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Mandarinka [93]
2 years ago
5

Tyeewants to buy disposable masks for his family. Blue masks cost $1.50and greenmasks cost $2.50. He has $45to spend and wants t

o buy a total of 20masks.
Mathematics
1 answer:
sasho [114]2 years ago
7 0

Answer:

28

Step-by-step explanation:

im famous bro

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A plane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its co
butalik [34]

Answer:

Distance from the airport = 894.43 km

Step-by-step explanation:

Displacement and Velocity

The velocity of an object assumed as constant in time can be computed as

\displaystyle \vec{v}=\frac{\vec{x}}{t}

Where \vec x is the displacement. Both the velocity and displacement are vectors. The displacement can be computed from the above relation as

\displaystyle \vec{x}=\vec{v}.t

The plane goes at 400 Km/h on a course of 120° for 2 hours. We can compute the components of the velocity as

\displaystyle \vec{v_1}=

\displaystyle \vec{v_1}=\ km/h

The displacement of the plane in 2 hours is

\displaystyle \vec{x_1}=\vec{v_1}.t_1=.(2)

\displaystyle \vec{x_1}=km

Now the plane keeps the same speed but now its course is 210° for 1 hour. The components of the velocity are

\displaystyle \vec{v_2}=

\displaystyle \vec{v_2}=km/h

The displacement in 1 hour is

\displaystyle \vec{x_2}=\vec{v_2}.t_2=.(1)

\displaystyle \vec{x_2}=km

The total displacement is the vector sum of both

\displaystyle \vec{x_t}=\vec{x_1}+\vec{x_2}=+

\displaystyle \vec{x_t}=km

\displaystyle \vec{x_t}=

The distance from the airport is the module of the displacement:

\displaystyle |\vec{x_t}|=\sqrt{(-746.41)^2+492.82^2}

\displaystyle |\vec{x_t}|=894.43\ km

8 0
3 years ago
What is the height of a cylinder with a volume of
Inga [223]
12 is the answer

hope this helps!
4 0
2 years ago
Help! 250(1+0.1)^15 = ??
olganol [36]
Using PEMDAS this is the answer I got  1,042.5  :)


6 0
3 years ago
35 POINTS AND BRAINILEST IF ALL CORRECT
Airida [17]

Answer:

See step-by-step explanation

Step-by-step explanation:

Whole numbers are 0,\ 1,\ 2,\ 3,\ 4,\ ...

Integer but not whole numbers are ...,\ -4,\ -3,\ -2,\ -1

Rational numbers are fractions

Irrational numbers are numbers that are not rational

\pi is irrational number

-100 is integer but not whole number

-34 is integer but not whole number

-4 is integer but not whole number

-\dfrac{8}{4} =-2 is integer but not whole number

0.333...=\dfrac{1}{3} is rational number

0.456783...  is irrational number

3 is whole number

9.23456=\dfrac{923,456}{100,000} is rational number

\sqrt{4}=2 is whole number

\sqrt{8}=2\sqrt{2} is irrational number

\dfrac{1}{2} is rational number

\dfrac{49}{7}=7 is whole number

\dfrac{89}{10} is rational number

zero is whole number

4 0
3 years ago
Find the lengths of sides marked with variables (x, y, w, z). Show all work
natita [175]

Answer:

  • 1) 19.07 m, 2) 80.10 ft, 3) 56.79 m

Step-by-step explanation:

Use <u>trigonometry</u> to solve for unknowns.

<h3>1) Use sine</h3>
  • <em>sine = opposite leg / hypotenuse</em>
  • sin 27° = x/42
  • x = 42 sin 27°
  • x = 19.07 m (rounded)

<h3>2) Use tangent</h3>
  • <em>tangent = opposite leg / adjacent leg</em>
  • tan 23° = 34/x
  • x = 34 / tan 23°
  • x = 80.10 ft

<h3>3) Use cosine</h3>
  • <em>cosine = adjacent leg / hypotenuse</em>
  • cos 48° = 38/x
  • x = 38 / cos 48°
  • x = 56.79 m (rounded)

6 0
2 years ago
Read 2 more answers
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