Answer:
2
Step-by-step explanation:
If the parent function is y = 2, then the function of the graph would also be y = 2.
The parent function represents the simplest form of a function and serves as a reference for transformations. In this case, the parent function y = 2 is a horizontal line parallel to the x-axis, passing through the y-coordinate 2. Any transformations applied to this parent function would alter its shape or position, but the function itself remains y = 2.
What is the reason for each step of the equation? 3x-2=4 Match the reason with the correct step in the equation. Question 5 options: Addition Property of Equality Given Division Property of Equality 1. 3x-2=4 2. 3x=6 3. x=2
The reason for the first and second steps in the equation are Addition Property of Equality and Division Property of Equality respectively
What is the reason for each step of the equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two expressions separated by an equal sign (=) e.g. 2x + 3 = 7
Given: the equation 3x-2=4
Match the reason with the correct step in the equation as follows:
3x-2= 4
Add to 2 to both sides of the equation:
3x-2+2 = 4+2 (Addition Property of Equality)
3x = 6
Divide both sides by 3:
3x/3 = 6/3 (Division Property of Equality)
x = 2
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a german shepherd puppy weighed 25 pounds at 4 months old and 31 pounds at 5 months old. what is the percent increase or decrease of its weight? show hints
Answer:
24% increase
Step-by-step explanation:
percent change = (new value - old value)/(old value) × 100%
A positive percent change is a percent increase.
A negative percent change is a percent decrease.
In this problem:
new value = 31
old value = 25
percent change = (31 - 25)/(25) × 100%
percent change = 24%
Since the percent change is positive, the percent change is a
24% increase
The percentage change in the weight of a German Shepherd puppy from 4 months to 5 months is the an 24% increase in the puppy's weight in 1 month.
The percentage change in the weight of a German Shepherd puppy from 4 months to 5 months is the difference between the two values (31 - 25 = 6) divided by the starting weight (25). This gives us 6/25 = 0.24, or a 24% increase in the puppy's weight in 1 month.
To explain this further, let's look at an example. If a puppy weighed 25 pounds at 4 months, and it gained 6 pounds over the course of the following month, it would weigh 31 pounds at 5 months. To calculate the percentage increase, take the difference in weight (6 pounds) and divide it by the starting weight (25 pounds). This gives us 6/25 = 0.24, or a 24% increase in the puppy's weight.
To calculate the percentage decrease, use the same steps as above, but subtract the starting weight from the final weight instead. For example, if a puppy weighed 25 pounds at 4 months and lost 6 pounds over the course of the following month, it would weigh 19 pounds at 5 months. The percentage decrease would be calculated as (25 - 19)/25 = 0.24, or a 24% decrease in the puppy's weight.
In summary, the percentage change in the weight of a German Shepherd puppy from 4 months to 5 months is the difference between the two values (31 - 25 = 6) divided by the starting weight (25). This gives us 6/25 = 0.24, or a 24% increase in the puppy's weight in 1 month.
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which of the following sets of data would produce the largest value for an independent-measures t statistic? group of answer choices the two sample means are 10 and 20 with variances of 20 and 25. the two sample means are 10 and 12 with sample variances of 20 and 25. the two sample means are 10 and 12 with variances of 120 and 125. the two sample means are 10 and 12 with variances of 120 and 125.
The two sample means of 10 and 20 with variances of 20 and 25 will produce the largest value for an independent-measures t statistic.
An independent-measures t statistic is used to measure the differences between two independent groups. In this case, the two sample means are 10 and 20 with variances of 20 and 25. This will produce the largest value for an independent-measures t statistic because the larger the difference between the two sample means, the larger the t statistic will be. The larger the variance, the more spread out the data is which also results in a larger t statistic. Since the two sample means have a larger difference and the variances are also large, this will result in the largest value for an independent-measures t statistic.
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ASAPP PLEASE!!!! i’ll give you brainliest
Answer:
27
Step-by-step explanation:
Find The Area Of The Region. Interior Of R = 9 + 7 Sin Θ (Below The Polar Axis) 2) Find The Area Of The Region. Two Petals Of R = 8 Sin(3θ) 3) Find Dy/Dx.
