Answer: A. 871.97 feet
Here given:
angle: 33°hypotenuse: 1601opposite: height above groundUsing Sine Rule:
\(\sf sin(x) = \dfrac{opposite}{hypotenuse}\)
\(\rightarrow \sf sin(33) = \dfrac{height}{1601}\)
\(\rightarrow \sf height = 1601sin(33)\)
\(\rightarrow \sf height = 871.97 \ feet\)
Let's check
Hypotenuse=Diagonal=H=1601mAngle=33°Now
cos33=Base/Hypotenusecos33=Base/1601Base=1601cos33Base=1342.7ftApply Pythagorean theorem
P²=1601²-1342.7²On solving we will get
P=871.97ftFor spare way of solving this same question visit my answer here
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Please help me.......
Answer:
Answer: The perimeter of the large rectangle measured 75 feet.
Step-by-step explanation:
Step-by-step explanation:
For two similar rectangles,
The perimeter of the small rectangle is 50 feet.
Given ratio between two similar rectangles: 3:2
So,
Hence, the perimeter of the large rectangle measured 75 feet.
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Confirmed this is correct!
Express this number in scientific notation 0.0008235
Given the equation p=s(1)t-s(2)t which equation is solved for t
Answer: C. t = p / s1-s2
Step-by-step explanation:
Inverse of f(x)=(x-3)/(x+2)
Answer:
\(f^{-1}(x)=\dfrac{2x+3}{1-x}\)
Step-by-step explanation:
Find the inverse of the given function, f(x).
\(f(x)=\frac{x-3}{x+2}\)
(1) - Switch x and f(x)
\(f(x)=\frac{x-3}{x+2}\\\\\Longrightarrow x=\frac{f(x)-3}{f(x)+2}\)
(2) - Solve for f(x) using algebraic techniques
\(x=\frac{f(x)-3}{f(x)+2}\\ \\\\\Longrightarrow (f(x)+2)x=f(x)-3\\ \\\\\Longrightarrow xf(x)+2x=f(x)-3\\ \\\\\Longrightarrow 2x=f(x)-3-xf(x)\\ \\ \\\Longrightarrow 2x+3=f(x)-xf(x) \\\\\\\Longrightarrow 2x+3=f(x)(1-x)\\ \\\\\therefore f(x)=\dfrac{2x+3}{1-x}\)
(3) - Replace f(x) with f^-1(x)
\(f(x)=\dfrac{2x+3}{1-x} \\\\\Longrightarrow \boxed{\boxed{f^{-1}(x)=\dfrac{2x+3}{1-x} }}\)
Therefore, the inverse is found.
Help pless aaaaaaaaaaaaaaaaaaaaaaaaqaaaaaaaaaaaa
Answer:pretty sure it’s D or the bottom choice
Step-by-step explanation:
D. D because it doesn't have repeating numbers. The coordinates aren't the same, they differ(mark brainliest if u want to ty)
Find the area of the regular polygon.
9514 1404 393
Answer:
522 in²
Step-by-step explanation:
The area of a regular polygon is given by the formula ...
A = 1/2Pa
where P is the perimeter and 'a' is the apothem. Using the given values, we find the area to be ...
A = 1/2(5·17.4 in)(12 in) = 522 in²
PLEASE HELP ASAP
The diagrams show a polygon and the image of the polygon after a transformation.
Use the diagrams to determine which statements are true. Select all statements that are true.
The correct statements regarding the transformations are given as follows:
Parallel lines will always be parallel after a reflection.Lines that are not parallel will never be parallel after a translation.What are transformations on the graph of a function?Examples of transformations are given as follows:
A translation is defined as lateral or vertical movements.A reflection is either over one of the axis on the graph or over a line.A rotation is over a degree measure, either clockwise or counterclockwise.For a dilation, the coordinates of the vertices of the original figure are multiplied by the scale factor, which can either enlarge or reduce the figure.Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.
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Use unit rates to determine the better buy and provide the unit price for your answer. Round youranswer to the nearest hundredth, if necessary.$3.15 for 300 index cards$1.35 for 50 index cardsA) $3.15 for 300 index cards $ _________ per index cardB) $1.35 for 50 index cards $ _________ per index cardThe better buy is:
Given
$3.15 for 300 index cards,
$1.35 for 50 index cards.
To find the unit rate of each index card and to determine the better buy.
Now,
A) It is given that,
The cost of 300 index cards is $3.15.
Therefore, the cost of 1 index card is,
\(\begin{gathered} \text{Cost of 1 index card}=\frac{3.15}{300} \\ =0.0105 \\ =0.01 \end{gathered}\)Hence, the cost of 1 index card is $0.01.
B) It is given that,
The cost of 50 index card is $1.35.
