All categories

3 years ago

Which set of sides will make a triangle? -Middle School math-

Mathematics

2 answers:

belka [17]3 years ago

5 0

Answer: 10 cm, 5 cm, 9 cm

In order to make a triangle, the sum of the two shorter side lengths must be greater than the length of the longest side.

5, 2, 3 ⇒ 5 = 5 ⇒ not a triangle
1, 3, 1 ⇒ 2 < 3 ⇒ not a triangle
10, 3, 4 ⇒ 7 < 10 ⇒ not a triangle

trasher [3.6K]3 years ago

3 0

Hey there!

The biggest side in the set of 3 lengths needs to be lower than the sum of the two lower numbers. So 3 is not lower than 1+1. 10 is not less than 3+4. 5 is the same as 3+2. This is not possible because this makes a line. So the biggest side can’t equal the sum of the two lower sides. 10 is less than 5+9. So the answer would be the last one. 10 cm, 5 cm, 9 cm.

I hope this helps!

You might be interested in

What is the value of (Negative 1/2)–4?

Stella [2.4K]

Answer:

-9/2 or -4.5

Step-by-step explanation:

-1/2 - 4

= -9/2 or -4.5

3 0

3 years ago

Sixty percent of U.S. adults trust national newspapers to present the news fairly and accurately. You randomly select nine U.S.

Pavel [41]

Answer:

a) 0.251

b) 0.483

c) 0.0994

Step-by-step explanation:

We are given the following information:

We treat adult adults trusting national newspapers to present the news fairly and accurately as a success.

P(Adult trust) = 60% = 0.6

Then the number of adults follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 9

a) exactly five

$P(x = 15) = \binom{9}{5}(0.6)^{5}(1-0.6)^{9-5} = 0.2508 \approx 0.251$

b) at least six

We have to evaluate

$P(x \geq 6) = P(x = 6) + P(x = 7) + P(x=8) + P(x=9) \\= \binom{9}{6}(0.6)^6(1-0.6)^3 + \binom{9}{7}(0.6)^7(1-0.6)^2 + \binom{9}{8}(0.6)^8(1-0.6)^1 +\binom{9}{9}(0.6)^9(1-0.6)^0\\= 0.482609 \approx 0.483$

c) less than four

We have to evaluate

$P(x < 4) = P(x = 0) + P(x = 1) + P(x=2) + P(x=3) \\= \binom{9}{0}(0.6)^0(1-0.6)^9 + \binom{9}{1}(0.6)^1(1-0.6)^8 + \binom{9}{2}(0.6)^2(1-0.6)^7 +\binom{9}{3}(0.6)^3(1-0.6)^6\\= 0.099352 \approx 0.0994$

3 0

3 years ago

Find the specific formula for the sequence. [−3,1,5,9,13,...]

aleksklad [387]

Hello There!

-3 1 4 9 13.
+4 +4 +4 +4

As you can see above, to get from one number to the next it is simply adding 4. So the formula is simply just x + 4.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

3 0

3 years ago

How many solutions does the following equation have ? −3x+9−2x=−12−5x

nasty-shy [4]

$\text{Solve for x:}\\\\-3x+9-2x=-12-5x\\\\\text{Combine like terms}\\\\-5x+9=-12-5x\\\\\text{Add 5x to both sides}\\\\9=-12\\\\\text{Since that's not valid, there would be no solutions}\\\\\boxed{\text{No solutions}}$

7 0

3 years ago

1.Which characteristics will prove that ΔDEF is a right, isosceles triangle?

nika2105 [10]

Answer: The lengths of DE and EF are congruent, and their slopes are opposite reciprocals.

Step-by-step explanation: A right isosceles triangle doesn’t need to have the same slope.

3 0

3 years ago