1) Find the area of the region.
Interior of r = 9 + 7 sin θ (below the polar axis)
2) Find the area of the region.
Two petals of r = 8 sin(3θ)
3) Find dy/dx.
x=\sqrt[3]{t}
y=3-t
To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.
To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.
To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.
The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).
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PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer:
5 hours
Step-by-step explanation:
Let x represent the amount of hours that ralph can do.
Let y represent the money he earned.
Let m represent how much he earns per hour.
Let b represent the initial fee
y=mx+b
y=33x + 24
189=33x+24
Solve for x:
189=33x+24
165 = 33x
x=5
CAN SOMEONE CHECK MY ANSWERS FOR ME RQ?
1. Addition:
a. x - 5 = 10
b. s - 4 = 6
c. y - 11 = 24
d. t - 8 = 9
2. Subtraction:
a. x + 2 = 10
b. s + 4 = 6
c. y + 17 = 24
d. t + 3 = 118
3. Multiplication
a. 1/5 x = 10
b. 1/2 s = 8
c. 1/2 t = 6
d. 1/4 y = 20
4. Division
a. 4x = 36
b. 13x = 52
c. 5x = 25
d. 10x = 120
5. Mixed Practice
a. x + 9 = 7
b. 23 - y = 44
c. s + 19 = 26
d. m - 40 = 20
e. z + 100 = 100
f. x + 22 = 23
g. s - 4 = 96
h. 1/4 x = 4
i. 24x = 3
j. 1/10 x = 50
k. 1/11y = 33
l. t + 14 = 16
m. t - 1 = 16
n. 1/2 q = 8
o. 15t = 24
My answers:
1.
A.15
B.10
C.35
D.17
2.
A.8
B.2
C.7
D.115
3.
A.50
B.16
C.12
D.80
4.
A.9
B.4
C.5
D.12
5.
A.-2
B.-21
C.7
D.60
E.0
F.1
G.100
H.16
I.1/8
J.500
K.636
L.2
M.17
N.16
O.8/5
Answer:
All looks good but Problem 5 K
363
Step-by-step explanation:
33 x 11 = 363
Answer: I only saw one mistake. On your mixed practice, K is wrong. It is 363, not 636.
hope this helps!
please give brainliest!
Some one can help me please.
Answer:
x = -7
x = -2
x = 3
Step-by-step explanation:
Which equation represents the line shown on the coordinate plane below?
A. y=2/5x+4
B. y=2/3x+4
C. y=3/2x+4
D. y=5/2x+4
The equation that represents the line shown is: D. y = 5/2x + 4.
How to Write the Equation of a Line?The equation can be written as y = mx + b, which is in the slope-intercept form, where:
m = slope = rise/run
b is the y-intercept of the line.
From the image given:
slope (m) = rise/run = 5/2
Y-intercept (b) = 4
To write the equation of the line, substitute m = 5/2 and b = 4 into y = mx + b:
y = 5/2x + 4.
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who long would it take $4000 to grow into $12000 if the annual rate of return is 8%
Subject: Trigonometry, Evaluation of Functions
Hi, I only need help matching the graphs to the questions :) Brainly let's me attach a few graphs, this is 5/10, but i do have a similar question after this one with the rest of the graphs. Sorry!!
5. Given the following function, pick a graph with two possible angles with the domain 0\(\leq\)0\(\leq\)360 degrees. sin0 = 2/3
6. Given the following function, pick a graph with two possible angles with the domain 0\(\leq\)0\(\leq\)360 degrees. cos0 = -1/2
7. Given the following function, pick a graph with two possible angles with the domain 0\(\leq\)0\(\leq\)360 degrees. cot0 = 3/4
8. Given the following function, pick a graph with two possible angles with the domain 0\(\leq\)0\(\leq\)360 degrees. csc0 = 3/2
(i) When sinФ=2/3 → It lies in Ist and IInd quadrants and the suitable graph is not provided here.
(ii) when cosФ=-1/2 → It lies in IInd and IIIrd quadrants and the suitable graph is A and D.
(iii) when cotФ=3/4 → It lies in Ist and IIIrd quadrants and the suitable graph is E.
