With the help of Trigonometry the box with length 5 feet, and height of 2 feet can be stored underneath the ramp.
What is Trigonometry?
Studying the correlations between triangle side lengths and angles is the subject of trigonometry, a branch of mathematics. From the use of geometry in astronomical research, the field first appeared in the Hellenistic world in the third century BC.
Dimensions are the measure of the length, width and height of a given object. Yes, a rectangular box of length 5 feet and height 2 feet can be stored underneath the ramp.
The measure of the sides of a given object is referred to as its dimensions. This can be with respect to its length, width, and height.
It has been given that the height of the ramp is 39 inches. But,
12 inches = 1 feet
So that,
39 inches = x feet
make x the subject of the formula to have;
x = 3.25 feet
Thus the dimensions of the ramp are ;
length = 12 feet
height = 3.25 feet
Therefore, the box with length 5 feet, and height of 2 feet can be stored underneath the ramp.
To learn more about Trigonometry from the given link
https://brainly.com/question/24349828
#SPJ1
I’m not sure I need help
Answer:
D) \(1 < x\leq 4\)
Step-by-step explanation:
1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)
Kathleen likes to make desserts for bake sales. Last month, she made 1 batch of brownies
and 1 batch of cookies, which called for 7 eggs total. The month before, she baked 1 batch of
brownies and 2 batches of cookies, which required a total of 11 eggs. How many eggs did
Kathleen use for a batch of each dessert?
eggs to make a batch of brownies and
Kathleen uses
of cookies.
Submit
eggs to make a batch
You h
Jay
Sales is a term used to describe the activities that lead to the selling of goods or services.
What is sales explain with an example?A sale is a transaction between two or more parties in which goods or services are exchanged for money or other assets. In the financial markets, a sale is an agreement between a buyer and seller involving the price of a security and its delivery for agreed-upon compensation.Sales play a key role in the building of loyalty and trust between customer and business. Trust and loyalty are the main reasons why a customer would choose to recommend your company to a friend or family member or write a great review of your product or service online.In general business operations, sales refer to any transactions where money or value is exchanged for the ownership of a good or entitlement to a service. In an accounting context, sales refers to a company's revenue earned from the sales of products or services (net sales).There are two main types of sales that sales representatives deal with: inside sales and outside sales. Inside sales. Inside sales are any sales done remotely or from the home office. These sales include phone, email, CRM platforms, and VOIP sales.Let x represent the number of eggs that she uses for one batch of brownies.
Let y represent the number of eggs that she uses for one batch of cookies.
Last month, she made 2 batches of brownies and 3 batches of cookies. This means that
2x + 3y = 16 - - - - - - - - - -1
The month before, she baked 1 batch of brownies and 1 batch of cookies, which required a total of 6 eggs. This means that
x + y = 6 - - - - - - - - - - - - - 2
Multiplying equation 1 by 1 and equation 2 by 2, it becomes
2x + 3y = 16
2x + 2y = 12
Subtracting, it becomes
y = 4
Substituting y = 4 into equation 2, it becomes
x + 4 = 6
x = 6 - 4 = 2
To learn more about Sales refer to:
https://brainly.com/question/25586322
#SPJ1
Consider the system of equations.
4x−3y=−22x+3y=6
Which property could be used to write the equation 6x = 4 as the first step to solving the system of equations?
Division Property of Equality
Distributive Property of Equality
Substitution Property of Equality
Addition Property of Equality
Answer:
Addition Property of Equality
Step-by-step explanation:
I know because I just took the test and that if you added both problems together you would get 6x=4.
Arrange all three number cards below to create the largest even three-digit number.
5 8
7
Answer:
Answer:
758
Step-by-step explanation:
The largest number that can be made is 875 but it ends in 5 which makes it an odd number.
The only even number is 8 so we have to use it last.
7 is bigger than 5 so 7 goes first which means it's 758
6) Use the distributive property to expand the following expression: 4(6 + x)
Answer:
24+4x
Step-by-step explanation:
4(6)= 24
4(x)= 4x
why does george need to fix the expression?; 15 − 9 + 2.65 + 1.35 + 2(1.74) why does george need to fix the expression?
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money. Look at the numerical expression George used: 15 - 9 + 2.65 + 1.35 + 2(1.74) Can you help him determine why he does not have enough money?
George doesn’t have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs.
From the above question:
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money.
Look at the numerical expression George used: 15 −( 9 + 2.65 + 1.35 + 2(1.74) )
Use the order of operations to simplify this expression.
Using the order of operations we have:
=$ 15 – (9 + 2.65 + 1.35 + 2(1.74) )
= $15 -( 9 + 2.65 + 1.35 + 3.48 )
=$ 15 – (16.48)
= $-1.48
Hence , george doesn’t have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs.
