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Misha Larkins [42]
3 years ago
8

How many different triangles can you make if you are given these three lengths for sides? 17cm, 23cm, and 13cm.

Mathematics
1 answer:
Natalija [7]3 years ago
7 0

Answer:

1 triangle can be formed

Step-by-step explanation:

We are given three side lengths, which are 17cm, 23cm, and 13cm. So, we can form the triangle when;

17 + 23 > 13

17 + 13 > 23

23 + 13 > 17

Since the above conditions are met, then we can form one triangle.

Now, each next triangle with the same sides lengths will be congruent to the first triangle by SSS postulate.

SSS postulate states that: If the three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Thus, only 1 triangle can be formed.

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Solve the following equations.<br> √3 ⋅ 3^3x = 9
GREYUIT [131]

Answer:

The solution is x = 0.5

Step-by-step explanation:

We need to write everything as a power of 3.

We know that:

\sqrt{a} = a^{0.5}

So

\sqrt{3} = 3^{0.5}

And

9 = 3^{2}

This following property is also important:

\frac{a^{b}}{a^{c}} = a^{b-c}

To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side

\sqrt{3}.3^{3x} = 9

3^{0.5}.3^{3x} = 3^{2}

3^{3x} = \frac{3^{2}}{3^{0.5}}

3^{3x} = 3^{2-0.5}

3^{3x} = 3^{1.5}

This means that:

3x = 1.5

x = \frac{1.5}{3}

x = 0.5

5 0
3 years ago
Find the area and the circumference of a circle with diameter 9 yards using the value 3.14 for pi
Ray Of Light [21]
Area of circle = pi r^, (r)radius is half the diameter so 9÷2=4.5 so in this scenario it would be 3.14×4.5^
3.14×4.5×4.5=63.6

circumference of circle= diameter×pi (3.14)
so 9×3.14=28.3
5 0
3 years ago
Jamie has 8/10 of a candy bar leftover. He wants to split it into 1/3. How many 1/3 pieces can he make
anyanavicka [17]
He can make 3 pieces. Since he has 8/10 of a candy bar, it is then simplified to 4/5 of a candy bar. You need to find 1/3 of that, that is 4/15. Then how many times does 4/15 fit into 4/5, well simply do this: (4/15)x=4/5. Solving for x should give you 3.
6 0
3 years ago
Read 2 more answers
Write square root of 64 - square root of -289 as a complex number in the form of a+bi
stellarik [79]

Answer:

\sqrt{64}-\sqrt{-289}

=8-17i

Step-by-step explanation:

\sqrt{64}=8 because 8(8)=64 and 8 is the positive square root of 64.

\sqrt{-289}=17i because 17i(17i)=289i^2=-289(-1)=-289.

\sqrt{64}-\sqrt{-289}

8-17i

8 0
3 years ago
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4
IgorC [24]

Answer:

1 : 2 :3

Step-by-step explanation:

1/4 apple juice

2/5 orange juice

1/4 - 2/5

20 - 40 /20 = 20/20

                    = 1

answer = 1 :2 : 3

4 0
3 years ago
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