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3 years ago

A triangle is obtuse provided all the angles have a measure greater than 90 degrees

Mathematics

1 answer:

iogann1982 [59]3 years ago

6 0

If this is a true or false question, that is true

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Joe is the oldest of three brothers whose ages are consecutive even integers. Three times age of the Middle brother is 12 less t

ohaa [14]

Answer:

The age of Age of Joe is 14 years .

Step-by-step explanation:

Given as :

The statement is

Three times age of the Middle brother is 12 less than twice the sum of the ages of Joe and the youngest brother .

As The age of brothers are consecutive even integers

Let The Age of oldest brother Joe = 2 x + 4

Let The Age of middle brother = 2 x + 2

Let The Age of younger brother = 2 x

<u>Now, According to statement</u>

3 × (2 x + 2) = 2 × [ (2 x + 4) + (2 x) ] - 12

Or, 3 × 2 x + 3 × 2 = 2 × (2 x + 4) + 2 × (2 x) - 12

Or, 6 x + 6 = 2 × 2 x + 2 × 4 + 4 x - 12

Or, 6 x + 6 = 4 x + 8 + 4 x - 12

Or, 6 x + 6 = 8 x - 4

Or, 8 x - 6 x = 6 + 4

Or, 2 x = 10

∴ x = $\dfrac{10}{2}$

i.e x = 5

So, The age of Age of oldest brother Joe = 2 x + 4 = 2 × 5 + 4 = 14 years

The Age of middle brother = 2 x + 2 = 2 × 5 + 2 = 12 years

The Age of younger brother = 2 x = 2 × 5 = 10 years

Hence, The age of Age of Joe is 14 years . Answer

5 0

4 years ago

The height of a football after it has been kicked from the top of a hill can be modeled by the equation h = 2(4 − 4t)(2t + 5), w

Gennadij [26K]

The maximum time 1.75 second in case of not having the height:
1. change in ax²+bx+c form⇆ -16t²+56t-40=h
h=(8-8t)(2t-5)
h=16t-40-16t²+40t
h=-16t²+56t-40
2. t max=-b/(-2a)=-56/(-2×-16)=1.75 second

4 0

3 years ago

henry and 28 classmates go to the roller skating ring. each van can hold 11 students. if all of the vans are full except one, ho

Natalka [10]

There is 6 people in the van that isn't full. I am counting. They are counting students. They are going to group them in 2 vans of 11 people and 1 van of 6 people.

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3 years ago

Laura ordered a set of blue and black pencils. She received 110 pencils,21% of then were black. About how many blue pencils did

quester [9]

x 21
----- = -----
110 100

Cross multiplication:
110 x 21 / 100

= 23.1
About 23 of the pencils are blue.

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4 years ago

The product of two numbers is 48. The first number is positive, and the second number is four more than twice the first number.

Katena32 [7]

The answer is 12 and 4 because 4 times 2 is 8 and if you add that by four more that would equal 12 the same amount as the first nubmer

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4 years ago