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4 years ago

Is it possible to construct a triangle with side lengths of 15 inches, 17 inches, and 32 inches? Why or why not?

Mathematics

1 answer:

Umnica [9.8K]4 years ago

6 0

Answer:

Step-by-step explanation:

For a triangle to be valid the sum of any 2 of it's sides must be greater than the third side

for 15, 17, 32

15 + 32 = 47 > 17

17 + 32 = 49 > 15

15 + 17 = 32 hence not a valid triangle

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please solve all of them Elaine bought a total of 15 shirts and pairs of pants She bought 7 more shirts then pants how many of e

mihalych1998 [28]

Answer

Question 1

4 pants

11 shirts

Question 2

Shady has 30 video games.

Preston has 19 video games.

Question 3

1 muffin costs $1.5

1 quart of milk costs $3

Explanation

Question 1

Let the number of shirts be s

Let the number of pants be p

She bought a total of 15 shirts and shirts

s + p = 15

She bought 7 more shirts than pants.

s = 7 + p

So, we can solve the simultaneous equation.

s + p = 15

s = 7 + p

Substitute for s in equation 1

s + p = 15

7 + p + p = 15

7 + 2p = 15

2p = 15 - 7

2p = 8

Divide both sides by 2

(2p/2) = (8/2)

p = 4 pants

s = 7 + p = 7 + 4 = 11 shirts

Question 2

Let the number of games Shady has be s

Let the number of games Preston has be p

Together, they have a total of 49 video games

s + p = 49

Shady has 11 more games than Preston.

s = 11 + p

So, we can solve the simultaneous equation.

s + p = 49

s = 11 + p

Substitute for s in equation 1

s + p = 49

11 + p + p = 49

11 + 2p = 49

2p = 49 - 11

2p = 38

Divide both sides by 2

(2p/2) = (38/2)

p = 19 video games

s = 11 + p = 11 + 19 = 30 video games

Question 3

Let the cost of a muffin be m

Let the cost of a quart of milk be q

The cost of 8 muffins and 2 quarts of milk is $18.

8m + 2q = 18

The cost of 3 muffins and 1 quart of milk is $7.50

3m + q = 7.5

So, we can solve the simultaneous equation

8m + 2q = 18

3m + q = 7.5

Solving this,

m = 1.5 dollars

q = 3 dollars

Hope this Helps!!!

3 0

1 year ago

Find the distance between the ordered pairs. (6, 4) and (-3, 4)

seropon [69]

Answer: = 9

There is really no steps for this answer...

4 0

3 years ago

Read 2 more answers

Hellllllllllllllllllllllllllp

irinina [24]

Answer:

I believe the answer is 250. I hope this helps Bye!

6 0

3 years ago

Please answer this question!! 30 points and brainliest!

murzikaleks [220]

Answer:

D. 2x^2-7x.

Step-by-step explanation:

Lets write it out to make it easy to work with.

-x(-2x+7)

Multiply the -x out

2x^2-7x.

The answer is D

4 0

3 years ago

the equation y= - 5.131x2+ 31.821x - 3.333 approximates the number of people standing in line to catch a commuter train x hours

ehidna [41]

We are given function: y= $- 5.131x^2+ 31.821x - 3.333$

Where, x is the number of hours after 5a.m.

We need to approximates the number of people standing in line to catch a commuter train at 7 a.m.

From 5 a.m. to 7 a.m. total number of hours = 7-5 = 2 hours.

So, we need to plug x=2 in the given function.

Plugging x=2 in $y=- 5.131x^2+ 31.821x - 3.333$ , we get

$y=- 5.131(2)^2+ 31.821(2) - 3.333$

Let us simplify it now.

2^2= 4.

Therefore,

$y=- 5.131(4)+ 31.821(2) - 3.333$

= -20.524 + 63.642 - 3.333.

= 39.785 or 40 approximately.

Therefore, the number of people in line at 7 a.m. is approximately 40 people.

Option D.40 is correct option.

3 0

3 years ago