Bookwork code: L19
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not allowed
b) Find the value of w.
Give each answer as an integer or as a fraction in its simplest form.
task
4 cm
A
7 cm
12 cm
3 cm
Watch video
B
w cm
9 cm
Not drawn accurately
Answers
w = 21/4, which represents the length of the unknown side in the Triangle diagram.
To find the value of w, we can use the concept of similar triangles. In the given diagram, we have two triangles, A and B. Triangle A has sides measuring 4 cm, 7 cm, and 12 cm, while triangle B has sides measuring 3 cm, w cm (unknown), and 9 cm.
By comparing corresponding sides of the two triangles, we can set up the following proportion: 4/3 = 7/w. To find the value of w, we can cross-multiply and solve the equation: 4w = 3 * 7. Simplifying further, we get 4w = 21. Dividing both sides by 4, we find that w = 21/4, which is the value of w.
The proportion used in this problem is based on the concept of similar triangles. Similar triangles have corresponding angles that are equal, and the ratios of their corresponding side lengths are equal as well.
By setting up the proportion using the corresponding sides of triangles A and B, we can solve for the unknown side length w. Cross-multiplying allows us to isolate the variable, and dividing by the coefficient of w gives us the solution. In this case, w = 21/4, which represents the length of the unknown side in the diagram.
Note: The given diagram is not drawn accurately, so the calculated value of w may not be precise.
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Related Questions
Bob uses 16 planks of wood to make 4 beehives. How many planks of wood will he need to make 9 beehives?
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Answer:
36
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Smith, Ulaysia An architect creates a blueprint using a scale of 1 inch = 3.5 ft. If the actual length of a patio is 21 feet, how long will the patio's length appear in the blueprint?
Answers
Answer:
0.5 in.
Step-by-step explanation:
Given a set of 10 letters { I, D, S, A, E, T, C, G, M, W}, answer the following: len ( I, D, S, A, a) With the given letters above, we can construct a binary search tree (based on alphabetical
ordering) and the sequence < C, D, A, G, M, I, W, T, S, E is obtained by post-order traversing this tree. Construct and draw such a tree. NO steps of construction required.
Answers
The Binary Search Tree is as follows:
E
/ \
S T
/ \
I W
/ \
A M
/ \
C G
\
D
The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5
Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:
post-order sequence is: C, D, A, G, M, I, W, T, S, E.
To draw the binary search tree for the given post-order sequence, follow the steps below:
Start with the root node E and mark itFor the given post-order sequence C, D, A, G, M, I, W, T, S, E, identify the last element E as the root node. This node will be at the center of the drawing.Place the node containing the element S to the left of E, and mark it. Similarly, place the node containing the element T to the right of E, and mark it.Place the node containing the element I to the left of S, and mark it. Similarly, place the node containing the element W to the right of T, and mark it.Place the node containing the element A to the left of I, and mark it. Similarly, place the node containing the element M to the right of W, and mark it.Place the node containing the element C to the left of A, and mark it. Similarly, place the node containing the element G to the right of M, and mark it.Place the node containing the element D to the right of C, and mark it. Similarly, place the node containing the element E to the right of G, and mark it. This completes the construction of the binary search tree.To know more about Binary Search Tree, visit:
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Consider the standard one-period binomial option pricing model. Denote the one-period risk-free rate by r and the current price of a non-dividend paying stock S. Assume that in one period the stock price will either have risen to uS or fallen to dS where d< 1<1+r
Answers
we can find the option price at time t=0 by discounting the expected option price at time t=1: V₀ = (1 / (1 + r)) * (p * V_u + (1 - p) * V_d)
In the one-period binomial option pricing model, we consider a stock price that can either rise to uS or fall to dS, where d < 1 < 1 + r. Here, u represents the upward movement factor, d represents the downward movement factor, and S is the current price of the non-dividend paying stock.
Let's denote the option price at time t=0 as V₀, and the option price at time t=1 as V₁.
At time t=1, there are two possible scenarios: the stock price either rises to uS or falls to dS. We assume that the risk-free rate is r.
To find the option price at time t=0, we use a risk-neutral probability approach. Let p be the probability of an upward movement and (1-p) be the probability of a downward movement.
