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hoa [83]
4 years ago
5

The segments shown below could form a triangle

Mathematics
1 answer:
Arisa [49]3 years ago
8 0
True.

For a triangle to have one interior (closed figure), the sum of two of its sides has to be greater than the other side. This rule applies to every combination of the triangle. 8+1=9, which is greater than 8. 8+8=16, which is greater than 1. Since every combination works, these segments can form a triangle.
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What’s the quotient of 20 and 2
olasank [31]

the answer is 10 hoped this helped have a great day


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3 years ago
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A truck driver who covers the interstate in 4 1/2hours traveling at the posted speed of 55 mph. If the speed limit is raised to
kotegsom [21]

Answer: The same trip will require 3.8 hours.

Step-by-step explanation:

Since we have given that

Time = 4\dfrac{1}{2}=\dfrac{9}{2}

Speed = 55 mph

So, distance would be

Speed\times time=55\times 4.5=247.5\ miles

If the speed limit = 65 mph

So, time will be

\dfrac{247.5}{65}=3.8\ hours

Hence, the same trip will require 3.8 hours.

6 0
4 years ago
Solve.
Ne4ueva [31]

Answer:

x = -6                  x = -1

Step-by-step explanation:

x^2 + 7x + 6 = 0

Factor

What two numbers multiply to 6 and add to 7

6*1 = 6

6+1 = 7

(x+6) (x+1) =0

Using the zero product property

x+6 = 0  x+1 = 0

x+6-6 =0 -6       x+1-1 = 0-1

x = -6                  x = -1

8 0
3 years ago
Rickey has been commissioned to paint a mural that is allowed to have an area of 50 square meters. To make the rectangle shape o
Leno4ka [110]

Answer:

12.808 meter is the length should Rickey use for the mural.

Step-by-step explanation:

Area of the mural = A = 50 m^2

Length of the mural = l

Width of the mural = w

l = 5 + 2w

Area of the rectangle = l × w

A=(5+2w)\times w

50 m^2=5w+2w^2

2w^2+5w-50=0

Solving above equation with the help of Completing squares method:

(\sqrt{2}w)^2+2\times \sqrt{2}w\times \frac{5}{2\sqrt{2}}+(\frac{5}{2\sqrt{2}})^2-50=(\frac{5}{2\sqrt{2}})^2

(a+b)^2=a^2+b^2+2ab

(\sqrt{2}w+\frac{5}{2\sqrt{2}})^2=(\frac{5}{2\sqrt{2}})^2+50

(\sqrt{2}w+\frac{5}{2\sqrt{2}})^2=\frac{25}{8}+50

(\sqrt{2}w+\frac{5}{2\sqrt{2}})^2=\frac{425}{8}

(\sqrt{2}w+\frac{5}{2\sqrt{2}})=\pm\sqrt{\frac{425}{8}}

w = 3.904 m (accept)

w = -6.404 m (reject)

l = (5 + 2w)m = 5 + 2 × (3.904) m= 12.808 m

12.808 meter is the length should Rickey use for the mural.

3 0
3 years ago
What is the value of 2^-3?<br><br> please answer with one of the options given belown (a,b,c,or d)
Tju [1.3M]

Answer:

B. 1/8

Step-by-step explanation:

5 0
3 years ago
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