The surface area of a composite figure

Mathematics

1 answer:

Aleks [24]3 years ago

8 0

Whats your question?

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Do the ratios 42/56 and 56/64 form a proportion?<br> if they do explain your answer

Volgvan

Lets check...

42/56 = 56/64
cross multiply
(56)(56) = (42)(64)
3136 = 2688...(incorrect)...these are not proportional

proportions are nothing but equivalent fractions
42/56 = 3/4
56/64 = 7/8
as u can see, they are not equivalent fractions...so they are not proportional

4 0

3 years ago

Use the explicit formula an = a1 + (n – 1) • d to find the 250th term of the sequence below. 57, 66, 75, 84, 93, ...

strojnjashka [21]

The general term of an arithmetic sequence is,

$a_{n} =a_{1} +(n-1)d$

Where , $a_{n}$ = nth term.

$a_{1}$ = First term

and d = common difference.

The given sequence is: 57, 66, 75, 84, 93, ...

Here $a_{1}$ = 57,

d = 66 - 57 = 9

We need to find the 250th term. So, n = 250.

Next step is to plug in these values in the above formula. Therefore,

$a_{250} =57 +(250-1)*9$

= 57 + 249 * 9

= 57 + 2241

= 2298

Therefore, 250th of this sequence is 2298

Hope this helps you!

5 0

4 years ago

Solve for x. Round to the nearest tenth if necessary.

timofeeve [1]

Answer: 41.1

Step-by-step explanation:

To find the value of x, we need to use SOH-CAH-TOA. SOH-CAH-TOA is since, cosine, and tangent. The O, A, H stands for opposite, adjacent, and hypotenuse respectively.

Looking at the figure, we see 47°. The labelled angles are adjacent and the hypotenuse. Therefore, we use CAH or cosine.

$cos(47)=\frac{28}{x}$ [multiply both sides by x]