The value of x is:
.
9.
18.
None of these choices are correct.
Hello!
In the given figure we can see that it is a right angled triangle .
Where,
Base is 9
We have to find the value of x i.e Hypotenuse
Here we are given base and we need to find the Hypotenuse.
Also we have been given the value of theta = 45°
Using trigonometric ratio :
cos \(\theta = \dfrac{ B}{H} \)
As per the question we have hypotenuse = x
Plugging the required values,
\( \cos 45 \degree = \dfrac{9}{x} \)
\( \dfrac{1}{ \sqrt{2} } = \dfrac{9}{x} \: \: \: \: \bigg(\because \cos 45\degree = \dfrac{1}{\sqrt2} \bigg)\)
further solving by cross multiplication
\(x = 9 \sqrt{2} \)
Hence, The value of x is 9√2
Answer : Option 1
Hope it helps! :)
help me please someone...........
The bill with the greatest value ever printed in the United States was worth 10 to the 5th power dollars which of the following is equal to the value of the bill
Answer: 50,000
Step-by-step explanation:
solve the recurrence relation with the given base case: (1) = 1 () = ( − 1) ! , for ≥ 2
The recurrence relation with the given base case is 3.
To solve this recurrence relation, we can use a technique called "substitution method." The substitution method involves substituting the expression for the () term into the recurrence relation, which will give us an equation in terms of lower-order terms.
Let's start by substituting () into the recurrence relation:
() = ()
() = () + 1
We can simplify this expression by substituting () into it:
() = () + 1
() = ( − 1) ! + 1
We now have an expression for () in terms of lower-order terms, namely (). We can use this expression to find the values of subsequent terms in the sequence.
To find the value of () for = 3, we can substitute = 2 into the expression for ():
() = ( − 1) ! + 1
() = (2 − 1)! + 1
() = 1 + 1
() = 2
Similarly, we can find the value of () for = 4:
() = ( − 1) ! + 1
() = (3 − 1)! + 1
() = 2 + 1
() = 3
We can continue this process to find the values of () for any value of . This is the basic idea behind solving a recurrence relation with a given base case.
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Please help me with this question!!!!!
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Four people P, Q, R and S have to sit on the four stools marked 1, 2, 3 and 4.
P goes and sits down on stool 4. Q does not want to sit on a stool that is immediately next to P's. Keeping this in mind, in how many different ways could Q, R and S arrange themselves on the remaining stools?
A) 6
B) 4
C) 3
D) 2
what is the difference between descriptive statistics and inferential statistics?
A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.
Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.
The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.
The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.
Hence we get the required answer.
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select the correct answer.
simplify the following expression.
(1/7x +3/8) +(2/8x - 1/8)
A. -5/63x +1/2
B.23/63x +1/2
C.3/16x + 1/4
D.23/63x + 1/4
Shaquana went shopping for a new phone. The sales tax where she lives is 3.5%. If the price of the phone is pp dollars and cents, which expression represents the total price plus tax?
After applying the sales tax, the expression for the total price of the phone is 1.03p.
What is sales tax?
The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.
The amount for phone is represented as - p dollars and cents
The sales tax percentage is - 3% = 0.03
The sales tax applied on the phone is - 0.03p
The total price of the phone is denoted by the expression -
Total Price = Price of phone + Sales Tax
Total Price = p + 0.03p
Total Price = 1.03p
Therefore, the total price is obtained as 1.03p.
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Evaluate |5|-|-5|
-25
10
25
0
Answer:
0
Step-by-step explanation:
|5|-|-5|
Absolute value means take the positive value
|5| is 5
|-5| is also 5
5-5 = 0
Answer:
10
Step-by-step explanation:
URGENTTTTTTTTTTTTTTT ASAP MARKING BRAINLIEST
Answer:
I would say B only IV because all of the others are assuming and there's no way to prove true or not.
Step-by-step explanation:
What is half of a 3/4 cup?
