MATHEMATICS MIDDLE SCHOOL

Using a transit, a surveyor measures the angle between two trees to be 111 degrees. If the first tree is 62 feet from the transit and the second tree is 58 feet from the transit, what is the distance between the two trees?

Answers

Answer 1

Answer:

Answer:

The distance between the two trees is $98.92\ ft$

Step-by-step explanation:

we know that

Applying the law of cosines

$c^(2)=a^(2) +b^(2) -2(a)(b)cos (C)$

where

c -----> is the distance between the two trees

a ----> is the distance between the transit and the first tree

b ----> is the distance between the transit and the second tree

we have

$a=62\ ft$

$b=58\ ft$

$C=111\°$

substitute and solve for c

$c^(2)=62^(2) +58^(2) -2(62)(58)cos (111\°)$

$c^(2)=9,785.38$

$c=98.92\ ft$

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What are the domain and range of the relation (–4, 2), (0, 1), (0, 5), (8, 10)? A.Domain: {–4, 0, 8}; Range: {2, 1, 5, 10} B.Domain: {2, 1, 5, 10}; Range: {–4, 0, 8} C.Domain: {–4, 0, 5, 10}; Range: {2, 1, 8} D.Domain: {–4, 2, 0, 1, 5, 8, 10}; Range: {–4, 2, 0, 1, 5, 8, 10}
what is 1/10 divided by 9/10?
What is 20% of 45? ______

4 more than a number is no more than 13

Answers

The answer is nine, your welcome

Answer:

Step-by-step explanation:

A square dinner napkin 8in. on each side is folded along its diagonal. Find the area of the folded napkin.

Answers

Since you need to find the area of a square napkin, you need to know what the formula for a square is. It is height multiplied by base. So a square is equal in all sides. 8×8=64
Answer: 64 in²

SHOW WORK!!!!!(question) There are markers every 1000 feet along the side of the road. While driving, Sonya passes marker 8 at 3:10 P.M. and marker number 20 at 3:14 P.M Find Sonya's average speed in feet per minute. Use dimensional analysis to check the reasonableness of your answer.
ANY ANSWERS THAT DO NOT HELP WILL BE REPORTED AND OR DELETED

Answers

1. Find the distance Sonya traveled:
20-8=12
12x1000feet=12000feet
2. Find the time it took Sonya to travel this distance:
Starting time: 3:10
Finish time: 3:14
Difference= 4min
3. Use the speed formula: S=D/T
S=12000feet/4min
S=3000feet/min

Final answer:

Sonya traveled 12000 feet in 4 minutes, so her average speed is 3000 feet per minute. This calculation is reasonable when checking through dimensional analysis.

Explanation:

The subject of this question is average speed which is part of Physics topic in Mathematics. To solve the problem, we'll first figure out the distance Sonya traveled and the time it took. Sonya passed marker 20 at 3:14 P.M and marker 8 at 3:10 P.M, giving us 4 minutes. The markers are every 1000 feet, so from marker 8 to 20, she traveled (20-8) * 1000 = 12000 feet. Therefore, Sonya's average speed is the distance traveled divided by the time it took which is 12000 feet / 4 minutes = 3000 feet/minute.

For dimensional analysis, we can check the reasonableness of our result. The units of speed should be in a form of distance over time. In our answer, we have feet per minute, which fits the requirement, so our calculation is reasonable.

Learn more about Average speed here:

brainly.com/question/12322912

#SPJ12

HELP ASAP 80 POINTS (AND NOOOO LINKS OR DOWNLOADS)Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.

4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

5. Explain what the solution means in the context of the word problem.

Answers

Answer:

Subtract 2 from both of the sides

Step-by-step explanation:

Explain how you know 21/30 is greater than 2/3

Answers

Simple.

to figure out if they are either: equal, greater, or smaller...

First, find a common denominator...

$(21)/(30)$

and

$(2)/(3) * (10)/(10) = (20)/(30)$

Now, we can obviously make the assumption that $(21)/(30)$ is greater than $(20)/(30)$ .

Thus, your answer.

if you do 2 X 10, it's 20.
if you do 3 X 10, it's 30.

so, the fraction would be 20/30, and with the denominators the same, now you can see that 21 is greater than 20.

hopes this helps (:

Difference between 645 and 738

Answers

when someone asks about the difference between two numbers, they are asking you to subtract one number from the other. This sentence can also be written as:

738 - 645 = ?

The answer therefore is 93

Hi,

I'm not sure if you want to find the DIFFERENCE between 645 & 738 or 738 & 645. So Below I have done both of them below:-

645 - 738 = -93

If someone gave you 645 candies, and then someone else said you better give me 738 candies. So, in the end you would have -93 candies left.

738 - 645 = 93

If someone gave you 738 candies, and then someone else said you better give me 645 candies. So, in the end you would have 93 candies left.

Hope I helped:P

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