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mars1129 [50]
3 years ago
10

Help answer the last two and if u wanna check to see if the first one is correct

Mathematics
1 answer:
anzhelika [568]3 years ago
7 0

Answer:

Step-by-step explanation:

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Question is 15 points
Blababa [14]

sin(x+y)=sin(x)cos(y)-cos(x)sin(y)

also, remember pythagorean rule, sin^2(x)+cos^2(x)=1

given that sin(Θ)=4/5 and cos(x)=-5/13

find sin(x) and cos(Θ)


sin(x)

cos(x)=-5/13

using pythagorean identity

(sin(x))^2+(-5/13)^2=1

sin(x)=+/- 12/13

in the 2nd quadrant, sin is positve so sin(x)=12/13


cos(Θ)

sin(Θ)=4/5

using pythagrean identity

(4/5)^2+(cos(Θ))^2=1

cos(Θ)=+/-3/5

in 1st quadrant, cos is positive

cos(Θ)=3/5


so sin(Θ+x)=sin(Θ)cos(x)+cos(Θ)sin(x)

sin(Θ+x)=(4/5)(-5/13)+(3/5)(12/13)

sin(Θ+x)=16/65



answer is 1st option

7 0
3 years ago
in germany, VAT is at 19% Jeremy buys a calculator in germny for €58.31 This price includes VAT Find the amount of VAT paid by
Len [333]

We can use this equation to solve this problem:

<span>t=p+<span>(p⋅r)</span></span>

Where:

t is the total price paid: 58.31 for this problem

p is the price before taxes: What we are solving for in this problem.

r is the tax or VAT rate: 19% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 19% can be written as <span>19100</span> or 0.19.

Substituting and solving for p gives:

<span>58.31=p+<span>(p⋅0.19)</span></span>

<span>58.31=1p+0.19p</span>

<span>58.31=<span>(1+0.19)</span>p</span>

<span>58.31=1.19p</span>

<span><span>58.311.19</span>=<span><span>1.19p</span>1.19</span></span>

<span>49=<span><span>1.19p</span>1.19</span></span>

<span>49=p</span>

<span>p=49</span>

Now, we can find how much the VAT was by taking 19% of 49:

<span>19%×49=0.19×49=9.31</span>

Another was to solve this is to subtract the price without the tax or VAT from the total price giving:

<span>58.31−49=<span>9.31</span></span>

4 0
3 years ago
Read 2 more answers
Please please help me out
masya89 [10]

Answer:  y = 3x + 1

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

The equation is in Slope-Intercept format: y = mx + b      where

  • m is the slope <em>(difference in y's over difference in x's)</em>
  • b is the y-intercept   <em>(value of y when x = 0)</em>

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\\text{Let }(x_1,y_1)=(0,1)\quad \text{and}\quad \text{let }(x_2, y_2)=(1,4)\quad then\\\\m=\dfrac{4-1}{1-0}=\dfrac{3}{1}=3

b = 1     <em>refer to the table that shows y = 1 when x = 0</em>

Now input m = 3 and b = 1 into the Slope-Intercept formula:

y = 3x + 1

8 0
3 years ago
4 -2x plus 5 when x =4
Bess [88]

Answer:

1

Step-by-step explanation:

f(4)=4-2x+5

4-2(4)+5

4-8+5

1

6 0
2 years ago
Read 2 more answers
I need help making a proof for geometry! Here is the question…
MatroZZZ [7]

Answer:

Step-by-step explanation:

4 0
2 years ago
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