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3 years ago

Determine if the side lengths given form a triangle. Justify your response. 4ft, 8ft, 12ft

Mathematics

2 answers:

Serhud [2]3 years ago

3 0

Answer:

No, the sum of the two smaller sides must be greater than the longer side.

In this case this would be just a straight line.

Kay [80]3 years ago

3 0

$\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}$

The given lengths won't form a triangle. The sum of the 2 smaller sides should be greater (not equal too) than the longest side.

so, the longest side her is 12ft

so the smaller sides are 4ft, and 8ft.

the sum of this two sides is 12ft which same as longest side (not greater)...

so it won't form a triangle, here it will just form points on lines.

thanks
hope it helps

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Sedaia [141]

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4 years ago

(a) The marked price of a Jacket at a dealer's shop is Rs.2400. The dealer alle

Alexxx [7]

Answer:

SP is 2400

Final price with 10% VAT is 2640

The actual gain of retailer is 360

Step-by-step explanation:

Given

Marked price of a jacket at dealer shop is 2400

The dealer alle discount of 15% to the retailer

The marked price of the retailer should be the same as dealer's marked price.

The SP should rate for the jacket without VAT 2400

Final price if 10% VAT is imposed

10% VAT on jacket price 2400 is x

$x=\frac{2400}{10}$

$x=240$

The the final price including 10% VAT = 2400 + 240

Final price with 10% VAT = 2640

Actual gain of retailer

Given, The dealer alle discount of 15% to the retailer

So, The retailer gain profit is 15% on jacket price 2400

Therefore

Let x be the gain of retailer

$x=\frac{15}{100}\times2400\\x=15\times24\\x=360$

So, The actual gain of the retailer is 360

The SP should rate for the jacket without VAT 2400

Final price with 10% VAT = 2640

The actual gain of the retailer is 360

8 0

3 years ago

Ju-yi just got back from A 10 mile bicycle ride and she had ridden three miles per hour faster. The ride would have taken her 30

Gnom [1K]

Answer:

$6.39\ miles/hr$

Step-by-step explanation:

$Let\ her\ speed=x\ mile/hr\\\\Let\ time\ taken=t\ hr\\\\distance=speed\times time\\\\10=x\times t\ .........................(1)$

When speed is 3 mi/hr faster.

$Her\ speed=x+3\ mile/hr\\\\Time\ taken=t-\frac{1}{2}\ hr\ \ \ as\ it\ takes 30\ minutes\ fewer\ and\ 30\ min=\frac{1}{2}\ hr\\\\distance=speed\times time\\\\10=(x+3)\times (t-\frac{1}{2})\\\\10=xt+3t-\frac{x}{2}-\frac{3}{2}\......................eq(2)\\\\eq(2)-eq(1)\\\\10-10=xt+3t-\frac{x}{2}-\frac{3}{2}-xt\\\\3t=\frac{x}{2}+\frac{3}{2}\\\\t=\frac{x+3}{6}\\\\from\ equation\ 1\ t=\frac{10}{x}\\\\\frac{10}{x}=\frac{x+3}{6}\\\\60=x^2+3x\ \ \ \ \ \ \ \ \ cross\ multiplication\\\\x^2+3x-60=0$

$Solution\ of\ ax^2+bx+c=0\ is\ given\ by\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\Here\ a=1,b=3\ and c=-60\\\\x=\frac{-3\pm\sqrt{3^2-4\times 1\times (-60)}}{2}\\\\x=\frac{-3\pm\sqrt{9+240}}{2}\\\\Only\ positive\ value\ will\ be\ taken\\\\x=\frac{-3+\sqrt{9+240}}{2}=6.39\ miles/hr$

7 0

3 years ago

Pslslslls help im giving extra points

AfilCa [17]

Think your answer is $27,100.

6 0

3 years ago

Read 2 more answers

Omg please help if you can giving extra points

solniwko [45]

<h3>Answer: 285, choice A</h3>

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

Explanation:

x = number of attendees

y = cost

If you increase the number of attendees (x) by 15, then the cost (y) goes up by 105. We see this by subtracting the values

30 - 15 = 15

495 - 390 = 105

Divide the change in cost over the change in people. So we have 105/15 = 7

The 7 represents the unit rate, which is the amount of money it costs for one person. Each time we add a person, it costs $7. So we can say "it costs 7 dollars per person"

At 7 dollars per person, 15 people will be charged 15*7 = 105. However, the table shows $390 is the actual cost. So 390 - 105 = 285 is the base cost

Or you can use the second column. If we had 30 people, then 7*30 = 210 is the cost without the base cost added on. The table shows 495, so 495-210 = 285 which is the same answer as before.

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

Alternative method

This method involves more equations and algebra

First use the slope formula. You can use any two points from the table. I'm going to use (15, 390) and (30, 495)

m = slope

m = (y2-y1)/(x2-x1)

m = (495-390)/(30-15)

m = (105)/(15)

m = 7 <<--- this is the unit rate, aka cost per person

Use the slope and one of the points to find the y intercept

y = mx+b

y = 7x+b

390 = 7(15)+b

390 = 105+b

105+b = 390

b = 390-105

b = 285 <<-- this is the y intercept, aka base cost

The base cost is the price you pay to get in the door. This cost stays the same no matter how many people are in your party. The equation would be y = 7x+285. Note how plugging in x = 15 leads to y = 390. At the same time, plugging in x = 30 leads to y = 495.

6 0

3 years ago