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3 years ago

Find the pattern. fill in the blanks. 251,351

Mathematics

1 answer:

Rus_ich [418]3 years ago

6 0

Answer:

451, 551, 651, 751, 851, 951, 1051, 1151,

Step-by-step explanation:

you're adding 1 each time you progress through the pattern. Btw pls rate me BRAINLYIEST im in 8th grade.

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Given function f(x) =3x^2-4 what is f(-2)

artcher [175]

F(-2)=8 this is the answer. you just substitue

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3 years ago

Find the 37th term of the arithmetic sequence: -38,-8,22,52

Leya [2.2K]

Answer:

1042

Step-by-step explanation:

-38,-8,22,52

The common difference is 52 - 22 = 30

a_1 = -38

a_2 = -38 + 30

a_3 = -38 + 2 * 30

a_4 = -38 + 3 * 30 (notice that the common difference is multiplied by 1 less than the term number)

a_n = -38 + (n - 1)30 (since the term number is n, we multiply the common difference by n - 1)

a_n = -38 + 30(n - 1)

a_37 = -38 + 30(37 - 1)

a_37 = 1042

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2 years ago

Show that √(1-cos A/1+cos A) =cosec A - cot A

Gennadij [26K]

Hi there!

$\sqrt{\frac{1-cosA}{1+cosA}} =$

We can begin by multiplying by its conjugate:

$\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}} = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =$

Simplify using the identity:

$1 - cos^2A = sin^2A$

$\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =$

Take the square root of the expression:

${\frac{sinA}{1+cosA} =$

Multiply again by the conjugate to get a SINGLE term in the denominator:

${\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\$

Simplify:

${\frac{sinA(1-cosA)}{1-cos^2A} =$

Use the above trig identity one more:

${\frac{sinA(1-cosA)}{sin^2A} =$

Cancel out sinA:

${\frac{(1-cosA)}{sinA} =$

Split the fraction into two:

${\frac{1}{sinA} - \frac{cosA}{sinA} =$

Recall:

$1/sinA = cscA\\\\cosA/sinA = cotA$

Simplify:

$\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}$

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2 years ago

At the bank brent exchanges $50 in bills for 50 one-dollars coins. the total mass of the coins is 405 grams. estimate the mass o

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8 as you round up 405 to 400 and divide by 50 and get 8

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