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GalinKa [24]
3 years ago
13

The sides of a triangle have lengths 2x + 2, 4x, and 5x + 1. The longest side of the triangle has a length of 5x + 1. For what v

alues of x is the triangle obtuse?
Mathematics
1 answer:
Savatey [412]3 years ago
4 0

Answer:

Step-by-step explanation:

(5x+1)²>(2x+2)²+(4x)²

25x²+10x+1>4x²+8x+4+16x²

5x²+2x-3>0

5x²+5x-3x-3>0

5x(x+1)-3(x+1)>0

(x+1)(5x-3)>0

x+1=0,gives x=-1

5x-3=0,gives x=3/5

x >0(because 4x should be >0)

side is always positive.

so x>3/5

again 5x+1<2x+2+4x

5x-6x<2-1

-x<1

x>-1

x=all real values >3/5

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naveed makes 6.5litres of soup,correst to the nearest 0.5 litre he serves portions of his soup in 330ml cups correct to the near
Karolina [17]

Answer:

Number of Cups = 19

Step-by-step explanation:

Given

Size of Soup = 6.5 litres

SIze of cup = 330 ml

Required

Number of Cups.

First, it'll be assumed that the size of cups are uniform (the same).

The number of cups needed is calculated by dividing the size of soup by the size of the cup;

Number of Cup = Size of Soup/Size of Cup

Number of Cup = 6.5 litres/ 330 ml

<em>Convert units;</em>

<em>1 litres = 1000 ml</em>

<em>So,</em>

<em>6.5 litres = 6.5 * 1,000 ml</em>

<em>6.5 litres = 6,500 ml</em>

<em></em>

So,

Number of Cups = 6500 ml/330 ml

Number of Cups = 19.696969697

From the solution above, Naveed will definitely be able to serve 19 cups. The remaining fractional part won't fill a cup;

Hence, Number of Cups = 19

3 0
3 years ago
You make 10 cups of pudding and pour it into 6 containers how many cups of pudding are in each container
masya89 [10]
1.67 cups.
10 divided by 6, then round.
7 0
3 years ago
18 divided by 6 multiples by 4-3 +6
yKpoI14uk [10]
15 is the answer i think
6 0
3 years ago
Does anyone know how tj do this (trig)
Crank

Answer:

x = 5

Step-by-step explanation:

NOTE: THE 2 SIDES ARE THE SAME LENGTH

THEY HAVE TO BE SMALLER THEN 10

So 10/2 = 5

x = 5

<em><u>Please mark as brainliest </u></em>

Have a great day, be safe and healthy  

Thank u  

XD

8 0
3 years ago
Find the slope of the line that passes through the points (0-2) and (1.4).​
vredina [299]

Answer:

m = 6

Step-by-step explanation:

m=\frac{rise}{run}=\frac{4+2}{1-0}=\frac{6}{1}=\boxed{6}

Hope this helps!

4 0
3 years ago
Read 2 more answers
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