(iv) when cosecФ=3/2 → It lies in the Ist quadrant and the suitable graph is not provided here.
What is Quadrant?
A plane is split into four sections in the cartesian system by the X-axis, a horizontal line, and the Y-axis, a vertical line. The term "quadrant" refers to these four areas.A quadrant is an area or section of a cartesian plane that results from the intersection of two axes. It is employed to establish a point's location in a plane.(i) When sinФ=2/3
Ф=sin^(-1)(2/3)
Ф=41.81°,138.18°
So it lies in Ist and IInd quadrant.
A suitable graph is not provided here.
(ii) when cosФ=-1/2
Ф=cos^(-1)(-1/2)
Ф=120°,240°
So it lies in IInd and IIIrd quadrant.
A suitable graph is A and D.
(iii) when cotФ=3/4
Ф=cot^(-1)(3/4)
Ф=53.13°,233,13°
So it lies in Ist and IIIrd quadrant.
A suitable graph is E.
(iv) when cosecФ=3/2 or sinФ=2/3
Ф=sin^(-1)(2/3)
Ф=0.729°
So it lies in Ist quadrant.
A suitable graph is not provided here.
(i) When sinФ=2/3 → It lies in Ist and IInd quadrants and the suitable graph is not provided here.
(ii) when cosФ=-1/2 → It lies in IInd and IIIrd quadrants and the suitable graph is A and D.
(iii) when cotФ=3/4 → It lies in Ist and IIIrd quadrants and the suitable graph is E.
(iv) when cosecФ=3/2 → It lies in the Ist quadrant and the suitable graph is not provided here.
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You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $9. 45. For ulo, l le interest rate is 3. 6% for Account A and 2. 4% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer
The principal for Account A is $150, and we do not have enough information to find the principal for Account B. Account A earned the most interest the first month because it has a higher monthly interest rate.
About interest ratesThe principal for Account A can be found using the formula for simple interest:
I = Prt, where I is the interest, P is the principal, r is the interest rate, and t is the time in years.
Rearranging the formula to solve for P, we get P = I / (rt).
For Account A, the interest is $9.45, the interest rate is 3.6%, or 0.036, and the time is 21 months, or 1.75 years.
Plugging these values into the formula, we get:
P = $9.45 / (0.036 × 1.75) = $150
So the principal for Account A is $150.
For Account B, we do not have enough information to find the principal. We know the interest rate, but we do not know the interest or the time.
To determine which account earned the most interest the first month, we can compare the monthly interest rates.
The monthly interest rate for Account A is 3.6% / 12 = 0.3%, and the monthly interest rate for Account B is 2.4% / 12 = 0.2%.
Since the monthly interest rate for Account A is higher, it earned the most interest the first month.
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2. explain what is meant by (distribution) transparency and give examples of different types of transparency.
The phenomena of hiding distribution characteristics in a system from applications and users is known as distribution transparency. Access transparency, location transparency are some examples.
Define the term (distribution) transparency?Distributed databases have the attribute of distribution transparency, which keeps consumers from knowing the internal workings of the distribution.
The DDBMS designer has the option of replicating table fragments, storing them at several locations, and fragmenting tables.There are numerous distribution methods. Systems that need a wide range of management systems to pinpoint the source of resources, a product, or a service delivery process from the end user.Typically, the distributor, seller, or producer is responsible for maintaining transparency to track the many points at which resources, goods, or services are delivered.Accounting supplied by any intermediary company in the product, service, or resource flow is, of course, the usual approach to determine the degrees of value added through distribution management.Thus, access transparency, location transparency are some examples of the (distribution) transparency.
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the coase theorem reminds us that efficiency is all about maximizing total
The Coase theorem is an economic theory that states that in the absence of transaction costs, the allocation of resources and the distribution of wealth will be efficient regardless of how property rights are assigned.
In this context, the theorem reminds us that efficiency is all about maximizing total welfare, rather than focusing solely on the allocation of resources or the distribution of wealth. When transaction costs are low or non-existent, parties can negotiate with each other to reach mutually beneficial agreements that maximize their combined welfare. This means that ownership of property or resources is less important than the ability of parties to freely negotiate with one another.
