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3 years ago

A table top is made of circular glass what is the circumference of the table if it has a radius of 21 cm?

Mathematics

1 answer:

Fantom [35]3 years ago

5 0

Answer:

131.95cm

Step-by-step explanation:

Circumference of a circle is 2 × pi × r

= 2 × pi × 21

= 131.95 cm

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

Naddika [18.5K]

Answer:

The rocket will hit the ground after about 8.20 seconds.

Step-by-step explanation:

The height of the rocket y, in feet, x seconds after launch is modeled by the equation:

$y=-16x^2+121x+83$

We want to find the time at which the rocket will hit the ground.

If it hits the ground, the height of the rocket y will be 0. Thus:

$0=-16x^2+121x+83$

We can solve for x. Factoring (if possible at all) or completing the square can be tedious, so we can use the quadratic formula:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a = -16, b = 121, and c = 83. Substitute:

$\displaystyle x=\frac{-(121)\pm\sqrt{(121)^2-4(-16)(83)}}{2(-16)}$

Simplify:

$\displaystyle x=\frac{-121\pm\sqrt{19953}}{-32}$

Divide everything by -1 and simplify the square root. The plus/minus will remain unchanged:

$\displaystyle x=\frac{121\pm3\sqrt{2217}}{32}$

Therefore, our two solutions are:

$\displaystyle x=\frac{121+3\sqrt{2217}}{32}\approx 8.20\text{ or } x=\frac{121-3\sqrt{2217}}{32}\approx -0.63$

Since time cannot be negative, we can ignore the second solution.

Therefore, the rocket will hit the ground after about 8.20 seconds.

7 0

3 years ago

Divya wants to rent a car to drive for the weekend. The rental company has a special that allows her to rent it for $200 for the

adelina 88 [10]

Answer:

$200 + 0.07m \leq 230$

A maximum of $\approx$ 428 miles is the distance what Divya can travel.

Step-by-step explanation:

Given that:

Rent to be paid for the car in the weekend = $200

Charges to be paid per mile = $0.07

Total money available with Divya = $230

To find:

The inequality as per her limitations and solution to the problem.

Solution:

Let the number of miles for which Divya can drive = $m$ miles

Charges for one mile = $0.07

Charges for $m$ miles = $0.07 $m$

Total charges for renting and $m$ miles = Rental charges + Operational charges

Total charges for renting and $m$ miles = $200 + $0.07 $m$

These are charges must be lesser than equal to the amount of money available with Divya.

Therefore, we can write:

$200 + 0.07m \leq 230$

Subtracting 200 from both the sides:

$0.07m \leq 30$

Dividing both sides with 0.07:

$m \leq \dfrac{30}{0.07}\\m\leq 428.6$

Therefore, a maximum of $\approx$ 428 miles is the distance what Divya can travel.

8 0

3 years ago

Solve the equation. -5x + 2 = 67

masya89 [10]

The answer is x=-13
I hope the answer helps!

7 0

3 years ago

3(x + 2) + x = 2x + 16

algol [13]

Answer:Polynomial equation solver

Standard form:

2x − 10 = 0

Factorization:

2(x − 5) = 0

Solutions:

x = 10

= 5

-5

-20

-10

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I will give brainiest to whoever answers correctly !!

Vadim26 [7]

Answer:
(a) the interest is $6384

Hope this helps!

8 0

3 years ago