\(\\ \sf\Rrightarrow \dfrac{15}{20}=\dfrac{21}{28}\)
\(\\ \sf\Rrightarrow \dfrac{1}{4}=\dfrac{1}{4}\)
Hence they are similar
#2
<A=<HAnd ratio of sides are sameHence both triangles are similar by SAS property
#3
\(\\ \sf\Rrightarrow ∆KDH\sim ∆ABD\)
Algorithm to accept the height of a building in metres and convert it into centimetres.Also draw the flowchart
Answer:
1200cm
Step-by-step explanation:
Given data
We know that 1meter is equivalent to 100cm
i,.e 1*100
so, if height is 1.2meters
Height in centimeters is 1.2*100
Hence height in centimeters is 1200cm
I need help ASAP, will give brainliest. Also please give reasoning
Answer: S and T.
Step-by-step explanation:
I watched a video on how to do this just to answer, so it might not be right LOL. But since the angles are the same if you draw them from each other they both show the angles are equal which means the lines are parallel.
If y is directly proportional to x and y = 17.5 when x = 21, find y when x = 39.
The value of x given the value of y in the directly proportional relationship is 32.5.
What is the value of x?The equation that can be used to represent a directly proportional relationship is : x = ky
Where:
y = independent variable x = dependent variable k = constantThe value of k has to be determined first:
21 = 17.5k
k = 21 / 17.5
k = 1.2
The value of y
y = 39 / 1.2
y = 32.5
To learn more about direct proportion, please check: https://brainly.com/question/1266676
Tourists stop at an information desk at a rate of one every 60 minutes, and answering their questions takes an average of 30 minutes each. There are 8 employees on duty. If a tourist isn't served immediately, how long on average would the tourist have to wait for service? a. 0.417 minutes b. 0.005 minutes c. 0.167 minutes d. 0.333 minutes
The average waiting time for a tourist who isn't served immediately is approximately 0.9375 minutes, which is closest to option d. 0.333 minutes.
To calculate the average waiting time for a tourist who isn't served immediately, we need to consider the arrival rate of tourists, the service rate of the employees, and the number of employees available.
The arrival rate is given as one tourist every 60 minutes, which means that the arrival rate (λ) is 1/60 tourists per minute. The service rate (μ) is the reciprocal of the average service time, which is 1/30 tourists per minute.
Since we have 8 employees available, the effective service rate (μ') is 8 times the individual service rate, which gives us 8/30 tourists per minute.
To calculate the average waiting time (W), we can use the formula:
W = (ρ / (μ - λ)) * (1 / μ),
where ρ is the traffic intensity, which is equal to λ / μ'.
Substituting the values into the formula:
ρ = (1/60) / (8/30) = 0.25,
W = (0.25 / (8/30)) * (1 / (8/30)) = 0.25 * (30/8) = 0.9375 minutes.
Therefore, the average waiting time for a tourist who isn't served immediately is approximately 0.9375 minutes, which is closest to option d. 0.333 minutes.
Learn more about tourist from below link
https://brainly.com/question/5501800
#SPJ11
what is the value of x when the richter scale rating is 5.5
Answer:
5.5
Step-by-step explanation:
divide both sides
Marcus received an invoice for $3,000 that had payment terms of 4/10n/45. She made a partial payment of $1,500 during the discount period. a. Calculate the amount credited. Round to the nearest:ient b. Calculate the balance on the invoice after the partial payment was made. Round to the nearest cent
The amount credited from the partial payment made during the discount period is $1,470. The balance on the invoice after the partial payment was made is $1,530.
The payment terms "4/10n/45" indicate that a 4% discount is applicable if the payment is made within 10 days, and the full amount is due within 45 days. Marcus made a partial payment of $1,500 during the discount period.
To calculate the amount credited, we first determine the discount amount by multiplying the invoice amount ($3,000) by the discount percentage (4%). This gives us a discount of $120. Since Marcus made a partial payment of $1,500, we subtract the discount amount from the partial payment to find the credited amount. Therefore, $1,500 - $120 = $1,380. Rounded to the nearest cent, the amount credited is $1,380.
To calculate the balance on the invoice after the partial payment was made, we subtract the credited amount from the remaining balance. The remaining balance is the invoice amount ($3,000) minus the partial payment ($1,500), which equals $1,500. Subtracting the credited amount of $1,380 from this balance, we get $1,500 - $1,380 = $120. Rounded to the nearest cent, the balance on the invoice after the partial payment is $120.
In summary, the amount credited from the partial payment made during the discount period is $1,380, and the balance on the invoice after the partial payment was made is $120.