Learn more about order of operations at:
https://brainly.com/question/550188
#SPJ4
Help me now pretty please
write the value of pi bothin decimal and fraction
Answer:
3.142 and 22/7
Step-by-step explanation:
thats its
Emmanuel and Mauricio are solving the equation 7x−2=91.
Finish solving each equation.
Answer:
Emanuel: 7x=91+14, 7x=105, x=15
Mauricio: x-2=13, x=2+13, x=15
The equipment will cost $26,000. What lump sum should be invested today at 6%, compounded semiannually, to yield $26,000?a. $ 17,189.06 b. $ ...
To yield $26,000 in the future, compounded semiannually at an interest rate of 6%, a lump sum investment needs to be made today. The correct amount to invest can be calculated using the present value formula.
The present value formula can be used to calculate the amount that should be invested today to achieve a specific future value. The formula is given by:
PV = FV / (1 + r/n)^(n*t)
In this case, the future value (FV) is $26,000, the interest rate (r) is 6%, and the compounding is semiannually (n = 2). We need to solve for the present value (PV).
Using the formula and substituting the given values:
PV = 26,000 / \((1 + 0.06/2)^(2*1)\)
PV = 26,000 / \((1.03)^2\)
PV = 26,000 / 1.0609
PV ≈ $24,490.92
Therefore, the correct lump sum to invest today, at 6% compounded semiannually, to yield $26,000 in the future is approximately $24,490.92.
Learn more about compounded semiannually here:
https://brainly.com/question/28971900
#SPJ11
What are the values of r and a1 for 1/4(2)k-1
Given:
\(\sum_{k=1}^{6}\dfrac{1}{4}(2)^{k-1}\)
To find:
The values of r and \(a_1\).
Solution:
We have,
\(\sum_{k=1}^{6}\dfrac{1}{4}(2)^{k-1}\)
Here,
\(a_k=\dfrac{1}{4}(2)^{k-1}\) ...(i)
We know that, kth term of a GP is
\(a_k=a_1(r)^{k-1}\) ...(ii)
From (i) and (ii), we get
\(a_1=\dfrac{1}{4}\) and \(r=2\)
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
The drive-thru that typically has more wait time is
Burger Quick, because it has a larger median.
Option A is correct.
How do we calculate?Because Burger Quick's box plot displays a higher interquartile range (from 9.5 to 24) than Super Fast Food (from 8.5 to 15.5), Burger Quick often has longer wait times.
Additionally, Burger Quick's median (15.5) is greater than Super Fast Food's median (12), demonstrating that Burger Quick's middle value of reported wait times is higher than Super Fast Food's middle value of reported wait times.
Learn more about box plot at:
https://brainly.com/question/14277132
#SPJ1
Mrs. Jay has 22 games to put in a closet. She puts 4 of the games on the top shelf. She puts the rest of the games on the other 3 shelves. Each of the 3 shelves has the same number of games on it.
Answer:
6 games on each of the three shelves
Step-by-step explanation:
The total of 22 books minus the 4 books on the top shelf leaves 18 remaining books. You take that 18 and divide by 3 since there are three more shelves. This will leave you with a total of 6 books on each of the other shelves
22 - 4 = 18
18 / 3 = 6
1. New school desks were made for your school for the upcoming school year. The total
cost of making these desks is related to the amount that are made. This is shownin the
table below:
pls help its 100 points
Take 2 points
(21,1517)(47,2609)#a
Find slope
m=2609-1517/47-21m=1092/26m=$42#b
Find equation y inetercept is our answer
y-1517=42(x-21)y-1517=42x-882y=42x+635b=635
#c
Put x=250So
y=42(250)+635y=$11135Which equation represents a line parallel to the line through a(0, 2) and b(1, 0)?
The equation representing a line parallel to the line through a(0, 2) and b(1, 0) is y = -2x + 2.
To find the equation of the line passing through points a(0,2) and b(1,0)
The first thing that needs to be determined is the slope of the line.
We can then use the point-slope form of the equation to find the equation of the line.
We can find the slope of the line by using the formula:m=(y₂ - y₁)/(x₂ - x₁)
where (x₁, y₁) = a(0, 2) and (x₂, y₂) = b(1, 0).
Substituting the values, we get:m=(0 - 2)/(1 - 0)=-2/1=-2
Therefore, the slope of the line passing through points a and b is -2.
A line parallel to this line will have the same slope.
Hence, we can use the slope-intercept form of the equation to find the equation of the parallel line.
The slope-intercept form of the equation is:y = mx + b ,where m is the slope and b is the y-intercept.
