Answer: 15
Step-by-step explanation: Using the pythagorean theorem A^2 + B^2 = C^2 where C is the hypotenuse of the triangle and any A and B are any sides of the triangle that are not the hypotenuse; we can rewrite this as A^2 = C^2 - B^2 to find out the missing side. I picked A to be the unknown side but you could also choose B. We know the hypotenuse is 39, and side B is 36. 39^2 - 36^2, or 1521 - 1296, is 225.
Now we have A^2 = 225. To get rid of the square, we have to take the square root of both sides. The A^2 cancels to be A, and sqrt(225) is 15. Thus, side A, or the missing side is 15.
Hope this helped!
WILL GIVE BRAINLIEST
3. Add or subtract the following terms:
a. (10x) + (22x) =
b. (-6x) - (-6x) =
c. (-13t) + (14x) - (+13t) =
d. (-4t) + (+4t) - (-3t) =
The simplified forms of the given expressions are
a. 32x
b. 0
c. -26t + 14x
d. 3t
Simplifying an expressionFrom the question, we are to simplify the given expressions by adding or subtracting
a. (10x) + (22x)
= 32x
b. (-6x) - (-6x)
= -6x + 6x
= 0
c. (-13t) + (14x) - (+13t)
= -13t + 14x - 13t
Collect like terms
= -13t -13t + 14x
= -26t + 14x
d. (-4t) + (+4t) - (-3t)
= -4t + 4t + 3t
= 3t
Hence, the simplified forms of the given expressions are
a. 32x
b. 0
c. -26t + 14x
d. 3t
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30% of 70 is what percent of 2000?
Answer:
1.05
Step-by-step explanation:
Because 30% of 70 is [tex]30\% \times 70 = \frac{30}{100} \times 70 = 0.3 \times 70 = 21[/tex], so the question becomes "21 is what percent of 2000?"
To answer this, we can solve for [tex]x[/tex] in the equation [tex]21 = x\% \times 2000[/tex], which is:
[tex]21 = x\% \times 2000\\21 = \frac{x}{100} \times 2000\\21 = 20x\\x=\frac{21}{20}=1.05[/tex]
So the answer is 1.05 percent.
Show Work Please Thank You
Answer:
[tex]\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}[/tex]
Step-by-step explanation:
We are given the trigonometric equation of:
[tex]\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}[/tex]
Let u = 4x then:
[tex]\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}[/tex]
Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).
[tex]\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}[/tex]
Convert u-term back to 4x:
[tex]\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}[/tex]
Divide both sides by 4:
[tex]\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}[/tex]
The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.
Therefore:
[tex]\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}[/tex]
i need help please!!
Answer:[tex]DB \cong VT[/tex]
Step-by-step explanation:
All 3 sides need to be congruent.
solve this question asap
Answer:
f^-1(x)=x-14
Step-by-step explanation:
change f(x) to y :y=x×14
interchange variables :x=y+14
move constant(14) to the left :x-14=f^-1(x)
after henry gave away 2/3 of his stamps and ken gave away 3/4 of his the two boys had an equal number of the stamps left. they had 1156 stamps at first how many stamps did they have left altogather
Answer:
See below.
If the correct sum is 1155, then Ken had 495 stamps, and Henry had 660 stamps.
Step-by-step explanation:
Henry had h stamps.
Ken had k stamps.
After giving away 2/3 of his stamps, Henry ended up with 1/3 of his stamps, or h/3.
After giving away 3/4 of his stamps, ken ended up with 1/4 of his stamps, or k/4.
h/3 = k/4
h + k = 1156
4h = 3k
h = 1156 - k
4(1156 - k) = 3k
4624 - 4k = 3k
4624 = 7k
k = 4624/7
Stamps left: 0.25 × 4624/7 = 1156/7
h = 1156 - k
h = 1156 - 4624/7
h = 8092/7 - 4624/7
h = 3468/7 =495.43
Stamps left: 1/3 × 3468/7 = 1156/7
Total number of stamps left: 1156/7 + 1156/7 = 2312/7 = 330.29
The problem is solved correctly, but the numbers given must be incorrect since you cannot have a fraction of a stamp.
A manufacturer has a steady annual demand for 22,638 cases of sugar. It costs $7 to store 1 case for 1 year, $33 in set up cost to produce each batch, and $15 to produce each case. Find the number of cases per batch that should be produced to minimize cost
The number of cases per batch that the manufacturer should produce to minimize cost is 462 cases per batch.