The expected option price at time t=1, discounted at the risk-free rate, is given by:
V₁ = p * V_u + (1 - p) * V_d
where V_u represents the option price at time t=1 if the stock price rises to uS, and V_d represents the option price at time t=1 if the stock price falls to dS.
Since the option price at time t=1 is determined by the payoffs in the two scenarios, we have:
V_u = max(uS - K, 0) (option payoff if the stock price rises to uS)
V_d = max(dS - K, 0) (option payoff if the stock price falls to dS)
Here, K represents the strike price of the option.
To find the risk-neutral probability p, we use the following equation:
p = (1 + r - d) / (u - d)
Finally, we can find the option price at time t=0 by discounting the expected option price at time t=1:
V₀ = (1 / (1 + r)) * (p * V_u + (1 - p) * V_d)
This equation gives us the option price at time t=0 in the one-period binomial option pricing model.
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2x + 7 = 15
What does x equal?
Answers
8. Gianna is making bows for her cheerleading squad. She has 4 yards of ribbon to make the
bows. If each bow requires 1/5 a yard of ribbon, will she have enough ribbon to make 18 bows?
Answers
Using the concept of proportion, Gianna will have enough yards to make 18 bows
Will she have enough ribbon to make 18 bowsTo solve this problem, we need to apply the concept of proportions.
In order to make 1 bow, she needs 1/5 yard of ribbon
Representing this in an equation form will be;
1 bow = 1/5 yard
18 bow = x yard
cross multiply both sides and solve for x
x * 1 = 18 * (1/5)
x = 3.6 yards
From the above, there will be enough yards to make 18 bows.
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1.13 UNIT TEST GRAPH OF SINUSOIDAL FUNCTION PART 1
What is the equation of the midline for the function f(x)?
f(x) =1/2 sin(x)+6
Answers
Answer:
The equation of the midline for the function \(f(x)\) is \(y = 6\).
Step-by-step explanation:
The sinusoidal function of the form \(y = A_{o}+A\cdot \sin x\) is a periodic function whose range is bounded between \(A_{o}-A\) (minimum) and \(A_{o}+A\) (maximum). The equation of the midline is a line paralel to the x-axis, that is:
\(y = c,\forall\, c\in \mathbb{R}\) (1)
Where \(c\) is mean of the upper and lower bounds of the sinusoidal function, that is:
\(c = \frac{(A_{o}+A+A_{o}-A)}{2}\)
\(c = A_{o}\) (2)
If we know that \(y = \frac{1}{2}\cdot \sin x + 6\), then the equation of the midline for the function \(y\) is:
\(c = A_{0} = 6\)
\(y = 6\)
The equation of the midline for the function \(f(x)\) is \(y = 6\).
Can somebody please help? I’ll be super duper thankful!
Answers
Answer:
1. f
2. g
3. d
4. b
5. a
6. e
7. c
Step-by-step explanation:
explain what 4^3/2 means
Answers
The expression 4^3/2 is equal to 32 in exponentiation operation and 4√2 in division operation.
If the exponentiation operation (4^3) is performed before the division operation (/2), then the expression can be written as:
4^3/2 = (4^3) / 2
= (4 × 4 × 4) / 2
= 64 / 2
= 32
If the division operation (/2) is performed before the exponentiation operation (4^3), then the expression can be written as:
4^3/2 = 4^(3/2)
= 4^(1.5)
= 2 × 2 × 2^(0.5)
= 2 × 2 × √2
= 4√2
It's important to note that when dealing with expressions involving exponents, the order of operations matters and can significantly affect the resulting value.
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round 11.475 to the nearest percent plz
Answers
Answer:
11.5 I think??
Step-by-step explanation:
11.475 rounded to the nearest percent would be 11. Rounded to the nearest tenth would be 11.5
Joan wants to make a dinner plan for next week. how many different arrangements are there for the 7 days?
