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3 years ago

Need help on this question

Mathematics

2 answers:

katen-ka-za [31]3 years ago

7 0

Answer:

the answer to x is 4

x=4

GrogVix [38]3 years ago

4 0

Answer: the answer is 4

Step-by-step explanation:

4-0=4

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Jon weighs 148 lbs and hopes to gain 2 pounds a week. Matt weighs 193 lbs and hopes to lose 1 lb a week. How many weeks until th

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The answer is 46 weeks

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3 years ago

If 5 potatoes together have a mass of 1 kg and 8 pears together have a mass of 1,200 g which one has a greater mass, a potato or

klasskru [66]

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3 years ago

indicate whether the measures 8, 14, and 16 can be the side lengths of a triangle. if they can, classify the triangle.

Aleksandr-060686 [28]

Answers:

A triangle is possible.

The triangle is acute and scalene

=============================================================

Explanation:

We use the triangle inequality theorem to see if a triangle is possible with these side lengths.

Consider the side lengths a, b, and c. A triangle is possible if and only if the following 3 conditions hold true

a+b > c
a+c > b
b+c > a

Basically pick any two sides. If the sum is larger than the third side, then a triangle is possible.

-----------------

In this case we have: a = 8, b = 14, c = 16. The order of the a,b,c values doesn't really matter.

Then:

a+b = 8+14 = 22 which is larger than c = 16. So a+b > c is true.
a+c = 8+16 = 24 is larger than b = 14. So a+c > b is true.
b+c = 14+16 = 30 is larger than a = 8. So b+c > a is true.

All three inequalities mentioned are true; therefore, a triangle is possible with these side lengths.

-----------------

We'll use those a,b,c values in the converse of the pythagorean theorem to determine what kind of triangle this is. So far we know it's scalene because all three side lengths are different. It would be isosceles if it had exactly two equal sides, and equilateral if all 3 sides were the same length.

$a^2+b^2 = c^2\\\\8^2+14^2 = 16^2\\\\260 = 256\\\\$

The last equation is false, which tells us this triangle is not a right triangle. It's either acute or obtuse.

Since $a^2+b^2 > c^2$ is the case here, we can conclude the triangle is acute

If $a^2+b^2 < c^2$ was the case, then the triangle would be obtuse.

-----------------

Summary:

A triangle is possible with side lengths a = 8, b = 14, c = 16.
This triangle is scalene and acute

4 0

1 year ago

The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. Find the dimensions of the rectangle.

Shalnov [3]

Answer:

The width is 4.5, and the length is 7.5.

Step-by-step explanation:

We know that the perimeter is 24 cm, and the length is 3 cm greater than the width. We know that the perimeter = l*w. This info gives us an equation:

24 = (x + 3)*2 + x * 2. The 24 is the perimeter, and x is the width, so l is x + 3. Now we just have to solve for x.

24 = (x + 3)*2 + x * 2 | Simplify the Parenthesis

24 = 2x + 6 + x * 2 | Subtract 6 from both sides

18 = 2x + x * 2 | x * 2 is 2x

18 = 2x + 2x | 2x + 2x = 4x

18 = 4x | Now we divide by 4

4.5 = x. This mean the width is 4.5, and the length is 4.5 + 3, or 7.5. We can plug these into the original formula to confirm.

24 = 7.5*2 + 4.5*2, 24 = 15 + 9, 24 = 24.

6 0

3 years ago

A cylindrical rain barrel has a height of 4 feet, and the circumference of one of its bases is 57 feet.

defon

Option B. 20pi ft^3
please correct me if i’m wrong

6 0

3 years ago