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Brut [27]
3 years ago
15

Which three length cannot be the length of the sides of a triangle

Mathematics
1 answer:
Whitepunk [10]3 years ago
5 0

The missing choices are here

A. 23 m, 17 m, 14 m

B. 11 m, 11 m, 12 m

C. 5 m, 7 m, 8 m

D. 21 m, 6 m, 10 m

Answer:

21 m, 6 m, 10 m cannot be the length of the sides of a triangle ⇒ D

Step-by-step explanation:

There is a fact to form a triangle:

The sum of the lengths of the two smaller sides must be greater than the length of the third side

A.

∵ The smallest sides are 14 m and 17 m

∵ Their sum = 14 + 17 = 31 m

∵ The third side is 23 m

∵ 31 > 23

∴ 23 m, 17 m, 14 m can be the length of the sides of a triangle

B.

∵ The smallest sides are 11 m and 11 m

∵ Their sum = 11 + 11 = 22 m

∵ The third side is 12 m

∵ 22 > 12

∴ 11 m, 11 m, 12 m can be the length of the sides of a triangle

C.

∵ The smallest sides are 5 m and 7 m

∵ Their sum = 5 + 7 = 12 m

∵ The third side is 8 m

∵ 12 > 8

∴ 5 m, 7 m, 8 m can be the length of the sides of a triangle

D.

∵ The smallest sides are 6 m and 10 m

∵ Their sum = 6 + 10 = 16 m

∵ The third side is 21 m

∵ 16 < 21

∴ 21 m, 6 m, 10 m cannot be the length of the sides of a triangle

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Jessica completed 21 math problems in 14 minutes. At this rate, how many math problems could she complete in 30 minutes?
harina [27]
To do this problem, you need to find how many questions per minute she can do. You would need to do 21 divided by 14. Which equals 1.5 questions per minute. From there you would do 1.5 times 30 and get 45.

So she can get 45 questions in 30 minutes.


Hope that helps!!
6 0
3 years ago
A guy wire runs from the top of a cell tower to a metal stake in the ground. Lincoln places a 10-foot tall pole to support the g
Lisa [10]

Step-by-step explanation:

2 right triangles are formed.

x is the angle btw wire and grnd

tan x = 10/5 = 2

tanx = ht of tower/(5+14)

2 = tower ht/19

tower ht = 38

length of wire =

\sqrt{ {38}^{2} +  {19}^{2}  }

7 0
2 years ago
In a right triangle, the hypotenuse is three inches more than twice the length of one leg. If the other leg is 12 inches, what i
andrew-mc [135]

Answer:

Length of hypothenuse = 13 inches

Length of other leg = 5 inches

Step-by-step explanation:

A triangle has three sides and three angles. A right angle triangle has 90 degrees as one of the angles. The remaining two angles are complimentary. This means that the sum if the other two angles is 90 degrees.

The longest side is the hypotenuse. The shorter sides are the opposite and adjacent.

In this triangle, the hypotenuse is three inches more than twice the length of one leg. Let the length of one leg be x inches.

Hypothenuse = 2x + 3

The other leg is 12 inches.

The diagram is illustrated in the attached photo.

Applying Pythagoras theorem,

Hypothenuse ^2 = adjacent^2 + opposite ^2

(2x+3)^2 = 12^2 + x^2

(2x+3)(2x+3)= 144 + x^2

4x^2 + 6x + 6x + 9 = 144 + x^2

4x^2 - x^2 + 6x + 6x + 9 - 144 = 0

3x^2 +12x - 135 = 0

3x^2 +27x - 15x - 135 = 0

3x(x+9)-15(x+9)=0

(3x -15)(x+9) = 0

3x -15 = 0 or x+9= 0

3x = 15 or x = -9

x = 15/3 = 5

x = 5inches because it cannot be negative.

Length of hypothenuse = 2x + 3

= 2×5 + 3 = 10 + 3 = 13 inches

6 0
3 years ago
Absolute value of 5=|3×-2|
irina [24]
So, x=7/3, -1.
5=3x-2
x=7/3
Here change 5 to -5.
5= 3x-2
x=-1
3 0
3 years ago
Read 2 more answers
If 49x2 + 28x - 10 is rewritten as p2 + 4p -10, what is p in terms of<br> p=
madam [21]

Answer:

p=7x

Step-by-step explanation:

49x^[2] + 28x - 10 = p^[2] + 4p -10

This equation is in the form a^[2]x + bx + c.

<u><em>The 'c' is common for both equations, this means the 'a' and 'b' must also be common. </em></u>

There are two ways to find p: 'a' or 'b'

<u>a method</u>

49x^[2] = p^[2]

=> The square root of both sides = 7x = p

<u>b method</u>

28x = 4p

28x/4 = 4p/4

7x = p

6 0
3 years ago
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