We know that the wind is blowing from north to south with a speed of 32 km per hour, let's call the wind vector W, then it can be written as
\(\vec{W}=-32\hat{j}\)We also know that Diane wants the plane to fly north of east at an angle of 25° and a speed of 140 km/h. This means that the resultant should be
\(\vec{R}=140\cos 24\hat{i}+140\sin 24\hat{j}\)Now, we would like to know at what angle Diane should fly tha plane. To find this we will introduce a vector T whose magnitud and direction are unknown.
Then
\(\vec{T}=T\cos \theta\hat{i}+T\sin \hat{j}\)Now, we know that the resultant is
\(\vec{R}=\vec{T}+\vec{W}\)then
\(\begin{gathered} 140\cos 25\hat{i}+140\sin 25\hat{j}=T\cos \theta\hat{i}+T\sin \theta\hat{j}+(-32\hat{j}) \\ 140\cos 25\hat{i}+140\sin 25\hat{j}=T\cos \theta\hat{i}+(T\sin \theta-32)\hat{j} \end{gathered}\)Since the unit vector i and j are independent this gives us two equations
\(\begin{gathered} 140\cos 25=T\cos \theta \\ 140\sin 25=T\sin \theta-32 \end{gathered}\)From the first equation we have that
\(T=\frac{140\cos 25}{\cos \theta}\)Plugging the value of T in the second equation we have
\(140\sin 25=(\frac{140\cos25}{\cos\theta})\sin \theta-32\)Now we need to solve this equation for theta.
\(\begin{gathered} 140\sin 25=(\frac{140\cos25}{\cos\theta})\sin \theta-32 \\ 140\sin 25+32=(140\cos 25)\frac{\sin \theta}{\cos \theta} \\ \frac{\sin\theta}{\cos\theta}=\frac{140\sin 25+32}{140\cos 25} \end{gathered}\)Now we have to remember that
\(\frac{\sin\theta}{\cos\theta}=\tan \theta\)hence
\(\begin{gathered} \tan \theta=\frac{145\sin 25+32}{145\cos 25} \\ \theta=\tan ^{-1}(\frac{145\sin 25+32}{145\cos 25}) \\ \theta=35.7 \end{gathered}\)Therefore Diane has to direct the airplane at an angle of 35.7° North of east.
If the treasurer buys 9 packages of brownie bites, how many packages of cookies are needed according to this equation?
Answer:
Step-by-step explanation:
24
Solve for the formula for the indicated variable. A= 1/2 bh, for h
The value of the h is A(2) / b when the formula is A = 1/2bh the formula is area of the triangle.
Given that,
We have a formula A = 1/2bh
We have to find h value from the formula.
We know that,
The variable h should be on one side of the equation, and the rest should be on the other. Divide the two sides in half as a good place to start. In this way, we eliminate the undesirable fraction.
A / 1/2 = 1/2bh / 1/2
Now on the right hand side left the 1/2 cancels out.
A / 1/2 = bh
And when a fraction is divided, the result is the same as multiplying it backwards.
A(2/1) = bh
Now, divide both sides by b.
A(2) / b = bh/b
On the left hand side b cancels out and we are left with the final product.
h = A(2) / b
Therefore, The value of the h is A(2) / b when the formula is A = 1/2bh the formula is area of the triangle.
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Triangle PQR has vertex coordinates at P(4, 0), Q(5, 4), R(5, 1). If the triangle is translated so that Q′(0, 4), determine the translation direction and number of units.
5 units down
5 units up
5 units to the right
5 units to the left
The translation direction is 5 units to the left.
To determine the translation direction and number of units, we can compare the original coordinates of point Q (Q(5, 4)) with the new coordinates of Q' after the translation (Q'(0, 4)).
By comparing the x-coordinates, we can see that the x-coordinate of Q' is smaller than the x-coordinate of Q, which means the triangle was translated to the left.
