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denis-greek [22]
2 years ago
12

A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h crosswind blowing due east

. What is the balloon's actual speed and direction? Round angles to the nearest degree and other values to the nearest tenth.
Mathematics
1 answer:
crimeas [40]2 years ago
3 0

Answer:

Step-by-step explanation:

v = {[(20sin36°)i + (20cos36°)j] + 10i} mi/h

 

vE = 20sin36º + 10 = 21.76 mi/h

 

vN = 20cos36° = 16.18 mi/h

 

v = √(vE2 + vN2) = √(21.762 + 16.182) mi/h = 27.12 mi/h

 

θ = tan-1(vN/vE) = tan-1(16.18/21.76) = 36.6º north of east

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The radius of the circular lens of a magnifying glass is 4 centimeters.
Nadusha1986 [10]

Answer: 50.24 square centimeters.

Step-by-step explanation:

Given: The radius of the circular lens of a magnifying glass = 4 centimeters

The area of a circle is given by :-

\text{Area}=\pi r^2, where r is the radius of the circle.

Then the area of the circular lens of a magnifying glass is given by :-

\text{Area}=\pi (4)^2=(3.14)(16)=50.24\text{ square centimeters }

Hence, the area of the circular lens of a magnifying glass = 50.24 square centimeters.

5 0
2 years ago
About how many more inches of rain did Asheville get than Wichita? About how many more days did it rain in Asheville than Wichit
zaharov [31]

Answer:

Par 1) 19.10 inches

Part 2) 39 days

Step-by-step explanation:

we know that

Asheville

47.71 in

124 days

Wichita

28.61 in

85 days

Part 1) About how many more inches of rain did Asheville get than Wichita?

In this part subtract the number of inches of rain in Wichita from the number of inches of rain in Asheville

so

47.71-28.61=19.10\ in

Part 2) About how many more days did it rain in Asheville than Wichita?

n this part subtract the number of days of rain in Wichita from the number of days of rain in Asheville

so

124-85=39\ days

4 0
2 years ago
Which choice describes the value of m when –5(m + 1) ≤ 23?
RSB [31]

Answer:

m\leq-5.6

Step-by-step explanation:

-5m-5\leq23

-5m\leq28

m\leq-5.6

6 0
2 years ago
Read 2 more answers
Jordan spent a total of $14.85 on a trip to the zoo. She spent $6.50 to get into the zoo, $2.85 on snacks, and the rest on the b
puteri [66]

Answer:

To find your answer you would subtract $6.50 and $2.85 from $14.85

you would get $5.50 so that is how much she spent on a round trip ticket to the zoo.

7 0
2 years ago
When expressing sets, you may write "inf" for infinity and "U" for union.
GarryVolchara [31]

Answer:

The complement of the given set in interval notation is(-\infty,-5]\cup(6,\infty). It can we written as (-inf,5]U(6,inf).

Step-by-step explanation:

The given set in interval notation is

(−5,6]

It means the set is defined as

A=\{x|x\in R,-5

If B is a set and U is a universal set, then complement of set B contains the elements of universal set but not the elements of set B.

Here, universal set is R, the set set of all real numbers.

U=\{x|x\in R\}

The complement of the given set is

A^c=U-A

A^c=\{x|x\in R,-\infty

Complement of the given set in interval notation is

A^c=(-\infty,-5]\cup(6,\infty)

Therefore the complement of the given set in interval notation is(-\infty,-5]\cup(6,\infty). It can we written as (-inf,5]U(6,inf).

3 0
2 years ago
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