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3 years ago

The ratios of the angles in ABC is 3:5:7. Find the measure of the angles

Mathematics

1 answer:

zepelin [54]3 years ago

4 0

Answer:

Step-by-step explanation:

If the ratio of triangle = 3:5:7

Total ratio = 3+5+7 = 15

The sum of angle in a triangle is 180°

1st angle= 3/15× 180 = 3 × 12 = 36°

2nd angle= 5/15 × 180 = 5 × 12 = 60°

3rd angle= 7/15 × 180 = 7 × 12 = 84°

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In school ,there are 3 girls for every 2 boys . There are 650 students in total . How many students are girls

EastWind [94]

Answer:

390 girls.

Step-by-step explanation:

$\frac{3}{5}$ of 650 is 390.

6 0

3 years ago

A large bag contains 12/15 pound of granola.How many 1/3 pound bags can be filled with this amoumt of granola?How much granola i

mylen [45]

1/3 is 5/15 so you can fill 5/15 +5/15 (2bags) and you will have 2/15 pounds left

5 0

3 years ago

Read 2 more answers

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar

erma4kov [3.2K]

Answer:

$\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

Step-by-step explanation:

Given

5 tuples implies that:

$n = 5$

$(h,i,j,k,m)$ implies that:

$r = 5$

Required

How many 5-tuples of integers $(h, i, j, k,m)$ are there such that $n\ge h\ge i\ge j\ge k\ge m\ge 1$

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

$^{n}C_r => ^{n + 4}C_5$

$^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}$

$^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}$

Expand the numerator

$^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

<u><em>Solved</em></u>

6 0

3 years ago

to exercises 4.141 and 4.137. suppose that y is uniformly distributed on the interval (0, 1) and that a > 0 is a constant. a

Elis [28]

The moment-generating function for y is given as eⁿᵇ - eⁿᵃ / n(b-a) and derivation of moment-generating function of y is e-1/t

Given that,

The interval (0, 1) is covered by a uniform distribution of y, and a > 0 is a constant.

The moment generating function is eⁿᵇ - eⁿᵃ / n(b-a)

The given interval is (0,1)

Here a =0;

b=1;

Now substitute the values of a and b in the above moment generating function we get,

y=eⁿᵇ - eⁿᵃ / n(b-a)

y=e^1-e^0/t(1-0)

y= e-1/t

Therefore, the derivation of the moment generating function is e-1/t

Learn more about moment-generating function here:

brainly.com/question/15061360

#SPJ4

6 0

1 year ago

Find the value of each variable in the parallelogram. Round your answers to the nearest tenth, if necessary.

lilavasa [31]

Answer:

z = 2

y = 5

Step-by-step explanation:

3 0

2 years ago