Therefore, the cost of 1 index card is,
\(\begin{gathered} \text{Cost of 1 index card}=\frac{1.35}{50} \\ =0.027 \\ =0.03 \end{gathered}\)Hence, the cost of 1 index card is $0.03.
Since 0.01<0.03.
Then, $3.15 for 300 index cards is the better buy.
Suppose you deposit $1000 in an account paying 4% annual interest, compounded continuously. Find the balance after 10 years.
Answer:
400
Step-by-step explanation:
To find 4% of $1000 you have to multiply them and then divide them by 100.
4 x 1000/100
4,000/100 = 40
Every year, you would get 40 dollars, so for 10 years you multiply 10 x 40.
10 x 40 = 400
The balance after 10 years with an interest rate of 4% and the initial amount of $1000 will be 1480.24
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
You deposit $1000 in an account paying 4% annual interest, compounded continuously.
Then the balance after 10 years will be
A = 1000(1 + 0.04)¹⁰
A = $ 1480.24
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About 4.1 x 10^7 people live in California. About 6.3 x 10^5 people live in Vermont. About how many more people live in California than in Vermont?
A) 6.5 x 10^6
B) 6.5 x 10^7
C) 4.037 X 10^7
D) 4.037 x 10^5
Answer:
The answer is option C) 4.037 x 10^7.
Step-by-step explanation:
To find out how many more people live in California than in Vermont, we need to subtract the population of Vermont from the population of California.
The population of California is 4.1 x 10^7.
The population of Vermont is 6.3 x 10^5.
Therefore, the difference in population between California and Vermont is:
4.1 x 10^7 - 6.3 x 10^5
= 4.037 x 10^7
So, about 4.037 x 10^7 more people live in California than in Vermont.
The answer is option C) 4.037 x 10^7.
Bennett Griffin and Chula Garza organized Cole Valley Book Store as a corporation; each contributed $71,500 cash to start the business and received 5,600 shares of common stock. The store completed its first year of operations on December 31, current year. On that date, the following financial items for the year were determined: December 31, current year, cash on hand and in the bank, $69,250; December 31, current year, amounts due from customers from sales of books, $43,500; unused portion of store and office equipment, $72,500; December 31, current year, amounts owed to publishers for books purchased, $12,400; one-year note payable to a local bank for $3,200. No dividends were declared or paid to the stockholders during the year.
Required:
Complete the following balance sheet as of the end of the current year. Some information has been given below.
What was the amount of net income for the year? (Hint: Use the retained earnings equation [Beginning Retained Earnings + Net Income − Dividends = Ending Retained Earnings] to solve for net income.)
he net income for the year is $16,550.
Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)
Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500
Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800
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Find u+v-4u.
u=(5,-2) and v= (-5,7)
By placing the given value in equation , we get u + v - 4u = (-20, 13)
How to evaluate vector?A physical quantity that has both directions and magnitude is referred to as a vector quantity.
A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.
To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:
4u = 4(5,-2) = (20,-8)
Now, we can add u and v, and subtract 4u from the result:
u + v - 4u = (5,-2) + (-5,7) - (20,-8)
= (5 - 5 - 20, -2 + 7 + 8)
= (-20, 13)
Therefore, u + v - 4u = (-20, 13).
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PLEASE ANSWERING THIS QUESTION!!!
The volume of a cone with height h and a radius r can be found using the formula \(\sf{V=\dfrac{1}{3}\pi r^2h\)
Find the volume of a cone with radius 5 feet and height 4 feet.
(Blank) ft^3
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
Answer:
104.8cm³(1 decimal place)
Step-by-step explanation:
Volume of a cone is given by the formula
V=1/3πr²h
we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7
V=1/3× 22/7×5²×4
V=1/3 × 22/7 ×25 ×4
V=2200/21
V=104.76190476
V=104.8cm³(1decimal place)
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Which value of c is in the domain of f(x)
The value of c in the domain of f(x) depends on the specific function f(x) and its domain.
In order to determine which value of c is in the domain of f(x), we need to know the function f(x) and its domain. A domain is the set of all possible input values of a function.
If a value of c is in the domain of f(x), then we can plug it into the function and get a valid output.
In general, a function f(x) can have a restricted domain due to certain conditions or limitations. For example, a square root function cannot have negative values under the radical because that would result in an imaginary number.
Thus, the domain of a square root function is restricted to non-negative values.
In order to find the domain of a function, we need to consider any restrictions on the input values. For example, if we have the function f(x) = 1/x, we cannot plug in x = 0 because that would result in division by zero, which is undefined.
Therefore, the domain of f(x) is all real numbers except 0. We can write this as D(f) = {x : x ≠ 0}.Once we know the domain of f(x), we can check which value of c is in the domain by seeing if it satisfies the condition.
For example, if the domain of f(x) is D(f) = {x : x > 2}, then c = 3 is in the domain because 3 is greater than 2. On the other hand, c = 1 is not in the domain because 1 is less than 2.
