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3 years ago

31

Mathematics

1 answer:

vovikov84 [41]3 years ago

6 0

Answer:

I believe the answer is $19

Step-by-step explanation:

You would set it up as a proportion. 380/20, x/1. You would multiply 1 by 380 and divide 380 by 20, which equals 19

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If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

4 years ago

What is the oblique asymptote of gx) = x2-3x-5?

oee [108]

Answer:

B) $y=x-5$

Step-by-step explanation:

Because $g(x)=\frac{x^2-3x-5}{x+2}$ simplifies to $x-5+\frac{5}{x+2}$ , we only care about the quotient, which will be our oblique asymptote equation. Therefore, the oblique asymptote for the function will be $y=x-5$ . See the attached graph for a visual.

3 0

3 years ago

the number of televisions owned by Matt's classmates is 1, 4, 3, 3, 2, 1, and 7. what is the mean absolute deviation for the num

erik [133]

The answer is 3
Add all numbers (21) then divide by 7 (there are seven numbers there)
So the answe is 3

8 0

4 years ago

What is an equation of the line that passes through the points (-6,-5) and(-4,-6)?pleasee I’ll give u BRAINLEST

Fittoniya [83]

Answer:

y=-1/2x-8

Step-by-step explanation:

m=(y2-y1)/(x2-x1)=(-6-(-5))/(-4-(-6))=(-6+5)/(-4+6)=-1/2

slope is -1/2

y-y1=m(x-x1) where m=slope

y-(-5)=-1/2(x-(-6))

y+5=-1/2(x+6)

y=-1/2x-6/2-5

y=-1/2x-3-5

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6 0

3 years ago

Read 2 more answers

Arithmetic and Geometric Sequences (Context)

V125BC [204]

The formula for compound interest

A = P( 1 + r/n) ^ (nt)

A is the amount in the account at the end

P is the principal balance or the amount initially invested

r is the annual interest rate in decimal form

n is the number of times it is coupounded per year

t is the number of years

A = 1800 ( 1+ .0375/1) ^ (1*6)

A = 1800 ( 1.0375)^6

A = 2244.92138

Rounding to the nearest cent

A = 2244.92

7 0

1 year ago