Lern more about amount here:
https://brainly.com/question/8082054
#SPJ11
Destiny sells newspapers at a
newsstand outside of her grocery
store. She normally charges $2.35 for
a newspaper. Today, Destiny has
lowered the price by $0.50. So far, she
has sold 8 newspapers at the new
price. How much money has Destiny
made so far from selling newspapers
at the new price?
Answer:
$14.80
Step-by-step explanation:
First you need to subtract .50 from 2.35, which is 1.85.
Next you need to multiply 1.85 times 8.
1.85 x 8 = 14.80
Therefore, she has made $14.80 since the new price.
i was arguing with this guy in dahood yesterday and he said "i f'd ur dog to death how that make u feel".
Answer:
that something very disgusting to even say wdf
Step-by-step explanation:
how do i solve for x?
Answer:
x = 15°
Step-by-step explanation:
angle S is 90° (right-angle) since RS is tangent to circle and S is a point on the circle.
angles in triangle add up to 180°.
so angle x must be 180 - 90 - 75 = 15°.
When given a set of cards laying face down that spell M, A, T, H, I, S, F, U, N, determine the probability of randomly drawing a vowel.
three tenths
three sixths
one ninth
one third
Answer: 84%
Step-by-step explanation: Add 2 + 4 + 10 + 9 = 25
25 x 84% = 21
21 is how much you would have without the green marbles.
Exercise 10
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the compound event? Write your answer as a fraction or percent rounded to the nearest tenth.
The probability of choosing a 5 and then a 6 is 1/49
Finding the probability of the compound eventFrom the question, we have the following parameters that can be used in our computation:
The tiles
Where we have
Total = 7
The probability of choosing a 5 and then a 6 is
P = P(5) * P(6)
So, we have
P = 1/7 * 1/7
Evaluate
P = 1/49
Hence, the probability of choosing a 5 and then a 6 is 1/49
Read more about probability at
https://brainly.com/question/31649379
#SPJ1
Question
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6
Sketching a Function from its Derivatives A In this post, you will use the first and second derivatives of a function (along with a few other pieces of information) to sketch the graph of a function. Sketch the graph of a single function f (x) that satisfies all of the following conditions. Use the techniques that we have learned in this course to do so. f'(x)= 16(x + 2) (6 - x) ³ 32(x + 6) f"(x) = (6 x - x) 4 The domain of fis (-[infinity], 6) U (6,[infinity]) x = 6 is a vertical asymptote of f lim f(x) = 1, lim f(x) = 1 x→→[infinity]0 f(2)= 1 8个
Here, x = 6 is a vertical asymptote of f, so the function approaches infinity as x approaches 6 from both sides.
Let's start by integrating f'(x) to get f(x). We have:
f'(x) = 16(x+2)(6-x)³ - 32(x+6)
Integrating both sides with respect to x:
f(x) = ∫[16(x+2)(6-x)³ - 32(x+6)] dx
Simplifying the integral, we get:
f(x) = -2(x+2)²(6-x)⁴ + 16(x+6) + C
where C is the constant of integration.
Next, we can find the critical points of f(x) by setting f'(x) = 0:
f'(x) = 16(x+2)(6-x)³ - 32(x+6) = 0
Solving for x, we get x = -2 and x = 6 as critical points.
Now, we can use the second derivative f''(x) to determine the concavity of the function. We have:
f''(x) = (6x-x)⁴ = x⁴
Since the second derivative is always positive for x > 0, the function is concave up on the interval (6, ∞).
Similarly, since the second derivative is always negative for x < 0, the function is concave down on the interval (-∞, -2).
At x = -2 and x = 6, the function has an inflection point.
Finally, we know that x = 6 is a vertical asymptote of f, so the function approaches infinity as x approaches 6 from both sides.
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ4
what is the answer please?
Which inequality is true?
O A. |-15| > |-19
OB. |-161 < 1131
OC. |-15] > [12
OD. 12< |-81
O E. |-19| > |-201
Answer:
Taking the absolute value results in a positive value A would be trueUse the vertical line test to determine whether or not the graph is a graph of a function.
the ratio of dividends to the average number of common shares outstanding is:
The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.
To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.
For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.
In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.
To know more about dividend, here
brainly.com/question/3161471
#SPJ11
whats the answer!! please asap
Answer:1/90
Step-by-step explanation:
Help me find the measure of m
The values of the angles for the given figure are m ∠M=76°,
m ∠N=76°.