Therefore, the value of c in the domain of f(x) depends on the specific function f(x) and its domain.
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A corporation donates a valuable painting from its private collection to an art museum. Which of the following are incremental cash flows associated with the donation?
Incremental cash flows associated with the donation of a valuable painting from a corporation's private collection may include It's important to note that any direct costs associated with the donation.
Tax benefits: The corporation may be eligible for tax deductions or credits for charitable donations, which could result in a reduction in its tax liability and generate cash flow savings.
Opportunity cost: If the corporation could have sold the painting instead of donating it, the incremental cash flow would be the potential proceeds from the sale.
Storage and maintenance cost savings: By donating the painting to the art museum, the corporation no longer has to incur expenses for storing, insuring, and maintaining the artwork, resulting in cost savings.
Public relations and marketing benefits: Donating the painting can enhance the corporation's reputation and generate positive publicity, potentially leading to increased customer goodwill and brand value, which can translate into future cash flows.
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IS THERE ANOTHER WEBSITE JUST LIKE BRAINLY
Answer:
seriously, what's it called?
1 a tobacco company produces blends of tobacco, with each blend containing various proportions of turkish, domestic, and other tobaccos. the proportions of turkish and domestic in a blend are random variables with joint density function (x
(a) 0.5, (b) f_Y(y) = 12y(1-y), (c) 9/128, (d) 7/36 - Probability calculations using joint density function.
(a) To find the Probability that the Turkish tobacco represents over a portion of the mix, we want to incorporate the joint thickness capability over the district where x > 0.5 and y < 1 - x. This gives:
P(X > 0.5) = ∫[0.5,1]∫[0,1-x] 24xy dy dx = 0.5
Consequently, the Probability that the Turkish tobacco represents over around 50% of the mix is 0.5.
(b) To find the negligible thickness capability for the extent of homegrown tobacco, we really want to incorporate the joint thickness capability over all potential upsides of Turkish tobacco:
f_Y(y) = ∫[0,1-y] 24xy dx = 12y(1-y) ; 0 < y < 1
Thusly, the peripheral thickness capability for the extent of homegrown tobacco is f_Y(y) = 12y(1-y).
(c) To find the Probability that the extent of Turkish tobacco is under 1/8 given that the mix contains 3/4 homegrown tobacco, we really want to utilize Bayes' standard:
P(X < 1/8 | Y = 3/4) = P(X < 1/8 ∩ Y = 3/4)/P(Y = 3/4)
We can find the numerator by coordinating the joint thickness capability over the district where x < 1/8 and y = 3/4:
∫[0,1/8] 24xy dx = 27/128
To find the denominator, we coordinate the joint thickness capability over all potential upsides of Turkish tobacco when y = 3/4:
∫[0,1/4] 24xy dx = 3
Thusly, the contingent Probability is:
P(X < 1/8 | Y = 3/4) = (27/128)/3 = 9/128
(d) To find the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco, we want to incorporate the joint thickness capability over the area where y > 2x and x + y < 1. This gives:
P(Y > 2X) = ∫[0,1/3]∫[2x,1-x] 24xy dy dx + ∫[1/3,1/2]∫[2x,1-x] 24xy dy dx
= 7/36
Accordingly, the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco is 7/36
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The complete question is:
A tobacco company produces blends of tobacco, with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic) 24xy ;0< x, y < 1, x +y<1 fx.y(1,7) (2) ; otherwise (a) (1 point) Find the probability that in a given box the Turkish tobacco accounts for over half the blend. Page 2 (b) (1 point) Find the marginal density function for the proportion of the domestic tobacco. (c) (1 point) Find the probability that the proportion of Turkish tobacco is less than 1/8 if it is known that the blend contains 3/4 domestic tobacco. (d) (2 points) Find the probability that the proportion of domestic tobacco is more than twice the proportion of the Turkish tobacco.
Can you guys help me solve this problem
Answer:
528
Step-by-step explanation:
PLEASE HELP!!!
Jorge has $54.90 and he wants to buy a video game.
What is the price of a video game that costs $66.75 but has a 25% off sale to it.
Does Jorge have enough money to buy the game? If so, how much money does he have left?
Also, please do step by step explanation because it is asking me to show work
PLEASE HURRY!!!!!
Answer:
50.06
Step-by-step explanation:
he does have enough money!!!
Answer:
Yes, Jorge has $4.84 left.
Step-by-step explanation:
The video game is $66.75 and 25% off
66.75 - 16.6875 =
Video game cost $50.06
After buying the video game Jorge has $4.84 left
54.90 - 50.06 = 4.84
there are 21 threatened species of reptiles in the united States. how many ways you can choose 2 write about (order is not important)
I did not get your question
Select the correct answer.
