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Talja [164]
3 years ago
12

Find the arc length on a circle with radius =4 inches and central angle of 30°

Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

Step-by-step explanation:

I'm assuming you're not doing the pre-calculus version of this equation where your angle is in radians. So we'll do the Geometry version which looks like this:

AL=\frac{\theta}{360}*2\pi r

Our angle is 30 and our radius is 4, so we fill in accordingly:

AL=\frac{30}{360}*2(3.1415)(4) (this is if you multiply in pi. We'll find the answer in terms of pi as well).

AL = \frac{1}{12}*25.132 and

AL = 2.09433 inches

In terms of pi, the answer would be

AL = \frac{2}{3}\pi inches

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What is the value of x? circle the correct answer of 23x=115 .x=7 or x=5
VashaNatasha [74]
23x = 115

just divide and you get that x = 5
5 0
3 years ago
(X+2)(x+2) if necessary combine like terms
Naddik [55]

Answer:

x^2 + 4x + 4

Step-by-step explanation:

<u>Step 1:  FOIL </u>

<u />(x + 2)(x + 2)

(x * x) + (x * 2) + (2 * x) + (2 * 2)

x^2 + 2x + 2x + 4

x^2 + 4x + 4

Answer:  x^2 + 4x + 4

7 0
3 years ago
Read 2 more answers
The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls
kumpel [21]

Answer:

standard error = 1.63

Step-by-step explanation:

To calculate the standard error we need to know the standard deviation (σ) and the sample size (n) (see the attached formula).

To obtain the standard deviation we use the given sample variance of 77.4 years:

σ²= variance

Therefore:

σ = √77.4 = 8.8

Now we can calcuate the estimated standard error:

standard error = σ /√n = 8.8/√29 = 1.63

The standard error gives us an estimation about how far the mean of the sample is from the mean of the entire population, and in this case is 1.63.

7 0
3 years ago
Which of the following is equivalent to 34 · 3-2?
saw5 [17]
34 multiplied by 3 is 102, subtract 2 and your answer is 100.
8 0
3 years ago
LMNO is a parallelogram, with and . Which statements are true about parallelogram LMNO? Select three options.
Soloha48 [4]

In the parallelogram, m∠M is equal to m∠O, and the sum of m∠M and

m∠N is 180°.

Response:

The true statements are;

  • <u>x = 11°</u>
  • <u>m∠N = 59°</u>
  • <u>m∠O = 121°</u>

<h3>Which property of parallelogram are used to find the true statements?</h3>

The possible drawing of the parallelogram LMNO created with MS Visio is attached.

From the drawing, we have;

m∠M = 11·x

m∠N = 6·x - 7

The properties of a parallelogram are;

Opposite angles are equal.

Adjacent angles are supplementary

Which gives;

11·x + 6·x - 7 = 180°

17·x = (180 + 7)° = 187°

x = \mathbf{\dfrac{187^{\circ}}{17} }= 11^{\circ}

m∠M = 11 × 11° = 121° = m∠O

m∠N = 6 × 11° - 7 = 59° = m∠L

Therefore;

The statements that are true are;

  • x = 11°
  • m∠N = 59°
  • m∠O = 121°

Learn more about the properties of a parallelogram here:

brainly.com/question/7697302

7 0
2 years ago
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