Mathematics : asked on Arealbot
 22.09.2020

3 m
b
5 m
What is the length of the missing leg?
b = meters

. 4

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Mathematics
Step-by-step answer
P Answered by Master
Question 1(Multiple Choice Worth 5 points) (06.07A MC) What is the length of the third side of the window frame below? (Figure is not drawn to scale.) A picture of a right triangular window frame is shown. The longest side has length labeled as 87 inches. The height of the frame is labeled as 63 inches. 48 inches 60 inches 70 inches 75 inches
answer - 60

Question 2(Multiple Choice Worth 5 points) (06.07A MC) The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scale.) A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 9 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B? 6.71 miles 7.35 miles 8.66 miles 10.82 miles
answer - 6.71

Question 3(Multiple Choice Worth 5 points) (06.07A LC) The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 8.54 units 9.54 units 11.00 units 24.00 units
answer - 8.54

Question 4(Multiple Choice Worth 5 points) (06.07A LC) Jessica calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle was it? Four triangles E, F, G, H are shown from left to right. Triangle E has one side labeled as 2 and the other as 3, and the included acute angle is shown. Triangle F has both sides labeled as 3, and the included acute angle is shown. Triangle G has one side labeled as 4 and the other as 2, and the included right angle is shown. Triangle H has one side labeled as 6 and the other as 7, and the included obtuse angle is shown. E F G H
answer - i need the triangles the be able to answer
Mathematics
Step-by-step answer
P Answered by Master
Question 1(Multiple Choice Worth 5 points) (06.07A MC) What is the length of the third side of the window frame below? (Figure is not drawn to scale.) A picture of a right triangular window frame is shown. The longest side has length labeled as 87 inches. The height of the frame is labeled as 63 inches. 48 inches 60 inches 70 inches 75 inches
answer - 60

Question 2(Multiple Choice Worth 5 points) (06.07A MC) The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scale.) A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 9 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B? 6.71 miles 7.35 miles 8.66 miles 10.82 miles
answer - 6.71

Question 3(Multiple Choice Worth 5 points) (06.07A LC) The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 8.54 units 9.54 units 11.00 units 24.00 units
answer - 8.54

Question 4(Multiple Choice Worth 5 points) (06.07A LC) Jessica calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle was it? Four triangles E, F, G, H are shown from left to right. Triangle E has one side labeled as 2 and the other as 3, and the included acute angle is shown. Triangle F has both sides labeled as 3, and the included acute angle is shown. Triangle G has one side labeled as 4 and the other as 2, and the included right angle is shown. Triangle H has one side labeled as 6 and the other as 7, and the included obtuse angle is shown. E F G H
answer - i need the triangles the be able to answer
Mathematics
Step-by-step answer
P Answered by Master

Step-by-step explanation:

Question 6)

sin Y= m

sin Y = m/1

So, hypotenuse is 1

Since sine is opposite over hypotenuse

So XZ= m and YZ = 1

Similarly, cos Y = k

cos Y = k/1

So adjacent side of angle Y is k

So XY = k

cos z - sin z = \frac{XZ }{YZ } - \frac{XY}{YZ}

cos z - sin z = \frac{m }{1 } - \frac{k}{1}

cos z - sin z = m - k

Question 7)

the relationship between sine, cosine, and tangent.

tan(x) = sin(x)/cos(x) = (11/61)/(60/61)

tan(x) = 11/60

Question 8)

Start with where the shorter leg is. It must be opposite the smallest angle.

In a 30 - 60 - 90 degree triangle you have the hypotenuse to be twice as long as the shortest side. You have to read that a couple of times to make sure you understand it. 

That being said, if the shortest side is x, the hypotenuse will be 2x.

Since in this case the shortest side is 11, the hypotenuse will be 2*11 = 22

The answer is 22

Mathematics
Step-by-step answer
P Answered by Master

Step-by-step explanation:

Question 6)

sin Y= m

sin Y = m/1

So, hypotenuse is 1

Since sine is opposite over hypotenuse

So XZ= m and YZ = 1

Similarly, cos Y = k

cos Y = k/1

So adjacent side of angle Y is k

So XY = k

cos z - sin z = \frac{XZ }{YZ } - \frac{XY}{YZ}

cos z - sin z = \frac{m }{1 } - \frac{k}{1}

cos z - sin z = m - k

Question 7)

the relationship between sine, cosine, and tangent.

tan(x) = sin(x)/cos(x) = (11/61)/(60/61)

tan(x) = 11/60

Question 8)

Start with where the shorter leg is. It must be opposite the smallest angle.

In a 30 - 60 - 90 degree triangle you have the hypotenuse to be twice as long as the shortest side. You have to read that a couple of times to make sure you understand it. 

That being said, if the shortest side is x, the hypotenuse will be 2x.

Since in this case the shortest side is 11, the hypotenuse will be 2*11 = 22

The answer is 22

StudenGPT
Step-by-step answer
P Answered by Studen AI
Based on the provided passages, the logical inference about Jane Eyre's character is:

D) Jane is a sensitive person but also has a strong, rebellious nature.

Explanation:
Throughout the passages, we see that Jane resists the mistreatment from others and questions the unfairness she experiences. She shows a rebellious nature by standing up for herself and speaking out against unfair treatment. For example, in the first passage, she resists and rebels against the opinions of Bessie and Miss Abbot. Additionally, her strong response of not wanting to be viewed as a servant in Passage 4 shows her assertiveness. In Passage 5, she further challenges the idea of her being less than a servant. This demonstrates her independence and refusal to be treated unjustly.

Moreover, Jane's rebellious nature is also shown in her thoughts and actions. In the second passage, she expresses her dissatisfaction with her physical inferiority compared to her cousins. She does not conform to societal expectations and norms, highlighting her strong will and non-compliant nature.

However, it is important to note that Jane's rebelliousness does not necessarily make her deceitful or unkind, as suggested in option A. Jane's character is complex and goes beyond being ungrateful or spiteful, as mentioned in option B. She is not presented as shy or timid throughout the passages, as stated in option C. Instead, she displays a combination of sensitivity, independence, and a strong sense of justice.
StudenGPT
Step-by-step answer
P Answered by Studen AI
Based on these two passages, it can be logically inferred that Bessie's character is option C: that Bessie can be both kind and cruel, depending on the circumstances.

In the first passage, Bessie is shown to be concerned and protective of Miss Eyre. She tries to intervene when Miss Eyre is being mistreated and even warns her about the consequences of her actions. Bessie appears to care for Miss Eyre's well-being and tries to guide her towards better behavior.

However, in the second passage, Bessie is described by Miss Eyre as being strict and dismissive. Bessie discourages Miss Eyre from questioning or challenging her elders and tells her to remain silent until she can speak pleasantly. Bessie's harsh response implies that she can be cruel and unsympathetic, at least in this particular situation.

So, based on these passages, it can be inferred that Bessie's character is not static. She displays both kindness and cruelty, depending on the circumstances and the behavior of those around her.
Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

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