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2 years ago

Two of the angles in a triangle measure 154° and 20°. What is the measure of the third angle?

Mathematics

1 answer:

Phoenix [80]2 years ago

7 0

Answer:

6°

Step-by-step explanation:

The angles in a triangle always add up to 180°. Let’s call the third angle x. That means that:

154 + 20 + x = 180 ->

174 + x = 180 ->

x = 180 - 174 ->

x = 6°

Hope that help! :)

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What is 8 divided by 3/5

Umnica [9.8K]

The answer is 40/3

your welcome! :3

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3 years ago

Describe how to write an equation of a line using two points on the line.

CaHeK987 [17]

Answer:

Step-by-step explanation:

Calculate the slope from 2 points.

Substitute either point into the equation. You can use either (3,7) or (5,11)

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Substitute b, -1, into the equation from step 2.

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3 years ago

A manufacturer knows that on average 20% of the electric toasters produced require repairs within 1 year after they are sold. Wh

Effectus [21]

Answer:

(a) The value of x is 5.

(b) The value of y is 15.

Step-by-step explanation:

Let the random variable X represent the number of electric toasters produced that require repairs within 1 year.

And the let the random variable Y represent the number of electric toasters produced that does not require repairs within 1 year.

The probability of the random variables are:

P (X) = 0.20

P (Y) = 1 - P (X) = 1 - 0.20 = 0.80

The event that a randomly selected electric toaster requires repair is independent of the other electric toasters.

A random sample of n = 20 toasters are selected.

The random variable X and Y thus, follows binomial distribution.

The probability mass function of X and Y are:

$P(X=x)={20\choose x}(0.20)^{x}(1-0.20)^{20-x}$

$P(Y=y)={20\choose y}(0.20)^{20-y}(1-0.20)^{y}$

(a)

Compute the value of x such that P (X ≥ x) < 0.50:

$P (X \geq x) < 0.50\\\\1-P(X\leq x-1)$

Use the Binomial table for n = 20 and p = 0.20.

$0.411=\sum\limits^{3}_{x=0}[b(x,20,0.20)]$

The least value of x that satisfies the inequality P (X ≥ x) < 0.50 is:

x - 1 = 4

x = 5

Thus, the value of x is 5.

(b)

Compute the value of y such that P (Y ≥ y) > 0.80:

$P (Y \geq y) >0.80\\\\P(Y\leq 20-y)>0.80\\\\P(Y\leq 20-y)>0.80\\\\\sum\limits^{20-y}_{y=0}[{20\choose y}(0.20)^{20-y}(1-0.20)^{y}]>0.80$

Use the Binomial table for n = 20 and p = 0.20.

$0.630=\sum\limits^{4}_{y=0}[b(y,20,0.20)]$

The least value of y that satisfies the inequality P (Y ≥ y) > 0.80 is:

20 - y = 5

y = 15

Thus, the value of y is 15.

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3 years ago

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Ilia_Sergeevich [38]

It's the formula of the volume of a cone with equal lengths of radius and height.

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3 years ago

Help me solve this question

OLEGan [10]

Consider the first term on the left side.

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Then the sum of the three terms on the left is

$\left(\tan{3A}-\tan{A}\right)+\left(\tan{9A}-\tan{3A}\right)+\left(\tan{27A}-\tan{9A}\right)\\\\=\tan{27A}-\tan{A}\qquad\text{Q.E.D.}$

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3 years ago