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stellarik [79]
3 years ago
5

Ramon wants to make an acute triangle with three pieces of wood. So far, he has cut wood lengths of 7 inches and 3 inches. He st

ill needs to cut the longest side. What length must the longest side be in order for the triangle to be acute?
a) exactly inches

b) greater than inches but less than 10 inches

c) less than inches but greater than 7 inches

d) not enough information given
Mathematics
2 answers:
Alex787 [66]3 years ago
8 0

Answer:

Option c - less than \sqrt{58} inches but greater than 7 inches.

Step-by-step explanation:

Given : Ramon wants to make an acute triangle with three pieces of wood. So far, he has cut wood lengths of 7 inches and 3 inches.

To find :  What length must the longest side be in order for the triangle to be acute?  

Solution :

According to property of triangle,

If the square of larger side of triangle is equating to the sum of square of smaller side

If a^2 the triangle is acute triangle  

where, a is the larger side and b,c are the smaller side

According to question, Let a=a , b=7, c=3

a^2

a^2

a

Means to be a acute triangle third side must be less than \sqrt{58} inches but greater than 7 inches.

Therefore, Option c is correct.

Yuki888 [10]3 years ago
5 0

Answer: c

Step-by-step explanation:

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Answer:

He sold 32 apples, 40 peaches and 60 apples.

Step-by-step explanation:

We are given that

4 apples are sold every 5 peaches and

3 tomatoes are sold every 2 peaches.

i.e. the ratio is apples: peaches = 4 : 5     ...... (1)

and the ratio peaches: tomatoes = 2 : 3   ...... (2)

Peaches are the common link here in both the ratio terms.

Let us make the peaches value in both the <em>ratio as 10 </em>to make it equal in both the ratio terms.

Multiply (1) by 2 and (2) by 5:

The ratio becomes;

apples:peaches = 8:10

peaches: tomatoes = 10:15

In other words, the ratio becomes:

apples:peaches:tomatoes = 8:10:15

Let the number of apples = 8x

Let the number of peaches = 10x\\

Let the number of tomatoes = 15x

We are given that total fruits are = 132

\Rightarrow 8x+10x+15x = 132\\\Rightarrow 33x = 132\\\Rightarrow x =4\\

So, number of apples sold = 8 \times 4 = 32

Number of peaches sold = 10 \times 4 = 40

Number of tomatoes sold = 15 \times 4 = 60

7 0
3 years ago
Which of these is not a possible r-value?
Y_Kistochka [10]

Answer:

a. 1.75

Step-by-step explanation:

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0 is no correlation

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7 0
3 years ago
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Step-by-step explanation:

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Dima020 [189]

Given:

The quadratic equation is:

3x^2+x-5=0

To find:

The solution for the given equation rounded to 2 decimal places.

Solution:

Quadratic formula: If a quadratic equation is ax^2+bx+c=0, then:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

We have,

3x^2+x-5=0

Here, a=3,b=1,c=-5. Using the quadratic formula, we get

x=\dfrac{-1\pm \sqrt{1^2-4(3)(-5)}}{2(3)}

x=\dfrac{-1\pm \sqrt{1+60}}{6}

x=\dfrac{-1\pm \sqrt{61}}{6}

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Now,

x=\dfrac{-1+7.81025}{6}

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And

x=\dfrac{-1-7.81025}{6}

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Therefore, the required solutions are 1.14 and -1.47.

3 0
3 years ago
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