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jeka57 [31]
3 years ago
13

A circle with circumference 10 has an arc with a 162 degree central angle. What is the length of the arc

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0
Answer: The length of the is 4.5 cm when the measure of the central angle is 162 degrees.

If the measure of the central angle is 162 degrees, that means that is comprises 45% of the circle. 162 / 360 = 45%

Therefore, the arc is also 45% of the circumference. If we multiply 10 by 45% we get an arc length of 4.5 cm.
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Multiplying 20×1/2 is the same as dividing 20 by 2. Which means the answer is 10.
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6 0
3 years ago
Solve by completing the square<br>3x2 + x - 2 = 0​
DIA [1.3K]

Answer:

x = 2/3 or x = -1

Step-by-step explanation by completing the square:

Solve for x:

3 x^2 + x - 2 = 0

Divide both sides by 3:

x^2 + x/3 - 2/3 = 0

Add 2/3 to both sides:

x^2 + x/3 = 2/3

Add 1/36 to both sides:

x^2 + x/3 + 1/36 = 25/36

Write the left hand side as a square:

(x + 1/6)^2 = 25/36

Take the square root of both sides:

x + 1/6 = 5/6 or x + 1/6 = -5/6

Subtract 1/6 from both sides:

x = 2/3 or x + 1/6 = -5/6

Subtract 1/6 from both sides:

Answer:  x = 2/3 or x = -1

3 0
3 years ago
Find the volume and surface area of this prism.
mina [271]

Answer:

V = 408 cm cubed

SA = 558 cm squared

Step-by-step explanation:

To find the volume of a prism, multiply the area of the base by the height. This is 1/2 times width times height times length.

V =1/2 l*w*h =1/2* 6*8*17 = 408

To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.

Area of the base is A = 1/2 * b*h = 1/2 * 6 * 8 = 24. Since there are 2 bases, the area is 48.

Area of the rectangular side is A = b*h = 17*10 = 170. Since there are three, the area is 3*170 = 510.

The surface area of the prism is 48 + 510 = 558.

8 0
3 years ago
A car's speedometer has a percent error of 5%. The speedometer currently shows that the car is traveling at a speed of 60 mph.
Minchanka [31]

Answer:

The actual speed of the car is either 57 mph or 63 mph

Step-by-step explanation:

Given as :

The measured speed o the car = 60 mph

The percentage error in speedometer = 5 %

Let The actual speed of car = x mph

Now, percentage error = \dfrac{\textrm actual value - \textrm measured value}{\textrm measured value} × 100

So, \frac{5}{100} = \frac{x - 60}{60}

or,  \frac{5}{100} × 60 = x - 60

Or, 3 = x - 60

∴  x = 63 mph

Hence The actual speed of the car is either 57 mph or 63 mph . Answer

8 0
3 years ago
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