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pishuonlain [190]
2 years ago
7

A circle has a radius of 17cm. Find the radian measure of the central angle θ that intercepts an arc of length 5cm.

Mathematics
2 answers:
mrs_skeptik [129]2 years ago
8 0
Use Pie the method we all learned i really can’t remember but i think it’s 3.14
Vesnalui [34]2 years ago
8 0

Answer:

3.14 PIE

Step-by-step explanation:

Use Pie the method we all learned I think it’s 3.14

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A spherical hot-air balloon has a diameter of 55 feet. When the balloon is inflated, the radius increases at a rate of 1.5 feet
abruzzese [7]

Answer:

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume is approximately 46.90 minutes

Step-by-step explanation:

The given parameters are;

The diameter of  the balloon  = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet per minute

We have;

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

The maximum volume of the balloon = 4/3 × 3.14 × 55³ = 696556.67 ft³

When the volume is two-thirds the maximum volume, we have;

2/3 × 696556.67 ft³ = 464371.11 ft³

The value of the radius, r₂ at that point is found as follows;

4/3·π·r₂³ = 464371.11 ft³

r₂³ = 464371.11 ft³ × 3/4 = 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the above length ≈ 70.369 ft/(1.5 ft/min) ≈ 46.90 minutes

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume ≈ 46.90 minutes.

4 0
3 years ago
Help lol the question is on the picture please help!
valina [46]

here u go, remember the ratio

7 0
3 years ago
Given: 2x^2+3x-5, g(x)=x+9. Find: (fg)(3)
Svetradugi [14.3K]

Answer:

264

Step-by-step explanation:

f(x)=2x^2+3x-5

g(x)=x+9

(fg)(x)=f(x) \times g(x)

\implies (fg)(x)=(2x^2+3x-5)(x+9)

(fg)(3)=(2(3)^2+3(3)-5)(3+9)

\implies (fg)(3)=22 \times 12

\implies (fg)(3)=264

8 0
2 years ago
What is 10,000,000 + 700,000,000 + 2,000,000 + 9,000 + 4 + 400,000 + 10,000 + 70 + 700 in standard form?
Katyanochek1 [597]
<h3>10,000,000+700,000,000+2,000,000+9,000+4+</h3><h3>400,000+10,000+70+700</h3><h3>=712419774</h3>

please mark this answer as brainlist

8 0
2 years ago
You want to calculate the value of your car each year when it depreciates by 15%. What does the term y mean in the exponential f
insens350 [35]

Answer:

Value of the car after x years

Step-by-step explanation:

Exponential functions are generally expressed in the form: y=a(b)^x and since this function is decreasing, meaning it has an exponential decay, it can be expressed as: y=a(1-r)^x where r=rate of decay.

In this case the a represents the initial value or y-intercept, since when x=0, (1-r)^0 = 1, so we just have y=a(1) or y=a

The r represents the rate of decay

the x usually represents the time in seconds, days, months, or whatever unit is being used

The y value represents the value of whatever your measuring, and in this context it represents the value of the car after x years.

This is because a represents the initial value

After one year it's only 85% worth it's initial value or 15% less which is represented as 0.85(a)

After two years it's only 85% worth the previous year or 15% less the previous year, which is represented as 0.85(0.85(a))

This will continue to decrease the number of years increase

4 0
1 year ago
Read 2 more answers
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