All categories

3 years ago

GEOMETRY HELP URGENT?

Mathematics

1 answer:

nadezda [96]3 years ago

6 0

Let the centre be O and the line with one end point at the centre and another at the chord CD touches the chord at S .

So CS is the half of 36.7 = 18.35

$sin \angle COS = \frac{18.75}{21.8}$

$\angle COS = sin^{-1}(\frac{18.75}{21.8}) =59.35 degree\\$

Therefore,

$\angle COD =2*59.35 =118.7$

Therefore the measurement of arc CD is 118.7 degree.

You might be interested in

Simplify (9x^3-4x+10)+(x^3+10x-9)

Alex

Simplify

9x^3 - 4x + 10 + x^3 + 10x - 9

Collect like terms

(9x^3 + x^3) + (-4x + 10x) + (10 - 9)

Simplify

6 0

3 years ago

The volume of a shampoo filled into a container is uniformly distributed between 370 and 385 milliliters. (a) What are the mean

Olenka [21]

Answer:

(a) mean = 377.5ml. standard deviation = 4.33

(b) 0.333

Step-by-step explanation:

(a)The mean:

$\mu = \frac{385 + 370}{2} = 377.5 ml$

The standard deviation:

$\sigma = \frac{385 - 370}{\sqrt{12}} = 4.33$

(b)

$P(x < 375) = \frac{375 - 370}{385 - 370} = \frac{1}{3} \approx 0.333$

(c)P(x > m) = 0.95

$\frac{m - 370}{385 - 370} = 0.95$

$m - 370 = 14.25$

$m = 384.25ml$

So the volumn of shampoo should be 384.25ml to exceed 95% of containers.

7 0

3 years ago

Noel has rowing lessons every 5 days and guitar lessons every 6 days. If he had both lessons on the last day of the previous mon

bixtya [17]

Answer:

Since every 30 days he wil have both lessons on the same day , and he already had both lessons on the last day of the previous month, that means that the day 30 the current month he wil have both lessons on the same day (It may be the last day if the month has 30 days or it may not be the last day if the month has 31 days)

Step-by-step explanation:

Lets find the least common factor of 5 and 6

Multiples of 5

5 10 15 20 35 30 35 40......

Multiples of 6

6 12 18 24 30 36

LCF of 5 and 6 = 30

Every 30 days he wil have both lessons on the same day

3 0

3 years ago

Explain how to find the product 3^5 x 3^2 using rules for exponents.

AlekseyPX

Step-by-step explanation:

$\because \: {a}^{m} \times {a}^{n} = {a}^{m + n} \\ \\ \therefore \: {3}^{5} \times {3}^{2} = {3}^{5 + 3} = {3}^{8} = 6,561 \\$

7 0

3 years ago

What is the value of x if x/ 3 + 1 = -2 ?

Serga [27]

<h2>Answer:</h2><h3>x = -9</h3>

<h2>Step-by-step explanation:</h2>

<h3><u>Step 1</u>: Simplify both sides of the equation.</h3><h3 /><h3>1/3x+1=−2</h3><h3 /><h3><u>Step 2</u>: Subtract 1 from both sides.</h3><h3 /><h3>1/3x+1−1=−2−1</h3><h3 /><h3>1/3x=−3</h3><h3 /><h3><u>Step 3</u>: Multiply both sides by 3.</h3><h3 /><h3>3*(1/3x)=(3)*(−3)</h3><h3 /><h3>x=−9</h3>

8 0

3 years ago