For example, imagine two neighboring farms: one produces apples and the other produces honey. If the apple farmer's use of pesticides harms the bee population and reduces the honey farmer's production, the honey farmer could demand compensation from the apple farmer. If transaction costs are low, the two farmers could negotiate a solution that is mutually beneficial, such as the apple farmer paying for the honey farmer to relocate their bees to a safer area. In this scenario, the assignment of property rights is not as important as the ability of the two parties to negotiate and reach an agreement that maximizes their total welfare.
Overall, the Coase theorem highlights the importance of considering the broader impacts of economic decisions and recognizing that efficiency depends on maximizing the overall benefits to all parties involved, rather than just focusing on individual outcomes.
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Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 180° counterclockwise.
U′(0, −2), V′(−1, −3), W′(−3, −3)
U′(0, −2), V′(1, −3), W′(3, −3)
U′(2, 0), V′(3, −1), W′(3, −3)
U′(−1, 0), V′(−3, 0), W′(3, −3)
To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:
A 180° counterclockwise rotation of a point (x, y) about the origin produces the point (-x, -y).To perform a rotation of a polygon, we apply the transformation rule to each vertex of the polygon.Using these rules, we can find the vertices of image U′V′W′ as follows:
Vertex U(-2, 0) is transformed to U′(0, -2), since (-(-2), -(0)) = (2, 0) becomes (0, -2) after the rotation.Vertex V(-3, 1) is transformed to V′(1, -3), since (-(-3), -(1)) = (3, -1) becomes (1, -3) after the rotation.Vertex W(-3, 3) is transformed to W′(3, -3), since (-(-3), -(3)) = (3, 3) becomes (3, -3) after the rotation.Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).
So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).
TIMED HURRY!! What is the sum of the series
possible answers
1,830
2,010
5,400
5,490
\(\\ \rm\Rrightarrow \sum^{60}_{n=1}3n\)
It will form a arithmetic sequence as
\(\\ \rm\Rrightarrow 3(1)+3(2)+3(3)\dots 3(60)\)
First term=a=3Last term=3(60)=180n=60So
Summation
\(\\ \rm\Rrightarrow \dfrac{n}{2}(a+\ell)\)
\(\\ \rm\Rrightarrow \dfrac{60}{2}(3+180)\)
\(\\ \rm\Rrightarrow 30(183)\)
\(\\ \rm\Rrightarrow 5490\)
Option D
Answer:
\(\mathsf {5,490}\)
Step-by-step explanation:
\(\textsf {Given :}\)
\(\lim_{1 \to \660} \sum3n\)
\(\textsf {Finding the necessary :}\)
\(\textsf {1. first term (a)}\)
\(\implies \mathsf {a = 3(1) = 3}\)
\(\textsf {2. final term}\) \(\mathsf {(a_n)}\)
\(\implies \mathsf {a_n = 3(60) = 180}\)
\(\textsf {3. common difference (d)}\)
\(\implies \mathsf {a_2 = 3(2) = 6}\)
\(\implies \mathsf {d = a_2 - a_1 = 6 - 3 = 3}\)
\(\textsf {Finding the sum of the series :}\)
\(\implies \mathsf {S_n =\frac{n}{2}(a + a_n) }\)
\(\implies \mathsf {S_6_0 = \frac{60}{2} (3 + 180)}\)
\(\implies \mathsf {S_6_0 = 30 \times 183}\)
\(\implies \mathsf {S_6_0 = 5,490}\)
7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 and 18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = { vt ++3 dt Jo Answer 8. g(x) = {* In (1+tº) dt
By using Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is ln(sqrt(x + x^3)). The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is ln(1 + x^2).
The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.
So, applying this theorem, we have:
g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]
= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)
= ln(sqrt(x + x^3))
Therefore, g'(x) = ln(sqrt(x + x^3)).
Using the Fundamental Theorem of Calculus, we have:
g'(x) = d/dx [∫1_x ln(1 + t^2) dt]
= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)
= ln(1 + x^2)
Therefore, g'(x) = ln(1 + x^2).