Answer:0.375
Step-by-step explanation:
3/4=0.75
0.75/2=0.375
(3/4)/2=0.375
help me please, i been stuck on this for awhile now
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
i hope to this meeting:
cxfx / 6584,,who is she?
problem 2. (1 point) you are hosting a party with 80 fellow students from uci (including yourself the number of students is 81). as the party organizer, you shake hands with every guest to welcome them. moreover, there are a lot handshakes among the guests as well (e.g., to say hello or introduce themselves). if you do not know the total number of handshakes, can you be certain that there are at least two guests who had the same number of handshakes?
Yes, you can be certain that there are at least two guests who had the same number of handshakes. This is due to the Pigeonhole Principle.
As the party organizer, you shake hands with all 80 guests, which means you have 80 handshakes. The guests can have a minimum of 0 handshakes (if they don't shake hands with anyone except you) and a maximum of 79 handshakes (if they shake hands with everyone except themselves). There are 80 guests (excluding yourself), so there are 80 "pigeonholes" for the number of handshakes. The range of possible handshakes among the guests is from 0 to 79, which creates 80 possible outcomes or "pigeons."
According to the Pigeonhole Principle, if there are n pigeonholes and n+1 pigeons, at least one pigeonhole must contain at least two pigeons. In this case, there are 80 pigeonholes (guests) and 80 pigeons (possible handshakes). Therefore, at least two guests must have had the same number of handshakes.
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the radius of a sphere is increasing at a rate of 2 mm/s. how fast is the volume increasing when the diameter is 60 mm? evaluate your answer numerically.
When diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.
Define the term rate of volume change?The indication that demonstrates not whether a volume trend is occurring in an up or down direction is the volume rate of change.Step 1: Create an equation that connects a sphere's volume to radius as the first step.
V = 4/3*π*r³
Step 2: Calculate each side's derivative in respect to time (Let the time be "t").
(d/dt)V = (d/dt)(4/3*π*r³)
dV/dt = 4πr²*dr/dt
Step 3: The problem description informs us that the diameter is 600 m, hence r must be 30 mm.
Additionally, it is stated that now the radius of a sphere is expanding at a rate of 2 mm/s; as a result, dr/dt must equal 2 mm/s.
We are interested in dV/dt, or the rate of change of the sphere's volume.
dV/dt = 4π(30mm)²*(2mm/s)
dV/dt = 22,620 mm³/s
So, when diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.
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The Sun appears about 8.4 times as large as Deimos in the Martian sky. It takes Deimos approximately 550 of its diameters to transit the shadow of Mars during a lunar eclipse. Using these values, a radius for Mars of 3,000,000 m, a ratio of Sun-from-Mars distance to Deimos-from-Mars distance of 365,000, calculate the radius of Deimos to one significant digit in meters
The radius of Deimos to one significant digit in meters is approximately 9.4 m
.
Given the ratio of the Sun-from-Mars distance to Deimos-from-Mars distance is 365,000, the distance between Mars and Deimos can be found to bedeimos distance = Sun-Mars distance / 365,000
Next, we can find the diameter of Deimos by noting that 550 of its diameters is equal to the distance it takes to transit the shadow of Mars during a lunar eclipse.
Let's call the diameter of Deimos "d", so we can
diameter = 1/550 * deimos distance
Finally, the Sun appears about 8.4 times as large as Deimos in the Martian sky. If we call the radius of Deimos "r", then the radius of the Sun is 8.4r.
Using the information given, we can set up the following equation:
deimos distance / (3,000,000 + r) = 8.4r / (3,000,000)Simplifying and solving for r,
we get:r = 9.39 m (rounded to one significant digit)
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Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number of miles Mr. Parker drives for the day. Write an algebraic expression that shows the amount he will pay for the van. * 10 points \
Answer:
y=0.35m+50Step-by-step explanation:
Step one:
given data
the daily fee= $50
cost per mile driven =$0.35
Let m = the number of miles
let y be the total cost
Step two
Required
the expression for the total cost is
An algebraic expression that shows the amount he will pay for the van. is
y=0.35m+50
help!!!
i will give a brainliest!!
