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3 years ago

What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5:3?

2 answers:

7 0

<span>Since the value of k can be determined by </span>dividing the numerator of the original ratio, which is 5, by the sum of the numerator and denominator of the ratio:<span>
(5+3)=8

Thus the value for k = 5/8

</span>

Goryan [66]3 years ago

7 0

Answer:

$\frac{5}{8}$

Step-by-step explanation:

We are asked to find the value of k used to determine the coordinates of a point that partitions a segment into a ratio of 5:3.

The value of k would be 5 divided by the sum of 5 and 3.

$k=\frac{5}{3+5}$

$k=\frac{5}{8}$

Therefore, the value of k is $\frac{5}{8}$ .

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Which is the closest approximation to the area of the circle?

Bad White [126]

<span>area of square = pi r^2 3.14 * 13 *13 =530.66 =531 A</span>

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3 years ago

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In ∆XYZ, m∠X = 152, y = 15, and z = 19. Find side x and the measure of angle Y to the nearest tenth

solong [7]

The measure of the side $x$ is approximately 33 and the measure of angle $Y$ is approximately 12.321°.

<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>

In this problem we must apply the law of cosine and the law of sine to determine the angle Y:

<h3>Law of cosine</h3>

$x = \sqrt{y^{2}+z^{2}-2\cdot y\cdot z\cdot \cos X}$

$x = \sqrt{15^{2}+19^{2}-2\cdot (15)\cdot (19)\cdot \cos 152^{\circ}}$

$x \approx 33$

$\frac{\sin Y}{y} = \frac{\sin X}{x}$

$Y = \sin^{-1}\left(\frac{y}{x}\cdot \sin X \right)$

$Y = \sin^{-1}\left(\frac{15}{33}\cdot \sin 152^{\circ} \right)$

$Y \approx 12.321^{\circ}$

The measure of the side $x$ is approximately 33 and the measure of angle $Y$ is approximately 12.321°. $\blacksquare$

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2 years ago

Hannah can paint a room in 20 hours. Destiny can paint the same room in 16 hours. How long does it take for both Hannah and Dest

UNO [17]

Amount of room hannah can paint in an hour = 1/20
amount of room destiny can paint in an hour = 1/16
number of hours = x

1/20x + 1/16x = 1
the reason why this formula is true is, the amount of the room painted in the end should be 1 (the whole room)

4/80x + 5/80x = 1
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3 years ago

A restaurant offers a special pizza with any 4 toppings. If the restaurant has 15 topping from which to choose, how many differe

OlgaM077 [116]

Answer: 1,365 possible special pizzas

Step-by-step explanation:

For the first topping, there are 15 possibilities, for the second topping, there are 14 possibilities, for the third topping, there are 13 possibilities, and for the fourth topping, there are 12 possibilities. This is how you find the number of possible ways.

15 * 14 * 13 * 12 = 32,760

Now, you need to divide that by the number of toppings you are allowed to add each time you add a topping.

4 * 3 * 2 * 1 = 24

32,760 / 24 = 1,365

There are 1,365 possible special pizzas

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3 years ago

How to factor 4x^2+24x+27

fomenos

Answer:

(2 x + 3) (2 x + 9)

Step-by-step explanation:

Factor the following:

4 x^2 + 24 x + 27

Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):

9 (2 x + 3) + 2 x (2 x + 3)

Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):

Answer: (2 x + 3) (2 x + 9)

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3 years ago