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____The given question is incomplete, the complete question is given below:
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0. 8. g(x) = { In (1+t^2) dt} where limit are from x to 1.
A student in the Construction Trades program at the Cecil County School of Technology has 4 1/2gallons of paint. If he uses 2.75 gallons of the paint in one room, how many gallons of paint are left? Show your work on your paper and write your final equation and correct answer in the box below.
Answer:
1.75 gallons of paint
Step-by-step explanation:
A student in the construction trades program has 4 1/2 gallons of paint
If the student uses 2.75 gallons in one room then the gallons of paint that are left can be calculated as follows
= 4 1/2 - 2.75
= 9/2 - 2.75
= 4.5 - 2.75
= 1.75
Hence 1.75 gallons of paint are left
ratio analysis can be made more meaningful in all the following ways except by?
Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.
Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.
In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.
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The full question:
ratio analysis can be made more meaningful in all the following ways except by?
In the figure below, o ll k . Find the values of x and z .
Answer:
x = 110°, z = 32°
Step-by-step explanation:
x + 70 = 180 (Exterior angles)
x = 110
4z - 58 + 110 = 180 ( Linear pair)
4z = 128
z = 32
Pls mark as brainliest if possible and cheers!
Answer:yo mom
Step-by-step explanation:
what percent is 17 out of 40?
Answer:
below
Step-by-step explanation:
17/40 * 100 % = 42.5 %
Answer:
42.5%
Step-by-step explanation:
to get 40 (denominator) to 100, you need to multiply 40 by 2.5times.
so, multiply 17 (numerator) too: 17 times 2.5 = 42.5
42.5 percent is your answer
Suppose that f'(x)=2x for all x
A.)Find f(-5) if f(0)=0
B.)Find f(-5) if f(1)=0
C.) Find f(-5) if f(-4)=17
The final value is:
f(-5) = (-5)^2 = 25.
f(-5) = (-5)^2 - 1 = 24.
f(-5) = (-5)^2 + 1 = 26.
We can solve this problem by using the fact that the derivative of a function gives us the slope of the tangent line at any point. We can then use this information to find the equation of the function that satisfies the given derivative and the additional information about the function's values at certain points.
A) To find f(-5) if f(0)=0, we need to integrate the derivative f'(x)=2x with respect to x, since integration is the inverse operation of differentiation.
∫f'(x)dx = ∫2xdx = x^2 + C
where C is the constant of integration.
Since f(0)=0, we can find C by substituting x=0:
f(0) = 0^2 + C = 0
C = 0
Thus, the equation of the function is:
f(x) = x^2
So, f(-5) = (-5)^2 = 25.
B) To find f(-5) if f(1)=0, we can use the same method:
∫f'(x)dx = ∫2xdx = x^2 + C
Since f(1)=0, we can find C by substituting x=1:
f(1) = 1^2 + C = 0
C = -1
Thus, the equation of the function is:
f(x) = x^2 - 1
So, f(-5) = (-5)^2 - 1 = 24.
C) To find f(-5) if f(-4)=17, we can again use the same method:
∫f'(x)dx = ∫2xdx = x^2 + C
Since f(-4)=17, we can find C by substituting x=-4:
f(-4) = (-4)^2 + C = 17
C = 1
Thus, the equation of the function is:
f(x) = x^2 + 1
So, f(-5) = (-5)^2 + 1 = 26.
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if shadowland's workers can produce 6 lunch boxes or 18 sandwich containers per hour, then the opportunity cost of 1 lunch box is
The opportunity cost of 1 lunch box is 3 sandwich containers. This means workers are giving up the opportunity to produce 3 sandwich containers
The opportunity cost represents the value of the next best alternative forgone when making a choice. In this case, the workers at Shadowland have the option to produce either lunch boxes or sandwich containers.
Given that they can produce 6 lunch boxes or 18 sandwich containers per hour, we can calculate the opportunity cost.
To find the opportunity cost of 1 lunch box, we compare the number of sandwich containers that could have been produced in the same amount of time.
Since they can produce 18 sandwich containers per hour, the opportunity cost of 1 lunch box is the number of sandwich containers that could have been produced instead, which is 18/6 = 3.
