All categories

2 years ago

A triangle has two sides of length 17 and 2. What is the largest possible whole number length

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

6 0

Answer:

The largest possible value for the third side is 18.

Step-by-step explanation:

Here, the first side of the triangle = 17

Second side of the triangle = 2

Let us assume the third side of the triangle = m

Now, In any given triangle:

"Sum of any two sides of a triangle is strictly greater than the third side."

⇒ Sum of first side + Sum of second side > Third Side

or, m < 17 + 2

or, m < 19

hence, the largest possible value for m = 18

You might be interested in

In a school with 2,000 students, 250 are athletes. Of those athletes, 120 lift weights in addition to participating in their pri

raketka [301]

Answer:

Step-by-step explanation:

4 0

2 years ago

400 passengers go on a coach trip.

Nataliya [291]

Go be to if Derek ID do oh next 37

7 0

2 years ago

Pine Bluff Middle School is having its annual Spring Fling dance, which will cost \$400$400dollar sign, 400. The student treasur

nikklg [1K]

The <em><u>correct answers</u></em> are:

The inequality is 75+4t ≥ 400, and they must sell at least 82 tickets.

Explanation:

t is the number of tickets sold. They start out with $75, so that is where our inequality begins. Each ticket is $4; this gives us the expression 4t. Together with the $75 carry over, we have 75+4t.

They must make at least $400 to pay for the dance. This means it must be more than or equal to 400; this gives us 75+4t ≥ 400.

To solve this, first subtract 75 from each side:

75+4t-75 ≥ 400-75

4t ≥ 325

Divide both sides by 4:

4t/4 ≥ 325/4

t ≥ 81.25

We cannot sell a portion of a ticket, so we round. While mathematically this number would "round down," if they only sell 81 tickets, they will not have enough money. Therefore we round up to 82.

7 0

2 years ago

Read 2 more answers

What is the perimeter of a polygon with vertices at (3, 2) , (3, 9) , (7, 12) , (11, 9) , and (11, 2) ?

Furkat [3]

The perimeter of said polygon is 32.

5 0

2 years ago

A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?

seraphim [82]

Answer:

$P\left(E\right)=\frac{55}{1024}$

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

$nCr=\frac{n!}{r!\left(n-r\right)!}$