What is meant by an angle?An angle is a figure in Euclidean geometry made up of two rays that share a terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are located in the plane where the rays are located. The meeting of two planes can also create an angle. These are referred to as dihedral angles. The angle formed by the rays lying perpendicular to the two intersecting curves at their point of intersection can likewise be used to establish an angle between two intersecting curves.
Given,
In ΔLMN,
m ∠L=28°
As we know that,
Angle sum in a triangle=180°
m ∠L+ m ∠M+ m ∠N=180°
From the figure,
m ∠M= m ∠N
So, m ∠L+ m ∠M+ m ∠M=180°
28°+ 2 m ∠M=180°
2 m ∠M=180°-28°
2 m ∠M=152°
m ∠M=76°
So, m ∠N=76°
Therefore, the values of the angles for the given figure are m ∠M=76°,
m ∠N=76°.
To know more about angle, visit:
https://brainly.com/question/17039091
#SPJ1
8 9 help me plsss free nitro
Answer:
8. 67 sure 100% so it will be A
9. I am not sure but the answer will be 100 or 120 so it will A or B
Good luck XD
Step-by-step explanation:
A water balloon is thrown upward from a height of 5 feet with an initial velocity of 35 feet per second. The quadratic function \large h\left(t\right)=-16t^2+35t+5 represents the height of the balloon, h, in feet t seconds after it is thrown. When does the water balloon reach the height of 20 feet? round your answer to the nearest thousandth.
Since, The equation of the height with the time is provided and the balloon is thrown upwards against gravity from 5 feet, The answer is 0.255 sec.
What do you mean by equation?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What is initial and final velocity?When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.
initial height = 5
final height =20
height to travel =20-5 =15
\(15 = 16t^{2}+35t+5\\16t^{2}+35t-10 =0\)
solving we get, t = 0.255 or -2.44
since, -2.44 is not possible,
t = 0.255 seconds.
To learn more about motion visit:
https://brainly.com/question/27102563
#SPJ4
In clicas trals of a medication, 2107 subjects were divided into two groups. The 1520 subjects in group 1 received the medication. The 578 in group 2 received a pacoba. Of the 1529 subjects in group 1, 54 experienced dirsiness as a side effect in group 2, 12 experienced darziness as a side effect. To lest whother the proporion experiencing dixziness in grovp 1 is greater than that in gro 2. the researchens entered the datn into statatical schware and obtained the following results. Test at a =0.05. Estimate for p(1)−p(2)=0.014556 95\% Cl for p(1)−α2)(−0.0003,0.029412) Test for p(1)−p(2)=D(vs>0kz=1.71 P-value =0.044 (This is a reading assessment question
the study found that the proportion of subjects experiencing dizziness as a side effect was significantly higher in group 1 (medication) compared to group 2 (placebo), with an estimated difference in proportions of 0.014556 and a p-value of 0.044.
This question is asking you to interpret the statistical results obtained from a study comparing the proportion of subjects experiencing dizziness as a side effect in two groups receiving different treatments.
The study included 2107 subjects divided into two groups, with 1520 subjects receiving the medication in group 1 and 578 receiving a placebo in group 2. Of the 1529 subjects in group 1, 54 experienced dizziness, while in group 2, 12 experienced dizziness.
To test whether the proportion of subjects experiencing dizziness in group 1 is greater than that in group 2, the researchers conducted a hypothesis test with a significance level of 0.05. The null hypothesis (H0) was that there is no difference in the proportions of subjects experiencing dizziness between the two groups (p1 = p2), while the alternative hypothesis (Ha) was that the proportion of subjects experiencing dizziness in group 1 is greater than that in group 2 (p1 > p2).
The statistical software provided an estimate for the difference in proportions (p1 - p2) of 0.014556, with a 95% confidence interval ranging from -0.0003 to 0.029412. This means that we can be 95% confident that the true difference in proportions falls between these two values.
The test statistic used to evaluate the hypothesis test was D = (p1 - p2) / SE, where SE is the standard error of the difference in proportions. The calculated test statistic was 1.71, with a corresponding p-value of 0.044. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the proportion of subjects experiencing dizziness in group 1 is greater than that in group 2.
In summary, the study found that the proportion of subjects experiencing dizziness as a side effect was significantly higher in group 1 (medication) compared to group 2 (placebo), with an estimated difference in proportions of 0.014556 and a p-value of 0.044.
Learn more about proportion here:
https://brainly.com/question/32847787
#SPJ11
james took a survey to show that baskitball is the favorite sport for 18 out of 25 students which percent is the closet to the probility that a person favorite sport will not be baskitball
The closest to the probability that a person's favorite sport is 28%.
