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Romashka-Z-Leto [24]
3 years ago
9

Right triangle RST is shown below with the dimensions given in feet

Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

Answer:

As the triangle is right angled ,

sinR = 17/63

Angle R = 15.7⁰

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Sanjay borrowed 7,000 at a simple interest rate of 3% per year. After a certain number of years he had paid $840 in interest alt
alexgriva [62]

Answer:

It was 4 years.

Step-by-step explanation:

To solve this problem we need to use the appropriate formula for simple interest, which is shown below:

M = C*r*t

Where M is the amount of interest, C is the initial amount of money, r is the rate of interest and t is the time elapsed in years. Applying the data from the problem we have:

840 =7000*0.03*t

840 = 210*t

210*t = 840

t = 840/210

t = 4

It was 4 years.

7 0
2 years ago
A car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a constant rate of 10 ft/sec2.
IRISSAK [1]

Answer:

80 feet

Step-by-step explanation:

Given:

Initial speed of the car (v_0) = 40 ft/sec

Deceleration of the car (\frac{dv}{dt}) = -10 ft/sec²

Final speed of the car (v_x) = 0 ft/sec

Let the distance traveled by the car be 'x' at any time 't'. Let 'v' be the velocity at any time 't'.

Now, deceleration means rate of decrease of velocity.

So, \frac{dv}{dt}=-10\ ft/sec^2

Negative sign means the velocity is decreasing with time.

Now, \frac{dv}{dt}=\frac{dv}{dx}(\frac{dx}{dt}) using chain rule of differentiation. Therefore,

\frac{dv}{dx}\cdot\frac{dx}{dt}= -10\\\\But\ \frac{dx}{dt}=v.\ So,\\\\v\frac{dv}{dx}=-10\\\\vdv=-10dx

Integrating both sides under the limit 40 to 0 for 'v' and 0 to 'x' for 'x'. This gives,

\int\limits^0_{40} {v} \, dv=\int\limits^x_0 {-10} \, dx\\\\\left [ \frac{v^2}{2} \right ]_{40}^{0}=-10x\\\\-10x=\frac{0}{2}-\frac{1600}{2}\\\\10x=800\\\\x=\frac{800}{10}=80\ ft

Therefore, the car travels a distance of 80 feet before stopping.

4 0
2 years ago
Please help brainliest giveaway
Vikentia [17]

Answer:

Hey, just here so he can get brainliest, have a nice day!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Can anyone help need help!! :(
AfilCa [17]

Answer:1st option.

Step-by-step explanation:

4 0
3 years ago
can someone help me with these??? I really appreciate it!!! I did one of them already. ( if the first one is wrong can someone p
Anestetic [448]

Answer:

the answer to your questions are below

Step-by-step explanation:

1.-

          x = 3x - 60

        3x - x = 60

            2x = 60

             x = 30

            A = 30

2.-  

        - x + 26 = 2x - 10

       2x + x = 26 + 10

       3x = 36

        x = 36/3

        x = 12

        D =  2(12) - 10

        D = 24 - 10

        D = 14

3.-

    5x + 10 = 7x - 12

   7x - 5x = 10 + 12

          2x = 22

          x = 22/2

          x = 11

4.-   4x + 7 = 5(x - 4)

      4x + 7 = 5x - 20

      5x - 4x = 7 + 20

            x = 27

5.- 6(x - 2) = 3x + 30

    6x - 12 = 3x + 30

    6x - 3x = 30 + 12

           3x = 42

           x = 14

 DHG = 6(14 - 2)

DHG = 6(12)

DHG = 72

7 0
2 years ago
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