To find the equation of the parallel line, we need to find the value of b.
We know that the line passes through the point a(0, 2).
Hence, we can substitute the values of x and y into the slope-intercept form of the equation and solve for b.2 = -2(0) + b2 = bTherefore, the value of b is 2.
Now we can substitute the values of m and b into the slope-intercept form of the equation to get the equation of the parallel line:y = -2x + 2
Learn more about equation from given link
https://brainly.com/question/17145398
#SPJ11
Mai biked 634 miles today, and Noah biked 472 miles.
How many times the length of Noah's bike ride was
Mai's bike ride?
Answer:
1.34 times the length of Noah's bike ride
Step-by-step explanation:
634/472
1.34322033898
1.34
1.34 times the length of Noah's bike ride
if two lines are parallel and one has a slope of -1/7, what is the slope of the other line?
-1/7, since parallel lines have equal slopes.
PLEASE PLEASE PLEASE I BEG YOUWhich graph is a function of x? On a coordinate plane, a vertical line is at x = negative 3. On a coordinate plane, a v-shaped graph opens up. On a coordinate plane, a parabola opens to the right. On a coordinate plane, one curve opens to the left and another curve opens to the right.
Answer:
On a coordinate plane, a v-shaped graph opens up.
Step-by-step explanation:
If you can draw a vertical line that intersects the graph in more than one place, the graph is NOT a function.
It appears your only function is ...
On a coordinate plane, a v-shaped graph opens up.
Answer:
On a coordinate plane, a v-shaped graph opens up.
Step-by-step explanation:
Good luck everybody and have a great day :D
Write an equation whose slope: -36 y-intercept -9,
Answer:
y = - 36x - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 36 and c = - 9 , then
y = - 36x - 9 ← equation of line
The box plots show the data distributions for the
number of customers who used a coupon each hour
for two days of a store sale.
Number of Coupon Users per Hour
Day 1
Day 2
1
2
3
4
5
6
8 9 10 11 12
15
14
13
What is the difference of the medians?
00
O2
O4
07
Answer:
2
Step-by-step explanation:
We can observe from the box plot the medians of both days.
The line in the middle of the box plot represents the median.
The median for Day 1 is: 6
The median for Day 2 is: 8
We have to find the difference between medians of both box plots so the difference is:
8 - 6 = 2
The difference between the medians is 2.
if i simplified 6/33 what would my answer be
Answer:
Exact form 2/11
Decimal form 0.18
determine whether the series is convergent or divergent. [infinity] k = 1 k2 k2 − 2k 9 convergent divergent if it is convergent, find its sum. (if the quantity diverges, enter diverges.)
the series is convergent or divergent. [infinity] k = 1 k2 k2 − 2k 9 convergent divergent if it is convergent, find its sum. (if the quantity diverges, enter diverges.) is convergent.
To determine whether the series is convergent or divergent, we can use the limit comparison test. We can compare the given series with the p-series 1/k^2, which is a known convergent series.
Using the limit comparison test, we have:
lim (k→∞) (k^2/(k^2-2k+9))/(1/k^2) = lim (k→∞) k^4/(k^2-2k+9)
Using L'Hopital's rule, we can evaluate the limit as:
lim (k→∞) 4k^3/(2k-2) = ∞
Since the limit is greater than zero, we can conclude that the given series converges if and only if the p-series 1/k^2 converges. Since the p-series converges, the given series also converges.
The series is convergent. However, we are not asked to find the sum of the series in this question.
To learn more about convergent. visit:
https://brainly.com/question/29258536
#SPJ11
What is the average time it took for the tablet to dissolve in room temperature water?
ANSWER FOR 30 POINTS!!!
Answer:
It may take 20 to 30 seconds.
Step-by-step explanation: Hope this helped
brainliest?
The average time it took for a tablet to dissolve in water that was 22 °C in temperature was 28.3 seconds.
What is a drug?Any substance that, when consumed, alters the physiology or psychology of an organism qualifies as a drug.
What are the factors that affect the solubility of drug?
