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2 years ago

Prove that in any triangle the length of a side is less than the half of the perimeter in statement reason format.

Mathematics

1 answer:

horrorfan [7]2 years ago

3 0

Answer:

Proved

Step-by-step explanation:

I am going to pose c as the largest side in a random triangle

If so then remember that, by the triangle inequality, a + b > c. Let's start from there...

Statement: | Reasoning:

1. a + b > c 1. Triangle Inequality

2. a + b + c > c + c (adding c on both sides), 2. Algebra + Def. Of Perimeter

a + b + c > 2c (simplified)

Perimeter > 2c (definition of perimeter)

c < 1/2 * Perimeter

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Which expression is equivalent to (see attachment)

Kobotan [32]

Answer:

see below

Step-by-step explanation:

8 can be factored from each of the terms of the sum. (It's the distributive property.)

8·0 + 8·1 + 8·2 + ... + 8·26 + 8·27

= 8·(0 +1 +2 + ... +26 +27)

8 0

2 years ago

Shannon is selling boxes cookies and candy for a fundraiser. She's sold each box of cookies for $5.25. She also sold one one box

defon

Answer:

The minimum boxes of cookies is 39

Step-by-step explanation:

Let

x ----> the number of boxes of cookies sold

y ----> the number of boxes of candies sold

we know that

The word "at least" means "greater than or equal to"

The inequality that represent this problem is

$5.25x+8.75y\geq 200$

The solution is the shaded area above the solid line $5.25x+8.75y=200$

using a graphing tool

The solution is the shaded area -----> see the attached figure

Find out the minimum boxes of cookies needed to sell to reach the goal

assuming only cookies are sold

For y=0

$5.25x+8.75(0)\geq 200$

$5.25x\geq 200$

solve for x

$x\geq 38.1$

Round up

therefore

The minimum boxes of cookies is 39

5 0

2 years ago

Consider the following incomplete deposit ticket: what was art’s total deposit? a. $1,701.23 b. $1,545.83 c. $1,856.63 d. $1516.

34kurt

Step-by-step explanation:

the answer is $1,145.39

7 0

2 years ago

Do the ratios 42/56 and 56/64 form a proportion? if they do explain your answer

Volgvan

Lets check...

42/56 = 56/64
cross multiply
(56)(56) = (42)(64)
3136 = 2688...(incorrect)...these are not proportional

proportions are nothing but equivalent fractions
42/56 = 3/4
56/64 = 7/8
as u can see, they are not equivalent fractions...so they are not proportional

4 0

3 years ago

1. Find the slope of the line graphed below.

Olegator [25]

Answer:

$m=\frac{1}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-2, 0)

Point (0, 1)

Step 2: Find slope m

Substitute: $m=\frac{1-0}{0+2}$
Subtract/Add: $m=\frac{1}{2}$

6 0

2 years ago