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2 years ago

Can the sides of a triangle have lengths 2, 4, and 7?

2 answers:

5 0

Yes. It would be a scalene triangle.

However, a right triangle cannot have those lengths (because if we inputted the values into the Pythagorean Theorem, it wouldn’t be a true equation).

Hope this helps! (:

LekaFEV [45]2 years ago

4 0

Answer:

No, they can't

Step-by-step explanation:

According to the Triangle Inequality Theorem, the largest side cannot be greater than the sum of the other two sides.

2+4= 6<7

As you can see from this Equation NOT any two side are greater than the third making this NOT possibly be a tringle.

2+7=9>4

4+7=11>2

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Which choices are equivalent to the expression below? Check all that apply.<br> 5 square root 3

blsea [12.9K]

Option A: $\sqrt{75}$

Option C: $\sqrt{15} \cdot \sqrt{5}$

Option F: $\sqrt{25} \cdot \sqrt{3}$

Solution:

Given expression is $5 \sqrt{3}$ .

Option A: $\sqrt{75}$

$\sqrt{75}=\sqrt{25\times3}$

$=\sqrt{5^2\times3}$

$=5\sqrt{3}$

Hence $\sqrt{75}$ is equivalent expression of $5 \sqrt{3}$ .

Option B: $\sqrt{45}$

$\sqrt{45}=\sqrt{9\times5}$

$=\sqrt{3^2\times5}$

$=3\sqrt{5}$

Hence $\sqrt{45}$ is not equivalent expression of $5 \sqrt{3}$ .

Option C: $\sqrt{15} \cdot \sqrt{5}$

$\sqrt{15} \cdot \sqrt{5}=\sqrt{15\times5}$

$=\sqrt{75}$

$=5\sqrt{3}$ (proved in option A)

Hence $\sqrt{15} \cdot \sqrt{5}$ is equivalent expression of $5 \sqrt{3}$ .

Option D: $\sqrt{3} \cdot \sqrt{5}$

$\sqrt{3} \cdot \sqrt{5}=\sqrt{3\times5}$

$=\sqrt{15}$

Hence $\sqrt{3} \cdot \sqrt{5}$ is not equivalent expression of $5 \sqrt{3}$ .

Option E: 75

75 is a whole number.

Hence 75 is not equivalent expression of $5 \sqrt{3}$ .

Option F: $\sqrt{25} \cdot \sqrt{3}$

$\sqrt{25} \cdot \sqrt{3}=\sqrt{25\times3}$

$=\sqrt{75}$

$=5\sqrt{3}$ (proved in option A)

Hence $\sqrt{25} \cdot \sqrt{3}$ is equivalent expression of $5 \sqrt{3}$ .

Therefore, $\sqrt{75},\ \ \sqrt{15} \cdot \sqrt{5}, \ \ \sqrt{25} \cdot \sqrt{3}$ are all equivalent expressions of $5 \sqrt{3}$ .

6 0

3 years ago

Anton works at the First National Bank. His employer offers him a pension retirement plan, which will be 1.45% of his average sa

shepuryov [24]

Answer:

31217.34

Step-by-step explanation:

92000+92800+99000+100500+105000=489300/5=97860 avg salary

97860X.0145=1418.97x22=31217.34

5 0

3 years ago

A parallelogram has an area of 136.96 square kilometers and a height of 12.8 kilometers. What is the length of the base?

fenix001 [56]

Answer:

the answer is 10.7

Step-by-step explanation:

$136.96 \div 12.8$

that show give you your answer

5 0

2 years ago

What is the solution to this equation? 3[x] - 1 = 8

Yanka [14]

Answer:

Step-by-step explanation:

The whole goal is to isolate the variable.

3x-1=8

1+3x-1=8+1 first add 1 to both sides of the equation to cancel out the -1

3x=9 now just divide 3 to both sides of the equation because the opposite of multiplication is division. So dividing 3 on both sides cancels out the 3 to isolate the x

3x/3=9/3

x=3

8 0

3 years ago

The question is below pls help.

AysviL [449]

Answer:

The answer is 153.8

Step-by-step explanation:

To find the perimeter you sum all the sides. 5.9+12.3+12.3+10.9+12.3+23.2+18.2+10.9+12.3+35.5= 153.8

4 0

4 years ago