answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
n200080 [17]
2 years ago
12

A private plane is traveling due east at a rate of 160 mph. A south wind is blowing 30 mph. What is the actual velocity of the p

lane?
A. ≈ 157 mph
B. ≈ 190 mph
C. ≈ 130 mph
D. ≈ 163 mph

Mathematics
1 answer:
photoshop1234 [79]2 years ago
8 0

The resultant velocity of the plane is the sum of the two velocity vectors which are perpendicular to each other. See the attached figure.

The magnitude of the resultant velocity is

\sqrt{160^2+30^2}= \sqrt{26500}=162.79 \;mph.

The approximate value of the actual velocity of the plane is 163 \;mph. Correct choice is (D).

You might be interested in
Charlotte is redecorating the master bedroom in her house. She has already purchased a new bedroom set and also plans to paint t
jasenka [17]

Answer:

a. 30%

b. $893.59

c.

\frac{(351.10-x)}{893.59}\times 100\%

Step-by-step explanation:

a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.

#To get the  percent of the flooring bill that will go towards the cost of labor:

\%  labor\ cost=\frac{labor \ cost}{Total \ flooring \ cost}\times 100\%\\\\=\frac{212.52}{427.35+212.52+75}\times 100\%\\\\=\frac{212.52}{714.87}\times 100\%\\\\=29.73\%\approx30\%

Hence, labor costs 30% of the total flooring costs.

b.The total flooring costs is :

F_c=212.52+427.35+75\\\\=714.87

Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:

Furniture \ Cost= Flooring \ C\ost \times 125%\\\\=714.87\times 1.25\\\\=893.59

Hence, she spends $893.59 on furniture.

c.To get what percentage of  furniture cost was the night stand.

-Given the total furniture cost is $893.59:

Let x be the cost of the dresser and y the cost of the nightstand;

x+y=Furniture\  cost -Bed \ cost\\\\x+y=893.59-558.49=351.1\\\\y=351.1-x

The percentage is then calculated as:

\% cost \ of \ nightstand=\frac{cost \ of \ nighstand}{Furniture \ Cost}\times 100\%\\\\=\frac{351.10-x}{893.59}\times 100\%\\\\=\frac{(351.10-x)}{893.59}\times 100\%

Hnece the percentage cost of the night stand is \frac{(351.10-x)}{893.59}\times 100\%

7 0
2 years ago
Which number line represents the following statement?<br><br> A number is more than negative five.
jarptica [38.1K]
Number Line A, well the first number line.

The open circle shows us that -5 is NOT in the solution. All the numbers greater than -5 ( x > -5) are in the solution.

Faith xoxo
3 0
1 year ago
Read 2 more answers
If e = 9 cm and f = 40 cm, what is the length of g?
rewona [7]

(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.

Answer: D. 41 cm

There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,

a^2+b^2 = (b+1)^2

a^2 + b^2 = b^2 + 2b +1

a^2=2b+1

So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.

b = (a^2 - 1)/2

a=3, b=(3^2-1)/2=4, c=b+1=5

a=5, b=(5^2-1)/2 =12, c = 13

a=7, b=24, c=25

a=9, b=40, c=41

a=11, b=60, c=61

a=13, b=84, c=85

It's good to be able to recognize Pythagorean Triples when we see them.  

Otherwise we'd have to work the calculator:

√(9² + 40²) = √1681 = 41

8 0
2 years ago
John is 4 years older than Becky, and John’s and Becky’s combined ages is 58. How old are Becky and John?A. Becky is 26; John is
Levart [38]

Answer:

Answer C: Becky is 27; John is 31

Step-by-step explanation:

1. John is 4 years older than Becky--27(Becky's age)+ 4=31(John's age)

2. Sum of their ages is 58--27(Becky's age)+31(John's age)=58

So, the correct answer is Answer C.

3 0
1 year ago
Read 2 more answers
A gym is considering changing its operating hours at multiple locations in a city. The gym management wants to know what percent
Marrrta [24]
You don't need the names since there is 4367, and that would only be about 1/9th of the whole amount of members, so b is out of the question. you need average people to make it, so d is out of the question, and picking a random letter out of the alphabet is as arbitrary as a, but you are adding the effect of Inconsistency so I would say Let the gym management decide which members should be surveyed is the right answer
5 0
2 years ago
Read 2 more answers
Other questions:
  • I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing
    15·1 answer
  • The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region?
    8·2 answers
  • Alana is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She starts by assigning coordinates
    13·2 answers
  • The histogram below shows the estimated monthly salaries of company employees with different years of experience.
    5·2 answers
  • Brett colors 25% of the total shapes on his paper he colors 6 shapes enter the total number of shapes on bretts paper
    12·2 answers
  • Triangles A B C and X Y Z are shown. Which would prove that ΔABC ~ ΔXYZ? Select two options. StartFraction B A Over Y X = StartF
    13·2 answers
  • On Tuesday, 448 school children took a field trip to the science museum. All of the children rode on buses that held 32 students
    11·2 answers
  • The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as
    8·2 answers
  • Consider the two triangles. Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y ar
    9·2 answers
  • Problem 2.2.4 Your Starburst candy has 12 pieces, three pieces of each of four flavors: berry, lemon, orange, and cherry, arrang
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!