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Leto [7]
3 years ago
5

tDan paid the grocery bill of $76.45 with $100. Mistakenly the cashier gave Dan only $13.55 in change. How much more does the ca

shier owe Dan?
Mathematics
1 answer:
adell [148]3 years ago
7 0

The answer would be 10$

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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
A sports tournament has d teams. Each team has 16 players . Using, write an expression for total number of players in the tourna
Vilka [71]

Answer:

16d

Step-by-step explanation:

multiply 16 by d as there are 16 players for each team

8 0
3 years ago
Express 429 as a product of its prime factors​
lawyer [7]

Answer:

The answer is 429 = 3×11×13.

Step-by-step explanation:

You have to divide by prime number :

429 ÷ 3 = 143

143 ÷ 11 = 13

13 ÷ 13 = 1

8 0
3 years ago
Read 2 more answers
Why can 2 obtuse angles make a right triangle please help
djverab [1.8K]
They can NOT.  A right angle is 90°.  An obtuse angle is greater than 90°.  All the angles in a triangle must add up to exactly 180°.  If two angles are greater than 90° then they will add up to greater than 180, beacuse 90 plus 90 equals 180.  You cannot have a triangle with two obtuse angles because they will add up to greater than 180°.
8 0
3 years ago
Front end estimation to 1.409 + 3.512
r-ruslan [8.4K]
About 5 or 4.9 is the estimation
5 0
3 years ago
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