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3 years ago

The ratio of the measures of the three angle in a triangle is 15:8:13. Find the measure of the three angles.

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

6 0

Answer:

a=15x; b=8x; c=13x

180°=a+b+c=15x+8x+13x=36x

=> x=180÷36=5

=> a=15×5=75°; b=8×5=40°; c=13×5=65°

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What is -14n+1=rt-4n, solving for n

Korvikt [17]

Answer: n = -rt/10 + 1/10

Explanation: isolate the variable by dividing each side with the factors that don’t contain n, then isolate n to get this answer.

Hope this helps!

4 0

3 years ago

Consider a set of one-dimensional points: 6, 12, 18, 24, 30, 42, 48.

Vinvika [58]

Answer:

1) With initial centroids 10-40, final clusters are

first cluster (6,12,18,24,30)

second cluster (42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 378

2) With initial centroids 10-20, final clusters are

first cluster (6,12,18,24)

second cluster (30,42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 348

Step-by-step explanation:

K-means works as follows

the points will be clustered according to their distance to the centroids.
Then centroids are updated as the cluster means.
This process continues until clusters doesn't change anymore

1) initial centroids 10-40

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

new centroids 15-40

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

final centroids 18-45

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

Sum of Squared errors = $(18-6)^{2}$ + $(18-12)^{2}$ + $(18-18)^{2}$ + $(18-24)^{2}$ + $(18-30)^{2}$ + $(45-42)^{2}$ + $(45-48)^{2}$ =378

2)initial centroids 10-20

first cluster (6,12) mean:9

second cluster (18,24,30,42,48) mean:32.4

new centroids 9-32.4

first cluster (6,12,18) mean:12

second cluster (24,30,42,48) mean:36

new centroids 12-36

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

final centroids 15-40

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

Sum of Squared errors = $(15-6)^{2}$ + $(15-12)^{2}$ + $(15-18)^{2}$ + $(15-24)^{2}$ + $(40-30)^{2}$ + $(40-42)^{2}$ + $(40-48)^{2}$ =348

6 0

3 years ago

A light year is approximately 6x10 to the power of 12 miles. If a star is 2.4x10 to the power of 13 miles from the Earth, how ma

ruslelena [56]

Answer:

4 light years

Step-by-step explanation:

(2.4·10¹³ miles)/(6·10¹² miles/ly) = 0.4·10¹ ly = 4 light years

The applicable rule of exponents is ...

(a^b)/(a^c) = a^(b-c)

7 0

3 years ago

Give the percent equation AND answer for.......... 89% of what number is 14?

ankoles [38]

Answer:

15.730337078652

Step-by-step e15.730337078652

89 percent (calculated percentage %) of what number equals 14?

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3 years ago

What would you do to find the arc length around 5/8 of a circle?

Andrew [12]

Answer:

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Step-by-step explanation:

First find the circumference of the circle

C = 2 * pi *r

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4 years ago