By comparing the y-coordinates, we can see that the y-coordinate of Q' is the same as the y-coordinate of Q, which means there was no vertical translation.
Therefore, the translation direction is 5 units to the left.
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A photographer rented a booth at an art fair for
$630. The photographer sold each photograph
for $45 and made a total of $1,980 after
paying for the booth. How many photographs
did the photographer sell at the fair?
Answer:
58
Step-by-step explanation:
1980+630 then divide by 45
3,11,19 find the 38th term
Answer:
299
Step-by-step explanation:
Each term adds 8 to the previous term
an = a1 + (n-1) * 8
38th = 3 + 37 * 8 = 299
Questions 16. Santhosh and Co. Chennai, opened a branch at Trichy on 1.1.2018. The following Information relate to the branch for the year 2018.
40,000
36,000
9,000
7200
3,600
30,000
16,200
300
3,000
Prepare branch account to find out the profit or loss of branch. Santosh & Co, Chennai opened its branch in Trichy on 1.1.2018. The action for 2018 is as follows
Credit sales at branch
Office expenses by Head office
Cash remittance to branch for petty cash Stock 31.12.2018
Goods sent to Branch
Salaries paid by head office
Debtors 31.12.2018
Petty cash on 31.12.2018
Cash sales at branch
of
The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:
Branch of Santosh & Co. Chennai
Income StatementFor the year ended December 31, 2018
Sales revenue $40,300
Cost of goods sold 4,200
Gross profit $36,100
Expenses:
Office expenses $36,000
Salaries 3,600
Total expenses $39,600
Loss $3,500
What is an income statement?An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.
The profit or loss is the difference between the total revenue and the total expenses for the accounting period.
Credit sales at branch 40,000
Office expenses by Head office 36,000
Cash remittance to branch for petty cash 9,000
Goods sent to Branch 7,200
Salaries paid by head office 3,600
Debtors 31.12.2018 30,000
Petty cash on 31.12.2018 16,200
Cash sales at branch 300
Stock of 31.12.2018 3,000
Sales revenue $40,300 ($40,000 + $300)
Cost of goods sold $4,200 ($7,200 - $3,000)
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Which points on the number line are included in the solution set of this inequality? (GIVING BRAINLIEST
Answer:
The points -3, 5 and 8 are included in the solution set
Step-by-step explanation:
2 ≤ |x-3| ≤ 6
x-3 ≥ 2 or x-3 ≤ -2 --> x ≥ 5 or x ≤ 1
-6 ≤ x-3 ≤ 6 --> -3 ≤ x ≤ 9
-9 and -5 are smaller than -3 so they don't hold for the second inequality. -3 fits in both. but 0 and 2 don't fit in the first one.
then 5 does and 8 is included too.
The points -3, 5 and 8 are included in the solution set
7) You buy a new car for $25,000 and it begins
to depreciate value as soon as you drive it off
the lot. The car depreciates at an annual rate
of 7%. Write an exponential equation that
shows what is happening to the value of the
car over time.
Answer:
y=25,000(0.07)^t
Step-by-step explanation: t= year/month. not specified, but year is most appropriate for these kind of equations.
86n + 13 ≤ 99 or n + 90 ≥ 97
Does anybody know the answer?
Answer:
n ≤ 1 or n ≥ 7
Step-by-step explanation:
solve each part separately
86n + 13 ≤ 99 ( subtract 13 from both sides )
86n ≤ 86 ( divide both sides by 86 )
n ≤ 1
n + 90 ≥ 97 ( subtract 90 from both sides )
n ≥ 7
solution is n ≤ 1 or n ≥ 7
AVENGERS: The Avender movie made $1.6 million in ticket sales. Its sequel made $0.8 million in ticket sales. How much more than the first movie make than the sequel. (a) Write and equation and solve it (b) Write your answer in a complete sentence in context of the problem
Answer:
(a) \(\text{Difference}=\text{First}-\text{Sequel}\)
(b) The amount by which the first movie made more than the sequel is $0.8 million.
