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nataly862011 [7]
2 years ago
11

In a circle of radius 4 miles, the length of the arc that subtends a central angle of 2 radians is

Mathematics
1 answer:
GaryK [48]2 years ago
7 0
We are tasked to solve for the length of the arc of a circle given a radius of around 4 miles and a central angle that subtends the arc 2 radians. In order to solve for this, we need to use the length of the arc formula given,

s=rΘ

Where r is the radius and Θ is the subtended central angle given in radians
Simply substituting the given in the formula, we get,
s=4mi(2 rad)= 8 miles

Thus, the answer to the question above is 8 miles.
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What is 9% of 42 pls help fast!
joja [24]

Answer:

3.78

Step-by-step explanation:

Percentage solution with steps:

Step 1: We make the assumption that 9 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=9$.

Step 4: In the same vein, $x\%=42$.

Step 5: This gives us a pair of simple equations:

$100\%=9(1)$.

$x\%=42(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{9}{42}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{42}{9}$

$\Rightarrow x=466.67\%$

Therefore, $42$ is $466.67\%$ of $9$.

4 0
3 years ago
Read 2 more answers
Consider parallelogram ABCD. Which of the following transformations will change the perimeter of the parallelogram?
jeka57 [31]

In geometry, transformation involves changing the position and/or size of a shape.

<em>The transformation that will change the size of ABCD is dilation.</em>

There are four transformations in geometry:

  • Translation
  • Reflection
  • Rotation
  • Dilation

Of all types of transformation, dilation will change the size of the shape,

The new shape will either be enlarged or reduced

<em>Either ways, the size of the shape will be altered.</em>

<em>When the size is altered, the perimeter will not remain the same.</em>

<em />

Hence. dilation will change the perimeter of ABCD.

Read more about transformations at:

brainly.com/question/11709244

4 0
2 years ago
What is 834% expressed as a fraction?
svetoff [14.1K]

Answer:

8.34/1

Step-by-step explanation:

5 0
2 years ago
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State when f(x) is increasing , decreasing , concave up , concave down .
Marizza181 [45]

Answer:

f(x) = sec x. tan x

⇔ f(x) = 1/cosx . cosx/sinx

⇔ f(x) = sin x

+) when f(x) is increasing => sin x increases

=> x will increase

+) f(x) is decreasing => x will decrease

+) f(x) is concave up => x ∈ (-pi/2; 0)

+) f(x) concave down => x ∈ (0; pi/2)

Step-by-step explanation:

3 0
2 years ago
I need help with this
WITCHER [35]
What letter? Or all?
7 0
3 years ago
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