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Bad White [126]
3 years ago
9

Deon plans to ride a 20-mi bicycle trail. If his average speed is 10 mi/h, how many hours will the ride take? Part 1: Solve the

distance formula, d=rt d = r t , for t.
Mathematics
1 answer:
pentagon [3]3 years ago
7 0

Answer:

The ride will take 2 h

Step-by-step explanation:

From the question,

Deon plans to ride a 20-mi bicycle trail, that is the total distance he plans to cover is 20-mi

Distance, d = 20 mi

Also, his average speed is 10 mi/h

rate of speed, r = 10 mi/h

To determine how many hours the ride will take,

From the formula,

d = rt

where

d is the distance covered

r is the average rate of speed

and t is the time.

We can solve for t, such

d = rt becomes

t = d/r

Now, from the question

d = 20 mi

r = 10 mi/h

∴ t = (20 mi) / (10 mi/h)

t = 2 h

Hence, the ride will take 2 h (hours)

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After 5 years, a $2,450 investment is worth $3,123.75.
kondaur [170]

Answer:

5.5%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

r=\frac{I}{Pt}

<em>I = interest amount</em>

<em>P = principal amount</em>

<em>t = time (years)</em>

<em />

The first step is to find the interest gained from the investment.

3,123.75-2,450=673.75

Next, plug in the values into the equation:

r=\frac{673.75}{(2,450)(5)}     Multiply the bottom values

r=\frac{673.75}{12,550}         Divide the values

r=.055

The last step is to convert 0.055 into a percent:

0.055(100)=5.5

The interest rate is 5.5%

3 0
3 years ago
Find the area of a circle with a diameter of six. Either enter an exact answer in terms of pie or use 3.14 for pie and enter you
miss Akunina [59]

Answer:

The area of the circle is 28.26

The area of the circle in terms of pi is 9π

Step-by-step explanation:

radius = half of diameter

d = 6

r = 6/2 = 3

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 3

π = pi

a = π * r²

we replace with the known values

a = π * (3)²

a = π * 9

a = 9π

The area of the circle in terms of pi is 9π

9 * 3.14 = 28.26

The area of the circle is 28.26

4 0
3 years ago
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1 and the given zeros for
timama [110]
The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,

3² + b(3) + c = 0
3b + c = -9 --> eqn 1

(5 + √5)² + (5 +√5)(b) + c = 0
(5+√5)b + c = -30-10√5 --> eqn 2

Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
(-2 - √5)b = 21 + 10√5
b = -8 - √5

Using eqn 1,
3(-8 - √5) + c = -9
-24 - 3√5 + c = -9
c = -9 + 24 + 3√5
c = 15 + 3√5

Hence, the polynomial is: <em>f(x) = x² + (-8 - √5)x + (15 + 3√5)</em>.
7 0
3 years ago
A rocket generates a net force (F) of 2,050,000 newtons, and the rocket mass (m) is 40,000 kilograms
SVEN [57.7K]

From the given equation above, F = ma, acceleration may be calculated by slightly modifying the equation into a = F / m. Substituting the known values for force and mass,

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Thus, the acceleration achieved is 51.25 m/s².

6 0
2 years ago
Which of the following side-angle relationships in △ABC are true? Select all that apply.
GarryVolchara [31]
I think its B and D the smallest angle is opposite the small side and the largest angle is opposite the largest side
3 0
3 years ago
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