Answer: is 1 and 3
Step-by-step explanation:
The sum of two consecutive numbers is 25. What is the largest of the consecutive numbers? Type a numerical answer in the space provided.
In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.
How can the the largest of the consecutive numbers be calculated?Given that sum of two consecutive numbers is 25 , ans we were required to locatye the largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:
x + (x+1) = 25
Simplifying the left side of the equation:
2x + 1 = 25
2x = 24
Dividing both sides by 2:
x = 12
So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.
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Please help me out for a brainlist :)
Match the correct form the equation is written in for the following:
Answer:
1,2,3,2,2
Step-by-step explanation:
because standard form is ax
A length is measured at 21 cm correct to two significant figures, what is the lower bound of the length and upper bound?
Answer:
20.5 and 21.5
Step-by-step explanation:
It says 2 significant figures so the least it can possibly be is 0.5 less and the most it can be is 0.5 more as if it was, lets say 20.4 it would round down to 20 not 21.
James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag. How many more pounds does one of the heaviest bags weigh than one of the lightest bags? Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
The answer is "\(1\frac{1}{2}\)"
Step-by-step explanation:
Please find the graph file of the question in the attachment.
Its first step is the lightest and heaviest evil. \(4 \frac{1}{4}\) is the lightest bag, and \(5 \frac34\) is the heaviest bag. To remove it now, it is not permissible to remove it as a mixed fraction, therefore convert each fraction into an improper fraction by multiplying the whole integer to the numerator, then adding a numerator to this amount, multiplied by the numerator. Follow those steps to find out \(4 \frac{1}{4}\) is the wrong part.
\((4\times 4+1=17) \ so\ 4\frac14=\frac{17}{4}.\) The process is the same for \(5 \frac34 (5\times 4+3=23) \ so \ 5 \frac34= \frac{23}{4}.\)
You now deduce the numerator but just not the negative, to deduct both. You subtract, as the question is raised far as\(\frac{23}{4}-\frac{17}{4} =\frac{6}{4}\) is involved. The last stage is that this is transformed into blended families, dividing its count by the denominator, 6 divided by 4 is identical to 1.5. 1 is a full amount so you don't modify it, but you do need to change the 5 decimals to \(1.5=1 \frac{5}{10}\) and the last step is \(1\frac{1}{2}\)to reduce.
HELPP Find the surface area of the pyramid to the nearest whole number. 4 10 10
180 in2
140 in2
40 in2
80 in2
The surface area of a pyramid is calculated by adding the area of the base to the sum of the areas of the lateral faces. The pyramid in question has a base that measures 4 inches by 10 inches, so its area is 4 x 10 = 40 square inches.
To find the area of the lateral faces, we need to use the formula for the area of a triangle, which is (1/2)bh, where b is the base and h is the height.
Since the pyramid has a rectangular base, the lateral faces are congruent triangles with base 4 inches and height 18 inches (calculated using the Pythagorean theorem).
Thus, the area of each lateral face is (1/2)(4)(18) = 36 square inches.
The pyramid has 4 lateral faces, so their combined area is 4 x 36 = 144 square inches.
Adding the area of the base and the lateral faces, we get 40 + 144 = 184 square inches.
Therefore, the surface area of the pyramid is approximately 184 square inches when rounded to the nearest whole number.
Answer: 184 in².
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Your history teachers is going to give you a 92 point assessment. There are 2 point questions and 3 point questions. If there is a total of 40 questions on the assessment, how many questions are worth 2 points?
Answer:
28
Step-by-step explanation:
x = 2 point questions, y = 3 point questions
x + y = 40
2x + 3y = 92
Solving this we get x = 28, y = 12 so the answer is 28.