How can inventory costs be minimized?To minimize inventory costs, especially setup and holding costs, the economic order quantity (EOQ) technique is deployed.
The EOQ model refers to the ideal order or batch quantity a company should purchase per order or produce per batch to minimize its inventory costs.
Some of a company's inventory costs include holding costs, shortage costs, setup, and ordering costs.
Using the EOQ model shows the ideal minimum units that the manufacturer should produce per batch to minimize costs.
The EOQ formula is square root of: [2(setup costs)(demand rate)] / holding costs.
Data and Calculations:Annual demand = 22,638 cases
Storage cost per case = $7
Setup cost per batch = $33
Product unit cost = $15 per case
EOQ = square root of: [2(setup costs)(demand rate)] / holding costs.
= square root of 2 x $33 x 22,638/$7
= square root of 213,444
= 462
Number of batches = 49 (22,638/462)
Thus, the number of cases per batch that the manufacturer should produce to minimize cost is 462 cases per batch.
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if two vertical angles are 2x-10 and x+20 find the value of x
Answer:
x=70
Step-by-step explanation:
when added together, verticle angles equal 180 degrees.
2x-10+x+20=180
3x-10+20=180
3x-30=180
3x=210
x=70
Alice placed $1,900 in a savings account which earns 2.2% interest, compounded every year. How much will she have in the account after 5 years.
She will have $2118 in her account after five years
How to determine the amount in five years?The given parameters about the compound interest are
Principal Amount, P = $1,900
Interest Rate, R = 2.2%
Time, t = 5
Compound interests are different from simple interest, and they are calculated using the following compound interest formula
CI = P(1 + R)^t - P
To calculate the amount, we have:
A = P + CI
So, the equation becomes
A = P + P(1 + R)^t - P
Evaluate the like terms
A = P(1 + R)^t
Substitute the known values in the above equation
A = 1900 * (1 + 2.2%)^5
Express 2.2% as decimal
A = 1900 * (1 + 0.022)^5
Evaluate the sum
A = 1900 * (1.022)^5
Evaluate the exponent
A = 1900 * 1.11495
Evaluate the product
A = 2118
Hence, she will have $2118 in her account after five years
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Sampson has been given the following budget guidelines. If his department’s budget is $50,000, how much can he spend in each budget category? Be sure to list dollars and cents (round to the nearest hundredth).
The amount he can spend on marketing is $8,333.33.
The amount he can spend on supplies is $16,666.67
The amount he can spend on trainings is $12,500
The amount he can spend on travel is $2,500
The amount he can spend on equipment is $10,000
How much can he spend on each category?The amount he can spend on each category can be determined by multiplying the fraction of that category by the total department's budget.
The amount he can spend on marketing : 1/6 x $50,000 = $8,333.33.
The amount he can spend on supplies: 1/3 x $50,000 = $16,666.67
The amount he can spend on trainings: 1/4 x 50,000 = $12,500
The amount he can spend on travel $2: 1/20 x 50,000 = 2,500
The amount he can spend on equipment $: 1/5 x 50,000 = 10,000
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find dy/dx when y =
[tex] \sqrt{(1 + cosx)/( 1 - cosx)} [/tex]
Answer:
cos(x)
Step-by-step explanation:
(1 + cos(x))(1 - cos(x)) = 1 - cos²(x) = sin²(x)
sqrt(sin²(x)) = sin(x)
sin'(x) = cos(x)
Solve for the following equation
9/4x + 1/3 = 5/2x
Answer:
3/4
Step-by-step explanation:
plug values in for x till you get it right
Find the slope of the line passing through the points (-4,-4) and (2, 5).
Answer:
the slope of the line passing through the points (-4,-4) and (2, 5) m=3/2.
Step-by-step explanation:
Hello!
To find the slope between two points use the formula
m=(y₂-y₁)/(x₂-x₁)... substitute valuesm=(5-(-4))/(2-(-4))m=9/6m=3/2The length of line segment AG is 17 m and the line segment AD is 25 m. What is the length of line segment GD?
Answer:
AG = 17 m
AD = 25 m
GD = ?