Assuming no denominator equals zero, which expression is equivalent to the given expression? 1/ a^2 - 2a - 8 / a - 5 / a - 4
The expression that is equivalent to \(1/ a^2 - 2a - 8 / a - 5 / a - 4\) is:
\((-a^2 + 3a + 3) / [(a - 4)(a + 2)]\)
The given expression is:
\(1 / (a^2 - 2a - 8) - (a - 5) / (a - 4)\)
We can factor the denominator of the first fraction as \((a - 4)(a + 2)\):
\(1 / [(a - 4)(a + 2)] - (a - 5) / (a - 4)\)
To simplify this expression, we need to find a common denominator for the two fractions in the numerator.
The common denominator is\((a - 4)(a + 2):\) so we can rewrite the expression as:
\([a - 5 - (a^2 - 2a - 8)] / [(a - 4)(a + 2)]\)
Now we can simplify by multiplying the first fraction by the reciprocal of the second fraction, and then multiplying the result by the reciprocal of the third fraction:
\([a - 5 - a^2 + 2a + 8] / [(a - 4)(a + 2)]\)
Combining like terms:
\([-a^2 + 3a + 3] / [(a - 4)(a + 2)]\)
Therefore, the expression that is equivalent to \(1/ a^2 - 2a - 8 / a - 5 / a - 4\) is:
\((-a^2 + 3a + 3) / [(a - 4)(a + 2)]\)
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Write an equation of a line that would be perpendicular to 2x-5y=10
We want to write the equation of a line that is perpendicular to:
\(2x-5y=10\)We remember that two perpendicular lines have opposite inverse slopes. This means that when we multiply the slopes of the two lines, we obtain -1. Thus, we will find the slope of the equation given by solving for y:
\(\begin{gathered} 2x-5y-2x=10-2x \\ 0-5y=10-2x \\ -5y=10-2x \\ y=\frac{10-2x}{-5} \\ y=-2+\frac{2}{5}x \end{gathered}\)This means that the slope of the line given is 2/5. For finding a opposite inverse number to the one given, we interchange the numerator and the denominator, and we change its sign:
Thus, the slope of the perpendicular line should be:
\(-\frac{5}{2}\)And we can choose its y-intercept. On this case, we will choose the y-intercept to be 0, and we get that an equation of a line that is perpendicular to 2x-5y=10 is:
\(\begin{gathered} y=-\frac{5}{2}x \\ \text{ Or, equivalently:} \\ 5x+2y=0 \end{gathered}\)2.2x+4.4 factored is
Answer:
2.2(x+2)
Step-by-step explanation:Both terms have a 2.2. Factor that out.
A car covers a distance of 189km in 4.5 hours, what is the average speed
Step-by-step explanation:
The average speed is 42 km/hr.
To calculate the average speed, you divide the total distance by the time it took to travel that distance:
189 km / 4.5 hours = 42 km/hr
\(\texttt{speed}=\dfrac{d}{t}\)
distance = 189 km
time = 4.5 hours
\(\texttt{speed}=\dfrac{189}{4.5}\)
\(\fbox{speed = 42 km/hr}\)
Determine whether each percent of change is a percent of increase or a percent of decrease. Then find the percent of change
Answer:
12 percent for 1B
26.2 percent for 1D
Step-by-step explanation:
Consider parallelogram QRST below. Use the information given in the figure to find m
The missing values are
<UTQ = 41 degree
x= 1
<UQT = 47 degree
We have a parallelogram QRST.
We know that the opposite sides of the parallelogram is equal and parallel then
QR || ST
QT || SR
Then, <SRT = <RTQ (<UTQ) (alternate Interior Angle)
<UTQ = 41
Similarly, <UQT = <SRQ = 47
Now, RU = UT
2x + 1= 3
2x = 2
x= 1
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select the number and the name of the degree below (select2):3
the image is downloading now
3) A Jewelry artist charges $7.00 for each pair of earrings she sells. in 3 hours, she sells 15 pairs of
earrings. At that rate, how much money could she earn from selling earrings for 5 hours?
Answer: $175
Step-by-step explanation:
$7.00 x 15 = $105.00
$105.00 / 3 hours = $35/hr.
$35 x 5 = $175
To make fruit punch, Amar mixes 1 scoop of fruity powder with 5 cups of water. Which recipe ratio will NOT taste the same as Amar's? *
Mark only one oval.
2 scoops of fruity powder : 6 cups of water
2 scoops of fruity powder : 10 cups of water
0.5 scoop of fruity powder : 2.5 cups of water
5 scoops of fruity powder : 25 cups of water
Answer:
A
Step-by-step explanation:
The ratio is 1:5 so you're looking for the one that is not 1:5. A is 1:3
a would be the awnser because amars ratio is 1 scoop to 5 cups of water and a is 1 scoop equals 3 cups
Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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