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3 years ago

How do arithmetic sequences and series differ?

Mathematics

2 answers:

Iteru [2.4K]3 years ago

6 0

Sequences=characterised by a common ratio
series: sum of the terms in a geometric sequence

Rama09 [41]3 years ago

3 0

Answer:

Arithmetic sequences are separated by commas, while series are added together.

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Two right triangles are shown. First, find the missing leg of the triangle on the right. Then you have two lengths to use to fin

jasenka [17]

Answer:

x = 30m

Step-by-step explanation:

GIVEN :-

There are 2 right-angled triangles.

In the triangle on the right side ,

Hypotenuse = 26m
Base = 10m

In the triangle on the left side ,

Base = 18m

TO FIND :-

Length of the common perpendicular to both triangles.
Length of the hypotenuse of the triangle on the left side.

FACTS TO KNOW BEFORE SOLVING :-

$Hypotenuse = \sqrt{Base^2 + Perpendicular^2}$ .
$Perpendicular = \sqrt{Hypotenuse^2 - Base^2}$

SOLUTION :-

In the triangle on the right side ,

$Perpendicular = \sqrt{26^2 - 10^2} = \sqrt{676 - 100} = \sqrt{576} = 24m$

⇒ Perpendicular of the triangle on right side = Perpendicular of the triangle on left side.

In the triangle on the left side ,

$Hypotenuse = \sqrt{24^2 + 18^2} = \sqrt{576 + 324} = \sqrt{900} = 30m$

∴ x = 30m

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tiny-mole [99]

Answer:

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Step-by-step explanation:

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First, let's find the area of the triangle:

$A=\dfrac{1}{2}bh=\dfrac{1}{2}\times3\times4=6$

Now, we multiply this area by the length of the prism, which is 20

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Thus, the answer is answer choice D.

Let me know if you need any clarifications, thanks!

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