauryn Rico Latisha
Answer:
Latisha correctly verified that x² + x - 12 = (x - 3)(x + 4)
Step-by-step explanation:
In the problem, each student was to give their explanation of why the statement above is correct. In order to know if this statement is correct, you can also simply multiply the terms after the equal sign.
(x - 3)(x + 4)
Use foil method to multiply.
x² - 3x + 4x - 12
Combine like terms.
x² + x - 12
You can also find out if the statement is correct is multiplying and adding the numbers together.
-3 * 4 = -12
-3 + 4 = 1
So, Latisha is correct because her explanation verified the statement above.
Answer:
Latisha
Step-by-step explanation:
Correct on edg
The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place. According to the fundamental theorem of algebra, which of the following statements is correct? A. The quadratic function has no real zeros and two complex zeros. B. The quadratic function has one distinct real zero and one distinct complex zero. C. The quadratic function has two distinct real zeros and one distinct complex zero. D. The quadratic function has two distinct real zeros.
Answer: D. The quadratic function has two distinct real zeros.
There are no complex roots as a quadratic's roots are maxed out at 2. The fundamental theorem of algebra says that if you have an nth degree polynomial, then the max number of real roots is n.
This quadratic's roots are distinct because the two x intercepts are in different places. Each x intercept is a root.
Convert to slope-intercept from: y-3=6(x-5)
Answer:
y = 6x -27
Step-by-step explanation:
y-3=6(x-5)
Distribute
y-3 = 6x-30
Add 3 to each side
y-3+3 = 6x-30+3
y = 6x -27
This is in slope intercept form y=mx+b where m is the slope and b is the y intercept
Hey there! I'm happy to help!
Slope intercept form is y=mx+b. So, the first thing we want to do is isolate y on side of the equation.
y-3=6(x-5)
We use distributive property to undo parentheses.
y=3=6x-30
We add 3 to both sides.
y=6x-27
Now, this in slope intercept form.
Have a wonderful day! :D
Enter the values needed to find the length CB
Answer:
[tex]6b[/tex]
Step-by-step explanation:
We know that the distance formula is [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]. We already have the x values, which are [tex]5a[/tex] and [tex]-a[/tex], subtracting [tex]-a[/tex] from 5a gets us [tex]6a[/tex].
Same concept for the y values, let's subtract the first y value from the second.
The second y value is [tex]b[/tex], while the first is [tex]-5b[/tex]
[tex]b - (-5b) = b + 5b = 6b[/tex]
Hope this helped!
Answer:
6b is your answer!
Step-by-step explanation:
I wish ALL ACELLUS USERS LUCK
Select the correct answer. Which triangles in the diagram are congruent? A. triangle 1 and triangle 2 B. triangle 1, triangle 2, and triangle 3 C. triangle 1 and triangle 3 D. triangle 1, triangle 3, and triangle 4
Answer:
Triangle 1 and 3
Step-by-step explanation:
Based on a Congruent rule Side angle side :
In triangle 1 and triangle 3 are congruent by side angle side .
Therefore, the answer is triangle 1 and triangle 3.
Answer:
C.
Step-by-step explanation:
I got it right on Plato
In an examination ,80%examines passed in english,70%In mathematics and 60% in both subjects.if 45 examines failed in both subject.
1.draw a venn-diagram to represent the above information .
2.find the number of examines who passed only one subject.
3.find the number of student who failed in mathematics.
Answer:
1. Please refer to attached diagram.
2. 135
3. 135
Step-by-step explanation:
Given that
80%examines passed in English, n(E) = 80%
70%In mathematics, n(M) = 70%
and 60% in both subjects, n(E [tex]\cap[/tex] M) = 60%
45 examines failed in both subject.
1. Venn Diagram is attached in the answer area.
One circle represents the pass examines in Maths and
Other circle represents the pass examines in English.
Rectangle represents the total number of examines that appeared for the exam.
Rectangle minus the area of union of circles represent the number of students who failed in both subjects.
