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3 years ago

This is confusing. can someone please help

Mathematics

2 answers:

kolezko [41]3 years ago

8 0

For finding the measure of C you should know a line is 180° so 124°+C = 180
now you can say:
C = 180°- 124° = 56 °
so the answer is 56° :)))
i hope this is helpful
have a nice day

andrey2020 [161]3 years ago

4 0

The answer is 56. 180-124=56.

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40 is what percent of 32

Jobisdone [24]

40 = x% of 32

32x = 40
x = 40/32
x = 1.25

multiply by 100 to convert to percentage...

x = 125%

40 is 125% of 32

8 0

3 years ago

Read 2 more answers

Camden has an action figure collection of 380 action figures. He keeps 55% of the action figures on his wall. How many action fi

svet-max [94.6K]

209 action figures on his wall

380/100 = 3.8
so there would be 3.8 action figures per 1%
then 3.8*55 =209

6 0

2 years ago

Only answer if you know! no spams :)

artcher [175]

Answer:

The correct answer is C.

Step-by-step explanation:

There are 8 slots on Spinner B.

3 of those slots have squares.

Hence out of all the slots, 3/8 of them have squares.

Hope this helps:) Goodluck!

5 0

1 year ago

Read 2 more answers

Given that −4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f

GalinKa [24]

Answer:

$\large \boxed{\sf \bf \ \ f(x)=(x-4i)(x+4i)(x+3)(x-5) \ \ }$

Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

$\text{Meaning that } (x-4i)(x+4i) =x^2-(4i)^2=x^2+16 \text{ is a factor of f(x).}$

The coefficient of the leading term is 1 and the constant term is -240 = 16 * (-15), so we a re looking for a real number such that.

$f(x)=x^4-2x^3+x^2-32x-240\\\\ =(x^2+16)(x^2+ax-15)\\\\ =x^4+ax^3-15x^2+16x^2+16ax-240$

We identify the coefficients for the like terms, it comes

a = -2 and 16a = -32 (which is equivalent). So, we can write in $\mathbb{R}$ .

$\\f(x)=(x^2+16)(x^2-2x-15)$

The sum of the zeroes is 2=5-3 and their product is -15=-3*5, so we can factorise by (x-5)(x+3), which gives.

$f(x)=(x^2+16)(x^2-2x-15)\\\\=(x^2+16)(x^2+3x-5x-15)\\\\=(x^2+16)(x(x+3)-5(x+3))\\\\=\boxed{(x^2+16)(x+3)(x-5)}$

And we can write in $\mathbb{C}$

$f(x)=\boxed{(x-4i)(x+4i)(x+3)(x-5)}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0

2 years ago

sonja wants to have $14000 in 13 years. calculate how much she should invest now at 6% interest, compounded semiannually in orde

mariarad [96]

She should invest $6491.73.

The equation we use to solve this is in the form
$A=p(1+\frac{r}{n})^{nt}$ ,
where A is the total amount in the account, p is the principal invested, r is the interest rate as a decimal, n is the number of times per year the interest is compounded, and t is the amount of time.

A in our problem is 14000.
p is unknown.
r is 6% = 6/100 = 0.06.
n is 2, since it is compounded semiannually.
t is 13.

$14000=p(1+\frac{0.06}{2})^{13*2}
\\
\\14000=p(1+0.03)^{26}
\\
\\14000=p(1.03)^{26}
\\
\\\text{Dividing both sides by }1.03^{26}\text{, we have}
\\
\\\frac{14000}{1.03^{26}}=\frac{p(1.03)^{26}}{1.03^{26}}
\\
\\6491.73\approx p$

5 0

2 years ago