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3 years ago

List the sides of the triangle below in order from shortest to longest

Mathematics

2 answers:

jek_recluse [69]3 years ago

6 0

Answer:

Sides ascending order is : BC , AB, AC

Step-by-step explanation:

Given that a triangle ΔABC where,

Angle ∠A = 25°

Angle ∠B = 180° - (∠A + ∠C) = 180° - (25° + 110°) = 180° - 135° = 45°

Angle ∠C = 110°

We know that, longest side makes largest angle and vice versa.

So, Largest angle is ∠B = 110°

So, Longest side is AC

Second Largest angle is ∠C = 45°

Second longest side is AB

Third largest angle is ∠A = 25°

third longest side is BC.

So, Order of sides from shortest to longest is :

BC, AB, AC.

That's the final answer.

jekas [21]3 years ago

4 0

Lines BC, AB, and then AC

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$36 - $12.75 is $23.25

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3 years ago

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Write the equation of this circle in standard form.<br> please give answer?

Law Incorporation [45]

Given the center $(x_0,y_0)$ and the radius $r$ of a circle, its equation is

$(x-x_0)^2+(y-y_0)^2=r^2$

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3 years ago

how many 5-digit even numbers can be formed with the digits 1,2,3,4,5, and 6 if repetition is allowed?

Setler79 [48]

Given:

The given digits are 1,2,3,4,5, and 6.

To find:

The number of 5-digit even numbers that can be formed by using the given digits (if repetition is allowed).

Solution:

To form an even number, we need multiples of 2 at ones place.

In the given digits 2,4,6 are even number. So, the possible ways for the ones place is 3.

We have six given digits and repetition is allowed. So, the number of possible ways for each of the remaining four places is 6.

Total number of ways to form a 5 digit even number is:

$Total=6\times 6\times 6\times 6\times 3$

$Total=3888$

Therefore, total 3888 five-digit even numbers can be formed by using the given digits if repetition is allowed.

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3 years ago

PLEEZZ

jonny [76]

4 < 4(6y - 12) - 2y |use distributive property

4 < (4)(6y) + (4)(-12) - 2y

4 < 24y - 48 - 2y |add 48 to both sides

52 < 26y |divide both sides by 26

2 < y → y > 2

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4x + 3 < 3x + 6 |subtract 3 from both sides

4x < 3x + 3 |subtract 3x from both sides

x < 3

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-5r + 6 ≤ -5(r + 2) |use distributive property

-5r + 6 ≤ (-5)(r) + (-5)(2)

-5r + 6 ≤ -5r - 10 |add 5r to both sides

6 ≤ -10 FALSE

No solution

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-2(6 + s) ≥ -15 - 2s |use distributive property

(-2)(6) + (-2)(s) ≥ -15 - 2s

-12 - 2s ≥ -15 - 2s |add 2s to both sides

-12 ≥ -15 TRUE

All real numbers

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3s + 6 ≤ -5(s + 2) |use distributive property

3s + 6 ≤ (-5)(s) + (-5)(2)

3s + 6 ≤ -5s - 10 |subtract 6 from both sides

3s ≤ -5s - 16 |add 5s to both sides

8s ≤ -16 |divide both sides by 8

s ≤ -2

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4/3 s - 3 ?

4 0

3 years ago

If the mass of a material is 45 grams and the volume of the material is 11 cm^3, what would the density of the material be?

Nuetrik [128]

Answer:

Density of material would be 4.09 $g/cm^3$

units is $g/cm^3$

Step-by-step explanation:

Given: The mass of a material is 45 grams and the volume of the material is 11 cubic centimeter

Density is defined as mass per unit volume.

It is given by:

$p= \frac{m}{V}$ where p is the density , m is the mass and V is the volume of the material respectively.

Here, Density is expressed in grams per centimeter cubed (g/cubic cm)

Here, m = 45 g , V = 11 cubic cm

We get;

$p= \frac{45}{11}$ = 4.09 $g/cm^3$

therefore, density of a material would be, $4.09 g/cm^3$

and its units is $g/cm^3$

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3 years ago