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3 years ago

How do I solve this

Mathematics

1 answer:

Sergio [31]3 years ago

6 0

Answer:

9(c^7)

Step-by-step explanation:

$\frac{ 9c^{3} }{c^{-4} }=\\9c^{3} * c^{4}=\\9c^{7}$

c^-4 is equal to 1/(c^4), so 1/(c^(-4)) is c^4.

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For questions 9 and 11, solve for the remaining angles.

maw [93]

Answer:

‹A = 141°

‹B = 28°

‹C = 11°

*These angles are rounded to the nearest whole*

Step-by-step explanation:

Because you are only given sides you can find an individual angle measures with the inverse law of cosines.

Remember the side opposite of the angle corresponds to that angle.

a² = b² + c² - 2bc cos(A) →

A = cos⁻¹ (a² - b² - c² / -2bc)

b² = a² + c² - 2ac cos(B) →

B = cos⁻¹ (b² - a² - c² / -2ac)

c² = a² + b² - 2ab cos(C) →

C = cos⁻¹ (c² - a² - b² / -2ab)

4 0

3 years ago

the number of diagonals that can be drawn in a opolygon of n sides is 1/2n(n-1)-n. If 230 diagonsaals can be drawn how many side

Vitek1552 [10]

Answer:

n = 20

Step-by-step explanation:

The number of diagonal that can be drawn in a polygon of n sides is given by :

$D=\dfrac{n(n-3)}{2}$

If the number of diagonals are 230, then put D = 230 in above formula. So,

$230=\dfrac{n(n-3)}{2}\\\\460=n^2-3n\\\\n^2-3n-460=0$

It is a quadratic equation, the value of n is equal to 20.

It means that for 230 diagonal, there are 20 sides of the polygon.

7 0

4 years ago

The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

vampirchik [111]

<h2>Question:-</h2>

The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

<h2>Solution:-</h2>

The age of Sita = (x + 5) years.

And, the age of Gautam = x years.

Now,

5 years ago, the ratio of their ages was 3 : 2

$\therefore$ $\bf \frac{3}{2} \: = \frac{x \: + \: 5}{x}$

Now by cross multiplying, we get,

3x = 2(x + 5)

3x = 2x + 10

3x - 2x = 10

Hence, the age of Sita = (x + 5) = (10 + 5) = 15 years.

And, the age of Gautam = x = 10 years.

Now,

The present age of Sita = 15 + 5 = 20 years. (Answer)

And, the present age of Gautam = 10 + 5 = 15 years. (Answer)

4 0

3 years ago

The sum of three numbers which are in tne ratio 2:5:7 is 28 Then the smallest number is --

Alex787 [66]

The smallest number would be 4

the three numbers would be 4, 10, and 14, which would have a sum of 28

7 0

3 years ago

Read 2 more answers

Mrs. Jackson bought 2/3 pound of bananas at $.51 per pound, 1 1/4 pounds of peaches for $2.00 per pound, 1/2 gallon of orange ju

Aleks04 [339]

Answer:

$11.47

Step-by-step explanation:

In order to calculate Mrs.Jackson's total we first need to turn the fractions into decimals by simply dividing the numerator by the denominators like so...

2/3 = 0.66

1 1/4 = 1.25

1/2 = 0.50

Now we need to multiply each products cost by the amount they bought in decimal form, then finally add them all together...

($0.51 * 0.66) + ($2 * 1.25) + ($4.50 * 0.50) + ($3.19 * 2) = x

0.34 + 2.5 + 2.25 + 6.38 = x

$11.47 = x

Finally, we can see that Mrs. Jackson's total was $11.47

6 0

3 years ago

Read 2 more answers