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allsm [11]
3 years ago
6

You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side

to construct a valid triangle?
a. 8 centimetersB. 6 centimetersC. 4 centimetersD. 10 centimetersE. 2 centimetersSelect all answersCorrect answers plezz
Mathematics
1 answer:
fiasKO [112]3 years ago
3 0
According to the triangle inequality property, we know that the sum of two sides of a triangle is greater than the third side. Let's assume that the length of the side is x. That said, we can make the inequalities. 

x + 3 > 5
8 > x
x + 5 > 3 

this means that x >2, 8 > x, and x > -2. We can disregard the last inequality. We can now make an answer. We know that 2<x<8, so we can use any of those values in our answer. That makes our answer: 4 cm. and 6 cm.
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Need help don’t know what to do I’m confused
umka21 [38]

Answer:B

Step-by-step explanation:

Not sure but the math came out like that.

5 0
3 years ago
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Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3
MAXImum [283]

Observe that

\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v

In the original equation, divide both sides by \dfrac12:

-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2

\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2

Next,

\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi

where n is any integer. Then

\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi

Fix n=0 to ensure -\pi, so that

v=-\dfrac\pi6,v=-\dfrac\pi2

3 0
3 years ago
What is the reason for #2?
NeTakaya

Answer:

I am not sure but i will say C.

Step-by-step explanation:

3 0
2 years ago
-4/9 * -5/8 I really want to know the answer home work is due and I need a explanation
lilavasa [31]
-4/9 times -5/8 you can cross cancel the 4 and 8 so it makes the problem -1/9 times -5/2 which equals -5/18
4 0
3 years ago
True or False<br><br> All lines are congruent to one another.
Tanya [424]

Answer:

This is false. Lines will be congruent if they have the same length, which is not the case in all situations.

8 0
3 years ago
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