Step-by-step explanation:
It is provided that:
The Avengers movie made $1.6 million in ticket sales. The sequel made $0.8 million in ticket sales.(a)
The equation representing the amount by which the first movie made more than the sequel is:
\(\text{Difference}=\text{First}-\text{Sequel}\)
(b)
Compute the difference value as follows:
\(\text{Difference}=\text{First}-\text{Sequel}\\=\$1.6-\$0.8\\=\$0.8\)
Thus, the the amount by which the first movie made more than the sequel is $0.8 million.
5.6.8 let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e). show that this need not be true if f is continuous but not uniformly continuous.
Proof. (1): To prove {f(xn)} is a Cauchy sequence just need to prove ∀ > 0, ∃N, s.t.,∀n, m > N,
have |f(xn) − f(xm)| < . Since f is uniformly continuous on set E, thus ∀ > 0, ∃δ > 0, s.t.,
∀x, y ∈ E, if |x − y| < δ,then |f(x) − f(y)| < .as {xn} is a Cauchy sequence, then ∃N, s.t.,
∀n, m > N, |xn − xm| < δ, thus |f(xn) − f(xm)| < which proves {f(xn)} is a Cauchy sequence.
(2): for example f(x) = 1
x
, x ∈ (0, 2) which is continuous but not uniformly continuous. {
1
n
} is
a Cauchy sequence, however, {f(xn)} does not converge which proves that it is not a Cauchy
sequence.
Showing that this need not be true if f is continuous but not uniformly continuous.
Given :
let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e).
( 1 )
If f is uniformly continuous on E, then given ε > 0 there is δ > 0 such that if x, y are in E and |x−y| < δ,
then |f(x) − f(y)| < ε. Let (xn) be a Cauchy sequence in E. Then given δ > 0 there is N such that if p, q > N,
then |xp − xq| < δ, and thus |f(xp) − f(xq)| < ε, implying that (f(xn)) is a Cauchy sequence.
( 2 )
Let E = {1, 1/2, 1/3, · · } and f(1/n) = 1 is n is odd, f(1/n) = −1 if
n is even. Then f is continuous but not uniformly continuous. The sequence (xn) = (1/n) in E is Cauchy but the
sequence (f(xn)) = (1, −1, 1, −1, · · ·) is not Cauchy.
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Brooklyn is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Brooklyn need to invest, to the nearest ten dollars, for the value of the account to reach $64o in 9 years?
Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.
To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:
A = \(Pe^(^r^t^)\)
where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.
In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:
640 = \(Pe^(^0^.^0^3^5^*^9^)\)
640 = Pe^0.315
P =\(640/e^0^.^3^1^5\)
P = 432.43
Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.
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Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
10 ÷ 8 = 1.25
Use the function f(x) to answer the questions:
F(x)=2x²-x-10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show
work. (3 points)
Part C: What are the steps you would use to graph fx)? Justify that you can use the answers obtained in Part A and Part B to draw the graph (5 point
Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:
2x² - x - 10 = 0
This equation can be factored as:
(2x + 5)(x - 2) = 0
Setting each factor equal to zero, we get:
2x + 5 = 0 => 2x = -5 => x = -5/2
x - 2 = 0 => x = 2
Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.
Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).
In this case, a = 2 and b = -1. Plugging these values into the formula, we have:
x = -(-1) / (2 * 2) = 1/4
To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point
Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).
Part C: To graph f(x), we can follow these steps:
Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.
Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).
Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.
Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.
Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.
The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.
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The x-intercepts from the graph attached are
(-2, 0) (2.5, 0)The vertex from the graph attached is
(0.25, -10.125)How to find the required parametersPart A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:
2x² - x - 10 = 0
x = (-b ± √(b² - 4ac)) / (2a)
a = 2, b = -1, c = -10
Plugging these values into the quadratic formula:
x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)
x = (1 ± √(1 + 80)) / 4
x = (1 ± √81) / 4
x = (1 ± 9) / 4
x₁ = (1 + 9) / 4 = 10 / 4 = 2.5
x₂ = (1 - 9) / 4 = -8 / 4 = -2
Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.
