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Sergeu [11.5K]
3 years ago
10

Which function can be used to find the number of ounces of coffee in the can based on its radius?

Mathematics
1 answer:
8090 [49]3 years ago
5 0

Answer:

A

Step-by-step explanation:

The answer is A I hope it helped!

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Perform the indicated operations. Write the answer in standard form, a+bi.<br> 5-3i / -2-9i
Vsevolod [243]

\huge \boxed{\mathfrak{Answer} \downarrow}

\large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\

Multiply both numerator and denominator of \sf \frac{5-3i}{-2-9i} \\ by the complex conjugate of the denominator, -2+9i.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)})  \\

Multiplication can be transformed into difference of squares using the rule: \sf\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}})  \\

By definition, i² is -1. Calculate the denominator.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85})  \\

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

\large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85})  \\

Do the multiplications in \sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right).

\large \bf \: Re(\frac{-10+45i+6i+27}{85})  \\

Combine the real and imaginary parts in -10+45i+6i+27.

\large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85})  \\

Do the additions in \sf-10+27+\left(45+6\right)i.

\large \bf Re(\frac{17+51i}{85})  \\

Divide 17+51i by 85 to get \sf\frac{1}{5}+\frac{3}{5}i \\.

\large \bf \: Re(\frac{1}{5}+\frac{3}{5}i)  \\

The real part of \sf \frac{1}{5}+\frac{3}{5}i \\ is \sf \frac{1}{5} \\.

\large  \boxed{\bf\frac{1}{5} = 0.2} \\

3 0
3 years ago
∠A and ∠B are complementary angles. The measure of ∠A=4x° and the measure of ∠B=50°. Find m∠A. * i dont understand can someone h
jolli1 [7]

Answer:

m>a is 40

Step-by-step explanation:

4x + 50 = 90

4x = 40

x = 10

10*4 = 40

M>A = 40

3 0
3 years ago
Review questions
a_sh-v [17]

Answer:

slope: -3/4    y-intercept: 3   equation: y=(-3/4)x+3

6 0
3 years ago
HELP ASAP!
Ann [662]

Answer:

9 and 41 over 51

Step-by-step explanation:

divide 41 2/3 by 4 1/4

8 0
3 years ago
Read 2 more answers
What is the value of the following expression 1.8 + 0.5(y + 6) - 2 t the power of 3 when y = 14?
aalyn [17]

Answer: The answer should be 38.

I also saw that you placed a t after the -2 so I wasn't sure if it was a mistake or if it was on purpose or you left another t out of the problem on accident.

Step-by-step explanation:

2.3   (14+6)   -2 to the power of three

2.3    (20)     -2 to the power of three

2.3     (20)     -8

    46-8

      38

I really hoped this helped and if I got it wrong with the t just reply to me c:

4 0
3 years ago
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