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Bad White [126]
3 years ago
6

Verify the identity. Justify each step.

Mathematics
1 answer:
ANEK [815]3 years ago
4 0
So. Allow me to justify what i just did.
First line: by definition, tangent in sine/cosine, and cotangent is the reciprocal of that.
Second line: You have to multiply by (\frac{sin cos}{sincos}) to get a common denominator, so you get the second line.
Third line: Canceling stuff out. to get that.
Fourth line: Adding them together since they now have common denominators.
Fifth line: By terms of the pythagorean identity, sin^{2}+cos^{2}=1. so that is equal to the right side. 
Thus verified.

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Countering a cost $9.40 per sales tax. After sales tax, it cost $9.87. What is the sales tax rate?
Nady [450]
STEP 1:
find the sales tax (decimal form)

x= sales tax

Cost + (Cost * Sales Tax)= Total
plug in known numbers

$9.40 + ($9.40 * x)= $9.87

9.40 + 9.40x= 9.87
subtract 9.40 from both sides

9.40x= 0.47
divide both sides by 9.40

x= 0.47/9.40

x= 0.05 sales tax decimal form


STEP 2:
find sales tax percentage

= 0.05 * 100
or move decimal to the right two decimal places

= 5% sales tax percent form


ANSWER: The sales tax is 5% (or 0.05 in decimal form)

Hope this helps! :)
6 0
3 years ago
Read 2 more answers
1/2x-9=-25 what is your answer
Elodia [21]
First, let's only the expression with x stay on the let side: let's add 9 to both sides of the equation.

\frac{1}{2} x-9+9=-25+9
which is
\frac{1}{2}x=-16


now, let's multiply everything by 2:

\frac{2}{2} x=-16*2
x=-32


so the answer is -32!

4 0
3 years ago
Find the length of RA. A. 42 B. 84 C. 14 D. 7
fiasKO [112]

Answer:

\large \boxed{\mathrm{B. \ 84}}

Step-by-step explanation:

LU bisects RU and UA.

RU=UA

3m+21=6m

Solve for m.

Subtract 3m from both sides.

21=3m

Divide both sides by 3.

7=m

Calculate RA.

RA=3m+21+6m

RA=9m+21

Put m = 7.

RA=9(7)+21

RA=63+21

RA=84

3 0
3 years ago
Read 2 more answers
Lily took a survey of 80 students on 7th grade and 150 students in 8th grade she found that 80% of the 7th graders like country
Anarel [89]

Answer:

Step-by-step explanation:

80 over 100*150

80 divided by 100=0.8 *150=1208student

0.8 *60=48

8 0
3 years ago
Marcus has a square shaped garden that has an area of 4(x^2-y^2) square feet. If the garden has four equal sections, what is the
SpyIntel [72]

Answer:

x^2-y^2

Step-by-step explanation:

took a quiz and got it right

8 0
2 years ago
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