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2 years ago

(Rewriting Rational Numbers LC)

Mathematics

2 answers:

Marina86 [1]2 years ago

4 0

Six and three tenths seventy hundredths five thousandths

pickupchik [31]2 years ago

3 0

The equivalent forms are <u>six and three eighths, 637.5%, fifty one eighths</u>

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Find the slope of the line that goes through the given points. (-10, -3) and (-7, -9)

Hatshy [7]

Answer:

-2

Step-by-step explanation:

rise over run or, y2-y1/x2-x1

7 0

3 years ago

Given sin(u)= -7/25 and cos(v) = -4/5, what is the exact value of cos(u-v) if both angles are in quadrant 3

solmaris [256]

Given:

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

To find:

The exact value of cos(u-v) if both angles are in quadrant 3.

Solution:

In 3rd quadrant, cos and sin both trigonometric ratios are negative.

We have,

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

Now,

$\cos (u)=-\sqrt{1-\sin^2 (u)}$

$\cos (u)=-\sqrt{1-(-\dfrac{7}{25})^2}$

$\cos (u)=-\sqrt{1-\dfrac{49}{625}}$

$\cos (u)=-\sqrt{\dfrac{625-49}{625}}$

On further simplification, we get

$\cos (u)=-\sqrt{\dfrac{576}{625}}$

$\cos (u)=-\dfrac{24}{25}$

Similarly,

$\sin (v)=-\sqrt{1-\cos^2 (v)}$

$\sin (v)=-\sqrt{1-(-\dfrac{4}{5})^2}$

$\sin (v)=-\sqrt{1-\dfrac{16}{25}}$

$\sin (v)=-\sqrt{\dfrac{25-16}{25}}$

$\sin (v)=-\sqrt{\dfrac{9}{25}}$

$\sin (v)=-\dfrac{3}{5}$

Now,

$\cos (u-v)=\cos u\cos v+\sin u\sin v$

$\cos (u-v)=\left(-\dfrac{24}{25}\right)\left(-\dfrac{4}{5}\right)+\left(-\dfrac{7}{25}\right)\left(-\dfrac{3}{25}\right)$

$\cos (u-v)=\dfrac{96}{625}+\dfrac{21}{625}$

$\cos (u-v)=\dfrac{1 17}{625}$

Therefore, the value of cos (u-v) is 0.1872.

6 0

3 years ago

A) Draw the graph of y= 4x - 1 on the grid

UkoKoshka [18]

9514 1404 393

Answer:

see attached for a graph

x = 0.5 when y = 1

Step-by-step explanation:

The graph has a y-intercept of -1, which is halfway between 0 and -2. It goes up 4 units (2 vertical grid spaces) for 1 unit to the right (1 horizontal grid space). It seems to cross y = 1 at about x = 1/2.

x = 1/2 when y = 1.

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3 years ago

What is (57/tan30°)m^2

iVinArrow [24]

57\sqrt{3}m^2. Enjoy!

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3 years ago

If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in

givi [52]

Answer:

$50

$30.88

I will invest in simple interest as the interest there is more.

Step-by-step explanation:

If I invested $500 at 5% simple interest for 2 years, then the interest that I will get will be given by the formula

$I = P \times \frac{rt}{100}$ , where P is the invested principal, r is the APR and t is the time in years.

So, in our case, $I = 500 \times \frac{5 \times 2}{100} = 50$ dollars. (Answer)

Now, if I invest $500 at 3% compound interest compounded monthly for 2 years.

Now, using the formula of compound interest we have

$I = P(1 + \frac{r}{n \times 100} )^{tn} - P$ , where r is the APR and n is the number of times in a year the principal is compounded.

In our case, $I = 500(1 + \frac{3}{12 \times 100} )^{2 \times 12} - 500 = 30.88$ dollars. (Answer)

Therefore, I will invest in simple interest as the interest there is more. (Answer)

3 0

4 years ago