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3 years ago

Simplify the radical expression. √20c^6 d^5

Mathematics

1 answer:

Lina20 [59]3 years ago

7 0

Answer:

the first and second pictures are answer of √5c^6 d^5

the third and fourth pictures are answer of √20c^6 d^5

I hope this helps a little bit .

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If sin theta= - 5/7, which of the following are possible?

Sphinxa [80]

Answer:

$\large\boxed{\sec\theta=\dfrac{7}{\sqrt{24}},\ and\ \tan\theta=-\dfrac{5}{\sqrt{24}}}\\\boxed{\cos\theta=\dfrac{\sqrt{24}}{7},\ and\ \tan\theta=\dfrac{5}{\sqrt{24}}}$

Step-by-step explanation:

$\text{Use:}\\\\\sin^2\theta+\cos^2\theta=1\to\cos\theta=\pm\sqrt{1-\sin^2\theta}\\\\\tan\theta=\dfrac{\sin\theta}{\cos\theta}\\\\\sec\theta=\dfrac{1}{\cos\theta}\\\\==========================\\\\\sin\theta=-\dfrac{5}{7}\\\\\cos\theta=\pm\sqrt{1-\left(-\frac{5}{7}\right)^2}=\pm\sqrt{1-\frac{25}{49}}=\pm\sqrt{\frac{24}{49}}=\pm\dfrac{\sqrt{24}}{\sqrt{49}}=\pm\dfrac{\sqrt{24}}{7}\\\\\sec\theta=\pm\dfrac{1}{\frac{\sqrt{24}}{7}}=\pm\dfrac{7}{\sqrt{24}}$

$\tan\theta=\pm\dfrac{-\frac{5}{7}}{\frac{\sqrt{24}}{7}}=\mp\dfrac{5}{7\!\!\!\!\diagup_1}\cdot\dfrac{7\!\!\!\!\diagup^1}{\sqrt{24}}=\mp\dfrac{5}{\sqrt{24}}$

$\sin\theta=-\dfrac{5}{7}$

6 0

3 years ago

The measure of a side of a square is x units. A new square is formed with each side 6 units longer than the original square's si

den301095 [7]

(x+6)(x+6) is the equation to find the area of the second square

6 0

3 years ago

Explain one relationship between capacity and fluid ounces

kvv77 [185]

Fluid ounces are a unit of capacity

7 0

3 years ago

Using new equipment, a worker finished 4 more parts in an hour than was planned and fulfilled his daily task not in 8 hours, but

UNO [17]

Let the planned number of parts per hour = x
 Then the planned number of parts for the day = 8x
 By finishing 4 more parts in an hour than was planned (x + 4) he fulfilled his daily task in 6 hours.
 So he finished 6(x + 4) parts that day.
 6(x + 4) = 8x
 6x + 24 = 8x
 2x = 24
 x = 12

6 0

3 years ago

Figure TUVS is a parallelogram.

poizon [28]

Angles T and V of the parallelogram are equal to 91°.

Calculating the Value of x

In the parallelogram TUVS, adjacent angles U and V are given as,

U = 4x+9

V = 6x-29

Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.

4x+9 + 6x-29 = 180

10x - 20 =180

10x = 200

x = 20

Calculating the Angles of the Parallelogram

∠U = 4x + 9

∠U = 4(20) + 9

∠U = 80 + 9

∠U = 89°

∠V = 6x - 29

∠V = 6(20) - 29

∠V = 120 - 29

∠V = 91°

According to the properties of a parallelogram, opposite angles are of equal measure.

∴ ∠T = ∠V and ∠S = ∠U

⇒ ∠T = 91° and ∠S = 89°

Learn more about a parallelogram here:

brainly.com/question/1563728

#SPJ1

5 0

2 years ago