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3 years ago

The measures of the interior angles of a triangle are in the ratio of 1:2:3. the measure of the largest angle of the triangle is

1 answer:

8 0

The sum of interior angle of a triangle is 180 degrees

largest = 3/(1+2+3) × 180
largest = 3/6 × 180
largest = 90 degrees

The largest angle of the triangle is 90

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Prove identity sin3B+sin5B+sinB/cosB+cos5B+cos3B=tg3B

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

doggy style :)

6 0

3 years ago

Vincent is watching a movie that last one hour and 37 minutes.he has watched 52 minutes so far how many minutes are left in the

Neporo4naja [7]

<h3>given:</h3>

lasts= 1 hour 37 minutes

watched= 52 mins

how many minutes left in the movie.

<h3>solution:</h3>

to find the time left just find the difference.

$52 - 37$

$= 15$

$60 - 15$

$= 45$

therefore, there's 45 mins left in the movie.

6 0

2 years ago

Read 2 more answers

A debate team of 4 members for a high school will be chosen randomly from a potential group of 15 students. Ten of the 15 studen

iragen [17]

Answer:

A) 0.1538

Step-by-step explanation:

4 members are going to be chosen:

M1 - M2 - M3 - M4

We have to find the probability that for each member, one without experience is chosen. There is no replacents.

Initially, we have 15 students, of which 10 have none experience. So the probability that M1 is chosen as a student with no experience is $\frac{10}{15}$ .

Then, there are 14 students, of which 9 have no experience. So the probability that M2 is chosen as a student with no experience is $\frac{9}{14}$ .

For the third member, there are 13 students, of which 8 have no experience. So the probability that M3 is chosen as a student with no experience is $\frac{8}{13}$ .

For the last member, there are 12 students, of which 7 have no experience. So the probability that M4 is chosen as a student with no experience is $\frac{7}{12}$ .

What is the probability that none of the members chosen for the team have any competition experience?

This is

$P = \frac{10}{15}*\frac{9}{14}*\frac{8}{13}*\frac{7}{12} = 0.1538$

The correct answer is:

A) 0.1538

7 0

3 years ago

I don't understand how to do find x and y, please help? thank yous.

pav-90 [236]

#8) There are THREE right-angle (90°) TRIANGLES.

The "big" triangle has legs "x" and "no designation - so lets call it Z" and hypotenuse "4+5" = 9

The "left" triangle has legs "4" and "y" and hypotenuse "x"

The "right" triangle has legs "5" and "y" and hypotenuse "no designation - which we named Z"

Now, you can create a system of equations - you have three unknown variables and can create an equation for each triangle using the Pythagorean Theorem.

Big: x² + Z² = 9² → x² + Z² = 81

Left: 4² + y² = x² → 16 + y² = x² → 16 = x² - y² → x² - y² = 16

Right: 5² + y² = Z² → 25 + y² = Z²

Next, let's eliminate Z by using substitution....use the Right equation to plug Z² into the Big equation to create a NEW Big equation.

NEW Big: x² + (25 + y² ) = 81 → x² + y² = 81 - 25 → x² + y² = 56

Now, we have two unknown variables (x and y) and two equations (NEW Big and Left). Solve the system using any method. I am going to solve using the elimination method)

NEW Big: x² + y² = 56

+ Left: x² - y² = 16

2x² = 72 added the NEW Big and Left equations

x² = 36 divided both sides by 2

x = 6 took square root of both sides (NOTE: -6 is disregarded because we are solving for a length, which cannot be negative)

The last step is to plug the "x" value (that we just solved for) into one of the equations to solve for "y". I am choosing to use the Left equation.

x² - y² = 16

36 - y² = 16

- y² = 16 - 36

- y² = -20

y² = 20

y = √20

y = 2√5

Answer: x = 6, y = 2√5

Try #9 on your own and then check your answers below:

Big: Z² + x² = 12², Left: 3² + y² = Z², Right: y² + 9² = x²

Answer: x = 6√3, y = 3√3

7 0

3 years ago

Which of the following is a polynomial with roots 5, 4i, and −4i?

Leni [432]

(x-4i)(x+4i)=x^2+16
(x^2+16)(x-5)=x^3-5x^2+16x-80
Answer is B

6 0

3 years ago

Read 2 more answers