Answer: 28
Step-by-step explanation:
Let x be the number of 2 mark questions
Let y be the number of 3 mark questions
x+y=40. ---------------(1)
2x+3y=92 ---------------(2)
Solve equation (1) for y
y=40−x
Substitute
y=40−x in equation (2)
2x+3(40−x)=92
2x+120−3x=92
2x−3x=92−120
−x=−28
x=28
Substitute
x=28 in equation (1)
28+y=40
y=40−28=12
Number of 2 mark questions
=28
Number of 3 mark questions
=12
Rivika used the last four digits of her telephone number,1048, followed by its prime factorization to create her email password Determine her password
Answer: I'm pretty sure I can help, just give me like 3 minutes..
-Angie
Answer:
Her password is 1048222131.
Like Angie said, 1048 * 2* 2 * 2 * 131.
But before that you need to decompose 1048 into its prime factors.
The Prime Factorization is:
2 x 2 x 2 x 131
In Exponential Form:
23 x 1311
CSV Format:
2, 2, 2, 131
All Factors of 1048:
1, 2, 4, 8, 131, 262, 524, 1048
Prime Factors Tree
1048
/ \
2 524
/ \
2 262
/ \
2 131
There you go! If you need more help just reach out to me!
a defendant was charged was aggravated assault. at trial, the victi testified that the defendant beat her savagely
The defendant was charged with aggravated assault. During the trial, the victim testified that the defendant beat her savagely.
In this case, aggravated assault refers to a more severe form of assault that involves the intentional causing of serious bodily harm to another person. The victim's testimony plays a crucial role in providing evidence and establishing the defendant's guilt. The prosecution will likely present other evidence, such as medical reports or eyewitness testimonies, to support the victim's claim.
It's important to note that the final verdict will depend on the judge or jury's assessment of the evidence presented during the trial. The defense will have an opportunity to cross-examine the victim and present their own evidence or witnesses to challenge the victim's testimony. The defendant's attorney may also argue for a lesser charge or attempt to establish that the defendant acted in self-defense. Ultimately, the court will weigh all the evidence and decide whether the defendant is guilty of aggravated assault based on the standard of proof beyond a reasonable doubt.
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WILL MARK BRAINLIEST PLSS HELPPP.Triangle RST has vertices R(–1, 1), S(3, 1), and T(3, –4). What
are the coordinates of the image of RST after a translation 4 units to the left and 2 units down?
Answer:
first choice
Step-by-step explanation:
If you add several numbers, how many
significant figures can the sum have?
When adding several numbers, the number of significant figures in the sum depends on the least precise measurement among the addends.
The sum can have as many significant figures as the addend with the fewest significant figures. The significant figures in a number represent the meaningful and known digits along with the estimated or uncertain digit. When adding numbers, it is important to consider the precision or the number of significant figures in each addend.
The sum of several numbers can have no more significant figures than the addend with the fewest significant figures. This is because the least precise measurement determines the overall precision of the result. Adding numbers with more significant figures than the least precise measurement would introduce additional uncertainty or digits that are not known with certainty.
For example, if you add 2.13 + 4.2 + 0.006, the least precise measurement is 0.006, which has three significant figures. Therefore, the sum should be reported with three significant figures as well, resulting in 6.33. Adding any additional digits beyond the least precise measurement would imply a higher level of precision than what is warranted by the original data.
In conclusion, the sum of several numbers should be reported with the same number of significant figures as the addend with the fewest significant figures to maintain accuracy and avoid introducing false precision.
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Paul and Lisa go to a pie shop. Paul bought
A small pie. Emily bought a large pie. They both
Cut their pies into six slices and ate one slice.
Paul told Lisa that she ate more pie than he
did. Lisa said they both ate the same because they
both ate 1/6 of their pies? Who's right? Explain.
Answer:
bro i do not know what to say
Step-by-step explanation: