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garik1379 [7]
3 years ago
8

The sum of the lengths of two sides of a triangle is always greater then the length of the third side.

Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:Triangle Inequality Theorem. The sum of the lengths of any two sides of a triangle is greater than the length of the third side

Step-by-step explanation:

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The LCD for 1 over 7 and 1 over 8 is
asambeis [7]
The least common denominator would be 56. Hope I helped you! 
7 0
2 years ago
4.20. According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (
Sergeu [11.5K]

Answer:

The probability that the household has only cell phones and has high-speed Internet is 0.408

Step-by-step explanation:

Let A be the event that represents U.S. households has only cell phones

Let B be the event that represents U.S. households have high-speed Internet.

We are given that 51% of U.S. households has only cell phones

P(A)=0.51

We are given that 70% of the U.S. households have high-speed Internet.

P(B)=0.7

We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.

P(B|A)=0.8

\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408

Hence the probability that the household has only cell phones and has high-speed Internet is 0.408

7 0
2 years ago
It is given that A is directly proportional to r2 and r> 0. When r=5, A=75.
torisob [31]

Answer:

see explanation

Step-by-step explanation:

Given A is directly proportional to r² then the equation relating them is

A = kr² ← k is the constant of proportion

To find k use the condition when r = 5, A = 75 , then

75 = k × 5² = 25k ( divide both sides by 25 )

3 = k

A = 3r² ← equation of proportion

(a)

when r = 4, then

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(b)

when A = 147 , then

147 = 3r² ( divide both sides by 3 )

49 = r² ( take the square root of both sides )

r = \sqrt{49} = 7

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2 years ago
Please round it to the third decimal point.
nasty-shy [4]

Answer:22022635.627

Step-by-step explanation:

photo math

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2 years ago
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