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iris [78.8K]
3 years ago
9

Help me with answers plz

Mathematics
1 answer:
pav-90 [236]3 years ago
3 0
3÷8+1÷8-(9÷8+5÷8) =3÷8+1÷8-(14÷8) =3÷8+1÷8-14÷8 =(3+1-14)÷8 =-10÷8 =-5÷4 =-1.25
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Find 2 common angles that sum to (17pi/12) 2. Evaluate tan(17pi/12) using the sum identity for tangent.
Dmitry [639]
Note that
\frac{17 \pi }{12} = \frac{3 \pi }{12} + \frac{14 \pi }{12} = \frac{ \pi }{4} + \frac{7 \pi }{6}

Note that
x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }

Use the identity
tan(x+y)= \frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

Therefore
tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} =  \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )}  = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}

Answer: 2 + √3
8 0
3 years ago
Can someone please do this for me or help me pleasee i beg
zlopas [31]
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8 0
3 years ago
Find f(-3) for f(x) = 4(2)^x<br> A. 1/8<br> B. -32<br> C. 1/2<br> D. -24
Law Incorporation [45]

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Find f(-3) for f(x) = 4(2)^x

  • D.-24

((−3)(4))(2)

=(−12)(2)

=−24

8 0
3 years ago
A senior class at Smith High School has 84 students.
sattari [20]

Answer: 44 boys and 40 girls

Step-by-step explanation:

x = number of girls

x + 4 = number of boys

x + x + 4 = 84

2x + 4 = 84

2x = 80

x = 40

84 - 40 = 44

3 0
3 years ago
Alice placed $1,900 in a savings account which earns 2.2% interest, compounded every year. How much will she have in the account
ella [17]

She will have $2118 in her account after five years

<h3>How to determine the amount in five years?</h3>

The given parameters about the compound interest are

Principal Amount, P = $1,900

Interest Rate, R = 2.2%

Time, t = 5

Compound interests are different from simple interest, and they are calculated using the following compound interest formula

CI = P(1 + R)^t - P

To calculate the amount, we have:

A = P + CI

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

Substitute the known values in the above equation

A = 1900 * (1 + 2.2%)^5

Express 2.2% as decimal

A = 1900 * (1 + 0.022)^5

Evaluate the sum

A = 1900 * (1.022)^5

Evaluate the exponent

A = 1900 * 1.11495

Evaluate the product

A = 2118

Hence, she will have $2118 in her account after five years

Read more about compound interest at:

brainly.com/question/24924853

#SPJ1

6 0
1 year ago
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