A fire ranger stands atop an observation tower 70 feet above the ground and sees a fire in the distance. She measures the angle of depression from where she is to the fire and finds it to be 34° How far away from the base of the tower is the fire?​

Answers

Answer 1
Answer:

Answer:

103.78\:\mathrm{ft}

Step-by-step explanation:

We can form a right triangle where the distance between the ranger's current position and fire is the hypotenuse of the triangle. In a right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse.

Therefore, we have:

\tan 34^(\circ)=(70)/(x), where x is the distance between the base of the tower and the fire.

Solving, we get:

x=(70)/(\tan 34^(\circ))=103.779267796\approx \boxed{103.78\:\mathrm{ft}}


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Assume the population has a normal distribution. A sample of 25 randomly selected students Has a mean test score of 81.5 With a standard deviation of 10.2. Construct a 90% confidence interval for the mean test score.

Solve the exponential equation:

Answers

Step-by-step explanation:

2⁵ˣ = 8ˣ⁺²

2⁵ˣ = (2³)ˣ⁺²

2⁵ˣ = 2³ˣ⁺⁶

5x = 3x + 6

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PLEASE HELP!!!!!!!!! I NEED IT The angle of elevation from a point on the ground to the top of a tower is 18°. The base of the tower is 100 feet from the point on the ground. Find the height of the tower. Round to the nearest tenth of a foot.

Answers

Answer:

32.5 feet

Step-by-step explanation:

This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).

With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.

tan 18 = (x)/(100)

Multiply each side by 100:

(100) tan 18 = x

Simplify and round to the nearest tenth:

32.49 = x

32.5 = x

So, the height of the tower is approximately 32.5 feet

An investor buys Rs.1200 worth of share in company first 5 monnths he bought the share at price of Rs.10,12,15,20 and 24 per share. After 5 months what is the average price paid for the share by him. ​

Answers

Answer:

14.6

Step-by-step explanation:

The computation of average price paid for the share is shown below:-

Average = (Total\ investment)/(Total\ share)

= (6,000)/(410)

= 14.6

For more clarification please find the attachment as attached using excel spreadsheet.

By dividing the total investment by the total number of shares we can get the average price paid for the share and the same is to be considered

Moreover, the total investment and the total shares are shown in the attachment. Kindly find it below:

George Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today Gregor has 228 peas to examine . The pods have 6 peas per pod. How many pods of peas are there?

Answers

The answer is 38 peas per pod

228÷6 = 38


Glad to help you :)

Final answer:

By dividing the total number of peas (228) by the number of peas per pod (6), we find that Gregor Mendel has 38 pods of peas.

Explanation:

This question is asking how many pods of peas Gregor Mendel has if he has a total of 228 peas and each pod contains 6 peas. To find out this, you can divide the total number of peas by the number of peas per pod.

So, 228 peas ÷ 6 peas/pod = 38 pods.

Therefore, Gregor Mendel has 38 pods of peas that he is examining for his research.

Learn more about Division here:

brainly.com/question/33969335

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A repair person is scheduled to be at your apartment between 9:00am to 12:00pm but you have to leave at 11:30 to help out a friend. If the repair person is equally likely to be at your apartment any time during the appointment time, what is the probability that you will be there?

Answers

Answer:

5/6

Explanation:

There are 6 half-hours between 9 and 12. You will be there for 5 of them. The probability you will be there is 5/6.

A repair person is scheduled to be at your apartment between 9:00am to 12:00pm but  you have to leave at 11:30 to help out a friend. If the repair person is equally likely to be  at your apartment any time during the appointment time, what is the probability that you  will be there?

83.3%

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*100% CORRECT ANSWERS

Question 1  

What is the approximate Probability of drawing a RED FACE card from a standard deck  of shuffled cards.

11.5%

Question 2  

An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. If a marble is drawn at random what are the ODDS of drawing a red marble?  

1:4

Question 3  

What is the probability of flipping a penny and a nickel and having them both land on  heads?

25%

Question 4

A solider is parachute training. He jumps out of a plane high enough that the pilot determines the solider will land somewhere in an 240 foot radius land zone. The pilow forgot to mention to the solider that the parachute has very little maneuverablity (no  steering). and there are 30 trees in the landing zone. Each tree from the air practically outlines a circle with a radius of 8 feet. What is the geometric probability that the solider  will land in a tree?

0.03333

Question 5  

A repair person is scheduled to be at your apartment between 9:00am to 12:00pm but  you have to leave at 11:30 to help out a friend. If the repair person is equally likely to be  at your apartment any time during the appointment time, what is the probability that you  will be there?

83.3%

(1 point) For the equation given below, evaluate ′ at the point (−1,2). (5−)^4+4^3=2433. ′ at (−1,2) =

Answers

Answer:

(343)/(71)

Step-by-step explanation:

Given the equation

(5x-y)^4+4y^3=2433

Find the derivative:

((5x-y)^4+4y^3)'=(2433)'\n \n4(5x-y)^3\cdot (5x-y)'+4\cdot 3y^2\cdot y'=0\n \n4(5x-y)^3\cdot (5-y')+12y^2y'=0

Substitute

x=-1\n \ny=2,

then

4(5\cdot (-1)-2)^3\cdot (5-y')+12\cdot 2^2\cdot y'=0\n \n4(-5-2)^3(5-y')+48y'=0\n \n4\cdot (-7)^3\cdot (5-y')+48y'=0\n \n-1,372(5-y')+48y'=0\n \n-6,860+1,372y'+48y'=0\n \n1,420y'=6,860\n \ny'=(6,860)/(1,420)=(686)/(142)=(343)/(71)