2. To find the number of examines who passed in only one subject.
i.e. n(E) - n(E [tex]\cap[/tex] M) + n(M) - n(E [tex]\cap[/tex] M) = (80 - 60 + 70 - 60)% = 30%
Let us find the number of students who passed in atleast one subject:
[tex]n(E\cup M) = n(E) +n(M)-n(E \cap M)\\\Rightarrow n(E\cup M) = (80 +70-60)\% = \bold{90\%}[/tex]
So, number of students who failed in both subjects = 100 - 90% = 10% of total students = 45
So, total number of students appeared = 450
So, number of examines who passed in only one subject = 450 [tex]\times[/tex] 30% = 135
3. Number of students who failed in mathematics.
100% - Passed in Mathematics = 100% - 70% = 30% of 450 = 135
Need help please will give you 5 stars and good rating
Answer:
two complex solutions
Step-by-step explanation:
2x^2 + 4x+4
Factor out 2
2( x^2+2x+2)
Using the discriminant on the inner term
b^2 -4ac where a=1 b=2 c=2
2^2 -4 (1) (2)
4 - 8
-4
Since the discriminant is negative, we will have 2 complex solutions
Answer:
2 complex solutions
Step-by-step explanation:
Given the standard form quadratic ...
ax^2 +bx +c
The expression b^2-4ac is called the "discriminant." Its value can be used to predict the type of solutions. Here, we have ...
a=2, b=4, c=4
so the discriminant is ...
d = b^2 -4ac = 4^2 -4(2)(4) = -16
Because the discriminant is negative, we can predict there are 2 complex solutions.
__
The graph has no x-intercepts, confirming there are 2 complex solutions.
which of the following statements must be true about this diagram ? check ALL that apply
Answer:
Check A, B and DStep-by-step explanation:
A. m∠4 = 180° - m∠3
m∠1 = 180° - (m∠3 + m∠2)
m∠3 < m∠3 + m∠2 ⇒ m∠4 >m∠1
B. m∠4 = 180° - m∠3
m∠2 = 180° - (m∠3 + m∠1)
m∠3 < m∠3 + m∠1 ⇒ m∠4 >m∠2
C. Not necessarily {could be but not always}
D. m∠4 = 180° - m∠3
m∠1 + m∠2 + m∠3 = 180° ⇒ m∠1 + m∠2 = 180° - m∠3 = m∠4
E. m∠3 = m∠1 + m∠2 only if m∠3 = 90°
F. Not necessarily. {Could be but also could not be. In the picture is, but we don't know if the diagram is accurate or just approximate.}
Simplify the expression. (6x – 5) + (4x2 – 3x + 4)
[tex](6x - 5) + (4x^2- 3x + 4)=\\6x-5+4x^2-3x+4=\\4x^2+3x-1[/tex]
Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much water as much water as Elena. Lin drank twice as much water as Jada. Did jada drink more or less water than Elena?
Answer:
Jada drank less water than Elina.
Step-by-step explanation:
Water drunk by Elina = 3 liters
Jada drank the water [tex]\frac{3}{4}[/tex] times as much as water as Elina.
Therefore, water drunk by Jada = [tex]\frac{3}{4}\times 3[/tex]
= [tex]\frac{9}{4}[/tex]
= 2.25 liters
Lin drank water twice as much as Jada.
Therefore, Lin drank the amount of water = 2 × 2.25
= 4.5 liters
Since Jada drank 2.25 liters of water and Elina drank 3 liters
Therefore, Jada drank less water than Elina.
Find the coordinates of point G that lies along the directed line segment from F(-1, -1) to H(-8, 20) and partitions the segment in the ratio of 5:2.
Answer:
coordinates of point g is ( -6, 14)
Step-by-step explanation:
The coordinates of the point which divides the point (x1,y1) and (x2,y2) in m:n ratio is given by (nx1+mx2)/(m+n), (ny1+my2)/(m+n).
___________________________________________
given point
F(-1, -1) to H(-8, 20)
ratio : 5:2
the coordinates of point g is
(2*-1+5*-8)/(5+2), (2*-1+5*20)/(5+2)
=> (-2 -40/7 , -2+100/7)
=> (-42/7, 98/7)
=>( -6, 14)
Thus , coordinates of point g is ( -6, 14)
9e - 7 = 7e – 11
Please help!?,!;):)
Answer:
e=-2
Step-by-step explanation:
9e-7e=-11+7
2e=-4
e=-2
In the function above, the slope will be multiplied by -4, and the y-value of the y-intercept will be decreased by 1 unit. Which of the following graphs best represents the new function?
