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3 years ago

What is the measure of 0 in radians?

Mathematics

1 answer:

Allushta [10]3 years ago

3 0

Answer:

Thus, the expression to find the measure of θ in radians is θ = π÷3

Step-by-step explanation:

Given that the radius of the circle is 3 units.

The arc length is π.

The central angle is θ.

We need to determine the expression to find the measure of θ in radians.

Expression to find the measure of θ in radians:

The expression can be determined using the formula,

where S is the arc length, r is the radius and θ is the central angle in radians.

Substituting S = π and r = 3, we get;

Dividing both sides of the equation by 3, we get;

You might be interested in

What is the sum of 9/10+8/100

ArbitrLikvidat [17]

9/10 + 8/100

9/10 + 2×4/25×4

Common denominator is 50.

9/10 + 2/25.

5×9/5×10 + 2×2/2×25

45/50 + 4/50

= 49/50

6 0

3 years ago

Read 2 more answers

Jose left the White House and drove toward the recycling plant at an average speed of 40 km/h. Rob left some time later driving

Aleks04 [339]

Let $x$ represent Jose's drived distance and $y$ represent Rob's.
So what you need to do is to solve the equation:
$40x=48*5$
$40x=240$
$x=240/40=6$

So Jose drove for 6 hours before Rob caught him.

4 0

3 years ago

Is x - 8 a factor of the function f(x) = -2x3 + 17x2 - 64? Explain.

Oduvanchick [21]

we know that

If $(x-8)$ is a factor of the function $f(x)=-2x^{3}+17x^{2}-64$

then

$x=8$ is a root of the function f(x)

therefore

For $x=8$ the value of the function must be zero

Verify

Substitute the value of $x=8$ in the function

$f(8)=-2(8)^{3}+17(8)^{2}-64$

$f(8)=-2(512)+17(64)-64$

$f(8)=-1,024+1,088-64$

$f(8)=-1,088+1,088$

$f(8)=0$

therefore

<u>the answer is</u>

Yes, $(x-8)$ is a factor of the function f(x)

7 0

3 years ago

Read 2 more answers

(x2 - 4x + 3) + (3x2 – 3x - 5)

tatyana61 [14]

Answer:

(x - 2) • (4x + 1)

Step-by-step explanation:

3 0

2 years ago

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to

Elodia [21]

Answer:

The price of rice per gram is 0.006$

Step-by-step explanation:

I. David wants to make 10 servings,

each require 75 g of rice and 5 spice. When ratio is 15:1

If rice : spice = 75 : x

15x = 75

x = 5

=> 5 * 15 : 1 * 5

= 75 : 5

So rice : spice is 75 : 5

II. When 1 serving require 75 : 5

So 10 servings is 10 * 75 : 5 * 10

= 750 : 50

So he must has 750 grams rice and 50 grams spice.

III. He must buy spice and rice which..

a) He has 40 grams spice, he'll buy for 10 grams spice.

b) He has no rice, he'll buy for 750 grams rice.

But the question only ask for price of rice which he spend 4.5$

= $\frac{4.5}{750}$

= 0.006$

In 1 gram of rice he spend 0.006$

If 750 grams of rice, he'll spend 750 * 0.006$ = 4.5$ => true

That makes 0.006$ is the right answer.

Hope that help :)

8 0

2 years ago