in △RST, ∠R is a right angle and m∠S=43∘. In △FGH, ∠F is a right angle, and m∠H=47∘ Determine whether △RST∼△FGH.
△RST∼△FGH by the AA Similarity Theorem.

△RST∼△FGH by the SAS Similarity Theorem.

△RST∼△FGH by the SSS Similarity Theorem.

The triangles are not similar.

Answer:

m = 60 years

Step-by-step explanation:

granddaughter's age in months is equal to her grandmother's age in years

d = m

The sum of the granddaughter's age in years and the grandmother's age in years is 65

d/12 + m = 65

Substitute

m/12 + m = 65

(13/12)m = 65

multiply both sides by 12/13

m = 65 * 12/13

m = 60 years

Answer:

60 years

Step-by-step explanation:

Let the age of grandmother be x years

So, age of granddaughter = x months = x/12 years

According to the question:

The sum of the granddaughter's age in years and the grandmother's age in years is 65.

[tex]x + \frac{x}{12} = 65 \\ \\ \frac{12x + x}{12} = 65 \\ \\ \frac{13x}{12} = 65 \\ \\ x = 65 \times \frac{12}{13} \\ \\ x = 60 \\ [/tex]

Thus, the age of grandmother is 60 years.

Answer:

[tex] \to 5 \times \dfrac{3}{4} \\ \\ \to \dfrac{5 \times 3}{4} \\ \\ \to \dfrac{15}{4} \\ \\ \to \pmb{ 3 \dfrac{3}{4}}[/tex]

[tex] \to 2 \times 1 \dfrac{1}{2} \\ \\ \to 2 \times\dfrac{3}{2} \\ \\ \to \dfrac{2 \times 3}{2} \\ \\ \to \dfrac{6}{2} \\ \\ \to \pmb{3}[/tex]

Answer:

3^3 x 3.14

9 x 3.14 = 28.26

28.26  x 2 = 56.52

2 x 3.14 x 3 = 18.84

18.84 x 10 = 188.4

Now lets add all given areas:

56.52 + 188.4 = 244.92 m^2 for question 1

4 x 3.14 x 12^2

4 x 3.14 x 144 = 1,808.64 cm^2 is your answer for question 2

14^2 x 3.14

196 x 3.14 = 615.44

3.14 x 14 x 33 = 1450.68

1450.68 + 615.44 = 2,066.12 cm^2 is your answer for question 3 I think

Answer:

I can help if you give me the expression. Otherwise, you can put it into a math calculator that provides you with a step-by-step explanation. Such as Symbolab

Answer:

[tex]s(t) = \frac{4t^3}{3} - 3t^2 + v(0)t + 2[/tex]

Step-by-step explanation:

Relation between acceleration, velocity and position:

The velocity function is the integral of the acceleration function.

The position function is the integral of the velocity function.

Acceleration:

As given by the problem, the acceleration function is:

[tex]a(t) = 8t - 6[/tex]

Velocity:

[tex]v(t) = \int a(t) dt = \int (8t - 6) dt = \frac{8t^2}{2} - 6t + K = 4t^2 - 6t + K[/tex]

In which the constant of integration K is the initial velocity, which is v(0). So

[tex]v(t) = 4t^2 - 6t + v(0)[/tex]

Position:

[tex]s(t) = \int v(t) dt = \int (4t^2 - 6t + v(0)) dt = \frac{4t^3}{3} - \frac{6t^2}{2} + v(0)t + K = \frac{4t^3}{3} - 3t^2 + v(0)t + K[/tex]

The initial position is s(0) = 2. So

[tex]s(t) = \frac{4t^3}{3} - 3t^2 + v(0)t + 2[/tex]

Answer:

Save money by a job

Step-by-step explanation:

She can help peoplw, oe get a small job and save up :)

Answer:

30,290,000 people

Step-by-step explanation:

The question is asking if the trend continues from the PREVIOUS year, so we would find the 30% of 23,300,000

23,300,000/100 = 233,000 = 1%

233,000 x 30 = 6,990,000

23,300,000 = 6,990,000 = 30,290,000

Answer:

n = 9

Step-by-step explanation:

Method 1(Algebra) :

3 + n = 12

3 - 3 + n = 12 - 3

n = 9

Method 2:

3 + n = 12

Move 3 to the other side of the equation.

n = 12 - 3

n = 9

5, 10, 23, 26, 45, 46, 55

The data set that has the set forth parameters is 5, 10, 23, 26, 45, 46, and 55.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Mean is the average of a set of numbers.

Mean = sum of the numbers / total number

Range is the largest number less the smallest number.  The Interquartile range is the third quartile less the first quartile.

To learn more about mean, please check: https://brainly.com/question/25842202

Answer:

Estimated average

0.30011

Step-by-step explanation:

Estimate of slope = 0.30011

Given that the transformed response variable possess a slope that is no longer the change in Y

The correct interpretation is now that this is an estimated average change in Y per unit change in X. And the value of this change is  0.30011

Answer: 8 cows mooed

Step-by-step explanation:

Answer:

La respusta es 16

Step-by-step explanation:

8x2=16

16+8=24

I hope this helps!!

Answer:

the answer to this is

(a.)(2,-1)

Answer:

n

Step-by-step explanation:

s

Answer:

6

Step-by-step explanation:

The interquartile range is calculated by subtracting the first quartile from the third quartile. Box and whisker plots make it pretty easy to find the quartiles. The first quartile is the point where the box starts, and the third is where the box ends. The second is the median/line in the middle of the box.

