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3 years ago

Please Help! Thanks!

Mathematics

2 answers:

Anna71 [15]3 years ago

5 0

Answer:

20 units

Step-by-step explanation:

Triangles SRQ and RTQ are similar figures

x/(9+16) = 16/x

x² = 16×25

x = 4×5

x = 20

svetlana [45]3 years ago

4 0

Answer:

C, 20 units

Step-by-step explanation:

We see that both angles QRS and QTR are 90 degrees. In addition, angles SQR and RQT are equivalent (because they're both angle Q).

By AA Similarity, we know that triangle QTR is similar to triangle QRS.

With this similarity in mind, we can look at the ratios of corresponding lengths to set up a proportion. QR from triangle QTR is the hypotenuse, and it corresponds to hypotenuse QS from triangle QRS. So, we can write the ratio x/(9 + 16) = x/25.

Now, we see that long leg QT of triangle QTR corresponds to long leg QR of triangle QRS. So, another ratio we can write is: 16/x.

Finally, we set these two ratios equal to each other:

$\frac{x}{25} =\frac{16}{x}$

Cross-multiplying, we get: $x^{2} =16*25=400$ .

Thus, x = $\sqrt{400} =20$ . The answer is C, 20 units.

Hope this helps!

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Flying fish use their pectoral fins like airplane wings to glide through the air. Suppose a flying fish reaches a maximum height

GrogVix [38]

The flight is in the shape of a parabola with a vertex 5 feet above the water and 1/2 * 33 = 16.5 feet horizontally from the point of leaving the water

y = a(x - h)^2 + k

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y = a(x - 16.5)^2 + 5

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which gives a = -0.018365

So our function for the flight path is

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7 0

3 years ago

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Suppose that scores on an aptitude test are normally distributed with a mean of 100 and a standard deviation of 4.6. Scores on a

DerKrebs [107]

Answer:

The correct answer is C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.

Step-by-step explanation:

1. Let's check all the information given to us to answer the question correctly:

Mean of the scores on the aptitude test = 100

Standard deviation of the aptitude test = 4.6

Felix's score on the aptitude test = 106

Mean of the scores on the knowledge test = 70

Standard deviation of the knowledge test = 2.4

Felix's score on the knowledge test = 75

2. Which statement best describes Felix's scores on the two tests comparatively?

Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

Therefore, a score of 106 on the aptitude test, will have the following z-score:

106 - 100 = 6 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

6/4.6 = 1.30

A score of 75 on the knowledge test, will have the following z-score:

75 - 70 = 5 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

5/2.4 = 2.08

The z-scores of Felix were 1.30 on the aptitude test and 2.08 on the knowledge test. He performed better on the aptitude test because 2.08 > 1.30, so the correct statement that best describes Felix's scores on the two tests comparatively is C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.

6 0

3 years ago

Old McDonald had a farm. In one pen the old farmer had chickens and bulls together. In that pen there were 40 animals in total,

SVETLANKA909090 [29]

Answer:

There are 15 numbers of chicken and 25 numbers of bulls.

Step-by-step explanation:

The pen had chickens and bulls. The pen contains 40 animals in total. The number of legs in the pen is 130 .

Let

a = number of chicken

b = number of bull

a + b = 40................(i)

A chicken has 2 legs and a bull has 4 legs.

The total legs can be represented as

2a + 4b = 130...........(ii)

combine the equation

a + b = 40................(i)

2a + 4b = 130...........(ii)

a = 40 - b

insert the value of a in equation(ii)

2(40 - b) + 4b = 130

80 - 2b + 4b = 130

80 + 2b = 130

2b = 130 - 80

2b = 50

divide both sides by 2

b = 50/2

b = 25

Insert the value of b in equation (i)

a + b = 40

a + 25 = 40

a = 40 - 25

a = 15

There are 15 numbers of chicken and 25 numbers of bulls.

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3 years ago

I tried solving it but I everytime I follow how its suppose to go, I dont get the right answer.

77julia77 [94]

Answer:

B. 64.9

Step-by-step explanation:

A graphing calculator or spreadsheet can fit these points with an exponential curve. An appropriate answer for x=14 is about 73.3.

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Comment on the answer choices

The closest answer that makes any sense is 64.9. Often these problems are worked by someone who uses inappropriate rounding of intermediate results. I haven't found the magic set of numbers to get 64.9. About the lowest I can get is 66.7, using 0.0037·e^(0.7x).

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3 years ago

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cricket20 [7]

Answer: a

Step-by-step explanation:

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