AD = AG + GD
GD = AD - AG
= 25 - 17
= 8 m
the answer to your question is 8m
6) Evaluate 3/4x if X = -1/4
Answer: [tex]-\frac{3}{16}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}(-\frac{1}{4} )[/tex]
multiply the numberator and denominator:
3*-1 = -3
and
4*4 = 16 so,
[tex]-\frac{3}{16}[/tex] is the answer
Answer: [tex]\Large\boxed{-\frac{3}{16} }[/tex]
Step-by-step explanation:
Given information
x = - 1/4
Given expression
[tex]\dfrac{3}{4} ~x[/tex]
Substitute values into the expression
[tex]=\dfrac{3}{4} \times(-\dfrac{1}{4} )[/tex]
[tex]=\dfrac{3\times1}{4\times4}[/tex]
[tex]\Large\boxed{=-\frac{3}{16} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
To maintain essential electricity, a gasoline generator at a Puerto Rico hospital uses 3 gallons of gasoline per hour. a) How many gallons of gas are needed to fuel the generator for 1 full day? 72 2 points b) How much co2 will be produced by running the generator for 1 full day? 2 points
The mass of the CO2 produced IS 630 Kg
What is gasoline?Gasoline is a kind of fuel that is composed mostly of isooctane. In most engines, gasoline is widely used hence the demand for the product is high. We know that the combustion of an alkane (of which gasoline is one) would produce carbon dioxide and water according to a balanced reaction equation.
The balanced reaction equation for the combustion of gasoline is shown in the image attached to this answer.
Since a Puerto Rico hospital uses 3 gallons of gasoline per hour, and there are 24 hours in a day, it the follows that 72 gallons of gasoline are used per day. This 72 gallons is the equivalent of 272.88 L
Now;
Given that the density of gasoline = 748.9 g/L
Mass of gasoline = 748.9 g/L * 272.88 L = 204 Kg
Number of moles of gasoline = 204 * 10^3/114 g/mol = 1789.5 moles
If 2 moles of gasoline produces 16 moles of CO2
1789.5 moles produces 1789.5 moles * 16 moles/2 moles = 14316 moles
Mass of CO2 = 14316 moles * 44 g/mol = 630 Kg
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1 Which is the greatest 4- digit number divisible by 6?......
As fast as when u are running to save ur mom life
Answer:
The greatest four-digit number that is divisible by 6 is 9996
Step-by-step explanation:
9,996 / 6 = 1,666
ASAP help me with this PLEASE
Answer:
16
Step-by-step explanation:
By the trapezoid midsegment theorem,
[tex]\frac{ST+6}{2}=11 \\ \\ ST+6=22 \\ \\ ST=16[/tex]
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
ST = 16 units[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
We can use Trapezoid midsegment property:
[tex] \qquad❖ \: \sf \: \dfrac{ST + QR}{2} = LM[/tex]
[tex] \qquad❖ \: \sf \: \dfrac{ST + 6}{2} = 11[/tex]
[tex] \qquad❖ \: \sf \: {ST + 6} =2 \times 11[/tex]
[tex] \qquad❖ \: \sf \: {ST + 6} =22[/tex]
[tex] \qquad❖ \: \sf \: {ST } =22 - 6[/tex]
[tex] \qquad❖ \: \sf \: {ST } =16[/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
Length of segment 16ASAP PLEASE HELPPP PLEASE
Answer:
6
Step-by-step explanation:
[tex]\frac{DC}{4}=\frac{12}{8} \\ \\ DC=6[/tex]
which line segment has the same measure as TQ
The line segment that has the same measure as TQ is TR
How to determine the line segment that has the same measure as TQ?The figure that completes the question is added as an attachment
From the figure, we have the following properties:
Lines TQ and TR are congruentLines QS and RS are congruentThe above implies that the line segment that has the same measure as TQ is TR
Hence, the line segment that has the same measure as TQ is TR
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Answer:
It's TR
Step-by-step explanation:
did it on edgenuidy
As a cold front approaches the weather forecast over the next 5 days calls for the following temperatures In degrees Fahrenheit 12,5,18,8,2 which graph below represents the temperature over this 5 day period
The graph showing the temperature over the 5-day period will look exactly like the attached. On the y-axis, we have the Temperature and the x-axis the number of days.
What is the value of a Graph forecast?Graphs and charts are useful visual aids because they make information accessible and easy to understand.
Therefore, it is not unexpected that print and electronic media frequently employ graphs.
When data is displayed as a graph rather than a table, it can often be easier to understand since the graph might show a pattern or comparison.
What is the interpretation of the graph?The graph shows the forecasted data against the actual data. It is to be noted that the data for the actual 5-day temperatures are made-up to help the analyst understand the differences between the forecasted and the actual data.
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PLEASE EXPLAIN!!
The ratio of my sister's age to my age is 10: 9.
The ratio of my brother's age to my age is 29 : 27.
I am over 40 years old but under 70 years old.
