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s2008m [1.1K]
3 years ago
5

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

so

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

so

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

y=-1/2x-8

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
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