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maria [59]
3 years ago
6

Could you build a triangle from each of the 3 lengths?

Mathematics
1 answer:
lianna [129]3 years ago
7 0
To form a triangle the sum of the two shorter sides must be greater than the longest side.
5, 5, 3 forms a triangle (isosceles)
8, 8, 8 forms a triangle (equilateral)
5, 6, 10 forms a triangle (obtuse angled scalene)

7, 8, 15 technically forms a triangle with an area of zero units. The vertices would be co-linear.
This will often be ignored as it has little practical use.

Fun fact. If you break a stick into 3 random lengths there is only a 25% chance they will be able to form a triangle.
You might be interested in
Which sets are not closed under subtraction
anastassius [24]

If you're referring to the different sets of real numbers, it's the ones that you could try to do subtraction and not get an answer that still in that set.

For example, natural numbers (aka 1, 2, 3, 4, ...) are not, because 7 - 11 = -4 and -4 is not a natural number.

Also, whole numbers (aka 0, 1, 2, 3, 4, ...) has the same issue.

Basically any set of real numbers that doesn't include negative numbers will have this issue.

6 0
3 years ago
the two longer sides of a triangle measure 22 units and 29 units .which of the following is a possible length of the shorter sid
Tresset [83]
B is the right answer because a is too short and c and d are too long
7 0
3 years ago
Pls answer I will give brainliest
Levart [38]

Answer: 108 ft³ 

Step-by-step explanation:

V= 4/3πr³ 

Facts:

Pi= 3

Diameter = 6

Step1; find the radius

Diameter is the length acaross the whole circle, but the radius is just 1/2 the circle. Therefore, if the diameter is 6, then the radius can be found by finding 1/2 of 6.

1/2 of 6= 1/2x6= 3.

R= 3

Step 2:  Plug in the numbers (into the formula)

PEMDAS

(exponents go first)

(then multiply from left to right)

V= 4/3πr³ 

V= 4/3x3x3³ 

V= 4/3x3x (3x3x3)

V= 4/3x3x27

V= (4/3x3)  x 27

V= 12/3x27

V= 4x27

V= 108

<u><em>Volume= 108 ft³ </em></u>

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

Hope this helps :)) Also brainliest would be appreciated, i worked pretty hard on this thanks! :)

7 0
2 years ago
Read 2 more answers
Decide whether the sequence 4,10,20,34,52 ....... is a linear model,
Alecsey [184]

Answer:

Lineal.

Step-by-step explanation:

To determine if the sequence 4,10,20,34,52 ....... is a linear model, a quadratic model or a cubic model, the following mathematical logical reasoning must be carried out:

4 to 10 = +6

10 to 20 = +10

20 to 34 = +14

34 to 52 = +18

Thus, we can see at a glance that the sequence increases 4 numbers in each digit, adding first 6, then 10, then 14 and so on, with which the next numbers in that sequence should be 74 (+22), 100 ( +26), 130 (+30), 164 (+34), and so on.

Therefore, since there is no quadratic or cubic relationship, the sequence is linear.

6 0
3 years ago
(3x+2)∧2=9 how do i solve this in the square root property
Irina18 [472]
(3x+2)^2=9 \\\\9x^2+12x+4-9=0\\\\9x^2+12x-5=0\\\\a=9,\ \ b=12, \ \ c=-5

x_{1}=\frac{-b-\sqrt{b^2-4ac}}{2a}=\frac{-12-\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12-\sqrt{144+180}}{18}=\\\\=\frac{-12-\sqrt{324}}{18}=\frac{-12-18}{18}=\frac{-30}{18}=-\frac{5}{3}\\\\x_{2}=\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-12+\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12+18}{18}=\frac{6}{18}=\frac{1}{3} \\\\Answer: \ x=-\frac{5}{3}\ \ and \ \ x=\frac{1}{3}
 

6 0
3 years ago
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