Part B
To find the coordinates of the vertex, we can use the formula:
x = -b / (2a)
x = -(-1) / (2 * 2) = 1 / 4 = 0.25
we substitute this value back into the original function:
f(0.25) = 2(0.25)² - 0.25 - 10
f(0.25) = 0.125 - 0.25 - 10
f(0.25) = -10.125
Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).
Part C: The steps to graph f(x) include:
Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.
Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.
Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.
Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.
By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)
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Evaluate (4.6)² using (a+b)²=a²+b²+2ab
(4.6)²
= (4+ 0.6)²
Using identity–
(4+ 0.6)²
= 4² + 2× 4 ×0.6 +(0.6)²
=16 + 4.8 + 0.36
= 21.16
helo please show work
Answer:
Step-by-step explanation:
Solution:
We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).
The GCF of 305 and 60 is 5.
Divide both terms by 5.
305 ÷ 5 = 61
60 ÷ 5 = 12
Therefore:
305 : 60 = 61 : 12
How many different sums of money can be made from 4coins of different denomination
Answer:
15 different sums----------------------
There are various combinations of coins.
1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins: 1 optionIn total there are:
4 + 6 + 4 + 1 = 15 different sumsWhat is the measure of
Answer:
63 (c)
Step-by-step explanation:
worked it out my brother
Please explain your answer to the question in the picture with steps
Answer:
x = 31.2
Step-by-step explanation:
You want the solution to the proportion 12/x = 5/13.
Rational equationYou can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...
\(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)
Now, the value of x is found by dividing both sides by its coefficient.
\(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)
__
Additional comment
The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.
Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.
You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.
Any proportion can be written 4 ways:
\(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)
These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.
<95141404393>
factorise the quadratic expression
pls help me I'll give brainliest
x²+8x-48
\(x^2+8x-48\\\\=x^2 + 12x -4x -48\\\\=x(x+12) -4(x+12)\\\\=(x-4)(x+12)\)
Each marble bag sold by Mary's Marble Company contains 5 blue marbles for every 4 purple
marbles. If a bag has 35 blue marbles, how many purple marbles does it contain?
Answer:
The total no. of purple marbles will be:
\( \boxed{ \underline{ \rm{28}}}\)
Step-by-step explanation:
It is given that for every 5 blue marbles, we have 4 purple marbles. And similarly we have to find for the no. of purple marbles for 35 blue marbles.
First, Let's divide these 35 blue marbles in groups of 5. We will get:
➝ 35 ÷ 5 = 7 groups
For each group of 5 marbles, there are 4 purple marbles. So for 7 groups, No. of purple marbles will be:
➝ 4 × 7 = 28 purple marbles.
And we are done! :D
what is the twelfth term in the sequence 13,26,39, ...?
Answer:
166
Step-by-step explanation:
Brainliest and a thanks??
Term 1: 13
Term 2: 26
Term 3: 39
Term 4: 52
Term 5: 65
Term 6: 78
term 7 : 91
Term 8: 104
Term 9: 117
Term 10: 130
Term 11: 143
Term 12: 156
OR 13*12=156
Add 13 every time until you add it 12 times you will get 156. Or you can mulitply 13*12 you will get 156. Multiply is much easier though!!
Hope this helps!
Answer=156
Have a great day!
- Hailey!
(nothing is copied or pasted!!!)
If FH = 9x + 15 and GH = 5x + 4,
then FG = ?
Answer:
FG = 39
Step-by-step explanation:
From the question given:
FH = 9x + 15
GH = 5x + 4
FG = ?
From the question given above, we can say that G is the midpoint of FH. This implies that:
FH = FG + GH
With the above idea in mind, we can obtain FG as follow:
FH = 9x + 15
GH = 5x + 4
FG = ?
