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3 years ago

If the nth term is 3n+4, then the simplified (n+1)st term would be 3n+5. (True or False)

Mathematics

1 answer:

morpeh [17]3 years ago

7 0

Answer:

$\large \boxed{\sf False}$

Step-by-step explanation:

$3n+4$

Replace the n with n+1 to find the (n+1)st term.

$3(n+1)+4$

Expand brackets.

$3n+3+4$

Add like terms.

$3n+7$

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Step-by-step explanation:

Assuming figure to be trapezoid,

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3 years ago

Two ships leave the same port in different directions, forming a 120° angle between them. One ship travels 70 mi. and the other

kondaur [170]

Answer : Distance between the ships to the nearest miles = 106.03 ≈ 106 mi.

Explanation :

Since we have shown in the figure below :

a=70 mi.

b=52 mi.

c=x mi.

$\text{Since two ships leaves the same port in different directions forming a }120\textdegree\text{angle between them.}$

So, we use the cosine rule , which states that

$c^2=a^2+b^2-2ab.cosC\\\\x^2=70^2+52^2-2\times 70\times 52\times cos(120\textdegree)\\\\x^2=4900+2704-7280\times (-0.5)\\\\x^2=7604+3640\\\\x^2=11244\\\\x=\sqrt{11244}\\\\x=106.03$

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4 years ago