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3 years ago

The lengths of three sides of a triangle are m units, n units, and p units, respectively. Which inequality must be true?

Mathematics

2 answers:

Bogdan [553]3 years ago

4 0

Answer:

n < m + p

Step-by-step explanation:

If ABC is a triangle then the sum of any two sides of ABC will be greater than the third side i.e. AB + BC > CA or BC + CA > AB or CA + AB > BC.

Now, if the lengths of three sides of a triangle are m units, n units, and p units respectively.

Then the inequality must be true is n < m + p, where m + p is the sum of any two sides which is greater than the third side of n length. (Answer)

alexdok [17]3 years ago

3 0

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, the inequality that must be true is n < m + p.

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You need to wrap a present that you will put inside a cylindrical container. You’ll need to know how much will fit in the conta

nirvana33 [79]

Answer:

149.28 sq. inches

137.5 cubic inches.

Step-by-step explanation:

The cylindrical container has length or height (h) 7 inches and has a diameter of 5 inches i.e. radius (r) 2.5 inches.

Now, total surface area of the container = $2\pi r^{2} + 2\pi rh$

= $\frac{2 \times 22 \times (2.5)^{2} }{7} + \frac{2 \times 22 \times 2.5 \times 7}{7}$

= 39.28 + 110

= 149.28 sq. inches (Answer)

Again the volume of the container will be $\pi r^{2}h$

= $\frac{22 \times (2.5)^{2} \times 7}{7}$

= 137.5 cubic inches. (Answer)

6 0

3 years ago

Find the surface area of a pyramid with a square base with dimensions 100 mm by 100 mm and height of 75 mm.

Reil [10]

To solve for the surface area of the pyramid, we make use of the formula:

A= l w + l [sqrt ((w / 2)^2 + h^2)] + w [sqrt ((l / 2)^2 + h^2))

where,

l and w are the base of the pyramid = 100 mm

h is the height of the pyramid = 75 mm

Substituting the given values into the equation:

A= 100 * 100 + 100 [sqrt ((100 / 2)^2 + 75^2)] + 100 [sqrt ((100 / 2)^2 + 75^2))

A = 10,000 + 100 (sqrt 2575) + 100 (sqrt 2575)

A = 20,148.90 mm^2

Therefore the surface area of the pyramid is about 20,149 mm^2.

8 0

3 years ago

Find the value of t perimeter

Natali5045456 [20]

Answer:

<h2><em><u>t = 15.2 is the answer</u></em></h2>

Step-by-step explanation:

<h2><em><u>1. Make an equation</u></em></h2>

numbers to find perimeter = perimeter

Side + Side + 2 unknown sides = perimeter

12 + 7.8 + 2t = 50.2

<h2><em><u>2. Simplify like terms</u></em></h2>

19.8 + 2t = 50.2

<h2><em><u>3. Solve</u></em></h2>

19.8 + 2t = 50.2

-19.8 - 19.8

2t = 30.4

<h2><u><em>4. Check:</em></u></h2>

12 + 7.8 + t + t = 50.2

12 + 7.8 + (15.2) + (15.2) = 50.2

<h2><em><u>50.2 = 50.2</u></em> Correct!</h2><h2 />

Hope this helped,

Kavitha

7 0

3 years ago

Read 2 more answers

Write one hundred and fourteen thousandths as a decimal number.

LiRa [457]

100.014. I think this is it

6 0

3 years ago

Please, I NEED HELP. Anyone?

olchik [2.2K]

Answer:

<em>(a) The system that models the situation: $b+c= 280$ and $0.14b+0.07c= 22.4$ </em>

<em>(b) David needs 40 pounds of bread flour and 240 pounds of cake flour.</em>

Step-by-step explanation:

The amount of flour mixture is 280 lb. that is 8% plain flour.

So, the amount of plain flour in the mixture will be: $(280*0.08)lb.= 22.4$ lb.

The number of pounds of bread flour and cake flour needed to make the new mixture are $b$ and $c$ respectively.

<u>So, the first equation will be</u>: $b+c= 280 ...................................(1)$

The bread flour has 14% plain flour and the cake flour has 7% plain flour.

Thus, the amount of plain flour in bread flour $=0.14b$ lb. and the amount of plain flour in cake flour $= 0.07c$ lb.

<u>So, the second equation will be</u>: $0.14b+0.07c= 22.4 ................................(2)$

From equation (1), we will get: $b= 280-c$

Now substituting this $b= 280-c$ into equation (2) in place of $b$ ........

$0.14(280-c)+0.07c= 22.4\\ \\ 39.2-0.14c+0.07c=22.4\\ \\ -0.07c=22.4-39.2\\ \\ -0.07c=-16.8\\ \\ c=\frac{-16.8}{-0.07}=240$

Plugging this $c=240$ into equation (1), we will get.....

$b+240=280\\ \\ b=280-240=40$

So, David needs 40 pounds of bread flour and 240 pounds of cake flour.

7 0

3 years ago