Answer:
2.4 hours.
Step-by-step explanation:
Remark
The supervisor is not quite correct. The correct answer must be lower than the lowest number, otherwise you are taking out what the person with the narrower hose must be taking out what the other person is putting in.
Equation
Let x = the amount of time needed for him to fill the pool
Let y = the amount of time needed for the second person to fill the pool
Let z = the amount of time needed for both to fill the pool.
1/x + 1/ y = 1/z
1/4 + 1/6 = 1/z The common denominator is 12
3/12 + 2/12 = 1/z
5/12 = 1/z Cross multiply
5z = 12 * 1 Divide by 5
z = 12/5
z = 2 2/5
z = 2.4 hours
I need help with #6 please.
9514 1404 393
Answer:
6. (A, B, C) ≈ (112.4°, 29.5°, 38.0°)
7. (a, b, C) ≈ (180.5, 238.5, 145°)
Step-by-step explanation:
My "work" is to make use of a triangle solver calculator. The results are attached. Triangle solvers are available for phone or tablet and on web sites. Many graphing calculators have triangle solvers built in.
__
We suppose you're to make use of the Law of Sines and the Law of Cosines, as applicable.
6. When 3 sides are given, the Law of Cosines can be used to find the angles. For example, angle A can be found from ...
A = arccos((b² +c² -a²)/(2bc))
A = arccos((8² +10² -15²)/(2·8·10)) = arccos(-61/160) = 112.4°
The other angles can be found by permuting the variables appropriately.
B = arccos((225 +100 -64)/(2·15·10) = arccos(261/300) ≈ 29.5°
The third angle can be found as the supplement to the other two.
C = 180° -112.411° -29.541° = 38.048° ≈ 38.0°
The angles (A, B, C) are about (112.4°, 29.5°, 38.0°).
__
7. When insufficient information is given for the Law of Cosines, the Law of Sines can be useful. It tells us side lengths are proportional to the sine of the opposite angle. With two angles, we can find the third, and with any side length, we can then find the other side lengths.
C = 180° -A -B = 145°
a = c(sin(A)/sin(C)) = 400·sin(15°)/sin(145°) ≈ 180.49
b = c(sin(B)/sin(C)) = 400·sin(20°)/sin(145°) ≈ 238.52
The measures (a, b, C) are about (180.5, 238.5, 145°).
During a recent drought, a water utility in a certain town sampled 100 residential water bills and found that 75 of the residences had reduced their water consumption over that of the previous year. Find a 95% confidence interval for the proportion of residences that reduced their water consumption. Round the answers to three decimal places.
Answer:
The 95% confidence interval for the proportion of residences that reduced their water consumption is (0.665, 0.835).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Sampled 100 residential water bills and found that 75 of the residences had reduced their water consumption over that of the previous year.
This means that [tex]n = 100, \pi = \frac{75}{100} = 0.75[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.96\sqrt{\frac{0.75*0.25}{100}} = 0.665[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.96\sqrt{\frac{0.75*0.25}{100}} = 0.835[/tex]
The 95% confidence interval for the proportion of residences that reduced their water consumption is (0.665, 0.835).
I would really appreciate it if someone could answer this I will give a brainlist:)
Answer:
Step-by-step explanation:
c=a2+b2−−−−−−√
a=182+152−−−−−−−−√
c=324+225−−−−−−−−√
c=549−−−√
c=23.4307
Answer:
x = 17
Step-by-step explanation:
Formula:
a² + b² = c²
8² + 15² = c²
64 + 225 = c²
c² = 289
[tex]\sqrt{c^2} =\sqrt{289}[/tex]
c = 17
what's the opposite of -3.9
positive 3.9
negative is the opposite of positive
positive it the opposite of negative
Please please please help
Answer:
the answer is more than 6 rides
Answer:
The answer is more than 6 rides.
Step-by-step explanation:
Plan A has the same cost of $15 no matter the number of rides. It stays the same. However, Plan B has an increasing price depending on how many rides you ride. Once you reach 6 rides, which is the exact same price for both of the plans, Plan A will stay at $15 for more rides, while Plan B will continue to increase in price for more rides.
which of the following box plot has the greatest median F. G. H. J.