What is my age?
Sis : you : bro
10 : 9 : ?
? ? : 27 : 29
We can get the 9 at the top to 27, by multiplying the whole row by 3 to get:
30 : 27 :?
? : 27 : 29
Your age matches (in the ratios or relation to your sis & bro) now 27 yrs in both ratio. Creating a single ratio, whereby multiplying the top row by 3 to get you to 27 & bottom row by 1 to get you to 27. Knowing when you're 27 in both cases, you know how old your sis & bro is
So, replace the ? with the number above or below it, creating a single ratio, where you are in common with both, by being 27 in both cases.
The ratio of sis : you : bro is now -
The ratio of sis : you : bro is now - 30: 27 : 29
To find what your age is we need to increase the ratio in the same amount to find your maximum age under 70.
So, if we were to double your age to 54, by multiplying your previous age of 27 by 2. We've got to do the same for your sis & bro too, they're aging with you.
We get :
We get :60 : 54 : 58
(30 x 2) : (27 x2) : (29 x2)
Keep increasing the ratio, to the point you're not above 70 years. Now, I'll multiply all ages by 3.
30: 27 : 29
(30 x 3) : ( 27 x 3) : (29 x 3)
We get:
We get:90 : 81 : 87
Right now, you're above the age of 70.
Thus, your maximum age must be 54, where you're under 70 years, but over 40 years.
Answer : 54 years
Hope this helps!
finish this whole thing and ill give you five stars thanks and brainliest
Which statement is true?
The value of 8,590 − 4,586 is half the value of 2 x (8,590 − 4,586).
The value of 2,674 x 5,480 + 5 is 5 times the value of 2,674 + 5,480.
The value of 6,432 x (1,860 − 6) is 6 less than the value of 6,432 x 1,860.
The value of 2,876 x (9,280 + 8) is 8 more than the value of 2,876 x 9,280.
The value of 8,590 − 4,586 is half the value of 2 x (8,590 − 4,586).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. The basic operations performed on an equation are addition, subtraction, multiplication and division.
The value of 8,590 − 4,586 = 4004
Half the value of 2 x (8,590 − 4,586) = (1/2) of 2 x (8,590 − 4,586) = 4004
The value of 8,590 − 4,586 is half the value of 2 x (8,590 − 4,586).
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8. The probability that Ava gets promoted is 7/10. Find the odds in favor of Ava getting promoted.
I really need your help ASAP!
Answer:
Option 4
Step-by-step explanation:
See the attached image.
Find the nth term of the arithmetic sequence -1, 2, 5,.. ..
Answer:
8
Step-by-step explanation:
i think it's 8 but I'm not sure i will check it for you
urgently needing help
Answer:
the answer is 86,016
Step-by-step explanation:
i took the test
Answer:
The answer is 4.
Step-by-step explanation:
8(-1)^4 - 3(-1) - 7
8 + 3 - 7
11 - 7
4
Form a polynomial
Degree: 4
Zeros: -1, 2, & 1-2i
Answer:
(x+1)(x-2)(x-1)(x-1+2¡) multiply all together
Step-by-step explanation:
(x+1)(x-2)(x-1)(x-1+2¡)
multiply all together u have your answer
A pitaya, or dragon fruit, is a tropical fruit with pink skin and pulp filled with tiny black
seeds. The weight of a pitaya seed is 1 x 107 ounce. What is the weight of the pitaya
seed in standard form?
Type the number in the box.
oz
The standard form the weight of a pitaya seed is 1 x 10⁷ ounces.
What is a standard form?Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form. If you look closely, you will see that 1.23 is a decimal between 1.0 and 10.0, and as a result, we have the standard form of 123,000,000 as 1.23 x 10⁸.
Given that a pitaya, or dragon fruit, is a tropical fruit with pink skin and pulp filled with tiny black seeds. The weight of a pitaya seed is 1 x 10⁷ ounces.
The standard form can be written as:-
Weight = 10000000 ounces
Weight = 1 x 10⁷ ounces.
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The total mass of Faizal, John and Raju is 154.2 kg. John is 10.48 kg
heavier than Raju and 9.23 kg heavier than Faizal. Find Raju's mass.
Answer:
R = 47.49 kg
Step-by-step explanation:
To find answer, I will put things in terms of Raju's mass
J = R + 10.48
J - 9.23 = F or R + 10.48 - 9.23 = F
F + J + R = 154.2
(R + 10.48- 9.23) + (R+10.48 ) + R = 154.2
3R = 142.47
R=47.49 kg