So for that first box plot on the top, the first quartile is 7, because that's where the box begins. The third quartile is 22 because it's where the box ends.

For the second one, the first quartile is 8 and the third is 17.

To find the interquartile range of each, subtract the first quartile from the third. 22-7 = 15 and 17-8 = 9.

Now to find the difference in the interquartile ranges, subtract 9 from 15. You get 6, so that is the answer :)

Answer:

2/20

Step-by-step explanation:

since,there are 20 whole number and if u put 2 random number the,

probability(P)=favorable outcome/possible outcome

so p=2/20

Thank You

Answer:

Answer D

Step-by-step explanation:

120 + 81+ 39=240 silver bikes

80+54+26= 160 black bikes

Total 200 + 135 + 65= 400

240+ 160=400

Answer:

yes, because P(road bike) = 0.625 and P(road bike | silver) = 0.625

Step-by-step explanation:

Answer:

my best guess is A. ratio

Answer:

[tex]XY : WX = 1.39[/tex]

Step-by-step explanation:

Given

[tex]RS = 18; ST = 25; TR = 11[/tex]

Required

Which is closest to [tex]XY : WX[/tex]

From the question, we understand that: [tex]\triangle RST[/tex] and [tex]\triangle WXY[/tex] are similar.

This means that, the following sides are similar:

[tex]RS \to WX[/tex]

[tex]ST \to XY[/tex]

[tex]TR \to YW[/tex]

So:

[tex]XY : WX = ST : RS[/tex]

This gives:

[tex]XY : WX = 25 : 18[/tex]

Express as fraction

[tex]XY : WX = \frac{25 }{ 18}[/tex]

[tex]XY : WX = 1.39[/tex] --- approximated

Answer:

[tex]x=37.4[/tex]

Step-by-step explanation:

In an right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse (a/h).

Therefore, we have the following equation:

[tex]\cos 68^{\circ}=\frac{14}{x},\\x=\frac{14}{\cos 68^{\circ}}\approx\boxed{37.4}[/tex]

Answer:

0% probability that, for any day, the number of special orders sent out will be no more than 33

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 66 special orders daily

This means that [tex]\mu = 66[/tex]. We have the mean during a time interval, which means that the number of special orders follow a Poisson distribution, which has [tex]\sigma = \sqrt{\mu} = \sqrt{66}[/tex]

What is the probability that, for any day, the number of special orders sent out will be no more than 33?

Since the Poisson distribution, which is discrete, is approximated to the normal(which is continuous), we have to use continuity correction, and thus, this probability is P(X < 33 - 0.5) = P(X < 32.5), which is the p-value of Z when X = 32.5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{32.5 - 66}{\sqrt{66}}[/tex]

[tex]Z = -4.12[/tex]

[tex]Z = -4.12[/tex] has a p-value of 0.

0% probability that, for any day, the number of special orders sent out will be no more than 33

Answer:

517.2

Step-by-step explanation:

It has sides you're not seeing so don't forget those.

You need to find the area of the front, back, two sides, and bottom

Front & back:

6*5.2* 1/2

31.2/2 = 15.6 for each

Sides:

27*6 = 162 each

Bottom:

6*27 = 162

162+162+162+15.6+15.6= final answer

Answer: B

Step-by-step explanation:

First, you do 5.2 times 6 divided by two which is 15.6. Now you do 15.6 times two since there are two triangles and get 31.2. Now you do 27 times 6 times two and get 324 + 31.2 = 355.2. Lastly, you do 27 times 6 to get 162. 162+355.2 = 517.2

Answer:

1

Step-by-step explanation:

Trust

Answer:

205891132094649

Answer:

Step-by-step explanation:

Dear student, the missing data in the given information includes that:

The past experience showcases that for 75% successful bids & 40% unsuccessful bids,  additional information is being requested by the agency.

∴

For a bid to be successful, the chance is half

Thus, the prior probability P(successful) is;

P(successful) = [tex]\dfrac{50}{50+50}[/tex]

P(successful) = 0.5

The conditional probability is:

[tex]P(request/successful)= \dfrac{P(request \& \ successful) }{P(successful)}[/tex]

[tex]P(request/successful)= 0.75[/tex]

To compute the posterity probability, we use the Naive Bayes Theorem:

So,

Let S = successful, Us = Unsuccessful; R = request:

Then;

[tex]P(S/R) = \dfrac{P(R/S) *P(S)}{[P(R/s)* P(S) +P(R/Us) *P(Us)]}[/tex]

[tex]P(S/R) = \dfrac{0.75*0.5}{0.75* 0.5 +0.40 *0.5]}[/tex]

[tex]P(S/R) = \dfrac{0.375}{0.375 +0.20} \\ \\ P(S/R) = \dfrac{0.375}{0.575}[/tex]

P(S/R) = 0.65

Answer:

2:7

Step-by-step explanation:

10:35 can also be written as 2:7

Thenks and mark me brainliest :))

Point in original figure: (-1,5)

Point in final figure: (7,2)

Take the bold point on the figure and drag it 8 to the right.

Once you arrive at this point, drag it 7 up.

Hope this helps.

Answer:

125

Step-by-step explanation:

Formula Simple interest:

P x r x t