All categories

3 years ago

Are HMS is the same as Are HSM, since they use the same letters and points on the circle

Mathematics

1 answer:

OLga [1]3 years ago

4 0

Step-by-step explanation:

its "false" they r not same.

stay safe healthy and happy.

You might be interested in

Solve the inequality −x/2<4

FinnZ [79.3K]

Isolate the x. First, multiply 2 to both sides

-x/2(2) < 4(2)

-x < 4(2)

-x < 8

Isolate the x. Divide - 1 to both sides (because you are dividing a negative number, flip the sign).

-x/ -1 < 8/-1

x > -8 is your answer

hope this helps

5 0

3 years ago

PLEASE HELP NOW!! thanks:))

algol13

Answer:

I think it is A

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A rectangle has a side length of 3 feet and an area of 24 squared feet. A larger similar triangle has a corresponding length of

Zinaida [17]

3*w=24
w=8
9/3=3
8*3=24

9*24=216

7 0

4 years ago

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

3 years ago

A father wishes to give his son P200, 000 ten years from now. What amount should he invest if it will earn interest at 10% compo

Archy [21]

Answer:

C. P69,256.82

Step-by-step explanation:

We know that,

The amount formula in compound interest is,

$A=P(1+\frac{r_1}{n_1})^{n_1t_1} (1+\frac{r_2}{n_2})^{n_2t_2}.......$

Where, P is the principal amount,

$r_1, r_2....$ are the annual rate for the different periods,

$t_1, t_2,.....$ are the number of year for different periods,

$n_1, n_2, n_3...$ are the number of periods,

Given,

A = P 200,000,

$r_1=10%=0.1$ , $n_1=4$ , $t_1=5$ , $r_2=12%=0.12$ , $n_2=1$ , $t_2=5$

Thus, by the above formula the final amount would be,

$200000=P(1+\frac{0.1}{4})^{4\times 5}(1+\frac{0.12}{1})^{1\times 5}$

$200000=P(1+0.025)^{20}(1+0.12)^5$

$200000=P(1.025)^{20}(1.12)^5$

$\implies P=69,256.824\approx 69,256.82$

Option C is correct.

8 0

3 years ago