Step-by-step explanation:
hmph................
Pls help me I will give brainliest
Answer:
x=8
Step-by-step explanation:
Hope this helps!!
Determine the lateral and total surface area of the pyramid
Answer:
where are the numbers?
Step-by-step explanation:
Answer:
Ur in collage??
Step-by-step explanation:
Im in middle school learning this!! and what r the numbers?
FIND THE AREA OF THE SHAPE
Cherie writes an expression with 4 terms. Three of the terms are like terms. How many
terms are in the equivalent expression with the least number of terms? Explain your
reasoning.
Answer:
like terms are terms that contains same variable
The required equivalent expression with the least number of terms has 2 terms.
What is a number system?A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
If three of the terms are like terms, then we can combine them into a single term. Let's say that the expression with 4 terms is:
a + b + c + d
where a, b, and c are like terms. Then we can combine them to get:
(a + b + c) + d
which is an expression with only 2 terms.
So the equivalent expression with the least number of terms has 2 terms. We can do this by combining the like terms to simplify the expression.
Learn more about the number system here:
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#SPJ2
PLZ HELP I GIVE BRAINLIEST!!!
Answer:
800 × ( 3.87÷ 100 ) × 1
= 30.96
round 38.68 to the nearest hundred
2
10 m
5 m
what is the hypotenuse
Answer:
i don't know the answer sorry
Step-by-step explanation:
What is the area of this rectangle ?
Answer:
1x
Step-by-step explanation:
Area is length times width. Because there isnt a value for x, the area is just 1x. Let me know in the comments if it was right!
Which retirement plan is managed by an insurance company?
a Fixed Annuity
b Pension Plan
c Roth IRA
d Traditional IRA
Answer:
Fixed Annuity
Step-by-step explanation:
Fixed annuity is the most common annuity
During the accumulation phase, the individual makes a lump-sum payment or multiple payments over time to the insurance company
The insurance company invests the money as it sees fit, along with the money of other participants, forming a pool of invested funds
Can someone provide some assistance.
Answer:
m<E=120°
m<T=60°
Step-by-step explanation:
10m+4m+12=180
14m=168
m=12
m<E=10m=10(12)=120
m<T=4m+12=4(12)+12=48+12=60
Answer:
Solution given:
10m+4m+12=180°[sum of opposite angle of cyclic quadrilateral is supplementary]
14m=180-12
m=168/14=12
m<E=10×12=120°
m<T=4×12+12=60°
how do you solve an equation that looks like this?
Answer:
x = 11
Step-by-step explanation:
5x - 8 + 43 = 90
5x = 55
x = 11
Step-by-step explanation:
5x - 8° + 43° = 90° (right Angle)
5x + 35° = 90°
5x = 90° - 35°
5x = 55°
x = 55°/5
x = 11°
5x - 8 = 5 × 11 - 8 = 47°
The first angle is 47° and second one is 43°.
Can someone help me? I’ll reward brainalist + points
Answer:
B, -25
Step-by-step explanation:
3-4 = -1
-1(3 + 3^2 + 13) = -1(25), the answer is -25
Answer:
-25
Step-by-step explanation:
-25 is the answer...........
A rocket is fired directly upwards with a velocity of 80 ft/sec. The equation for its height, H, as a function of time, t, is
given by the function
H (t) = -1612 + 80+
Find the time at which the rocket reaches its maximum height, and its maximum height.
5
a) O time =
22
sec, max height = 200 ft
b) O time = 80 sec, max height = 100 ft
5
c) O time =
2
sec, max height = 100 ft
d) O time = 5 sec, max height = 200 ft
5
e) Otime = sec, max height = 400 ft
23
Revie
Answer:
(c).
Step-by-step explanation:
h(t) = - 16 t² + 80 t
Coordinates of the vertex are:
t = - [tex]\frac{80}{2(-16)}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5 sec.
h = - 16(2.5)² + 80(2.5) = - 100 + 200 = 100 ft.
What is the greatest
common factor of 4 and 34?