Answers
Answer:
5040
Step-by-step explanation:
an illustration of permutations
The given parameter is:
number of days
dinners for 7 days
Substitute known values
Finding a least-squares solution 1 1 1 -1 0 Let A= and be We want to find the least squares solution of Ax = b. -1 The normal equations corresponding to Ax = b are Â= Therefore the least squares solution of Ax = b is À= ? Using the least square solution, we compute the projection projcol(A)(b) of b onto Col(A): þ =
Answers
To find the least-squares solution of Ax=b, we can use the normal equations A^T Ax = A^T b. In this case, A is given as 1 1 1 -1 0 and b is not given. Therefore, we cannot compute the exact least-squares solution. However, assuming that b is a vector of appropriate dimensions, we can solve the normal equations to obtain the least-squares solution À. Using this solution, we can then compute the projection of b onto the column space of A using the formula projcol(A)(b) = A À.
The least-squares solution of Ax=b is the vector À that minimizes the distance between Ax and b in the Euclidean sense. This solution can be obtained by solving the normal equations A^T Ax = A^T b. In this case, we have A = 1 1 1 -1 0 and we need to find b. Since b is not given, we cannot compute the exact least-squares solution. However, assuming that b is a vector of appropriate dimensions, we can solve the normal equations to obtain À. Using this solution, we can then compute the projection of b onto the column space of A using the formula projcol(A)(b) = A À.
To find the least-squares solution of Ax=b, we can solve the normal equations A^T Ax = A^T b. In this case, we have A = 1 1 1 -1 0 and we need to find b. Assuming that b is a vector of appropriate dimensions, we can solve the normal equations to obtain the least-squares solution À. Using this solution, we can then compute the projection of b onto the column space of A using the formula projcol(A)(b) = A À.
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Using the remainder theorem, what is f (3)when f (x) = −2x^4 + 9x² + 2x + 10? O-92 O -65 O 43 O 73
Answers
Answer:
Look at this attachment and it may help you
Step-by-step explanation:
Answer:
-64
Step-by-step explanation:
took the test
if you know about functions pls help
Answers
Answer:
f(x) is exponential g(x) is quadratic
Step-by-step explanation:
c) the values of function g will exceed function f
HELP ME PLEASE!!! this is the recipe.
Answers
Answer:
Ok... hmmmmm
So im going to assume that this is an adding fractions question so for a half batch it would be 1 1/4 + 2 2/4 which is 3 3/4 cups and for a double batch it would be 15 cups because 10 + 5 is 15.
The first blank probably is 3 3/4
The second blank probably is 15
<3 I already answered this on the other question but I want points so tysm.
Figure out the output for 1 and 2 and figure out if their linear or nonlinear
Answers
Answer:
Step-by-step explanation:
Simply plug each x value into the equation
1.
-3, 0, 3, 6, 8, yes it is linear, it doesn't have any exponents
2.
Same thing
5,2,1,2,5, it has exponenets and is not linear
Given the following roots x = 2, -3, 4. Write a polynomial function p(x)
Answers
Answer:
\(x^3-3x^2-10x+24\)
Step-by-step explanation:
The first thing that you have to do is take the roots that you're given and write binomial products.
\(x= 2, -3, 4\)
\((x-2)(x+3)(x-4)\)
Remember that a root is the value of "x" in a binomial expression, so the binomial expression itself will have the opposite sign of the root.
The next thing you have to do is multiply the roots together. A good way to do this is the "box method."
(See attachment below for the multiplication of \((x-2)\) and \(x+3\). )
Next, multiply your new trinomial by your remaining binomial. (See additional attachment below for the multiplication of \((x^2+x-6)\) and \((x-4)\))
The resulting polynomial is \(x^3-3x^2-10x+24\).
What is the measure of m?
Answers
Answer:
12
Step-by-step explanation:
bc it is
ASAP
What is the horizontal asymptote of this graph?
and
What is the y-intercept? What does this mean in terms of the snake population?
Answers
9514 1404 393
Answer:
horizontal asymptote: y = 0y-intercept: (0, 5)the snake population was 5 in year 0Step-by-step explanation:
The initial value of this function is the y-intercept, marked as (0, 5). The label on the graph tells you this is the snake population in year 0.
__
We note that the snake population goes up by a factor of 2 for each increase of 1 in the number of years. This indicates the function is an exponential function with a base of 2.
y = 5·2^t
Any exponential function will have a horizontal asymptote of y = 0.
