A blimp is 1500 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those measurements are 72.9° and 34.1°, how far apart are the two stadiums to the nearest meter?

Answers

Answer 1
Answer:

Answer:

The distance between both stadiums is:

2215.49 m - 461.46 m =1754.03 m

Step-by-step explanation:

Look at the attached picture:

Lets say that the stadium on the left is stadium 1 and stadium 2 is on the right.

Using the angle property of alternate angles the angle above stadium 1 is 72.9°  and the angle above the stadium 2 is 34.1°

By using trigonometric function of tangent we solve it as:

We know that tanθ = opposite / adjacent

Therefore,

tan  72.9°=1500/ adjacent

Now

adjacent = 1500/tan 72.9°

adjacent = 461.46 m

Solve for next angle:

Tan 34.1°=1500/ adjacent

adjacent = 1500/tan 34.1°

adjacent = 2215.49 m

Therefore the distance between both stadiums is:

2215.49 m - 461.46 m =1754.03 m ....


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describe two ways you could evaluate 37% of the sum of 27.6 and 15.9. tell witch method you would use and why

Answers

The percentage of 37% of the sum of the numbers 27.6 and 15.9 will be

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The first method

Find the sum of two numbers,

27.6 + 15.9 = 43.5

37% of 43.5 will be as,

0.37 x 43.5 = 16.095

The second method →

Find the 37% of 27.6 as

0.37 x 27.6 = 10.212

Find the 37% of 15.9 as

0.37 x 15.9 = 5.883

Add both numbers as

10.212 + 5.883 = 16.095

The easiest method is method 1 because it is fewer in steps.

Hence "The percentage of 37% of the sum of the numbers 27.6 and 15.9 will be 16.095.

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You could substract or divide It to get the sum.

one cookie is 1/2 in thick. if you stacked 12 cookies on top of each other , how tall would the stack be?

Answers

Just multiply 12 by 1/2
The answer would be 6 cause 12 X 1/2 

Answer asapA football team lost 9 yards on its first play. It then gained 9 yards on its second play.


Explain A. What expression can be written to represent how many yards the football team is from where it started? Explain your reasoning.

Explain B. How many yards is the football team from where it started?

Explain C. Suppose that, instead, the football team had gained 9 yards on its first play and lost 9 yards on its second play. Would the team’s position on the field have been any different than it actually was after the first two plays? Why or why not

Answers

for A:  Do -9+9.  It is negative because they LOST yards,  which means backwards momentum xDD
For B:  They are right where they started.  -9+9=0.  They lost 9,  then gained the 9 they had lost.
C:  It would not have been different.  No matter what way you add it,  it would have been the same thing.  Instead it would be 9-9,  which is still 0.  

Hope this helps!

Given the lease terms below, what is the total price of this car if you buy itafter leasing, and you do not get the security deposit back?
Terms:
• Length of lease: 18 months
• MSRP of the car: $21,400
• Purchase value of the car after lease: $17,100
• Down payment: $1500
• Monthly payment: $479
• Security deposit: $350
• Acquisition fee: $700
O
O
O
A. $21,100
B. $21,172
C. $28,272
D. $20,794

Answers

The total price of this car if you buy it

after leasing, and you do not get the security deposit back is; C. $28,272

How to solve lease terms?

Total price in this question will be all the costsincurred from leasing to buying.

We are given;

Purchase value of the car after lease: $17,100

Down Payment: $1500

Monthly Payment: $479 × 18 = $8622

Security Deposit: $350

Acquisition fee: $700

Thus;

Total costs = $17,100+ $1500 + $8622 + $350 + $700

Total Costs = $28272

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Answer:C. $28,272

Step-by-step explanation:

Solve |3x + 9| + 6 = 6

Answers

Answer:

x = -3

Step-by-step explanation:

|3x + 9| + 6 = 6

|3x + 9|  = 6 - 6

|3x + 9|  = 0

3x + 9 = 0

3x = - 9

 x = -3

PLEASE HELP!! WILL THANK YOU AND MARK BRAINLIEST!!Triangle ABC has vertices A (0,7), B (7,3), and C (1,4): Under the transformation rule, (x,y) —> (x-3,y-4), A’ would be (-3,3).

True

False

Answers

Answer:

True

Step-by-step explanation:

Since the rule is (x, y) ---> (x - 3, y - 4), you would subtract 3 from 0 (the x value of A) which would be -3. Then subtract 4 from 7 (the y value of A), which would be 3. So the answer would be true, that A' would be (-3, 3).