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3 years ago

Which dimensions can create only one unique triangle?

Mathematics

2 answers:

Gnom [1K]3 years ago

5 0

Answer:

B three sides measuring 5 in, 12 in, and 14 in

Step-by-step explanation:

the three angles measuring 25, 65, and 90 is 180 and can make more triangle.

the three angles measuring 50, 50, and 50, doesn't even add up to 180 degrees.

the three sides measuring 4 ft, 8 ft, and 14 ft can make more triangles.

I got this right in my test and I got it right.I hope this helps you

ArbitrLikvidat [17]3 years ago

4 0

When only angles are specified, the sides can be any length, so the triangle is not unique. In any event, the sum of angles must be 180°, so three angles measuring 50° cannot be closed to form a triangle.

Three sides measuring 4, 8, and 14 ft cannot be closed, either, as the long dimension exceeds the sum of the other two. The ends can't meet.

The appropriate choice is the 3rd one ...

... three sides measuring 5 in, 12 in, and 14 in.

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Noel and Casey both start at the same place. Noel walks due south and Casey walks due east. After some time has passed, Noel is

Dovator [93]

Answer:

2.04 miles per hour

Step-by-step explanation:

Given

Noel

$n_1 =6miles$

$r_1 = 2mph$

Casey

$c_1 = 8miles$

$r_2 =1mph$

Required

The rate at which the distance increases

Their movement forms a right triangle and the distance between them is the hypotenuse.

At $n_1 =6miles$ and $c_1 = 8miles$

The distance between them is:

$d_1 = \sqrt{n_1^2 + c_1^2}$

$d_1 = \sqrt{6^2 + 8^2}$

$d_1 = \sqrt{100}$

$d_1 = 10miles$

After 1 hour, their new position is:

New = Old + Rate * Time

$n_2 = n_1 + r_1 * 1$

$n_2 = 6 + 2 * 1 = 8$

And:

$c_2 = c_1 + r_2 * 1$

$c_2 = 8 + 1 * 1 = 9$

So, the distance between them is now:

$d_2 = \sqrt{n_2^2 + c_2^2}$

$d_2 = \sqrt{8^2 + 9^2}$

$d_2 = \sqrt{145}$

$d_2 = 12.04$

The rate of change is:

$\triangle d = d_2 -d_1$

$\triangle d = 12.04 -10$

$\triangle d = 2.04$

5 0

3 years ago

What’s p + 18 = 18 ?? I just want to make sure my answer is right.

blsea [12.9K]

Answer: 0

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

vodomira [7]

Finding the discriminate of a quadratic formula determines the number and type of answers.

The formula is b^2 -4(ac)

a = 6. b = -7 and c = -4

-7^2 -4(6*-4) = 145

The answer is a positive number so this means there are 2 real solutions.

7 0

3 years ago

Read 2 more answers

What is the sum of the last four terms of the series 7+9+11+...21

Sidana [21]

For sake of convenience, reverse the series, then it would be:

21,19,17.....7

a=21, d = -2,

s(4) = 4/2 (21+15)

s(4)=2(36)

s(4) = 72

8 0

3 years ago

Find the distance between points P(2, 2) and Q(7, 4) to the nearest tenth.

kirill115 [55]

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points P(2, 2) ans Q(7, 4). Substitute:

$|PQ|=\sqrt{(7-2)^2+(4-2)^2}=\sqrt{5^2+2^2}=\sqrt{25+4}=\sqrt{29}\approx5.4$

<h3>Answer: PQ = 5.4</h3>

8 0

3 years ago