For the function f(x) = 2x-4/x+3
What is the x-intercept, y-intercept, and vertical asymptotes
Answers
Answer:
x-intercept: (2,0)
y-intercept: (0,-4/3)
vertical asymptote: x = -3
Step-by-step explanation:
To find the x-intercepts, we can set f(x) to 0, which is y=0:
2x-4/x+3 = 0
2x-4 = 0
2x = 4
x = 2
To find the y-intercepts, we can set x to 0:
2(0)-4/(0)+3 = y
y = -4/3
To find the vertical asymptote, we can set the denominator equal to 0:
x+3 = 0
x = -3
Given y = 3x + 1 State the quadrants in which this graph is in. (Use the numbers 1-4)
Answers
Answer:
1, 2 and 3 (I, II and III)
Step-by-step explanation:
Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.
The y intercept is 1
the x intercept is:
0 = 3x + 1
x = 1/3
Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III. Graph the equation to prove this.
Help me please ?? If u can
Answers
Answer:
1) 35
2)-270
3)-12
Step-by-step explanation:
The 35th floor is above ground
Descending means going down
If you owe someone money that money being taken out of your account
Answer: Thanks For points
if y=10 and x=2 what is the constant of variation (k)?
Answers
Answer:
5
Step-by-step explanation:
hope this helps
¿What is 30% of 80?
Answers
Turn the percentage into a decimal
30% = 0.3
Multiply.
80 * 0.3 = 24
Best of Luck!
Answer:
24
Step-by-step explanation:
by multiplying 30/100 you can find out what 30% of 80 is
check pic
What is 20% of 900 ?
Answers
Answer:
180
Step-by-step explanation:
900/ 10= 90x 2= 180
haha very bad explaination but hope it helps <3
Answer:
180
Step-by-step explanation:
First let's write the problem out.
20% of 900 = 20%*900
20% can also be written out as .2
now all you need do is multiply .2 by 900
This should get you 180
evalute
1. |-7|
2. |15|
3. |0|
4. -|5|
help asap
Answers
2. 15
3. 0
4. 5
Hopefully this is right, basically you are just turning negatives into positives I think.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Mr. Schwartz builds toy cars. He begins the week with a supply of 85 wheels, and uses 4 wheels for each car he builds. Mr. Schwartz plans to order more wheels once he has fewer than 40 wheels left.
The inequality that can be used to find the number of cars, x, Mr. Schwartz builds before he places an order for more wheels is − x < 40.
Mr.Schwartz will need to order more wheels after building cars.
Answers
Mr. Schwartz will need to order more wheels after building 12 cars.
The number of cars x Mr. Schwartz builds before he places an order for more wheels can use the following steps:
Determine how many wheels are used per car:
4 wheels/car
Determine the number of wheels available at the start of the week:
85 wheels
Determine the minimum number of wheels needed to be available before placing an order:
40 wheels
Set up an inequality to represent the situation using x to represent the number of cars built before an order is placed:
Number of wheels used = 4x
Number of wheels remaining = 85 - 4x
Order is placed when number of wheels remaining is less than 40:
85 - 4x < 40
Solve for x by isolating the variable:
85 - 4x < 40
-4x < -45
x > 11.25
Since x represents the number of cars built can't have a fractional value for x.
The nearest integer to get the minimum number of cars that need to be built before an order is placed:
x > 12
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helpppppppppppppppppppppppppppp
Answers
Please HELP ASAP and have a great night
Answers
Answer:
1) Skewed left
2) About 33.333%
Explanation for 2; to find the percent, use the following steps:
First, add all the numbers together to find the total number of students
4 + 6 + 6 + 8 + 12 = 36
Then, divide 12 by 36
12 ÷ 36 = 0.3333....
Finally, multiply 0.3333.... by 100
0.3333.... × 100 = 33.333....%
The rectangles in the figure below are similar. Find the value of x.
A smaller rectangle is inside of a larger rectangle. The rectangles share the top left corner. The right side of the larger rectangle is 5. The right side of the smaller rectangle is 3. The top of the smaller rectangle is x. The distance from the right side of the smaller rectangle to the right side of the larger rectangle is 4.
A. 2.4
B. 2.7
C. 6
D. 6.7