Answer:
2
Step-by-step explanation:
The Greatest Common Factor (GCF) is the number that both numbers share. In this case, 4 and 34 can both be divided by 2 evenly to produce an answer. However, no other number can be used to divide both numbers, making 2 the final answer.
Jina is pumping water into a tank at a rate of 15 liters per minute. Since she started pumping water, 13 liters has splashed out of the tank. Her goal is given by
15x-13 < 77, where x is the number of minutes she pumps water into the tank.
First, solve the given inequality and graph the solution on the number line below.
Then, choose and complete the statement that best describes the solution
Step-by-step explanation:
subtract-13 from -13 get zero
then, subtract 13 from 77 =64
then do divide 15 from 15
then divide 15 from 64 = 4.26 repeat
Owner investment: $8,000
Revenue: $15,000
Equity: $21,000
Expenses: $3,000
Based on this data, the net profit or loss on the income statement should be:
Answer: $12,000
Step-by-step explanation:
The Income statement shows the Net Profit or Loss for a company in a given period. That Net income is calculated by subtracting expenses from the revenue for the period:
= Revenue - Expenses
= 15,000 - 3,000
= $12,000
Dylan records whether people prefer to drink milk, tea, coffee, or smoothie in the morning. He
separates the responses by which of three eastern United States regions they live in the Northeast,
the Mid-Atlantic, or the South. What is the conditional frequency of people from the Mid-Atlantic
who prefer smoothie, relative to the total number of respondents? Round to the nearest hundredth
if necessary
Write a sentence containing a gerund which functions as the subject of the verb.
Answer:
Swimming can improve your health.
Step-by-step explanation:
Gerunds are nouns which derive from verbs and take the -ing form. In the sentence, the noun swimming functions as the subject of the verb can.
Gerunds are usually used as subjects of sentences, after certain verbs (such as enjoy and look forward to) and after prepositions.
x:y=5:3 and x+y=56 work ouy the value of x and y
Answer:
x=35, y=21
Step-by-step explanation:
A way to rewrite the first equation is [tex]\frac{x}{y} =\frac{5}{3}[/tex]
after cross-multiplying, we get 3x=5y.
If we solve for one variable, we can substitute it into the other equation.
Let's solve for x.
3x=5y
x=(5/3)y
Now, we can substitute x=(5/3)y in the equation x+y=56.
(5/3)y+y=56
(8/3)y=56
y=21
Going back to x+y=56, we can now plug back in y, knowing that it is 21.
x+21=56
x=35.
norma had 3/8 birthday cake left over from her party she ate 3/4 of the cake for lunch. how much did she eat at lunch?
Answer:
1/12
Step-by-step explanation:
Fraction is the representation of the parts of a whole number. The amount of cake ate by Norma in the lunch is 9/32 parts.
Given-Total cake left over by the Norma after the party is 3/8.
Total cake she ate for the lunch is 3/4.
The value of the whole cake is given in the fraction parts. To solve this the fraction should be understood.
What is fraction?Fraction is the representation of the parts of a whole number.
As the one whole of cake was there earlier. The 3/8 part of the cake is,
[tex]=\dfrac{3}{8}[/tex]
As she ate the 3/4 part of the left over cake in the lunch. Suppose the part of cake she ate is x. Therefore the part of cake she ate at lunch is,
[tex]x=\dfrac{3}{8} \times\dfrac{3}{4}[/tex]
[tex]x=\dfrac{9}{32}[/tex]
Hence, the amount of cake ate by Norma in the lunch is 9/32 parts.
Learn more about the fraction here;
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Find the difference 7/9 - 5/13 in lowest term
Answer:
46/117
Step-by-step explanation:
Answer:
46/117
Step-by-step explanation:
this is a type of fraction which can not be simplified
(11–6)÷6. Solve this and show your work.
Step-by-step explanation:
5/6 was 0.833333333333333
(10 POINTS) answer ASAP if you can
Answer:
C
Step-by-step explanation:
A P E X
What's greater? 18% or 11/55?
Answer:
11/55
Step-by-step explanation:
11/55 = 20%
18% = 18%
Answer:
11/55 is greater
Step-by-step explanation:
18% is less because divided by 100 it will be 0.18 and if you multiply 11/55 the answer is 0.20