Answer: Answer Z :)
Step-by-step explanation:
Michael is trying to hang Christmas lights on his house. His house is 17 ft tall and the ladder leaning is 34 degrees above the ground. How long must the ladder be to reach the house? a 24 feet b 17 feet c 34 feet d 30 feet
Answer:
34 feet
Step-by-step explanation:
let length of ladder be x
[tex] \ \sin(34) = \frac{17}{x} [/tex]
[tex]x \sin(34) = 17[/tex]
[tex]x = \frac{17}{ \sin(34) } [/tex]
x = 32.131083564
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random. What is the approximate probability that exactly three of the cards are diamonds? 1% 4% 11% 44%
Answer:
4%
Step-by-step explanation:
There are ₁₃C₃ ways to choose 3 diamonds from 13.
There are ₃₉C₁ ways to choose 1 non-diamond from 39.
There are ₅₂C₄ ways to choose 4 cards from 52.
Therefore, the probability is:
₁₃C₃ ₃₉C₁ / ₅₂C₄
= 286 × 39 / 270,725
≈ 0.04
The approximate probability that exactly three of the cards are diamonds is 4%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We are given that standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades.
Since we can see that there are ₁₃C₃ ways to choose 3 diamonds from 13.
₃₉C₁ ways to choose 1 non-diamond from 39.
₅₂C₄ ways to choose 4 cards from 52.
Therefore, the probability is:
₁₃C₃ ₃₉C₁ / ₅₂C₄
= 286 × 39 / 270,725
≈ 0.04
Therefore, the answer could be 4 percent.
Learn more about probability here;
https://brainly.com/question/9326835
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Simplify 16k/7k a) k+23 b) 9k c) 23k d) 23k^2
Answer:
16/7
Step-by-step explanation:
16k / 7k
Divide the numbers
16/7
Divide the variables
k/k = 1
16/7
What types of concurrent constructions are needed to find the orthocenter of a triangle? A. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint B. intersection of the lines drawn to bisect each vertex of the triangle C. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side D. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex
Answer:
intersection of the lines drawn to bisect each vertex of the triangle
Step-by-step explanation:
trust
12. Explain why is (+5) + (-7) = -2.
Let's use a number line to help us visualize what's going on.
Starting at 0, +5 takes us 5 units to the right.
From there, -7 moves us 7 units back to the left and we end up at -2.
So (+5) + (-7) simplifies to -2.
Take a look at the image below.
Mr. Evans is considering offering a second after-school tutoring session for his math students each week. He records the number of students who attend his current sessions each week. The results from the last twelve weeks are shown in the dot plot below.
Answer:
The correct options are:
Four families said they ate out twice the previous week.
One family said they ate out 5 times the previous week.
The median best represents the data set.
Step-by-step explanation:
We are given a data set as:
4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1
On arranging this data set in the frequency table we get:
Number of times they went for dinner Number of families
0 2
1 3
2 4
3 1
4 2
5 1
6 1
Hence, the range of the number line is between 0 to 6.
Also there are 4 dots above 2.
Hence, Four families said they ate out twice the previous week.
Also there is one dot above 5.
Hence, One family said they ate out 5 times the previous week.
The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.
Hence, the data set is not symmetrical.
Also we know that the median of the data is the central tendency of the data and always best represents the data.
Hence, The median best represents the data set.
Hope it helped u!.... Btw can u plz mark me BRAINLIEST.. If it helped u?
Tysm!
Answer: The data is skewed left option c
Step-by-step explanation: A set of data is skewed when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the data lies to the right. Therefore, the data is skewed left.
Express the following as decimals step by step. 3×10+4×1+7×1/10
Answer:
34.7
Step-by-step explanation:
First Step: Multiply.
3 × 10 = 30
4 × 1 = 4
7 × 1/10 = 7/10
Second step: Add.
30 + 4 + 7/10= 347/10
Final step: Make it a decimal.
347 ÷ 10 = 34.7
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[tex]3\times 10+4\times 1+7\times 1/10[/tex]
[tex]= \frac{347}{10}[/tex] (Decimal: 34.7)
Step by Step Explanation.
