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2 years ago

PLEASE HELP ME FIGURE THIS OUT 1...

Mathematics

1 answer:

yaroslaw [1]2 years ago

3 0

Answer: 2

<u>Step-by-step explanation:</u>

30°-60°-90° triangle has the following corresponding sides: b - b√3 - 2b

csc 30° = $\frac{1}{sin30}$ = $\frac{hypotenuse}{opposite}$ = $\frac{2b}{b}$ = 2

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2 years ago

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dimaraw [331]

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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2 years ago

If tñ=2ñ+3, find S10

Allisa [31]

Answer:

$S_{10}=280$

Step-by-step explanation:

Given that,

$t_n=2n+3$ ...(1)

We need to find the value of $S_{10}$ .

Put n = 1 to find the first term.

$t_1=2(1)+3=5$

Put n = 2 to find the second term.

$t_2=2(2)+3=7$

Put n = 3 to find the third term.

$t_3=2(3)+3=9$

Put n = 10 to find the tenth term.

$t_{10}=2(10)+3=23$

It means we need to find the sum of 5,7,9,.....,23.

The formula for the sum of n terms is given by :

$S_=\dfrac{n}{2}(a+a_n)$

We have, n = 10, a = 5 and $a_n=23$

So,

$S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280$

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2 years ago

A radio telescope array is in an unpopulated desert region. The array covers a rectangular area that is one fourth square kilome

kramer

Answer:

3 km

Step-by-step explanation:

The area of a rectangle is given by the formula ...

A = LW

Filling in the given information, we can solve for the length.

1/4 = L·(1/12)

Multiplying by 12, we see that ...

3 = L

The array is 3 kilometers long.

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2 years ago