The properties of the API (active pharmaceutical ingredient) such as
solubility, wettability, particle size, surface area, morphology, the formulation's composition hardness, manufacturing process.To learn more about tablet, pharmaceutical, and physiology here,
https://brainly.com/question/14551883
#SPJ2
The quotient of a number and 2 A. x/2 B. 2/x
Step-by-step explanation:
The quotient of a number and 2
Solution,
Let the number be x, then
\( \frac{x}{2} \)
Answer:
The quotient of a number and 2
Let the required number be x
According to the above problem
\( →x \div 2 = \boxed{\frac{x}{2} }✓ \)
A. x/2 is the right answer.A health care provider wants to rate its members' satisfaction with physical therapy. A questionnaire is mailed to 800 members of the health plan selected at random from the list of members who were prescribed physical therapy in the past 12 months. Only 212 questionnaires are returned. (a) What is the intended population in this study? Be careful: What group does the health care provider want information about? O the 212 members who returned the questionnaire O all members who received physical therapy in the past 12 months O all of the health care provider's members O the 800 members who were randomly selected (b) What is the sample? Be careful: From what group does the provider actually obtain information? O the 212 members who returned the questionnaire O the 800 members who were randomly selected
O all members who have received physical therapy O all members who received physical therapy in the past 12 months
The intended population in this study is all members who received physical therapy in the past 12 months. The sample is the 212 members who returned the questionnaire.
The health care provider wants information about the satisfaction of its members who received physical therapy in the past 12 months. Therefore, the intended population in this study is all members who received physical therapy in that time period. This includes both the members who returned the questionnaire and those who did not.
On the other hand, the sample refers to the group from which the health care provider actually obtains information. In this case, the sample consists of the 212 members who returned the questionnaire. These are the individuals who voluntarily participated in the survey and provided their feedback on the satisfaction with physical therapy services. The sample represents a subset of the intended population.
Learn more about subset here:
https://brainly.com/question/31569950
#SPJ11
what is excess reagent
Answer:
We are commonly asked to find the extra reactants in a chemical equation. We can find it after balancing the equation and seeing the amount of moles that are present for each substance. Hence in chemistry and thermodynamic reactions it is the extra reactants that are not used up during the combustion process and therefore is excess of a said element.There are also limiting reagent which is the substance that limits the amount that can react and can be produced in a chemical reactionRate positively and give brainlist
The limiting reagent in a chemical reaction is a reactant that is totally consumed when the chemical reaction is completed. The amount of product formed is limited by this reagent, since the reaction cannot continue without it.
why is excess reagent used:
A good way to ensure that one reactant fully reacts is to use an excess of the other reactant. This is financially efficient when one of the reactants is very cheap. When one reactant is in excess, there will always be some left over.
how do you find the excess reagent:
The reactant that produces a lesser amount of product is the limiting reagent. The reactant that produces a larger amount of product is the excess reagent. To find the amount of remaining excess reactant, subtract the mass of excess reagent consumed from the total mass of excess reagent given
What would be the degree of financial leverage for Foggy Futures Weather Forecasters if the company has earnings before interest and taxes of $750,000, has a 4. 5% loan on $1,000,000, and is in the 38% tax bracket? The firm does not have any preferred stock outstanding. A. 1. 22 b. 0. 97 c. 1. 06 d. 1. 78
The degree of financial leverage for Foggy Futures Weather Forecasters
is 1.06
Degree of Financial leverage (DFL) = (EBIT) / (EBT)
Earnings Before Interest and Taxes (EBIT) = $750,000
Amount to be given as loan on $1000000
$1,000,000 x 4.5% = $1,000,000 x 4.5/100
= $45000
To find EBT ( Earnings Before Tax),
EBT = EBIT - 45000
= 750000 - 45000
EBT = 705000
∴ DFL = (EBIT) / (EBT)
= 750000/705000
DFL = 1.06
The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).
Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve
Learn more about Degree of Financial Leverage :
https://brainly.com/question/23841033
#SPJ4
i need helppp
HELLPP!!!!!!!!!!!
√131 lies between 11 and 12.
What are whole numbers?The numbers that include natural numbers and zero are called whole numbers.
Given is the square root of 131.
We can write the square root of 131 as -
√131 = 11.45
We can write the whole numbers as -
11 < 11.45 < 12
Therefore, √131 lies between 11 and 12.
To solve more questions on numbers, visit the link below -
https://brainly.com/question/30034780
#SPJ1
Find the degree of each angle of the triangle
Answer:
51,51,78
Step-by-step explanation:
First of all equate the two angles since it is isoceles.
3x+9= 4x-5 , therefore x= 14
sub that in and find the rest of the angles.
angle G---> 4*14 -5 = 51
angle I--->3*14+9= 51
last angle 180 - 2*51 = 78
Expand( a/3 - b/6 -1)^2
Answer:
Hello!
~~~~~~~~~~~~~~~~~~~~
( a/3 - b/6 -1)^2 as expanded form:
\(\frac{a^2}{9} - \frac{ab}{9} - \frac{b^2}{36} - \frac{2a}{3} - \frac{b}{3} + 1\)
Step-by-step explanation: You have to Simplify the expression.
Hope this helped you. Brainliest would be nice!