FH = FG + GH
9x + 15 = FG + 5x + 4
Rearrange
FG = 9x + 15 - 5x - 4
FG = 9x - 5x + 15 - 4
FG = 4x + 11
Next, we shall determine the value of x. This can be obtained as follow:
Since G is the midpoint of FH, it therefore means that FG and GH are equal i.e
FG = GH
With the above idea in mind, we can obtain the value of x as follow:
FG = 4x + 11
GH = 5x + 4
FG = GH
4x + 11 = 5x + 4
Collect like terms
11 - 4 = 5x - 4
7 = x
x = 7
Thus, we can obtain the value of FG as follow:
FG = 4x + 11
x = 7
FG = 4x + 11
FG = 4(7) + 11
FG = 28 + 11
FG = 39
***Check ***
FH = 9x + 15
x = 7
FH = 9(7) + 15 = 63 + 15 = 78
GH = 5x + 4
x = 7
GH = 5(7) + 4 = 35 + 4 = 39
FG = 4x + 11
x = 7
FG = 4(7) + 11 = 28 + 11 = 39
FH = FG + GH
FH = 78
FG = 39
GH = 39
FH = FG + GH
78 = 39 + 39
78 = 78
If a ball is thrown upward at 96 feet per second from a height of 12 feet, the height of the ball can be modeled by S=12+96t- 16t² feet,
where t is the number of seconds after the ball is thrown. How long after the ball is thrown is the height 152 feet?
It takes seconds for the ball to reach the height 152 feet.
Answer:
2.5 & 3.5
Step-by-step explanation:
152 = 12+96t- 16t²
140+96t- 16t²=0
152 = 12+96t- 16t²
4t²-24t+35=0
(2t-7)(2t-5)=0
t = 2.5 & 3.5
Compare the values of the following numbers, using the symbols > (greater than), < (less than), and = (equal to).
0.5 _____0.500
Answer:
0.5 = 0.500
Step-by-step explanation:
Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.
0.5 = 0.500
7.) According to the quantity equation, changes in the money supply will lead directly to
changes in the price level if velocity and real GDP are unaffected by the change in the
money supply. Will velocity change over time? What factors might lead to changes in
velocity? Are those changes related to changes in the money supply?
According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.
For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.
For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.
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Find surface area of this regular pyramid
Answer:
189 ft²
Step-by-step explanation:
Here is the formula...
1/2 * 6 * 36 + 81
Hope this helps
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The length KL is 8 units
The value of x is undefined
The length KL is 12 units
Calculating the length KLFrom the question, we have the following parameters that can be used in our computation:
The rhombus
Also, we have
DK = 8
A rhombus is a quadrilateral with all sides equal.
So, we have
KL = 8
Calculating the value of xHere, we have
SKAL = 2x - 8
There is no point S on the rhombus
This means that
x = undefined
Calculating the length KLHere, we have
DM = 5y + 2 and DK = 3y + 6
A rhombus is a quadrilateral with all sides equal.
So, we have
5y + 2 = 3y + 6
Evaluate
2y = 4
Divide
y = 2
So, we have
KL = 5 * 2 + 2
KL = 12
Hence, the length KL is 12 units
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what is 5+5-5+5+5-5+5-5+100
Answer:
110
Step-by-step explanation:
5-5 cancel out
By the way, can you follow me on Brainly?
Thanks!
Answer:
uhm I'm not sure I'm really sorry if it's wrong but its 110 if it's not the right one go to calculator
What is the area, in sqaure feet, if the rectangle shown below?
Answer:
D. 32 6/20
Step-by-step explanation:
6 4/5 ×4 3/4
=
34/5× 19/4
=
34× 19
5 4
=
646
20
=
646 ÷ 2
20 ÷ 2
=
323
10
=
32 3/10- which then is equal to 32 6/20 (If we multiply 3/10 by 2 we get 6/20)