Therefore, the opportunity cost of 1 lunch box is 3 sandwich containers. This means that for every lunch box produced, the workers are giving up the opportunity to produce 3 sandwich containers, which represents the trade-off in their production choices.
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Here are two right-anpled triangles.
The lengths of the sides are given in centimetres.
Given that
tan c + cos d = 1.5
find the size of angle c.
Give your answer correct to the nearest degree.
Answer:
c = 35°
Step-by-step explanation:
tanα = \(\frac{Opposite}{Adjacent}\)
cosβ = \(\frac{Adjacent}{Hypotenuse}\)
With respect to angle c:
Opposite = 2
Adjacent = 3x
∴tan c = \(\frac{2}{3x}\)
With respect to angle d:
Hypotenuse = 4x
Adjacent = 3
∴cos d = \(\frac{3}{4x}\)
Given that
tan c + cos d = 1.5
Substitute the derived expressions and solve for x:
\(\frac{2}{3x} + \frac{3}{4x} = 1.5\)
The denominators of the two fractions need to be made the same:
\((\frac{4}{4})(\frac{2}{3x}) + (\frac{3}{3})(\frac{3}{4x}) = 1.5\)
\(\frac{8}{12x} + \frac{9}{12x} = 1.5\)
\(\frac{8 + 9}{12x} = 1.5\)
\(\frac{17}{12x} = 1.5\)
Cross-multiplication is applied:
\((1)(17) = (12x)(1.5)\)
\(17 = 18x\)
∴\(x = \frac{17}{18}\)
Substitute this value of x in tanc equation to solve for c:
tan c = \(\frac{2}{3(\frac{17}{18})}\)
c = \(tan^{-1}[\frac{2}{3(\frac{17}{18})}]\)
∴c = 35.0° (Rounded to the nearest degree)
there are 6 people in line to board a plane with 6 seats. the first person has lost his boarding pass, so he takes a random seat. everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat. what is the probability the last passenger ends up in his/her assigned seat, as a decimal?
The probability that the last passenger end up in his/her assigned seats is 0.20.
In the given question, there are 6 people in line to board a plane with 6 seats.
The first person has lost his boarding pass, so he takes a random seat.
Everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat.
We have to find the probability the last passenger ends up in his/her assigned seat.
Given 6 people with 6 Seats.
The probability that the last passenger end up in his/her assigned seats = 1/5
The probability that the last passenger end up in his/her assigned seats = 0.20.
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Plz help
The point of intersection of two function is also called the
A. Center
B. Equation
C. Vertex
D. Solution
Answer:
Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball
A b c or d will mark for brainiest
Answer:
C
Step-by-step explanation:
Small tier will serve 20 and medium tier will serve 40
Angela used 25 cups of flour to make 5 batches of lemon cookies. She used 12 cups of flour to make 3 batches of vanilla cookies. Which type of cookie uses more flour?
Answer:
the lemon cookies they use more
Step-by-step explanation:
what is the value when 18times of the difference of 15 and 12 divided by 6
Tom is tiling a wall.
He needs to buy at least 100 tiles. The tiles are sold in large packs and small packs.
Large pack = 40 tiles £18
Small pack = 28 tiles £14
Special offer = 25% reduction when you buy 3 or more large packs.
Work out the cheapest cost for Tom to buy the packs of tiles he needs.
Answer £
Answer:
The correct answer is - £ 40.5 for 3 large packs.
Step-by-step explanation:
Given:
Large pack = 40 tiles £18
Small pack = 28 tiles £14
Special offer = 25% reduction when you buy 3 or more large packs.
Solution:
Following combinations are possible for tom to get the tiles he needs:
1. 3 large packs
40*3 = 120 tiles with 25% discount
cost = 18*3 - 0.25*18*3 = 40.5
2. 4 small packs
28*4 = 112 tiles
cost = 14*4 = 56
3. 2 large packs and 1 small pack
40*2 + 28 = 108 tiles
cost = 18*2 + 14 = 50
4. 1 large pack and 3 small packs
40 + 28*3 = 124 tiles
cost = 18 + 14*3 = 60
Thus, the correct answer is - 1st case with three large packs.