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Alona [7]
3 years ago
14

What is the radius if: 16. n=30 L=1/3xy(pi)

Mathematics
1 answer:
Paraphin [41]3 years ago
8 0
What is the MA of a 1st class lever?It can be any number > 0.What is the MA of a 2nd class lever?Always > 1What is the MA of a 3rd class lever?Always < 1 (it has to be > 0)A 58-tooth gear turns five times. It is connected to a 16-tooth gear. How many times does the 16-tooth gear turn?<span>TONO = TINI
TO = TINI ÷ NO
= 5 turns . 58 teeth ÷ 16 teeth
= 18.13 turns</span>A ramp with a mechanical advantage of 6.75 lifts objects to a height of 2.45 meters. How long is the ramp?<span>L = MAxH
= 6.75 . 2.45 m
= 16.54 m</span>A 65-tooth output gear is connected to a 24-tooth input gear. What is the MA of this system? Is force or speed multiplied?<span>MA = No ÷ Ni
= 65 teeth ÷ 24 teeth
= 2.71
Force is multiplied since MA > 1</span>A ramp that is 13.2 meters long is used to lift a 755 newton box up to a height of 1.11 meters. What is the MA of the ramp?<span>MA = L ÷ H
= 13.2 m ÷ 1.11 m
= 11.89</span>A lever can lift a 358 newton rock with a force of 93 newtons. If the length of the output arm is 1.45 meters, what is the length of the input arm?<span>MA = OF ÷ IF
= 358 N ÷ 93 N
= 3.85
IA = MAxOA
= 3.85 . 1.45 m
= 5.58 m</span>List the 7 types of simple machinesLever, pulley, wheel & axle, screw, wedge, ramp, gearDraw a pulley system with an MA of 3Look at the middle pictureDraw 2 different ramps. Mark the one with a greater MA with a star. How do you know it has the greatest MA?A has the greatest mechanical advantage since it is the most gently sloped. The steeper it is, the more force you have to apply, and the less MA it has.A machine is required to produce an output force of 1,357 newtons. If the machine has a mechanical advantage of 5.5, what input force must be applied to the machine?<span>IF = OF ÷ MA
= 1,357 N ÷ 5.5
= 246.73 N</span>What is the mechanical advantage of a wheel if the radius of the wheel is 34.95 cm and the radius of the axle is 8.2 cm?<span>MA = WR ÷ AR
= 34.95 cm ÷ 8.2 cm
= 4.26</span>What does MA tell you?MA tells you how much your input force is multiplied. It tells you how "easy" your task is. Remember you must trade less force for greater distanceWhich is greater, work output or work input? Why?Work input is greater due to FRICTION!An output gear turns 15 times. How many times will the input gear turn if the gear ratio is 30?<span>Ti = To ÷ GR
= 15 turns ÷ 30
= 0.50 turns</span><span>
</span>
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Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $5.20 per pound, and t
MAXImum [283]

Answer:

78 pounds

Step-by-step explanation:

Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:

a + b = 130

We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:

5.20a + 4.05b = 586.30

We can now solve the system of equations:

a + b = 130

5.20a + 4.05b = 586.30

Manipulate the first equation by subtracting b from both sides:

a + b = 130

a = 130 - b

Substitute 130 - b for a in the second equation:

5.20a + 4.05b = 586.30

5.20 * (130 - b) + 4.05b = 586.30

676 - 5.20b + 4.05b = 586.30

Move the terms with b to one side:

1.15b = 89.70

b = 78

Thus, Yolanda used 78 pounds of Type B coffee.

<em>~ an aesthetics lover</em>

7 0
3 years ago
B) If fencing costs $2.50/yd, determine the<br> costs of building the fence.
siniylev [52]
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8 0
3 years ago
The sum of all but one interior angle of a heptagon is 776°. The final angle must have a measure of
shutvik [7]
A heptagon has 7 sides.

Sum of all interior angles = (7 - 2) x 180 = 900°

900 - 776 = 124°

Answer: The final angle must be 124°
5 0
3 years ago
Read 2 more answers
A gardener makes a new circular flower bed. The bed is teen feet in diameter. Calculate the circumference and the area of the ci
KATRIN_1 [288]

Answer:

I. Circumference of circular flower bed = 31.42 ft.

II. Area of circular flower bed = 78.55 ft²

Step-by-step explanation:

Given the following data;

Diameter = 10 ft

Radius = diameter/2

Radius = 10/2

Radius, r = 5 ft

I. To find the circumference of the circular flower bed;

Circumference of circle = 2πr

Substituting into the formula, we have

Circumference of circular flower bed = 2*3.142*5

Circumference of circular flower bed = 31.42 ft

II. To find the area;

Area of circle = πr²

Substituting into the formula, we have;

Area of circular flower bed = 3.142*5²

Area of circular flower bed = 3.142*25

Area of circular flower bed = 78.55 ft²

8 0
3 years ago
Consider the formula for the slope between two coordinate points, m, shown below. Which of the following equations is equivalent
o-na [289]

Answer:

Answer is A

Step-by-step explanation:

m = y2 - y1 \div x2 - x1 \\  y2 = m(x2 - x1) + y1

6 0
3 years ago
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