[tex](3) (10) + (4) (1) + \frac{(7)(1)}{10} \\= 30 + (4) (1) + \frac{(7)(1)}{10} \\= 34 + \frac{(7)(1)}{10} \\= 34 + \frac{7}{10} \\= \frac{347}{10}[/tex]
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If this helped you, could you maybe give brainliest..?
❀*May*❀
Of the students at Milton Middle School, 120 are girls. If 50% of the students are girls, how many total students are there at Milton Middle school
(3)/(22)+(-(1)/(11) find the sum without use of a number line
Answer:
1/22
Step-by-step explanation:
Simplify it.
It becomes 3/22-1/11
Change the denominator to 22 becasue that is the LCM.
It becomes 3/22-2/22 which is 1/22. :)
- 4 = -17 + x
- 4 = - 17 + x
Answer:
x = 13
Step-by-step explanation:
- 4 = -17 + x
Add 17 to each side
- 4+17 = -17+17 + x
13 =x
Answer:
-4+17=x
13=x
you substitute and then solve for the answer
EXTRA POINTS If x = 2.5, 5x = ____. (Only input decimals such as 12.7 as the answer.)
Answer:
12.5
Step-by-step explanation:
2.5 * 5 = 12.5
A fruit tray was served at a meeting. During the meeting, 4 out of 10 strawberries were eaten. Which model has a shaded region that represents the amount of strawberries eaten during the meeting?
Answer:
4 of the berries will be shaded
Step-by-step explanation:
The model that shows that 4 out of 10 strawberries were eaten is attached.
What is a expression? What is a mathematical equation? What is a fraction?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A fraction represents a part of a whole or, more generally, any number of equal parts. A fraction is written as - {x/y}, where [x] is numerator and [y] is denominator.We have, 4 out of 10 strawberries were eaten in a fruit tray.
Refer to the image attached. This model shows that the 4 out of 10 strawberries were eaten.
Therefore, the model that shows that 4 out of 10 strawberries were eaten is attached.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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Solve the equation for x
Answer:
x = 33
Step 1:
First, let's add the values together from both parentheses.
2x + x = 3x
1 + (-10) = -9
Now we are left with:
3x - 9 = 90.
Step 2:
Add 9 on the left side to cancel out the 9. Add it to the right side.
3x = 99
Finally, divide both sides by 3 to get our answer.
3x / 3 = x
99 / 3 = 33
x = 33
How to do this question plz answer me step by step plzz
Answer:
Hope it helps U can still ask me if u have confusions
Answer:
60+16√30 cm² ≈ 147.64 cm²
Step-by-step explanation:
You can figure the height of the object from ...
V = Bh
120 cm^3 = (30 cm^2)h
4 cm = h . . . . . divide by 30 cm^2
However, this is insufficient to tell you the surface area.
__
If you assume that the base is square, then its side length is
A = s^2
s = √A = √(30 cm^2) = (√30) cm
The lateral surface area can then be found from the perimeter of the base and the height
LA = Ph = (4√30 cm)(4 cm) = 16√30 cm^2
The total surface area will be the sum of this lateral area and the area of the two bases:
total area = 16√30 cm^2 +2·30 cm^2
total area = (60 +16√30) cm^2 ≈ 147.64 cm^2
__
For any other shape, the total area will be larger. It can be arbitrarily large, unless limits are put on the dimensions of the object.
Evaluate 2x+3x+2 for x= -2
Answer:
-8
Step-by-step explanation:
2(-2) +3(-2) +2
-4 -6 +2
-10 +2
-8
if polynomial ax3 + 3x2 - 3 and 2x3 - 5x + a leaves the same remainder when each is devided by x - 4 find the valuse of a
Answer:
a = 1
Step-by-step explanation:
Given that both ax³ + 3x² - 3 and 2x³ - 5x + a have the same remainder when divided by x - 4.
x - 4 = 0
x = 4
When ax³ + 3x² - 3 is divided by x - 4, the remainder is gotten by substituting x = 4:
a(4)³+3(4)²-3 = 64a + 48 - 3 = 64a + 45
The remainder is 64a³ + 45
For 2x³ - 5x + a we find the remainder by substituting x = 4:
2(4)³ - 5(4) + a = 128 - 20 + a = 108 + a
Since they both have the same remainder, therefore:
64a + 45 = 108 + a
64a - a = 108 - 45
63a = 63
a = 1
