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natali 33 [55]
3 years ago
11

A triangle having sides of 2, 2, and 3 contains _____.

Mathematics
2 answers:
serious [3.7K]3 years ago
8 0

Answer:

an obtuse angle

Step-by-step explanation:

right away, we know by pyth th that it cannot have a right angle. this is because the hypotenuse does not equal the square root of the sum of the sides.

2^2 + 2 ^2 = 3^2 ?

4 + 4 = 9?

8 does not equal 9

secondly, if the sum of the squared sides is less than hypotenuse squared, the triangle has an obtuse angle.

2^2 + 2^2 < 3^2 ?

4 +4 < 9

8 < 9 , this is true, which means that the triangle has an obtuse angle

Kay [80]3 years ago
6 0

Answer:

  an obtuse angle

Step-by-step explanation:

A right triangle with legs of length 2 would have a hypotenuse of length ...

  √(2² +2²) = √8 ≈ 2.828

The third side of this triangle is longer than that, so the opposite angle must be more than 90°. This triangle contains an obtuse angle.

___

A triangle solver says the angles are about 41.4°, 41.4°, and 97.2°.

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Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the
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Answer:

10

Step-by-step explanation:

We will use a system of equations to solve this.  We do not know how much of the 25% bleach solution is used; we will use x to represent this.  We know that 5 cups of the 10% solution was used.  We do not know how much of the resulting solution we have; we will use y to represent this.  This gives us the equation

x+5 = y

Using the decimal forms of the percentages for each solution, we have 0.25x (25% solution for x cups), 0.1(5) (10% solution for 5 cups) and 0.2y (20% solution for y cups); this gives us the equation

0.25x+0.1(5) = 0.2y

This gives us the system

\left \{ {{x+5=y} \atop {0.25x+0.1(5)=0.2y}} \right.

To use elimination, we will make the coefficients of x the same by multiplying the top equation by 0.25:

\left \{ {{0.25(x+5=y)} \atop {0.25x+0.5=0.2y}} \right. \\\\\left \{ {{0.25x+1.25=0.25y} \atop {0.25x+0.5=0.2y}} \right.

We will now subtract the second equation from the first:

\left \{ {{0.25x+1.25=0.25y} \atop {-(0.25x+0.5=0.2y)}} \right. \\\\0.75 = 0.05y

Divide both sides by 0.05:

0.75/0.05 = 0.05y/0.05

15 = y

There were 15 cups of the resulting 20% solution.  Substituting this into the first equation, we have

x+5=15

Subtract 5 from each side:

x+5-5=15-5

x = 10

7 0
3 years ago
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Answer:  The slope is:  "3" ; which does not appear among the                                   answer choices given.
______________________________________________

The slope, "m" is calculated as follows:
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Given two coordinates on a line; 

m = (y₂ − y₁) / (x₂ − x₁) ;
__________________________________________

We are given the following 2 (TWO) coordinates:
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 1)  (5,2) ; which is:  (x₁ ,y₁) ;  so x₁ = 5 ; y₁ = 2 ; AND:
 
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_____________________________________________
So;  m = (y₂ − y₁) / (x₂ − x₁) = (8−2) /.(7−5) = 6/2 = 3 .

m = 3.  The slope is: 3 ; which does not appear among the answer choices given.
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Alternately,
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We are given the following 2 (TWO) coordinates:
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 1)  (7,8) ; which is:  (x₁ ,y₁) ;  so x₁ = 7 ; y₁ = 8 ; AND:
 
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______________________________________________
So;  m = (y₂ − y₁) / (x₂ − x₁) = (2−8) / (5−7) = -6/-2 = 3 .

m = 3.  The slope is 3 ; which does not appear among the answer choices given.
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6 0
3 years ago
If the area of the circle is 206.1 m², find the radius. Round your answer to the nearest
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Answer:

D) 8.1 m

Step-by-step explanation:

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Answer:

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