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3 years ago

Can the sides of a triangle have lengths 3, 16, and 19?

2 answers:

8 0

The answer is no. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third.

weeeeeb [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Because you have to add the smallest ones which are 3 and 16 if u add them up it = 19 and you cant have 19 , 19 you have to have the smallest numbers ADD UP Greater Than the biggest number, when its equal to itself it doesn't form a triangle because the lengths are short by 1 please tell me if u need more help

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WHAT IS THISDSSSSSSSSSSSSSSSSSSS

MaRussiya [10]

Answer:

Step-by-step explanation:

Yes, it is. The set of rational numbers is closed for all the four operations, so x+y, x-y, x*y and x/y are rational too. And it is easy to demonstrate. A rational number can be expressed as a fraction of two integers. So, x can be expressed as a/b and y as c/d. Hence x+y = a/b + c/d = (ad+bc)/bd, which, as fraction of two integers, is rational.

8 0

3 years ago

A manufacturer of piston rings for automobile engines frequently tests the width of the rings for quality control. Last week, a

kozerog [31]

Answer:

a) 74.0353 < u < 74.0367

b) 74.036 < u

Step-by-step explanation:

Given:

- Sample size n = 15

- Standard deviation s.d = 0.0001 in

- Sample mean x_bar = 74.036

Find:

A) Calculate the 99% two-sided confidence interval on the true mean piston diameter.

Solution:

- For 99% CI, We have a = 0.01 , and Z_a/2 = 2.58

------> (x_bar - Z_a/2*s.d / sqrt(n)) < u < (x_bar + Z_a/2*s.d / sqrt(n))

------> (74.036 - 2.58*0.0001 / sqrt(15)) < u < (74.036 + 2.58*0.0001 / sqrt(15))

------> 74.0353 < u < 74.0367

Find:

B) Calculate the 95% one-sided lower confidence interval on the true mean piston diameter.

Solution:

- For 95% lower CI, We have a = 0.05 , and Z_a = 1.645

------> (x_bar - Z_a/2*s.d / sqrt(n)) < u

------> (74.036 - 1.645*0.0001 / sqrt(15)) < u

------> 74.036 < u

5 0

4 years ago

1.) The grade 6 class harvested 3 44 kg of tomatoes, 53 kg of eggplants and 2 42 kg of green pepper from their "Gulayan sa Paara

Zinaida [17]

Answer:

649 kg of vegetables

Step-by-step explanation:

What is asked?

The total number of vegetables planted

The given facts?

$Tomatoes= 344kg$

$Eggplants =53kg$

$Green\ pepper =242kg$

The operation to be used?

The addition operation

The number sentence?

$344 + 53 + 242$

The answer?

$344 + 53 + 242 =639$

5 0

3 years ago

Let f(x)=−12(x+2)2+5 . What is the average rate of change for the quadratic function from x=−3 to x = 1?

aev [14]

Answer:

Average rate of change = -6

Step-by-step explanation:

The average rate of change over the interval (a,b) is given by;

[ f(b) - f(a)] / (b-a)........................where interval is (a,b)

(a,b) interval =(-3,1)

Where;

f(x)= -12 (x+2)² +5

$f(a)=f(-3)=-12(-3+2)^2+5\\f(a)=f(-3)=-12(-1)^2+5\\f(a)=f(-3)=-12(1)+5\\=-12+5=-7\\\\\\f(b)=f(1)=-12(1+2)+5\\f(b)=f(1)=-12(3)+5\\=-36+5=-31\\\\f(b)-f(a)=-31--7=-24\\\\b-a=1--3=4\\\\f(b)-f(a)/b-a=\frac{-24}{4} =-6$

5 0

3 years ago

Need help ASAP!!!!!!

chubhunter [2.5K]

Answer:

Step-by-step explanation:

5 0

3 years ago