What is probability?Probability of an event happening is the ratio of the number of required outcome to that of the total number of possible outcomes. while the probability of the event not happening is one minus the event happening.
From the question, the number of required outcome is 18 and the number of possible outcomes is 25.
So the probability of the event that a person's favorite sport is not basketball = 1 - (18/25)
probability of the event that a person's favorite sport is not basketball = (25 - 18)/25 [simply to a single fraction]
probability of the event that a person's favorite sport is not basketball = 7/25
probability of the event that a person's favorite sport is not basketball = 28/100 [convert to percentage]
probability of the event that a person's favorite sport is not basketball = 38%
Therefore, the probability that a person's favorite sport will not be baskitballbis 38%.
Know more about probability here: https://brainly.com/question/25870256
#SPJ1
manufacturer of automobile transmissions uses three different processes. management ordered a study of the production costs to see if there is a difference among the three processes. a summary of the findings is shown next. process 1 process 2 process 3 total process totals ($100s) 137 108 107 352 sample size 10 10 10 30 sum of squares 1,893 1,188 1,175 4,256 in an anova table, what are the total degrees of freedom?
The total degrees of freedom for this ANOVA table is 29. The total degrees of freedom for an ANOVA table related to the production costs of automobile transmissions using three different processes.
Here's a concise explanation using the provided data:
In an ANOVA table, the total degrees of freedom (DF) are calculated by summing the degrees of freedom between groups and the degrees of freedom within groups.
Degrees of freedom between groups (DFb) is calculated as the number of groups (processes) minus 1:
DFb = (3 processes) - 1 = 2
Degrees of freedom within groups (DFw) is calculated as the total sample size minus the number of groups:
DFw = (30 total samples) - (3 processes) = 27
Now, we can find the total degrees of freedom by adding DFb and DFw:
Total DF = DFb + DFw = 2 + 27 = 29
So, the total degrees of freedom for this ANOVA table is 29.
Learn more about freedom here
https://brainly.com/question/13273450
#SPJ11
What are the vertex focus and directrix of the parabola with equation y=x^2-6x+15.
The vertex focus of the parabola is (3,15) and the directrix is x=3.
1. Rewrite the equation in the form y = a(x - h)^2 + k
y = x^2 - 6x + 15
y = 1(x - 3)^2 + 15
2. The vertex focus is (h, k) = (3, 15)
3. The directrix is x = h = 3
By rewriting the equation in the form of y = a(x - h)^2 + k, we can find the vertex focus and directrix of the parabola. The vertex focus of a parabola is the point at which the graph changes direction, and is equal to (h, k). The directrix is the line at which the vertex focus is located, and is equal to x = h. For this equation, h = 3 and k = 15, so the vertex focus is (3, 15) and the directrix is x = 3.
Learn more about vertex here
https://brainly.com/question/29030495
#SPJ4
Some one help me on this
Answer:
why not ...............
Answer:
The answer should be A
Step-by-step explanation:
For a proportional relationship, the line needs to be straight and it needs to go through the origin. Hope I helped :)
asap pls help! it’s due in 5 mins
Answer:subtract to elimanate y
Step-by-step explanation:
Yesterday, it took 40 minutes to drive to school. Today, it took 32 minutes to drive to school. What is your percent of change?
Step-by-step explanation:
decrease by 20%
xxxxxxxx
Quadrilateral A'B'C'D' is a dilation of quadrilateral ABCD about point P. Is this dilation a reduction or an enlargement? O reduction O enlargement
The dilation of quadrilateral ABCD to form quadrilateral A'B'C'D' can be found to be a A. reduction.
What is a reduction dilation ?A reduction is a transformation that decreases the size of a shape or figure while maintaining its shape and proportions. It involves scaling down all the dimensions of the figure by the same factor.
This can be achieved by multiplying the coordinates of each point in the figure by a scaling factor less than 1. A reduction is often used when creating scaled-down models, maps, or drawings.
As shown on the diagram, the dimensions of quadrilateral ABCD are larger than those of A'B'C'D' which shows that it was reduced.
Find out more on reduction at https://brainly.com/question/9590734
#SPJ1
f=4 and g=5 find the measure of the indicated angle.
Answer:
corvet covet hop in that jet way jet
Step-by-step explanat
(-13xy+2y)+(2x-5xy-15y)
Answer:-18xy+2x-13y
Step-by-step explanation: combine like terms
Answer:
2x -18xy -13y
Step-by-step explanation:
(-13xy + 2y) + (2x - 5xy -15y)
-13xy + 2y + 2x -5xy - 15y
Collecting like term..
2x -13xy - 5xy - 15y + 2y
= 2x -18xy -13y