Which of the following numbers can be expressed using negative exponents? Select one: a. .0005216 b. 5,216 c. -5,216 d. 52.16

Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

7 0

2 years ago

Help me please, I’m stuck!

Veseljchak [2.6K]

Answer:

5. (x, y) ⇒ (x +5, y +1)

6. (x, y) ⇒ (x +4, y -1)

Step-by-step explanation:

A translation rule will generally have the form ...

(x, y) ⇒ (x +h, y +k)

where (h, k) is the horizontal and vertical distance to the right and up that the figure is being translated.d

5) The image is 5 units right and 1 unit up from the original, so in the above formula, (h, k) = (5, 1) and the translation rule is ...

(x, y) ⇒ (x +5, y +1)

__

6) The image is 4 units right and 1 unit down from the original, so (h, k) = (4, -1) and the transformation rule is ...

(x, y) ⇒ (x +4, y -1)

4 0

3 years ago

Write down a fraction whose value lies between 3 and 4; whose denominator is a multiple of 5; whose numerator is a multiple of 1

slamgirl [31]

Answer:

33/10 and 55/15

Step-by-step explanation:

Possible denominators that are multiples of 5 less than 17 are 5, 10, 15.

Corresponding numerator ranges are [15, 20], [30, 40], and [45, 60]. In only two of these ranges are there any multiples of 11.

33 in [30, 40]

55 in [45, 60]

So, there are only two possible fractions meeting your requirement:

33/10 and 55/15

6 0

3 years ago

Is 11/2 and 6/11 equivalent? Plz I need the help☹️

trapecia [35]

For this case we have the following fractions:

$\frac {11} {2}\\\frac {6} {11}$

We must rewrite the fractions, using the same denominator.

We have then:

We multiply the first fraction by 11 in the numerator and denominator:

$\frac {11} {2} \frac {11} {11}$

We multiply the second fraction by 2 in the numerator and denominator:

$\frac {6} {11} \frac {2} {2}$

Rewriting we have:

For the first fraction:

$\frac {121} {22}$

For the second fraction:

$\frac {12} {22}$

We note that:

$\frac {121} {22}> \frac {12} {22}$

Answer:

The fractions are not equivalent:

$\frac {11} {2}> \frac {6} {11}$

5 0

3 years ago

Magdalena Figueroa's covered medical care bills for a recent illness were $8,440.00. Her major medical policy had a coinsurance

devlian [24]

Medical bill = $8,440
Deductible = $400
Coinsurance plan = Medical policy 80% of all expenses above $400

Amount to pay = 400+ (8440-400)*20/100 = 400+1608 = $2,008

8 0

3 years ago